Canadian Foundation Engineering Manual 4th
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CANADIAN '
FOUNDATIO
ENG NEERING
.
MANUAL
4th EDITION
CANADIAN GEOTECHNICAL SOCIETY 2006
.
Preface iii
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f l ' ~ ~ ~ ; . ~ : :
Preface
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The Canadian Foundation Engineering Manual is a publication ofthe Canadian Geotechnical Society. It is originally
based on a manual prepared under the auspices of the National Research Council of Canada Associate Committee
on the National Building Code, Subcommittee on Structural Design for the Building Code. A draft manual for
public comment was published in 1975. In 1976, the Canadian Geotechnical Society assumed responsibility for the
Manual and placed it under the Technical Committee on Foundations. This coinmittee revised the 1975 draft and
published in 1978 the first edition of the Canadian Foundation Engineering Manual, which incorporated suggestions
received on the 1975 draft.
The Society solicited comments on the Manual and suggestions for revisions and additions in Seminars across the
country. In 1983, the Society requested that the Technical Committee review the comments and suggestions received
and prepare a second edition of the Manual published in 1985. A third edition was produced in 1992, including
various revisions and additions. Further developments in applied GeoEngineering and Ground Engineering are
included in this fourth edition, published in 2006.
The Manual is truly produced by the membership ofthe Canadian Geotechnical Society. The number of individuals
who have contributed to the manual first, the preparation of the 1975 draft, then the 1978 first edition, the 1985
second edition, the 1992 third edition and this 2006 fourth edition - is very large. Specific individuals who contributed
to the fourth edition were: '
D.E. Becker and 1. D. Moore (Editors)
1. Lafleur (Editor, French Edition)
S.L. Barbour
R.J. Bathurst
S. Boone
R. W.I Brachman
B. Brockbank
M. Diederichs
M.H. El Naggar
1. Fannin
D. Fredlund
I ·r-··
1. Howie
D.1. Hutchinson
J.M. Konrad
S. Leroueil
K. Novakowski
1. Shang
The Manual provides information on geotechnical aspects of foundation engineering, as practiced in Canada, so
that the user will more readily be able to interpret the intent and performance requirements ofthe National Building
Code of Canada (the release ofthis fourth edition coincides with publication ofthe NBCC, 2005) and the Canadian'
, t
iv Canadian Foundation Engineering Manual
HighwayBridgeDesignCode,2000.TheManualalsoprovidesadditionalmaterialonmattersnotcoveredbythese
Codes.
Foundationengineeringis notaprecisescience,butistoa extentbaseduponexperienceandjudgement.The
Manual assumes thattheuseris experiencedinandunderstandsthe specializedfield ofgeotechnicaland ground
engineering. TheManualis notatextbook,norasubstitutefor theexperienceandjudgementofapersonfamiliar
withthemanycomplexitiesoffoundationengineeringpractice.
TheManualcontains:
1. Acceptable design guidelines for the solution ofroutine foundation engineering problems, as based on
soundengineeringprinciplesandpractice.
2. Anoutlineofthelimitationsof certainmethodsofanalysis.
3. Informationonpropertiesofsoilandrock,includingspecificconditionsencounteredinCanada.
4. Commentsonconstructionproblems,wheretheseinfluencethedesignorthequalityofthefoundation.
TheManualcontainssuggestedrather'thanmandatoryprocedures.It istheintentionoftheCanadianGeotechnical
Society to continue theprocess ofreview, andto update the Manual as the needarises. While reasonable efforts
havebeenmadetoensurevalidityandaccuracyofinformationpresentedinthisManual,theCanadianGeotechnical
Societyanditsmembershipdisclaimanylegalresponsibilityforsuchvalidityorinaccuracy.
LayoutanddesignofthisManualwerecarriedoutbyBarbaraGoulet,Calgary,Alberta.
Comments and suggestions on the technical contents ofthe Manual are welcome. Such comments should be
addressedto:
Canadian Geotechnical Society
Technical
Email: [email protected]
v Table of Contents
Table of Contents
Preface. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. iii
1 Introduction.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 1
2 Definitions, Symbols and Units . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 2
2.1 Definitions .................................................................. 2
2.2 Symbols .................................................................. , . 5
2.2.1 The International System of Units (SI) .. , ........................ , . , , . , ..... 6
3 Identification and Classification of Soil and Rock ................... " 13
3.1 Classification of Soils ...................................................... , .. 13
3.1.1 Introduction., ........................................................ 13
3.1.2 Field Identification Procedures .................. ; ........................ 13
3.2 Classification of Rocks .... , ..................... , ........................... 19
3.2.1 Introduction.'., .... , .. , ............................................... 19
3.2.2 Geological . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
3.2.3 Structural Features of Rockmasses ........................................ 20
3.2.4 Engineering Properties of Rock Masses .... '............................... 20
4 Site Investigations ............................................ " 31
4.1 Introduction ........................................................... , , . ,. 31
4.2 Objectives of Site Investigations . , ........... , ............ , .......... , .......... 31
4.3 Background Information ....................................................... 32
4.4 Extent of Investigation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
4.4.1 Introduction.......................................................... 33
4.4.2 Depth ofInvestigation .................................................. 34
4.4.3 Number and Spacing of Boreholes .,' .................... , ................. 35
4.4.4 Accuracy ofInvestigation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 36
4.5 In-Situ Testing of Soils ........................................................ 36
4.5.1 Introduction............................................ '" ........ '" 36
4.5.2 Standard Penetration Test (SPT). , ........ , ....... , ..... , . , ........... , ... 37
4.5.3 Dynamic Cone Penetration Test (DCPT) . , .......................... , ...... 44
4.5.4 Cone Penetration Test (CPT) ............................................. 45
4.5.5 Becker Penetration Test (BPT) .......................................... , 47
4.5.6 Field Vane Test (FVT) .................................. , ............. , . 48
4,5.7 PressuremeterTests,{PMT) ...... , ....................................... 50
4.5.8 Di1atometer Test (DMT) ....... ; ...... , .......................... , ...... 55
vi Canadian Foundation Engineering Manual
4.5.9 The Plate-Load and Screw-Plate Tests ..................... : ............... 55
4.6 Boring and Sampling ....................................................... 56
4.6.1 Boring.............................. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
4.6.2 Test Pits. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 56
4.6.3 Sampling ............................................................ 57
4.6.4 Backfilling........................................................... 62
4.7 Laboratory Testing of Soil Samples .............................................. 62
4.7.1 Sample Selection ...................................................... 63
4.7.2 Index Property Tests ................................................... 63
4.7.3 Tests for Corrosivity ................................................... 63
4.7.4 Structural Properties Tests ............................................... 63
4.7.5 Dynamic Tests ......................................................... 63
4.7.6 Compaction Tests ..................................................... 64
4.7.7 Typical Test Properties ................................................. 64
4.8 Investigation of Rock ......................................................... 70
4.8.1 General ............................................................. 70
4.8.2 Core Drilling of Rock .................................................. 71
4.8.3 Use of Core Samples ..................................... : ............. 72
4.8.4 In-situ Testing ........................................................ 72
4.9 Investigation of Groundwater ................................................... 73
4.9.1 General ............................................................. 73
4.9.2 Investigation in Boreholes ............................................... 73
4.9.3 Investigation by Piezometers ............................................ 74
4.10 Geotechnical Report ......................................................... 74
4.11 Selection of Design Parameters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 .
4.11.1 Approach to Design .... : . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
4.11.2 Estimation of Soil for Design ................................... 76
4.11.3 Confirmation of Material Behaviour by Construction Monitoring. . . . . . . . . . . . . .. 77
4.12 Background Information for Site Investigations ................................... 77
5 Special Site Conditions . ................... ..................... 78
5.1 Introduction ................................................................ 78
5.2 Soils ...................................................................... 78
5.2.1 Organic Soils, Peat and Muskeg .......................................... 78
5.2.2 Normally Consolidated Clays ............................................ 78
5.2.3 Sensitive Clays ....................................................... 79
5.2.4 Swelling and Shrinking Clays ............................................ 79
5.2.5 Loose, Granular Soils .................................................. 79
5.2.6 Metastable Soils ...................................................... 79
5.2.7 Glacial Till. .......................................................... 80
5.2.8 Fill. ......................................... '.' ..................... 80
'1
5.3 Rocks ..................................................................... 80
5.3.1 Volcanic Rocks ..... ',' ................................................ 80
5.3.2 Soluble Rocks ........................................................ 80
5.3.3 Shales .............................................................. 80
5.4 Problem Conditions ............... : . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 81
5.4.1 Meander Loops and Cutoffs ............................................. 81
5.4.2 Landslides ........................................................... 81
5.4.3 Kettle Holes .......................................................... 81
5.4.4 MinedAreas ......................................................... 82
5.4.5 Permafrost ........................................................... 82
Table of Contents vii
5.4.6 Noxious or Explosive Gas ............................................... 82
5.4.7 Effects of Heat or Cold ................................................. 82
5.4.8 Soil Distortions ....................................................... 83
5.4.9 Sulphate Soils and Groundwater .......................................... 83
6 Earthquake - Resistant Design . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 84
6.1 Introduction ................................................................ 84
6.2 Earthquake Size ............................................................. 85
6.2.l Earthquake Intensity ................................................... 85
6.2.2 Earthquake Magnitude ................................................. 85
6.2.3 Earthquake Energy .................................................... 86
6.3 Earthquake Statistics and Probability of Occurrence. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86
6.4 Earthquake Ground Motions .................... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86
6.4.1 Amplitude Parameters. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 87
6.4.2 Frequency Content . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 89
6.4.3 Duration ......... ".................................................. 89
6.5 Building Design . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89
6.5.l Equivalent Static Force Procedure ........................................ 90
,6.5.2 Dynamic Analysis ..................................................... 96
6.6 Liquefaction .......................' ......................................... 99
6.6.l Factors Influencing Liquefaction ........................................ 100
6.6.2 Assessment of Liquefaction ......................... '................... 100
6.6.3 Evaluation of Liquefaction Potential ..................................... 101
6.6.4 Liquefaction-Like Soil Behaviour ......................................... 111
6.7 Seismic Design of Retaining Walls ............ '................................. 112
6.7.l Seismic Pressures on Retaining Walls ... , . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 113
6.7.2 Effects of Water on Wall Pressures ....................................... 115
6.7.3 Seismic Displacement ofRetaining Walls . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 115
6 ~ 7 4 Seismic Design Consideration .......................................... 116
6.8 Seismic Stability of Slopes and Dams ........................................... 118
6.8.1 Mechanisms of Seismic Effects ......................................... 118
6.8.2 Evaluation of Seismic Slope Stability. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 119
6.8.3 Evaluation of Seismic Deformations of Slopes .......... '" ................ 120
6.9 Seismic Design of Foundation ................................................. 121
6.9.l Bearing Capacity of Shallow Foundations ................................. 121
6.9.2 Seismic Design of Deep Foundations ..................................... 122
6.9.3 Foundation Provisions ................................................. 122
Foundation Design .'. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 123
7.1 Introduction and Design Objectives ............................................. 123
7.2 Tolerable Risk and Safety Considerations ....................... i................. 123
7.3 Uncertainties in Foundation Design ............................................. 124
7.4 Geotechnical Design Process ................................................. , 124
7.5 Foundation Design Methodology ............................................... 125
7.6 Role of Engineering Judgment and Experience .................................... 128
7.7 Interaction Between Structural and Geotechnical Engineers ... : ...................... 128
7.7.1 Raft Design and Modulus of Sub grade Reaction ............................ 128
Limit States and Limit States Design. . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 132
8.1 Introduction ............................................................... 132
viii Canadian Foundation Engineering Manual
, ,
8.2 What Are Limit States? ...................................................... 133
8.3 Limit States Design (LSD) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 134
8.4 LSD Based on Load and Resistance Factor Design (LRFD) ....................... , ., 136
8.5 Characteristic Value ........................................................ , 138
8.6 Recommended Values for Geotechnical Resistance Factors ........... ; .............. 138
8.7 Terminology and Calculation Examples .......................................... 140
8.7.1 Calculation Examples. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 140
8.8 Working Stress Design and Global Factors of Safety................................ 141
9 Bearing Pressure on Rock ...................................... ,. 143
9.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 143
9.2 Foundations on Sound Rock ................................................... 145
9.3 Estimates of Bearing Pressure ................................................. 147
9.4 Foundations on Weak Rock . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 148
9.5 Special Cases .............................................................. 149
9.6 Differential Settlement ....................................................... 149
10 Bearing Capacity of Shallow Foundations on Soil. . . . . . . . . . . . . . . . . . .. 150
10.1 Introduction .............................................................. 150
10.2 Conventional Bearing Capacity Foundations on Soil. .............................. 150
10.3 Bearing Capacity Directly from In-Situ Testing ................................... 155
10.4 Factored Geotechnical Bearing Resistance at Ultimate Limit States. . . . . . . . . . . . . . . . . .. 157
11 Settlement of Shallow Foundations ............................... 158
11.1 Introduction............................................................... 158
11.2 Comp'onents ofDefiection .................................................... 158
11.2.1 Settlement of Fine-Grained Soils ...................................... , 159
11.2.2 Settlement of Coarse-Grained Soils . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 159
11.3 Three-Dimensional Elastic Displacement Method. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 159
11.3.1 Approximating Soil Response as an Ideal Elastic Material .. . . . . . . . . . . . . . . . .. 159
11.3.2 Drained and Undrained Moduli. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 160
11.3. 3 Three-Dimensional Elastic Strain Integration. . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 160
11.3.4 Elastic Displacement Solutions ......................................... 160
11.4 One-Dimensional Consolidation Method ....................................... , 162
11.4.2 One-Dimensional Settlement: e-Iogcr' Method ............................. 165
11.4.3 Modifications to One-Dimensional Settlement ............................. 166
11.5 Local Yield. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 166
11.6 Estimating Stress Increments. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 166
11.6.1 Point Load ............... .................. . ~ ..................... 166
11.6.2 Uniformly Loaded Strip .............................................. 167
11.6.3 Uniformly Loaded Circle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 168
11.6.4 Uniformly Loaded Rectangle ................ , ......................... 169
11.7 Obtaining Settlement Parameters ........................................ , ..... 170
11.8 Settlement of Coarse-grained Soils Directly from In-Situ Testing. . . . . . . . . . . . . . . . . . . .. 172
11.8.1 Standard Penetration Test (SPT) ....... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 172
11.8.2 Cone Penetration Test (CPT). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 173
11.9 Numerical Methods ......................................................... 175
11.10 Creep. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 175
-,
Table of Contents ix
11.11 Rate of Settlement ............................................................ , 176
11.11.1 One-Dimensional Consolidation ....................................... 176
11.11.2 Three-Dimensional Consolidation ...................................... 177
11.11.3 Numerical Methods. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 178
11.12 Allowable (Tolerable) Settlement. ............................................ 178
12 Drainage and Filter Design. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 181
12.1 Introduction ..... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 181
12.2 Filter Provisions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 181
12.3 Filter Design Criteria ...................................................... : 182
12.4 Drainage Pipes and Traps .................................................... 183
13 Frost Action. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 185
13.1 Introduction ............. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 185
13.2 Ice Segregation in Freezing Soil. .............................................. 185
13.3 Prediction of Frost Heave Rate ................................................ 187
13.4 Frost Penetration Prediction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . .. 190
13.5 Frost Action and Foundations ................................................. 195
13.6 Frost Action during Construction in Winter ..... " ............................... 197
14 Machine Foundations .......................................... 200
14.1 Introduction ........................................................... ··· 200
14.2 Design Objectives ......................................................... 200
14.3 Types of Dynamic Loads .................................................... 200
14.3.1 Dynamic Loads Due to Machine Operation ......................... , ..... 200
14:3.2 Ground Transmitted Loading .......................................... 201
14.4 Types of Foundations ....................................................... 202
14.5 Foundation Impedance Functions ............................................. 202
14.5.1 Impedance Functions of Shallow Foundations ............................. 202
14.5.2 Embedment Effects .................................................. 203
14.5.3 Impedance Functions of a Layer of Limited Thickness ...................... 205
14.5.4 Trial Sizing of Shallow Foundations ..................................... 206
14.6 Deep Foundations .......................................................... 206
14.6.1 Impedance Functions of Piles .......................................... 206
14.6.2 Pile-Soil-Pile Interaction .............................................. 208
14.6.3 Trial Sizing of Piled Foundations ....................................... 208
14.7 Evaluation ofSoi! Parameters ................................................ 209
14.7.1 Shear Modulus ..................................................... 209
.14.7.2 Material Damping Ratio .............................i ................. 209
14.7.3 Poisson's Ratio and Soil Density ....................................... 209
14.8 Response to Harmonic Loading ............................................... 210
14.8.1 Response of Rigid Foundations in One Degree of Freedom................... 210
14.8.2 Coupled Response of Rigid Foundations ................................. 211
14.8.3 Response of Rigid Foundations in Six Degrees of Freedom .................. 212
14.9 Response to Impact Loading ................................................. 212
14.9.1 Design Criteria ..................................................... 212
14.9.2 Response of One Mass Foundation ...................................... 213
14.9.3 Response of Two Mass Foundation ..................................... 213
14.10 Response to Ground-Transmitted Excitation .................................... 213
/
x Canadian Foundation Engineering Manual
15 Foundations on Expansive Soils. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 215
15.1 Introduction .................................................'. . . . . . . . . . . .. 215
15.2 Identification and Characterization of Expansive Soils ............................. 217
15.2.1 Identification of Expansive Soils: Clay Fraction, Mineralogy, Atterberg Limits,
Cation Exchange Capacity .................................................. 218
15.2.2 Environmental Conditions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 222
15.2.3 Laboratory Test Methods ............................................. 222
15.3 Unsaturated Soil Theory and Heave Analyses .................................... 225
15.3.1 Prediction of One-Dimensional Heave ................................... 227
15.3.2 Example of Heave Calculations ........................................ 229
15.3.3 C10sed-Fonn Heave Calculations ....................................... 230
15.4 Design Alternatives, Treatment and Remediation ................................. 231
15.4.1 Basic Types of Foundations on Expansive Soils ............................ 231
15.4.2 Shallow Spread Footings for Heated BUildings ............................ 231
15.4.3 Crawl Spaces Near or Slightly Below Grade on Shallow Foundations .......... 232
15.4.4 Pile and Grade-Beam System .......................................... 232
15.4.5 Stiffened Slabs-on-Grade ............................................. 233 .
15.4.6 Moisture Control and Soil Stabilization .................................. 234
16 Site and Soil Improvement Techniques . . . . . . . . . . . . . . . . . . . . . . . . . . . . 237
16.1 Introduction ........... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 237
16.2 Preloading................................................................ 237
16.2.1 Introduction........................................................ 237
16.2.2 Principle of Pre loading ............................................... 237
16.2.3 Design Considerations ............................................... 238
16.3 Vertical Drains ............................................................ 239
16.3.1 Introduction................ : ....................................... 239
16.3.2 Theoretical Background .............................................. 240
16.3.3 Practical Aspects to Consider in Design .................................. 242
16.4 Dynamic Consolidation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 245
16.4.1 Introduction........................................................ 245
16.4.2 Methodology ....................................................... 245
16.4.3 Ground Response ................................................... 246
16.5 In-Depth Vibro Compaction Processes .......................................... 249
16.5.1 Introduction........................................................ 249
16.5.2 Equipment ......................................................... 249
16.5.3 Vibro Processes ..................................................... 249
16.6 Lime Treatment. ........................................................... 251
16.6.1 The Action of Lime in Soil ............................................ 251
16.6.2 Surface Lime Treatment .......................... ',' .................. 251
16.6.3 Deep Lime Treatment ................................................ 251
16.7 Ground Freezing
, t
........................................................... 252 , )
16.7.1 The Freezing Process ................................................ 252 :
" 1
i
16.7.2 Exploration and Evaluation ofFonnations to be Frozen ..................... 252 . i
16.7.3 References .................................................. '" .... 253
!
i
16.8 Blast Densificatio:Q ......................................................... 253
16.9 Compaction Grouting ....................................................... 254
l6..l0 Chemical Grouting ........................................................ 254
16.11 Preloading by Vacuum ................................................ .... 255
16.12 Electro-Osmotic and Electro-Kinetic Stabilization ............................... 256
Table of Contents xi
17 Deep Foundations - Introduction ................................. 260
17.1 Definition ................................................................ 260
17.2 Design Procedures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 260
17.3 Pile-Type Classification ..................................................... 260
17.4 Limitations ............................................................... 260
18 Geotechnical Design of Deep Foundations .......................... 262
18.1 Introduction .............................................................. 262
18.2 Geotechnical Axial Resistance of Piles in Soil at Ultimate Limit States ................ 262
18.2.1 Single Piles - Static Analysis .......................................... 262
18.2.2 Pile Groups - Static Analysis ... , ................. , .. , ................. 268
18.2.3 Single Piles - Penetrometer Methods .................................... 269
18.2.4 Single Piles - Dynamic Methods ....................................... , 272
18.2.5 Negative Friction and Downdrag on Piles ................................ 273
18.2.6 Uplift Resistance .................................................... 276
18.2.7 Other Considerations ................................................ 277
18.3 Settlement of Piles in Soil ............................ ; ...................... 279
18.3.1 Settlement of Single Piles ............................................. 279
18.3.2 Settlement ofa Pile Group ............................................ 284
18.4 Lateral Capacity of Piles in Soil .............................................. 286
18.4.1 Broms' Method ..................................................... 288
18.4.2 Pressurenieter Method ............................................... 288
18.5 Lateral Pile Deflections ..................................................... 291
18.5.1 The p-y Curves Approach ............................................ 291
18.5.2 Elastic Continuum Theory ............................................ 292
18.6 Geotechnical Axial Capacity ofDeep Foundations on Rock ......................... 295
18.6.1 Introduction........................................................ 295
18.6.2 Drilled Piers or Caissons - Design Assumptions ........................... 295
18.6.3 End-Bearing .... '................................................... 295
18.6.4 Shaft Capacity of Socket. ........................ , ; ................... 297
18.6.5 Design for Combined Toe and Shaft Resistance ......... '................... 298
18.6.6 Other Failure Modes ................................................. 299
18.7 Settlement of Piers Socketed into Rock ......................................... 299
1 8 ~ 7 1 Fundamentals ...................................................... 299
18.7.2 Settlement Estimated from Pressuremeter Testing .......................... 300
18.7.3 Settlement from Plate Test Loading ..................................... 300
18.7.4 Settlement using Elastic Solutions ..............'........................ 300
19 Structural Design and Installation of Piles. . . . . . . . . . . . . . . . . . . . . . . . . . 303
"
19.1 Introduction, .............. , ..... , ..... , ... , .............................. 303
19.1.1 Resistance ofDeep Foundations ....................................... 303
19.1.2 Wave-Equation Analysis .............................................. 304
19.1.3 Dynamic Monitoring ................................................ 305
19.1,4 Dynamic Pile Driving Formulae ....................................... 305
19.2 Wood Piles ............................................................... 305
19.2.1 Use of Wood Piles .................................................. 305
19.2.2 Materials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 306
19.2.3 Structural Design ................................................... 306
19.2.4 Installation ofWood Piles ............................................. 306
xii Canadian Foundation Engineering Manual
19.2.5 Common Installation Problems ......................................... 306
19.3 Precast and Prestressed Concrete Piles .......................................... 306
19.3.1 Use of Precast and Prestressed Concrete Piles ............................. 306
19.3.2 Materials and Fabrication ............................................. 307
19.3.3 Pile Splices ........................................................ 307
19.3.4 Structural Design .................................................... 307
19.3.5 Installation ........................................................ 308
19.3.6 Common Installation Problems ........................................ 309
19.4 Steel H-Piles .............................................................. 309
19.4.1 UseofSteelH-Piles ................................................. 309
19.4.2 Materials ......................................... , ................ 310
19.4.3 Splices ........................................................... 310
19.4.4 Structural Design ................................................... 310
19.4.5 Installation and Common Installation Problems. . . . . . . . . . . . . . . . . . . . . . . . . . . . 310
19.5 Steel Pipe Piles. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 311
19.5J Use of Steel Pipe Piles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 311
19.5.2 Materials .......................................................... 312
19.5.3 Structural Design .................................................... 312
19.5.4 Installation ........................................................ 313
19.5.5 Common Installation Problems ......................................... 314
19.6 Compacted Expanded-Base Concrete Piles ...................................... 314
19.6.1 Use of Compacted Concrete Piles ...................................... 314
19.6.2 Materials .......................................................... 314
19.6.3 Structural Design .................................................... 314
19.6.4 Installation ........................................................ 315
19.6.5 Common Installation Problems ......................................... 315
19.7 Bored Piles (Drilled Shafts) .................................................. 315
19.7.1 Use of Bored Piles (Drilled Shafts) ...................................... 315
19.7.2 Materials. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 316
19.7.3 Structural Design. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 316
19.7.4 Installation......................................................... 316
19.7.5 Common Installation Problems ......................................... 317
20 Load Testing of Piles........................................... 318
20.1 Use of a Load Test ......................................................... 318
20.1.1 Common Pile Load Test Prqcedures ..................................... 318
20.1.2 Load Tests during Design ............................................. 321
20.1.3 Load Test during Construction ......................................... 321
20.1.4 Routine Load Tests for Quality Control (Inspection) ........................ 321
20.2 TestArrangement .......................................................... 322
20.2.1 Static Load Test. .................................................... 322
20.2.2 Statnamic Test ...................................r. • • • • • . • . • . . • • . • • •. 322
20.2.3 Pseudo-Static Load Test ............... .............................. 322
20.3 Static Load Testing Methods ........ : ..............•......................... 323
20.3.1 Methods According to the ASTM Standard ............................... 323
20.3.2 Other Testing Methods ............................................... 324
20.4 Presentation ofTest Results .................................................. 325
Static Load Test Results .............................................. 325
20.4.2 Rapid Load Test Results .............................................. 325
20.5 Interpretation of Test Results ................................................. 325
20.5.1 Interpretation of Static Load Test Results ................................ 325
/
Table of Contents xiii
20.5.2 Interpretation of Rapid Load Test Results ................................. 328
21 Inspection of Deep Foundations .................................. 331
21.1 Introduction .............................................................. 331
21.2 Documents ............................................................... 331
21.3 Location and Alignment ..................................................... 332
21.3.1 Location........................................................... 332
21.3.2 Alignment ......................................................... 332
21.3.3 Curvature.......................................................... 333
21.4 Inspection of Pile Driving Operations .......................................... 335
21.4.1 Introduction........................................................ 335
21.4.2 Driving Equipment .................................................. 335
21.4.3 Piles ............................................................. 336
21.4.4 Driving Procedures .................................................. 336
21.5 Inspection of Compacted Concrete Piles ........................................ 337
21.5.1 Introduction ....................................................... 337
21.5.2 Equipment ........................................................ 337
21.5.3 Installation ........................................................ 337
21.6 Inspection of Bored Deep Foundations ......................................... 338
21.6.1 Preliminary Infonnation .............................................. 338
21.6.2 BoringlDrilling ..................................................... 338
21.6.3 Concreting ........................................................ 338
21.6.4 General ........................................................... 339
·22 Control of Groundwater . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 340
. 22.1 Methods for the Control and Removal of Groundwater ............................ 340
22.2 Gravity Drainage .......................................................... 340
22.3 Pumping From Inside the Excavation .......................................... 340
22.3.1 Pumping From Unsupported Excavations ................................ 341
22.4 Pumping From Outside the Excavation ......................................... 342
23 Geosynthetics................................................ 346
23.1 Introduction .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 346
23.2 Geotexti1es . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 348
23.2.1 Hydraulic Properties of Geotextiles, Geonets and Drainage Geocomposites ..... 350
23.2.2 Filtration and Separation .............................................. 351
23.2.3 Dynamic, Pulsating and Cyclic Flow .................................... 352
23.2.4 In-Plane Drainage ................................................... 353
23.3 Geogrids ................................................i ................. 353
23.4 Strength and Stiffuess Properties ofGeotexti1es and Geogrids ....................... 353
23.5 Geosynthetics in Waste Containment Applications ................................ 354
23.6 Geomembranes .................................. : ....... .' ................. 356
23.6.1 Other Geomembrane Applications ...................................... 358
23.6.2 Selection .......................................................... 358
·23.6.3 Seaming.. , ........................................................ 359·
23.6.4 Installation......................................................... 359
23.7 Geosynthetic Clay Liners .................................................... 359
23.8 Wans .................................................................... 359
23.9 Slopes and Embankments over Stable Foundations ................................ 359
/
xiv Canadian Foundation Engineering Manual
23.9.1 Internal Stability .................................................... 359
23.9.2 External Stability .................................................... 361
23.10 Embankments on Soft Ground ...................... " ........................ 361
23.10.1 Bearing Capacity ........ '" .................................. , ..... 362
23.l0.2 Circular Slip Failure ................................................ 364
23.10.3 Lateral Embankment Spreading ....................................... 365
23.11 Reinforced Embankments on Soft Foundations with Prefabricated Vertical Drains (PVDs) 365
23.12 Embankments on Fibrous Peats .............................................. 365
23.13 Unpaved Roads over Soft Ground ............................................ 367
23.13.1 Reinforcement Mechanisms and Geosynthetic Requirements ................ 367
23.13.2 Design Methods for Unpaved Roads over Cohesive Soils ................... 367
23.13.3 Unpaved Roads over Peat Soils ................................... , . , . 370
23.14 Paved Roads, Container Yards and Railways ......... , , . , ....................... 370
23.14.1 Geotextiles for Partial Separation ..................................... 370
23.14.2 Geosynthetics for Granular Base Reinforcement .......................... 371
23.15 Construction Survivability for Geosynthetics ................................... 372
24 Lateral Earth Pressures & Rigid Retaining Structures ................. 374
24.1 Coefficient of Lateral Earth Pressure, K ......................................... 374
24.2 Earth Pressure at-Rest ...................................................... 374
24.3 Active and Passive Earth Pressure Theories ...................................... 374
24.3.1 Active Earth Pressure ................................................ 375
24.3.2 Passive Earth Pressure ................................................ 377
24.3.3 Graphical Solutions for Determination of Loads due to Earth Pressures .... , .... 380
24.4 Earth Pressure and Effect of Lateral Strain ...................................... 381
24.5 Wall Friction .................................. '.' .......................... 382
24.6 Water Pressure ............................................................ 383
24.7 .Surcharge Loading ...... ',' ................................................ , 383
24.7.1 Uniform Area Loads ................................................. 383
24.7.2 Point or Line Loads .................................................. 384
24.8 Compaction-Induced Pressures ............................................... 385
24.9 Earthquake-Induced Pressures .............................................. " 386
24.10 Frost-Induced Loads ....................................................... 388
24.11 Empirical Pressures for Low Walls ............................................ 388
24.12 Design of Rigid Retaining Walls ............. , ............................... 390
24.12.1 Design Earth Pressures .............................................. 390
24.12.2 Effects of Backfill Extent ............................................ 390
24.12.3 Backfill Types ..................................................... 391
25 Unsupported Excavations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 394
25.1 General .................................................................. 394
25.2 Excavation in Rock ........................................................ 394
25.3 Excavation in Granular Soil ................................ : ................. 394
25.4 Excavation in Clay ......................................................... 395
25.4.1 Behaviour of Clays in Excavated Slopes ................................. 395
25.4.2 Short-Term Stability ................ " ............................... 395
25.4.3 Long-Term Stability ................................................. 396
25.4.4 Construction Measures ............................................... 396
Table of Contents xv
26 Supported Excavations & Flexible Retaining Structures ............... 397
26.1 Introduction .............................................................. 397
26.2 Earth Pressures and Deformation .............................................. 399
26.3 Earth Pressures and Time ... '................................................. 400
26.4 Effects of Seepage and Drainage .............................................. 401
26.5 Surcharge Pressures ........................................................ 401
26.6 Frost Pressures ............................................................ 401
26.7 Swelling/Expansion Pressures ................................................ 401
26.8 Cantilevered (Unbraced) Walls ................................................ 403
26.8.1 Cantilevered Walls Loading Conditions ................................ 403
26.8.2 Cantilevered Walls Determination of Penetration Depth .................... 404
26.8.3 Cantilevered Walls - Determination of Structural Design Bending Moments ..... 404
26.9 Single-Anchor and Single-Raker Retaining Structures ............................. 405
26.9.1 Loading Conditions .................................................. 405
26.9.2 Penetration Depth and Structural Bending Moments ........................ 405
26.10 Multiple-Anchor, Multiple-Raker and Internally Braced (Strutted) Retaining Structures .. 407
26.10.1 Loading Conditions ................................................. 407
26.10.2 Effect ofAnchor Inclination .......................................... 408
26.10.3 Braced Retaining Structures Loading Conditions ........................ 409
26.10.4 Coarse-Grained Soils ............................................... 410
26.10.5 Soft to Firm Clays .................................................. 410
26.10.6 Stiff to Hard Clays ................................................. 410
26.10.7 Layered Strata ..................................................... 410
26.11 Stability of Flexible Retaining Systems. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 411
26.11.1 Excavation Base Stability ............................................ 411
26.11.2 Overall Stability ofAnchored Systems .................................. 412
26.11.3 Overall Stability ofAnchored Systems .................................. 415
26.11.4 Structural Design ofVertical Members .................................. 415
26.12 Horizontal Supports -Anchors, Struts and Rakers ............................... 416
26.12.1 Struts ............................................................. 416
26.12.2 Rakers and Raker Footings ........................................... 418
26.12.3 Buried Anchors .................................................... 419
26.12.4 Soil and Rock Anchors ......................................... " ... 420
26.13 Other Design and Installation Considerations ................................... 428
26.13.1 Installation of Sheeting .............................................. 428
26.13.2 Horizontal Spacing and Installation of Soldier Piles ....................... 428
26.13.3 Installation of Secant or Tangent Pile (Caisson) Walls ...................... 428
26.13.4 Installation of Concrete Diaphragm (Slurry) Walls ........................ 428
26.13.5 Lagging Design and Installation ....................................... 429
26.13.6 Excavation Sequences ............................................... 430
26.13.7 Design Codes and Drawings .................. '" ..... '" ........ " ... 430
26.14 Alternative Design Methods ................................................. 430
26.15 Movements Associated with Excavation ..................... .f • •••••••••••••••• 432
26.15.1 Magnitude and Pattern of Movements .................................. 433
26.15.2 Granular Soils ..................................................... 437
26.15.3 Soft to Firm Clays .................................................. 437
26.15.4 Stiff Clay ......................................................... 437
26.15.5 Hard Clay and Cohesive Glacial Till ................................... 438
26.15.6 Means of Reducing Movements ....... , ............................... 438
26.16 Support for Adjacent Structures .............................................. 438
xvi Canadian Foundation Engineering Manual
27 Reinforced Soil Walls. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 440
27.1 Itroduction ............................................................... 440
27.2 Components .............................................................. 441
27.2.1 Reinforcement. ..................................................... 441
27.2.2 Soil Backfill ........................................................ 442
27.2.3 Facing ............................................................ 443
27.3 Design Considerations: ...................................................... 444
27.3.1 Site Specific Design Input. ............................................ 444
27.3.2 Design Methodology and Approval ..................................... 444
27.3.3 External, Internal, Facing and Global Stability ............................. 445
27.3.4 Wall Deformations .................................................. 448
27.3.5 Seismic Design ..................................................... 448
(
References ........................................................ 450
Index ............................................................ 485
1 Introduction
Introduction
Chapters 2 to 5 of the Canadian Foundation Engineering Manual cover fundamental matters common to all aspects
of foundation engineering, such as notations, definitions of terms and symbols, the classification of soil and rock,
and discussion of special site conditions. During the preparation of this 4th edition of the Manual by members of
the Canadian Geotechnical Society, a companion document has been under development to focus explicitly on site
characterization. Since the Manual is being published before that companion document, Chapter 4 continues to
include details of site characterization and subsurface investigation in soil and rock. It is likely that a future edition
of the Manual will be modified and cross-reference the Characterization Guidelines.
Chapters 6 to 8 contain general discussions offoundation design, dealing with earthquake resistant design in Chapter
6, a more general discussion of foundation design in Chapter 7, and specific treatment of Limit States Design
methodologies in Chapter 8. The evolution of geotechnical engineering practice has not yet come to a point where
the whole Manual can be converted to a limit states (LSD) or load and resistance factor design (LRFD) framework.
Again, this will be left as a major contribution in a subsequent edition of the Manual when the status of foundation
engineering practice has moved more comprehensively towards the adoption of LSD or LRFD design concepts.
Chapters 9 to 11 deal with strength and deformation ofshallow foundations on rock and soil. Chapters 12, 13, 14 and
15 deal with specific considerations associated with drainage, frost action, machine foundations and foundations on
expansive soils, respectively. Chapter 16 contains a discussion oftechniques for ground improvement in association
with foundation design and construction.
Chapters 17 to 21 deal explicitly with the design of deep foundations. Chapter 22 has a brief discussion associated
with control qf groundwater. Chapter 23 contains a comprehensive discussion ofthe design and use ofgeosynthetics
to solve geotechnical engineering problems. Chapters 24 to 27 deal with earth retaining structures, unsupported
excavations, and supported excavations and flexible retaining structures, including reinforced soil walls.
/
2
2.1
Canadian Foundation Engineering Manual
Definitions, Symbols and Units
Definitions
The following is a partial list ofdefinitions ofsome ofthe terms commonly used in foundation design and construction,
which are referred to in this Manual. Other terms are defined or explained where they are introduced in the text. For
additional terms, see Bates and Jackson (1980).
Adfreezing - the adhesion of soil to a foundation unit resulting from the freezing of soil water. (Also referred to as
'frost grip'.)
Basal heave - the upward movement of the soil or rock at the base of an excavation.
Bearing pressure, allowable - in working stress design it is the maximum pressure that may be applied to a soil
or rock by the foundation unit considered in design under expected loading and subsurface conditions towards
achieving desired performance of the foundation system. In limit stress design, allowable bearing pressure
commonly corresponds to serviceability limit states for settlement not exceeding 25 mm towards achieving desired
performance of the foundation.
Bearing or contact pressure - the pressure applied to a soil or rock by a foundation unit.
Bearing pressure for settlement means the bearing pressure beyond which the specified serviceability criteria are
no longer satisfied.
Bearing surface - the contact surface between a foundation unit and the soil or rock upon which it bears.
Capacity or bearing capacity or geotechnical capacity - the maximum or ultimate soil resistance mobilized
by a loaded foundation unit, e.g., a footing, or a pile. (The structural capacity of a foundation unit is the ultimate
resistance of the unit itself as based on the strength of the building materials).
Deep foundation - a foundation unit that provides support for a structure by transferring loads either by toe-bearing
to soil or rock at considerable depth below the structure or by shaft resistance in ~ soil or rock in which it is placed.
Piles and caissons are the most common type of deep foundation.
Downdrag - the transfer of load (dragload) to a deep foundation unit by means of negative skin friction, when soil
settles in relation to the foundation unit.
Dragload - the load transferred to a deep foundation unit by negative skin friction occurring when the soil settles
in relation to the foundation unit.
/
3 Definitions, Symbols and Units
Dynamic method of analysis - the determination of the capacity, impact force, developed driving energy, etc, of a
driven pile, using analysis of measured strain-waves induced by the driving of the pile.
Effective stress analysis - an analysis using effective stress strength parameters and specifically accounting for the
effects of pore water pressure.
Excavation the space created by the removal of sailor rock for the purpose of construction.
Factored geotechnical bearing resistance (of a foundation unit) - the factored resistance of a foundation unit, as
determined by geotechnical formula using unfactored ( characteristic) soil strength parameters to calculate ultimate
capacity (resistance) that is multiplied by an appropriate geotechnical resistance factor, or, the ultimate capacity (as
determined in a field-test loading) multiplied by an appropriate geotechnical resistance factor.
Factored geotechnical bearing resistance means the calculated ultimate (nominal) bearing resistance, obtained
using characteristic ground parameters, multiplied by the recommended geotechnical resistance factor.
Factored Geotechnical Resistance at ULS - the product of the geotechnical resistance factor and the geotechnical
ultimate (nominal) sailor rock resistance.
Factored load - nominal (characteristic) or specified load multiplied by the appropriate load factor.
Factored geotechnical pull out resistance (i.e. against uplift) means the calculated ultimate (nominal) pull out
resistance, obtained using characteristic ground parameters, multiplied by the recommended geotechnical resistance
factor.
resistance (of a foundation unit) the factored geotechnical or structural resistance of the unit.
Factored geotechnical sliding resistance means the calculated ultimate (nominal) sliding resistance, obtained
using characteristic ground parameters, multiplied by the recommended geotechnical resistance factor,
Factor of safety - in working stress design, the ratio of maximum available resistance to the resistance mobilized
under the applied load.
Fill- artificial (man-made) deposits consisting of soil, rock, rubble, industrial waste such as slag, organic material,
or a combination ofthese, which are transported and placed on the natural surface of soil or rock. It mayor may not
be compacted.
Foundation - a system or arrangement ofstructural members through which the loads from a building are transferred
to supporting sailor rock.
Foundation unit - one of the structural members of the foundation of a building such as a footing, raft, or pile.
Frost action - the phenomenon occurring when water in soil is subjected to freezing, which, because of the water-
ice phase change or ice lens growth, results in a total volume increase, andlorthe build-up of expansive forces under
confined conditions, and the subsequent thawing that leads to loss of soil strength and increased compressibility.
Frost-susceptible soil - soil in which significant ice- segregation will occur resulting in frost heave, or heaving
pressures, when requisite moisture and freezing conditions exist.
Geotechnical Reaction at SLS - the reaction of the sailor rock at the deformation associated with a SLS
condition.
/
4 Canadian Foundation Engineering Manual
Geotechnical Resistance at ULS - the geotechnical ultimate resistance of soil or rock corresponding to a failure
mechanism (limit state) predicted from theoretical analysis using unfactored geotechnical parameters obtained from
test or estimated from assessed values.
Grade - the average level of finished ground adjoining a building at all exterior walls.
Groundwater free water in the ground.
Groundwater, artesian - a confined body of water under a pressure that gives a level of hydrostatic pore pressure
(phreatic elevation) higher than the top surface of the soil unit in which the pore water pressure exists. Flowing
artesian corresponds to the condition when the phreatic elevation is higher than the ground surface.
Groundwater level (groundwater table) - the top surface of free water in the ground.
Groundwater, perched - free water in the ground extending to a limited depth.
Hydrostatic pore pressure - a pore water pressure varying as pressure in a non-moving free standing column of
water.
Ice-segregation - the growth of ice in lenses, layers, and veins in soil, commonly, but not always, oriented normal
to the direction of heat loss.
Lateral pressure (load), design - the maximum pressure (load) that may be applied in the horizontal direction to a
soil or rock by a foundation unit.
Load, service - the load actually applied to a foundation unit and which is not greater than the design load.
Load factor - the factor used to modifY (usually increase) the actual load acting on and from a structure, as used in
ultimate limit states design.
Negative shaft resistance - soil resistance acting downward along the side of a deep foundation unit due to an
applied uplift load
Negative skin friction - soil resistance acting downward along the side of a deep foundation unit due to downdrag
Overconsolidation ratio (OCR) - the ratio between the preconso1idation pressure and the current effective
overburden stress.
Peat - a highly organic soil consisting· chiefly of fragmented remains of vegetable matter that is sequentially
deposited.
Pier - a deep foundation unit with a large diameter to length ratio, usually, a large diameter bored pile or caisson
Pile - a slender deep foundation unit, made of materials such as wood, steel, or concrete, or combinations thereof,
which is either premanufactured and placed by driving, jacking, jetting, or screwing, or cast-in-place in a hole
formed by driving, excavating, or boring. (Cast-in-place bored piles are often referred to as caissons in Canada).
Pile head - the upper end of a pile.
Pile toe - a premanufactured separate reinforcement attached to the bottom end (pile toe) of a pile to facilitate
driving, to protect the pile toe, and/or to improve the toe resistance of the pile.
cd
Definitions. Symbols and Units 5
Pile toe· the bottom end of a pile.
Pore pressure ratio the ratio between the pore pressure and the total overburden stress.
Rock· a natural aggregate of minerals that cannot readily be broken by hand.
Rock shoe· a special type of pile shoe.
Rock quality designation (RQD) - a measure of the degree of fractures in rock cores, defined as the ratio of the
accumulated lengths (minimum 100 mm) of sound rock over the total core length.
Safety factor - a factor modifYing ·reducing· overall capacity or strength as used in working stress design. The
safety factor is defined as a ratio of maximum available resistance to mobilized resistance or to applied load.
Safety margin - the margin (dimensional) between mobilized resistance, applied load, or actual value and maximum
available resistance or acceptable value, e.g., the margin between the mobilized shear stress and the shear strength, .
or the margin between calculated settlement and maximum acceptable settlement.
Shaft resistance - the resistance mobilized on the shaft (side) of a deep foundation. Upward acting is called positive
shaft resistance. Downward acting is called negative shaft resistance (See also negative skin friction).
Shallow foundation· a foundation unit that provides support for a building by transferring loads to soil or rock
located close to the lowest part of the building.
Site investigation (characterization)· the appraisal ofthe general subsurface conditions by analysis ofinformation
gained by such methods as geological and geophysical surveys, in-situ testing, sampling, visual inspection, laboratory
testing of samples of the subsurface materials, and groundwater observations and measurements.
Slaking - crumbling and disintegration of earth material when exposed to air and moisture.
Soak-sensitive soil - soil which, when saturated, or near saturated, and subjected to a shearing force, will lose all or
part ofits strength. The dominant grain size fraction in this soil is usually medium and coarse silt. Soak-sensitive soil
is frost-susceptible soil and, if ice-segregation occurs, when thawing it will become very soft and slough easily.
Soil - that portion of the earth's crust which is fragmentary, or such that some individual particles ofa dried sample
can be readily separated by agitation in water; it includes boulders, cobbles, gravel, sand, silt, clay, and organic
matter.
Specifications - project specific requirements indicating applicable codes, standards, and guidelines. Normally,
Performance Specifications stipulate the end-results without detailing how to achieve them, whereas Compliance or
Prescriptive Specifications detail mandatory methods, materials, etc. to use.
Total stress analysis - an analysis using undrained soil parameters and not the influence of pore water
pressure.
2.2 Symbols
Wherever possible, the symbols in the Canadian Foundation Engineering Manual are based on the list that has been
prepared by the Subcommittee on Symbols, Units, and Definitions of the International Society of Soil Mechanics
and Foundation Engineering (ISSMFE, 1977, and Barsvary et aI, 1980).
6 Canadian Foundation Engineering Manual
2.2.1 The International System of Units (51)
In the SI-System, all parameters such as length, volume, mass, force, etc. to be inserted in a formula are assumed to
be inserted with the value given in the base unit. It is incorrect to use formulae requiring insertion of parameters in
other dimensions than the base units, because this would require the user to memorize not just the parameter, but also
its "preferred" dimension, which could vary from reference to reference. For instance, in the well-known Newton's
law, F rna, force is to be inserted in N, mass in kg, and acceleration in mls
2
• Thus, a force given as 57 MN must
be inserted as the value 57 x 10
6
, In other words, the multiples are always considered as an abbreviation ofnumbers.
This is a clear improvement over the old system, where every formula had to define whether the parameter was to be
input as lb, tons, kips, etc. Therefore, unless specifically indicated to the contrary, all formulae given in the Manual
assume the use of parameters given in base SI-units.
The term mass in the SI-System is used to specifY the quantity of matter contained in material objects and is
independent of their location in the universe [Unit =kilogram (kg); the unit Mg to indicate 1000 kg should not be
used, as gramme (g) is not a base unit; nor should the unit tonne be used].
The term weight is a measure of the gravitational force acting on a material object at a specified location, [unit =
newton O\l"); standard gravity at sea level = 9.81 mls
2
, In practical foundation engineering applications, the gravity
constant is often taken as equal to 10 mls2].
The term ~ n t weight in the SI System is the gravitational force per unit volume [Unit N/m
3
].
The term density refers to mass per unit volume [Unit kg/m3].
Stress and pressure are expressed as the force per unit area (N/m2= Pa). The unit kilopascal (kPa) is commonly used
il2- Canadian practice.
A prime denotes effective stress (e.g., cr')
A bar above a symbol denotes an average property (e.g., u)
A dot above a symbol denotes a derivative with respect to time, also referred to as rate (e.g., !:i).
For symbols indicating force, an upper case letter is used for total force, or force per width or linear length, and a
lower case letter is used for force per unit area, i.e., pressure, stress, shear resistance.
Normally, when the abbreviating symbols are not used, the units Newton, metre, kilogram, and second are spelled
without plural endings (e.g., 50 kiloNewton, 200 metre, etc.)
Table 2.1 contains a list ofterms, symbols, SI units, and recommended multiples for Canadian practice. The numeral
I in the unit column denotes a dimensionless quantity.
For a complete table, see Barsvary et al. (1980).
/
sC
-------------
7 Definitions, Symbols and Units
TABLE 2.1 List ofTerms, Symbols, S.I. Units, and Recommended Multiples
m (km, mm, ).lm)
m (km, mm, ).lm)
m (km, mm, ).lm)
m (km, mm, ).lm)
m (km, mm, ).lm)
m (km, mm, ).lm)
m (km, mm, ).lm)
m (km, mm, ).lm)
degrees
m
2
(km
2
, ha, cm
2
, mm
2
)
m
3
(cm
3
, mm
3
)
s
mJs
mJs
2
mJs
2
kg
kg/m3
kN/m
3
Pa, N/m
2
(MPa, kPa)
Pa, N/m
2
(MPa, kPa)
N (MN, kN)
degree Celsius eC)
J, Nm (kJ, kNm)
Nm (MNm, kNm)
Unit and Recommended
Multiples
kg/m
3
kN/m
3
kg/m3
kN/m
3
kg/m3
kN/m
3
Length
Breadth, width
Thickness
Height
Depth
Diameter
Planar coordinates
Polar coordinates
Area
Volume
Time
Velocity
Acceleration
Gravity acceleration
Mass
Density
Unit weight
Pressure, stress
Shear stress
Force, load
Temperature
Energy, work
Moment of Force, torque
Safety factor
3.14
2.718 (base of natural logarithm.)
Naturallogarithm
Logarithm base 10
II - Physical Properties
T
erm
Density and Unit Weights
Density
Unit weight
Density of solid particles
Unit weight of solid particles
Density of Water
Unit weight of water
L, I
B,b
H, h
H,h
D,z
D
x,y
r
e
A
V
t
v
a
g
m
P
1
(j
"C
Q
T
E,W
M,T
F
1t
e
In
log
S b I
ym 0
P
1
P
s
1s
P
w
1w
8 Canadian Foundation Engineering Manual
II
Term
Dry density
Dry unit weight
Saturated density
Saturated unit weight
Void ratio
Porosity
Water content
Degree of saturation
Relative density{formerly specific gravity)
Consistency
Liquid limit
Plastic limit
Shrinkage limit
Plasticity index
Liquidity index
Consistency index
Void ratio in loosest state
Void ratio in densest state
Density index (formerly relative density)
Grain Size
Cirain diameter
n percent diameter
Uniformity
Curvature coefficient
Hydraulic Properties
Hydraulic head or potential
Rate offiow
Flow velocity
Hydraulic gradient
hydraulic conductivity (permeability)
Seepage force per UJ;lit volume
- Physical Properties
S b I
ym 0
P
d
Y
d
P sat
Ysat
e
n
w
Sr
D
r
"w
L
wp
w
s
Ip
IL
Ie
e
max
e
min
In
D
Dn
C
u
C
c
h
q
v
k
j
III - Mechanical Properties
T 5 b I
e ym 0
In-Situ Tests
Cone tip-resistance
Local side-shear
Standard penetration test (SPT) index
Dynamic cone penetrometer blow count
Pressuremeter limit pressure
Pressuremeter modulus
Unit and Recommended
Multiples
kg/m
3
kN/m
3
kg/m3
kN/m
3
m(mm, f!m)
m(mm, f!m)
m(mm)
m
3
/s
mls
mls
N/m
3
(kN/m
3
)
Unit and Recommended
Multiples,
Pa (kPa)
Pa (kPa)
blows/O.3 m
blows/O.3 m
Pa (kPa)
Pa (kPa)
" ___"'d
--------------------
9 Definitions, Symbols and Units
III - Mechanical Properties
Term -----,
Strength
Effective cohesion intercept
Apparent cohesion intercept
Effective angle of internal friction
Undrained shear strength
Residual shear strength
Remoulded shear strength
Sensitivity
Uniaxial compressive strength
Tensile strength
Point load settlement index
Consolidation (One-Dimensional)
Coefficient of volume change
Compression index
Recompression il}dex
Coefficient of secondary consolidation
Modulus number
Recompression modulus number
S:velling index
Permeability change index
Coefficient of consolidation (vertical)
Coefficient of consolidation (horizontal)
Time factor; vertical drainage
Time factor; horizontal drainage
Degree of consolidation
Preconso 1 idation Pressure
T
erm
Pore pressure
Pore-water pressure
Pore-air pressure
Total normal stress
Effective normal stress
Shear stress
Principal stresses (major, intermediate and minor)
Average stress or octahedral normal stress
Octahedral shear stress
Linear strain
Volumetric strain
/
I UUI
c'
c
su' C
u
SR
s
r
St
0'
c
at
I
s
m
v
C
c
C
cr
C
fI.
m
m
r
C
s
C
k
c
v
c
h
T
v
Th
U
0"
p
IV - Stress and Strain
S
ym
I
b I
0
u
0"
0' l' 0'2' 0'3
a
Oel
't
oet
e
Multiples
Pa (MPa, kPa)
Pa (MPa, kPa)
degrees
Pa (MPa, kPa)
Pa (MPa, kPa)
Pa (kPa)
Pa (MPa, kPa)
Pa (MPa, kPa)
Pa-
I
(kPa-
l
)
m
2
/s (cm2/s)
m
2
/s (cm2/s)
Pa(kPa)
Unit and Recommended
M It" I
u .pes
Pa (kPa)
Pa (kPa)
Pa (kPa)
Pa (MPa, kPa)
Pa (MPa, kPa)
Pa (MPa, kPa)
Pa kPa)
Pa (MPa, kPa)
Pa (MPa, kPa)
,
,
,
!
.?
-------
10 Canadian Foundation Engineering Manual
IV . Stress and Strain
~
~
b I
S
Term ym 0
y
Shear strain
Principal strains (major, intermediate, and minor)
£1' £2' 1::3
v Poisson's ratio
E Modulus of linear deformation
(5
Elastic axial deformation
11 Displacement
G Modulus of shear deformation
K Modulus of compressibility
M Tangent modulus
t
M Secant modulus
s
m Modulus number
Stress exponent
J
Coefficient of Friction
/l
Coefficient of viscosity
11
V - Design Parameters
E'arth Pressure
T
erm
S b I
ym 0
Earth pressure thrust, total: active and passive
Pa' Pp
Earth pressure, unit: active and passive
Pa' Pp
Angle of wall friction
g
Coefficient of active and passive earth pressure
Ka,Kp
Coefficient of earth pressure at rest K
0
Coefficient of earth pressure acting against a pile shaft K
s
Foundations
Breadth of foundations B
Length of foundation L
Depth of foundation beneath ground D
Total length of a pile L
Embedment length of a pile
D
Diameter of a pile B, b
Applied load
Q
Applied vertical load
Q
v
Applied horizontal load
Q
h
Applied (axial) pressure
q
Settlement s, S
Eccentricity of load e
Inclination of load
Modulus of subgrade reaction
ks
Bearing capacity coefficients
N
c
' N
q
, Ny, Nt
Unit and Recommended
Multjples
Pa (GPa, MPa, kPa)
m (mm, /lm)
m(mm, /lm)
Pa (GPa, MPa, kPa)
Pa (GPa, MPa, kPa)
Pa (GPa, MPa, kPa)
Pa (GPa, MPa, kPa)
Ns/m
2
(kNs/m2)
Unit and Recommended
Multiples
N (kN, MN)
Pa (kPa, MPa)
degrees
m
m
m
m
m
m(mm)
N(MN,kN)
N (MN,kN)
N (MN,kN)
Pa (MPa, kPa)
m(rnm)
m(mm)
degrees
N/m
3
(kN/m
3
)
<.
/
«
r
Definitions, Symbols and Units 11
v -Design Parameters
T
erm
S b I
ym 0
Unit and Recommended
M It" I
U Ipes
Slopes
Vertical height of slope H m
Depth below toe of earth slope to hard stratum D m
Angle of slope to horizontal
degrees
Dip of planar rock joint
qJ degrees
Depth to water table z
IV
m
Pore-pressure ratio r
u
Compaction
Maximum dry density
P
dmax
kg/mJ
Maximum wet density
P
max
kg/m3
Optimum dry density
POP!
kg/m
3
Water content at optimum dry density w
opt
12 Canadian FoundationEngineeringManual
Greek Letter Notations
Alpha A a secondary(subscript)
Beta B angleofslopetohorizontal
Gamma r y shearstrainunitweight
Delta 11 0 angleofwallfriction
Displacement deflection
elasticaxialdeformation
inclinationtovertical
Epsilon E B strain
Zeta Z
~
Eta H viscositycoefficient
11
Theta e e
Iota I 1
Kappa K 1C
Lambda A A.
Mu M
!-L
frictioncoefficient
Nu N v Poisson'sratio
Xi ,::.
~
Omicron 0 0
Pi IT 1t 3.14
Ro P p density
Sigma 2: (J pressure,stress
Summationsign
Tau T 1: Shearstress,strength
Ypsilon Y u
Phi <D
~
angleofinternalfriction
Chi X
X
Psi
\}I
\If
Planarjointdip
Omega n Q)
(
'-
1
Identification and Classification of Soil and Rock 13
Identification and Classification of Soil and Rock
3. Identification and Classification of Soil and Rock
3.1 Classification of Soils
3.1.1 I ntrod u ction
Soil is that portion of the earth's crust that is fragmentary, or such that some individual particles of a dried sample
may be readily separated by agitation in water; it includes boulders, cobbles, gravel, sand, silt, clay, and organic
matter. There are three major groups of soils:
Coarse-grained soils - containing particles that are large enough to be visible to the naked eye. They include
gravels and sands and are often referred to as cohesionless or non-cohesive soils.
Fine-grained soils - containing particles that are not visible to the naked eye. They are identified primarily on the
basis of their behaviour in a number of simple indicator tests. They include silts and clays. Clays are often referred
to as cohesive soils.
Strictly defined, coarse-grained soils are soils havmg more than 50% ofthe dry weight larger than particle size 0.075
mm (see Subsection 3.1.3.1), and fine-grained soils are soils having more than 50% of the dry weight smaller than
particle size 0.075 mm.
Organic soils - containing a high natural organic content.
3.1.2 Field Identification Procedures
The following procedures and tests may be carried out in the field to identify and describe soils.
3.1.2.1 Coarse-Grained Soils or Fractions
Coarse-grained soils are easily identified in the field because the individual particles large enough to be visible to
the naked eye. The smallest particles that may be distinguished individually are approximately 0.1 mm in diameter
(approximately the size of the openings of the No. 200 sieve (0.075 mm) used in the laboratory identification test).
Coarse-grained soils and silts are identified on the basis of grain size diameter as follows:
Silt - particles of size 0.002 - 0.060 mm
Sand - particles of size 0.06 -2.0 rom
Gravel - particles of size 2 - 60 mm
Cobbles - particle's of size 60 - 200 mm
Boulders - particles >200mm
14 Canadian Foundation Engineering Manual
Thesilt, sand,andgravelfractions arefurtherdividedintofine,medium,andcoarseproportions,asfollows:
Silt: Fine 0.002- 0.006mm
Medium 0.006- 0.020mm
Coarse 0.020- 0.060mm
Sand: Fine 0.06- 0.20mm
Medium 0.20- 0.60mm
Coarse 0.60- 2.00mm
Gravel: Fine 2.0- 6.0mm
Medium 6.0- 20.0mm
Coarse 20.0- 60.0mm
Otherphysical properties ofsoils that may influence engineeringcharacteristics should also be identified. They
are:
• Gradingdescribesparticlesizedistribution.Asoilthathasapredominanceofparticlesofonesizeis'poorly
graded',whereassoilthathasparticlesofawiderangeofsizeswithnodominatingsizeis 'wellgraded'.
• Shapeandsurfaceconditionsof grains:particlesmaybeplaty,elongated,orequidimensional,andtheymay
beangUlar,sub-angular,sub-rounded,orrounded.
• A qualitative term describing the compactness condition ofa cohesionless soil is often interpreted from
theresultsofaStandardPenetrationTest(SPT). Thistestisdescribedinmore detailinSubsection4.5.2.
Compactness and penetration values are often related according to Table 3.1, which was proposed by
TerzaghiandPeck(1967). Noticethattheterm"compactnesscondition"replacestheearlierterm"relative
density"usedinthepast.
TABLE 3.1 Compactness Condition ofSands from Standard Penetration Tests
Compactness
Condition
Veryloose
Loose
Compact
Dense
Verydense
SPT N-INDEX
(blows per 0.3 m)
0 4
4 10
10 30
30-50
Over50
Other relationships between the SPT N-index and the compactness condition attempt to take into account the
magnitude ofthe overburden pressure at the sampling depthto be taken into consideration. Three sets ofsuch
correlations are now available: themost commonlyused setwasproposedbyGibbs andHoltz(1957), but ithas
beenmodifiedbySchultzeandMelzer(1965). '
Tobeofpracticalvalue,thesplit-spoonsamplingmethodofindirectlydeterminingthecompactnessofcohesionless
soilmustsatisfythreeconditions:
1. the SPTN-indexmustbeindependentof theoperatorandtheboringmethod;
2. the correlation between the SPT N-index and the compactness condition must be accurate to within
acceptablelimits;and
/
p
rl'
Identification and Classification of Soil and Rock 15
3. the same correlation between the SPT N-index and the compactness condition must'be used by all.
N one of these conditions is fully satisfied. It must be recognized, therefore, that the SPT is a very subjective test,
and different operators can report substantially different N-values without the differences necessarily corresponding
to actual variables in soil condition. A recent improvement in the testing method has been the adoption by some
countries of a free-failing trip-hammer.
3.1.2.1 Fine-Grained Soils or Fractions
These procedures are to be performed on the soil fraction passing sieve No. 40, the openings ofwhich are about 0.4
mrn in diameter. For field classification purposes screening is riot required because the coarse particles that interfere
with the tests are simply removed by hand.
3.1.2.2(1) Dilatancy (reaction to shaking)
After removing particles larger than No. 40 sieve size, prepare a pat of moist soil with a volume of about 10 cm. If
necessary, add enough water to make the soil soft but not sticky. Then, place the pat in the open palm of one hand
and shake horizontally, striking vigorously against the other hand several times. A positive reaction consists of the
appearance ofwater on the surface of the pat, which changes to a livery consistency and becomes glossy. When the
sample is squeezed between the fingers, the water and gloss disappear from the surface, the pat stiffens, and finally
cracks or crumbles. The rapidity of appearance of water during shaking and of its disappearance during squeezing
assist in identifying the character of the fines in a soil. Very fine, clean sands give the quickest and most distinct
reaction, whereas a plastic clay has no reaction. Inorganic silts, such as a typical rock flour, show a moderately quick
reaction.
3.1,.2.2(2) Dry Strength (crushing characteristics)
After removing particles larger than No. 40 sieve size, mould a pat of soil to the consistency ofputty, adding water
if necessary. Allow the pat to dry completely by oven, sun, or air drying, and then test its strength by breaking
and crumbling between the fingers. This strength Is a measure of the character and quantity of the clay fraction
contained in the soil. The dry strength increases with increasing plasticity:
High dry strength is characteristic for inorganic clays of high plasticity. Typical inorganic silt possesses only very
slight dry strength. Silty fine sands and silts have about the same slight dry strength, but can be distinguished by the
feel when powdering the dried specimens. Fine sand feels gritty, whereas typical silt has the smooth feel offlour.
3.1.2.2(3) Toughness (conSistency near plastic limit)
After removing particles larger than the No. 40 sieve size, a specimen of soil about 10 cm in volume is molded to the
consistency ofputty. Iftoo dry, water must be added and, if sticky, the specimen should be spread out in a thin layer
and allowed to lose some moisture by evaporation. Then the specimen is rolled out by hand on a smooth surface or
between the palms into a thread about 3 mm in diameter. The thread is then folded and rolled repeatedly. During
the manipulation, the moisture content is gradually reduced and the specimen stiffens, until it is no longer malleable
and crumbles. This indicates that the plastic limit has been reached. After the thread has crumbled, the pieces should
be lumped together and a slight kneading action continued until the lump crumbles. The tougher the thread near the
plastic limit and the stiffer the lump when it finally crumbles, the more active is the colloidal clay fraction in the soil.
Weakness of the thread at the plastic limit and quick loss of coherence of the lump below the plastic limit indicate
either inorganic clay oflow plasticity, or materials such as kaolin-type clays and organic clays (which occur below
the A-line in the plasticity chart; see Figure 3.1.
:;.',: :
16 Canadian Foundation Engineering Manual
70
60
50
_0-
x
w
40
Q
~
~
(.)
30
t5
...J
'" 0..
20
10
r-
w 50
L
WL =30
INORGANIC
CLAYS OF
MEDIUM
PLASTICITY
INORGANIC
CLAYS OF INORGANIC SILTS OF
INORGANIC CLAYS
OF HIGH PLASTICITY
LOW PLASTICITY \
HIGH COMPRESSIBIUTY
AND ORGANIC CLAYS
50 60 70 80 90 100
LIQUID LIMIT. W L
INORGANIC SILTS INORGANIC SILTS OF
OF LOW MEDIUM COMPRESSIBILITY
COMPRESSmlLITY AND ORGANIC SILTS
FIGURE 3.1 The plasticity chart (after Casagrande, 1948)
Highly organic clays have a weak and spongy feel at the plastic limit. Other physical properties of fine-grained
soils, which may influence their engineering characteristics, should also be identified. Typical such properties are
as fQ1lows:
3.1.2.2(4) Consistency of Cohesive Soil at Natural Water Content
TABLE 3.2 Approximate Consistency ofCohesive Soils
Consistency
Very soft
Soft
Firm
Stiff
Very stiff
Hard
Field Identification
Easily penetrated several centimeters by the fist
Easily penetrated several centimeters by the thumb
Can be penetrated several centimeters by the thumb with moderate effort
Readily indented by the thumb but penetrated only with great effort
Readily indented by the thumb nail
Indented with difficulty by the thumbnail
The consistency notations given qualitatively in Table 3.2 are similar to those defined by values of shear strength
in Table 3.3, below. However, the field identification methods in Table 3.2 are not suitable for the quantitative
determinations of soil strength.
3.1.2.2(5) Discontinuities
Discontinuities of the undisturbed soil should be identified, such as bedding, the presence ofjoints, cracks, fissures,
or slickensides, and evidence of weathering or cementation, and thickness, orientation, and distortion.
- .... - - - - - - - - - - - ' { - . ~ - - - - - - - - - - - - ~ ~ - - - - - - - - ~ - - - - ~ . ~ ~ ~ ~ - - ~ ~ - - - - - - , . . ~ - - ~ -
Identification and Classification of Soil and Rock 17
3.1.2.2(6) Colour
Colour may be described by the Munsell system (Goddard, 1979).
3.1.2.2(7) Odour
Odour, if any, can provide evidence of the presence of organic material.
3.1.2.2 Organic Soils
These are readily identified by colour, odour, spongy feel and frequently by fibrous texture.
3.1.3 Laboratory Identification Tests
3.1.3.1 Grain-Size Tests
In the laboratory, grain-size tests are carried out according to a test method, which includes procedures for analysis
of coarse-grained soils (i.e., fractions larger than 0.075 rom) by sieving, and the analysis offine-grained soils by the
hydrometer test (ASTM D422).
The results ofthe grain size test are used to classify the soil beyond the rough separation into fine grained and coarse
grained. The classification is based on amounts by weight within the respective grain-size fractions, as follows:
noun gravel, sand, silt, clay > 35 % and main fraction
"and" and gravel, and silt, etc. >35 %
adjective gravelly, sandy, silty, clayey, etc. 20 %-35 %
"some" some sand, some silt, etc. 10%-20%
"trace" trace sand, trace silt, etc. 1 % -10 %
A soil with 30 % clay, 45 % silt, 18 % sand, and 7 % gravel would thus be named "clayey silt, some sand, trace
gravel." However, the clay fraction in such a soil forms the dominant matrix, and a soil of this composition will
behave geotechnically much like a clay soil. Some classification systems base the description on the plasticity chart.
For example, if the Ip and w
L
for the soil were to plot above the A-Line, the description would be silty clay, some
sand trace gravel.
3.1.3.2 Atterberg Limits
The range of water content, called plasticity index, Ip wL - W p' over which a fine-grained soil is plastic, is an
important indicator of its probable engineering behaviour. The Atterberg limits, w p =plastic limit and w L =liquid
limit, defining these water contents are determined in accordance with the standard ASTM methods (ASTM D423
'and ASTM D424, respectively). The liquid limit can also be determined by the Swedish fall-cone test (Garneau and
Lebihan, 1977). The preparation of soil samples for these tests should be determined according to Procedure B of
the ASTM Standard Method for "Wet Preparation of Soil Samples for Grain-Size Analysis and Determination of
Soil Constants" (ASTM D2217).,
The liquid limit, w L' is used to classify clays and silts as to degree of plasticity, as follows:
Low degree ofplasticity w
L
<30
Medium degree of plasticity 30 <w <50
L
High degree of plasticity 50 <w
L
In the plasticity diagram, Figure 3.1, the liquid limit is combined with the plasticity index. Experience has shown
that soils with similar origin and properties plot in specific areas in the diagram, which makes the diagram a very
useful tool for identifying and classifying fine-grained soils.
18 Canadian Foundation Engineering Manual
3.1.3.3 Classification by Undrained Strength
Fine-grained soils can be classified in broad terms in relation to undrained strength going from very soft to hard
consistency (see Table 3.3). Originally, the table was based on results from unconfined compression tests. Today,
however, field and laboratory vane tests, laboratory fall-cone tests, shear-box tests, unconfined compression and
triaxial and other test methods may be used. This implies, of course, that the classification is somewhat
arbitrary, as different tests do not give the same values of strength. It also implies that when the consistency values
are given, the testing method should be identified.
Commonly, the consistency and undrained shear strength of clay soils is correlated to the SPT N-Index values as
shown in Table 3.3 (Terzaghi and Peck 1967). It is noted that this correlation needs to be used with caution as the
correlation is only very approximate.
TABLE 3.3 Consistency and Undrained Shear Strength ofCohesive Soils
Consistency
Very soft
Soft
Firm
Stiff
Very stiff
Hard
Undrained Shear Strength
(kPa)
< 12
12 - 25
25-50
50 - 100
100 - 200
>200
Spt N-Index
(blowslO.3m)
<2
2 4
4-8
8 - 15
15 - 30
>30
3.1.3.4 Classification by Sensitivity
Sensitivity is . an important characteristic' of fine-grained soils. It is defined as the ratio of intact to remoulded
undrained shear strength, and is measured in the laboratory by means ofthe Swedish fall-cone test or in the field by
means of the vane test.
Classes of sensitivity may be defined as follows:
low sensitivity S < 10
t
medium sensitivity 10 < St <40
high sensitivity 40 <St
3.1.3.5 Density Index 10
The density index, ID, of cohesionless soils is defined as
or
1 1
ID '" Pdmax X Pd - P4m1n
Pd Pdmax - Pdmm
Pdmln Pdmax
---
Identification and Classification of Soil and Rock 19
The reference densities (P
d
min and P
d
max) or the void ratios (e
max
and e
min
), corresponding to the loosest and the
densestconditionofthematerialunderconsideration, arenot definedinthestrictsenseofthewordbecause they
areessentiallyrelatedtothemethodusedformeasuringthem. Intoday'spractice,alargenumberof methodsarein
use,buttheASTMD4253 andD4254StandardMethodaregenerallypreferred.
The in-situ dry density, P (or voidratio, e,) ofthe soil can be measured directly by the "sandcone" or 'rubber
d
balloon"methodsatshallowdepth.Atbothshallowanddeepdepths,the"nuclearmethod"maybeused.Inaddition,
bymeansof anappropriatesamplingmethod,anundisturbedsampleofthecohesionlessmaterialmightberetrieved
fordirectmeasurementofits density.
A sampleofthe soilis usedtodetermine inthe laboratorythe minimumandmaximumdensities bymeans ofan
appropriate testing method, preferably the ASTMD2049 Standard. From these values, the density index canbe
calculated. Tobeof practicalvalueindesign,themeasurementof allinputdensitiesmustbe:
• independentofthetestingmethod;
independentof theoperator;and
of asuitableaccuracy.
Recent investigations have shown that these conditions are not fully satisfied. The density index is therefore to
be regarded as very approximate, to be used only in conjunctionwith experience andconsiderable engineering
judgment(Tiedemann,1973,Tavenasetat,1973;andTavenas,1973).Noticethattheterm"densityindex"replaces
theearlierterm"relativedensity."
3.1.3.6 References
TheclassificationofsoilsinCanadafollowsthestandardproposedbytheInternationalSocietyforSoilMechanics
and'FoundationEngineering. This standard is similarin manyrespects to theUnified Soil Classification System
(USCS) usedintheUnitedStates(Casagrande, 1948). Sometimesusedin Canadais the systemoftheAmerican
Association ofState Highway and Transportation Officials (AASHTO), which differs inthe definitions ofsoil
classesfrom the uses.A comprehensivecompilationofdifferent classificationsystemswaspublishedbyHoltz
andKovacs(1981).
Standards for the testing and laboratory,classification ofsoils in Canada follow closely the standards ofthe
AmericanSocietyforTestingandMaterials(ASTM).Standards ofparticularimportancefortheidentificationand
classificationofsoilandrockarefound intheAnnualBookofASTMStandards,Section4,Construction,Volume
04.08SoilandRock;BuildingStones.
3.2 Classification of Rocks
3.2.1 Introduction
Rockisanaturalaggregateof mineralsthatcannotbereadilybrokenbyhandandthatwillnotdisintegrateonafirst
wettinganddryingcycle.Arockmasscomprisesblocksofintactrockthatareseparf,l.tedbydiscontinuitiessuchas
cleavage,beddingplanes,joints,shearsandfaults.Thesenaturallyformedsurfacescreateweaknesszoneswithinthe
rockmass,therebyreducingthematerialstrength.Eventhestrongestrockmaycontainpotentiallyunstableblocks
formedbysetsofdiscontinuitiesorpossiblyevenbyasinglediscontinuity(Wyllie, 1992).It isusual,therefore, to
investigatethestructuralgeology ofasitethoroughly,andto distinguishbetweenthepropertiesoftheintactrock
andthepropertiesof themuchlargerrockmass,whichincludestheeffectsof therockdiscontinuities.
Theinfluenceof thediscontinuitiesuponthe materialstrengthdependsuponthescaleofthefoundationrelativeto
thepositionandfrequencyofthediscontinuities..
In thefollowingtext,referenceismadetothestandardsforrocktestingdevelopedandpublishedbytheInternational
20 Canadian Foundation Engineering Manual
Society for Rock Mechanics (ISRM).
3.2.2 Geological Classification
Rock is classified with respect to its geological origin or lithology as follows:
Igneous rocks, such as granite, diorite and basalt, which are formed by the solidification of molten material,
either by intrusion of magma at depth in the earth's crnst, or by extrusion oflava at the earth's surface;
• Sedimentary rocks, such as sandstone, limestone and shale, which are formed by lithification of sedimentary
soils; and
Metamorphic rocks, such as quartzite, schist and gneiss, which were originally igneous, metamorphic or
sedimentary rocks, and which have been altered physically and sometimes chemically or mineralogically,
by the application of intense heat and/or pressure at some time in their geological history.
3.2.3 Structural Features of Rockmasses
Geological structures generally have a significant influence on rockmass properties, increasing the rockmass
deformability and reducing the rockmass strength, as compared to the deformability and strength of intact rock.
In some cases, discontinuities provide planes of weakness along which slip or excessive deformation can occur,
leading to structurally controlled failure of the mass. Some important definitions follow:
Rockmass
An aggregate ofblocks ofsolid rock material containing structural features that constitute mechanical discontinuities.
Any in-situ rock with all of its inherent geomechanical discontinuities.
Rock material or intact rock
The consolidated aggregate of mineral particles forming solid material between structural discontinuities. The
pieces may range from a few millimeters to several meters in size.
Structural discontinuities
All geological features that separate solid blocks of the rockmass, such as joints, faults, bedding planes, foliation
planes, cleavage planes, shear zones and solution cavities. These features are weaker than the intact rock, thereby
reducing the strength of the rockmass and increasing its deformability. A list of the different types of rockmass
discontinuities and their characteristics is given in Table 3.4.
Major discontinuity or Major structure
A structural discontinuity .that is sufficiently well developed and continuous such that shear failure along it will not
involve shearing of ~ intact rock.
3.2.4 Engineering Properties of Rock Masses
The quality of a rockmass for foundation purposes depends mainly on the strength of the Intact rock material
and on the spacing, persistence, aperture, roughness, filling, weathering and orittntation of the discontinuities, The
presence of groundwater within the discontinuities may also alter the strength of the rockmass. The influence of
discontinuities on rockmass characteristics and strength is further discussed by Hoek, Kaiser and Bawden (1995).
Engineering properties ofrockmasses can be determined from methods for estimating joint strength, for estimating
rockmass strength and deformability or from rockmass classification systems.
3.2.4.1 Strength of Intact Rock
Strength is the maximum stress level that can be carried by a specimen. Rocks can be classified on the basis of their
intact strength using values ranging from extremely weak to extremely strong as defined by the approximate field
strength criteria set out in Table 3.5. The strength.grades are related to Uniaxial Compressive Strength, O"d' and to
Identification and Classification of Soil and Rock 21
the Point Load Strength Index. Uniaxial Compressive Strength is determined from tests on'prepared cylindrical
samples of intact rock as per the ISRM Standard (1979). Alternatively, strength can be determined from pieces of
core or from irregularly shaped, unprepared samples of rock, using the Point Load test as per the ISRM Standard
(1985). Additional strength testing on core can be by triaxial tests (ISRM, 1978; ASTM D2664-86) or by tensile
strength tests (Brazilian Test, ISRM 1978; Direct Tension Test, ISRM 1978; ASTM D2936-84).
TABLE 3.4 Rockmass Discontinuity Descriptions (after Hunt, 1986)
Disconti nuity Definition Characteristics
Fracture
Joint
A separation in the rockmass, a break.
A fracture along which there has been no
observable relative movement.
Signifies joints, faults, slickensides, foliations
and cleavage.
Most common defect encountered. Present in
most formations in some geometric pattern
related to rock type and stress field.
Open joints allow free movement of water,
increasing decomposition rate of mass.
Tight joints resist weathering and the mass
decomposes uniformly.
Faults
A fracture along which there has been an
observable amount of displacement.
Fault zones usually consist of crushed and
sheared rock through which water can move
relatively freely, increasing weathering.
Faults generally occur as parallel to sub-parallel
sets of fractures along which movement has
taken place to a greater or lesser degree.
Slickensides
Foliation planes
Cleavage
Pre-existing failure surface: from faulting,
landslides, expansion.
Continuous foliation surface results from
orientation of mineral grains during
metamorphism.
Stress fractures from folding.
Shiny, polished surfaces with striations. Often
the weakest elements in a mass, since strength is
often near residual.
Can be present as open joints or merely
orientations without openings. Strength and
deformation relate to the orientation of applied
stress to the foliations.
Found primarily in shales and slates; usually
very closely spaced. '
Bedding planes Contacts between sedimentary rocks.
Often are zones containing weak materials such
as lignite or montmorillonite clays.
Mylonite
Cavities
Intensely sheared zone.
Openings in soluble rocks resulting from
groundwater movement, or in igneous rocks
from gas pockets
Strong laminations: original mineral constituents
and fabric crushed and pulverized.
In limestone, range from caverns to tubes. In
rhyolite and other igneous rocks, range from
voids of various sizes to tubes.
. 22 Canadian Foundation Engineering Manual
TABLE 3.5 Classification ofRock with Respect to Strength (after Marinos and Hoek, 2001)
Examples
Term
Specimen can only
Fresh basalt, chert, diabase,
Extremely
> 10 be chipped with a > 250 R6
gneiss, granite, quartzite
strong
geological hammer
Specimen requires Amphibolite, sandstone,
basalt, gabbro, gneiss, many blows of a
100 250 R5 Very strong 4 10
geological hammer to granodiorite, peridotite,
fracture it rhyolite, tuff
Specimen requires
more than one blow of Limestone, marble,
2-4 R4 Strong 50 - 100
a geological hammer sandstone, schist
to fracture it
Cannot be scraped or
peeled with a pocket
Medium knife, specimen can Concrete, phyllite, schist,
25 -50 R3 I 2
be fractured with a strong siltstone
single blow from a
geological hammer
R2 Weak *** 5 25
Can be peeled with
a pocket knife with
difficulty, shallow Chalk, claystone, potash,
indentation made by marl, siltstone, shale,
a firm blow with the rocksalt
point of a geological
hammer
Rl Very weak 5 ***
Crumbles under firm
blows with point of a
geological hammer,
can be peeled with a
pocket knife
Highly weathered or altered
. rock, shale
RO
Extremely
weak
0.25 - 1 *** Indented by thumbnail Stiff fault gouge
*
Grade according to ISRM (1981).
**
All rock types exhibit a broad range of uniaxial compressive strengths reflecting heterogeneity in
composition and anisotropy in structure. Strong rocks are characterized by well-interlocked crystal fabric and
few voids.
***
Rocks with a uniaxjal compressive strength below 25 MPa are likely to yield highly ambiguous results
under point load testing.
Some natural materials, which geologically may be referred to as rock, should be treated from an engineering point
ofview as soils. Some x ~ m p l s of materials that fall into this category include:
Identification and Classification of Soil and Rock 23
Soft or weakly cemented rocks with unconfined or uniaxial compressive strength < 1 MPa;
Any material that can be dug by hand with a shovel;
Cemented sands and gravels, in which the cementing is discontinuous; and
Rocks such as: marl and volcanic tuff, highly altered or crushed rocks, rocks with closely spaced continuous
joints, and residual soils containing rock fragments.
The strength of sedimentary rocks derived from clay and silt sized paliicles, such as shale or mudstone, generally
degrades when exposed to repeated cycles of wetting and drying. The slake durability test can be used to determine
whether the rock will degrade, and if so, how rapidly this will occur. Standards for the slake durability test are
provided by the ISRM (1979).
Characteristics of Discontinuities
3.2.4.2
The structural integrity of a rockmass will be affected by the presence of discontinuities. Major, discrete, through-
going structures such as shears, faults or other major weakness zones will dominate the rockmass behaviour where
they are present. Ubiquitous (present everywhere) structure will also affect the behaviour ofthe rockmass. Systems
of extension joints and minor shear structures will have formed under historical stress fields, which were relatively
consistent over a local region. As a result, there are usually several distinct groups of similarly oriented structures
within a rockmass, termed joint sets or joint families. Ungrouped joints are defined as random. Both discrete and
ubiquitous features should be measured, characterized and analysed.
Full characterization of a rockmass requires measurement of a number of characteristics of the discontinuities,
including discontinuity orientation (Section 3.2.4.3), discontinuity strength (Section 3.2.4.4) and discontinuity
spacing (Section 3.2.4.5). Guidance for description of discontinuities in rockmasses is provided by the ISRM
(1978) .
.
3.2.4.3 Discontinuity Orientation
Discontinuities are considered to be adversely oriented ifthey provide minimal or limited resistance to sliding under
the applied load. Joint orientation can be found from logging drill cores, surveying boreholes and/or from mapping
surface exposures of the rockmass.
To determine joint orientation from core logging, measurements must be made on oriented core. It is essential that
t4e orientation of the borehole be recorded. It is then necessary to take two measurements of orientation for each
joint or discontinuity: alpha, the minimum angle between the maximum dip vector ofthe discontinuity and the core
axis, and beta, the dip direction of the plane, measured clockwise from north or the reference line for the core. The
true orientation of the discontinuities with respect to north can then be calculated following procedures defined by
Priest (1985).
Jo:i;nt orientation can also be found by surveying the drill holes. Surveys can be conducted by inspecting the holes
with borehole cameras, periscopes or probes. Generally, the orientation of each feature can be determined by ,
the angle the feature makes with the hole, and the length of the inscribed circle or oval created by
dIscontinuity around the perimeter of the borehole. The calculation of the true orierttation of the feature depends
Upon both the orientation and the diameter of the drill hole.
•.• of joint characterjstics can also be carried out on exposures of the rockmass on outcrops, or in other
where the rock is exposed, such as shafts, trenches and adits. In these locations, the dip and dip
direction of each discontinuity can be measured directly on surface exposures of each structure, using a geological
It is important when mapping rockmass exposures that the length of the sampling window, or scan line,
IS of sufficient length to sample enough features to provide a statistically valid basis for analysis. A minimum of
local measurements are normally required to define the structure in a localized zone of rock (Hutchinson and
Diederichs, 1996). .
24 Canadian Foundation Engineering Manual
Priest and Hudson (1976) suggest that between 150 and 350 measurements should be-taken at a number of sample
locations, selected to provide data about different lithologies, or about highly variable discontinuity characteristics_
When establishing a mapping program it is important to consider the following issues:
Increased numbers of measurements improve the data precision as well as coniidence in the output
Increased length of sampling or scan lines leads to increased precision in the data.
• Measurements taken from scan lines of similar orientation will be subject to data bias_ Therefore it is
advisable to orient successive scanlines in different orientations where possible, and to COlTect for bias
(Terzaghi, 1965).
Where the rockrnass quality and nature are variable, it is important to separate the data into sub-sets, on the basis
of distinct geological conditions, if possible. For example, where discontinuities have been measured in a rockrnass
comprising two distinct and substantial lithologies, the structural analysis should be calTied out on the full data set,
and then on sub-sets divided on the basis oflithology, to determine if the structural patterns are different.
As noted previously, it is important to distinguish between discrete and Ubiquitous structures in analysis of the
rockrnass stability and strength. The ubiquitous structures can generally be grouped into one or more sets with
similar orientation. Random joints may also be present in the rockrnass. The visual examination and statistical
grouping of structural data into sets is best accomplished using a stereonet. The outcome of this work is generally
a representative (mean) orientation for each cluster or set ofjoint data. Further information regarding information
plotting and data analysis on stereonets is provided by Hoek et al (1995) and Priest (1993).
3.2.4.4 Discontinuity Strength
Discontinuity strength can be defined using several distinct formulations. These include the strength criterion
• proposed by Barton and Choubey (1977) and further discussed by Hoek at a1 (1995), as well as the simplified Mohr-
Coulomb analysis, requiring input parameters of friction, <p, and cohesion, c, discussed by Wyllie (1992).
The most accurate measurement of discontinuity strength is made by performing direct shear tests, which can be
calTied out in the laboratory or in-situ< on undisturbed samples. Guidelines for performing these tests are given by
Wyllie (1992) and the ISRM (1974).
The strength of a discontinuity depends upon the roughness, persistence, and aperture, as well as upon the presence
of any iniilling or water. Each of these parameters, defined below, should be measured during any geotechnical
mapping program.
Roughness of a discontinuity adds to its resistance to shear, especially when the asperities on one side of the
discontinuity interlock with those on the other side.
The importance of surface roughness declines as the aperture, filling thickness and previous displacement along the
discontinuity increase. Roughness is generally measured by comparing observations to published surface profiles
providing an estimate of the Joint Roughness Coefficient (JRC) (Barton, 1973; Barton and Choubey, 1977; Hoek
et aI, 1995).
Roughness can be divided into small-scale and larger-scale roughness. The small-scale roughness, measured over
a sample distance of up to 10 cm, is defined as rough, smooth or polished (slickensided). Roughness at the metre
scale is termed stepped, undulating or planar.
Joint persistence is an estimate of the length of each individual joint. Joints may range from non-persistent or not
continuous, through to highly persistent or fully continuous. Joints, which are highly persistent (long), are more
likely to combine with other structures to form large free blocks of rock, than are short joints .
.
Joint aperture is the perpendiCUlar distance separating the adjacent,walls of an open discontinuity, which may
..,-t
Identification and Classification 01 Sail and Rack 25
be water filled. Other fillings of the discontinuity should be described separately, as discussed in the next point.
Aperture provides an indication ofthe secondary permeability ofthe rockmass as well as some idea of its looseness.
Unfortunately, apertures that can be observed directly are usually disturbed by blasting, excavation and weathering.
Observations ofthe less disturbed rockmasses exposed within boreholes, using a borehole camera or periscope, can
be very useful.
Where possible, the joint aperture should be measured using feeler gauges, or a measuring tape, and classified as
shown in Table 3.6. Impression packer testing can also be used to provide a measurement of the aperture as well.
TABLE 3.6 Classification 0/Joint Aperture
Joint Aperture
<0.5 mm
0.5 to 10mm
> 10mm
Description
Closed
Gapped
Open
Where permeability of the joints is of importance, in-situ permeability testing should be carried out. During the
mapping program, observations of any evidence of current or previous water flow along the joints should be
recorded. Classification ofthe joints based on these observations can be made using Table 3.7.
TABLE 3.7 Classification o/Discontinuities depending upon Water Flow
Class Description
1 Water flow not possible
2 No evidence of water flow
3 Evidence ofwater flow (e.g. rust staining)
4 Dampness
5 Seepage
6 Flow (volume per unit of time)
Joint infilling is the material separating the adjacent rock walls of discontinuities. It may be formed by the in-situ
weathering or alteration of the rock adjoining the discontinuity, or it may be transported. It may be described by
the methods used for the field identification of soils (see Section 3.1). The width of the filled discontinuity, the
mineralogy ofthe infilling, and the roughness ofthe discontinuity walls will all affect the strength and deformability
of the discontinuity and should be examined and described. Water flow can be described in terms of the classes
shown in Table 3.8.
TABLE 3.8 Classification 0/Filled Discontinuities depending upon Water Flow Proposed by the ISRM (1981)
'r
Class Description
1 Filling is dry and has low permeability
2 Filling is damp; no free water is present
3 Filling is wet; drops of free water are present
4 Filling shows outwash; continuous flow of water is present
5 Filling is locally washed out and there is considerable water flow along channels
)"
! ~ ; ; L ; : ~ ) h
!
=
26 Canadian Foundation Engineering Manual
3.2.4.5 Discontinuity Spacing
Discontinuity spacing is important because closely spacedjoints result in a smaller block size, increasing the
potentialfor internalshiftingandrotationastherockmassdeforms,andtherebyreducingstability.
DiscontinuityspacingisdefinedbyPriest(1993) as thedistancebetweena pairofdiscontinuitiesmeasuredalong
a lineofspecifiedlocationandorientation(orscanline). Hedefines threemaintypes ofdiscontinuityspacingsas
follows:
1. Totalspacingisthespacingbetweenapairofimmediatelyadjacentdiscontinuitiesmeasuredalonga line
ofanyspecifiedorientation.
2. Set spacing is the spacing between a pair ofimmediately adjacent discontinuities from a particular
discontinuityset,measuredalongalineof anyspecifiedorientation.
3. Normalsetspacingisthesetspacingmeasuredparalleltothemeannormaltotheset.
Thespacingofdiscontinuitiescanvaryfromextremelywidetoextremelyclose,asshowninTable3.9. Inthiscase,
the distance betweenadjacentdiscontinuities is measured overa samplinglengthnotshorterthan3 meters. The
samplinglengthshouldbegreaterthantentimestheestimateddiscontinuityspacing,if possible(ISRM, 1981).
TABLE 3.9 Classification ofRock with Respect to Discontinuity Spacing (ISRM, 1981)
Spacing Classification
Extremelyclose
Very close
Close
Moderatelyclose
Wide
Verywide
Extremelywide
Spacing Width (m)
<0.02
0.02to 0.06
0.06to 0.20
0.20to 0.6
0.6 to 2.0
2.0 to6.0
>6.0
RockQualityDesignation,orRQD,originallyproposedbyDeereetal.(1967)isanindirectmeasureof thenumber
offractures within a rockmass. The method provides a quick and objective technique for estimating rockmass
qualityduringdiamonddrillcorelogging,as showninTable3.10.
RQDiscalculatedasfollows:
RQD(%)= LLengthof corepieces>10 cm x 100
Totallengthof corerun
TABLE 3.10 Classification ofRock with Respect to RQD Value
Rqd Classification Rqd Value ('Yo)
Verypoorquality
Poorquality
Fairquality
Goodquality
Excellentquality
<25
25to50
50to 75
75to 90
90to100
Identification and Classification of Soil and Rock 27
If the core is broken by handling or during drilling (Le., the fracture surfaces are fresh, irregular breaks rather than
tural joint surfaces), the fresh, broken pieces should be fitted together and counted as one piece. Some judgment
?anecessary in the case of thinly bedded sedimentary rocks and foliated metamorphic rocks, and the method is not
18 precise in these cases as it is for igneous rocks or for thickly bedded limestones or sandstones. The system has
applied successfully to shales, although it is necessary to log the cores immediately upon removing them from
the core barrel, before air-slaking and cracking can begin.
The procedure obviously penalizes rockmasses where recovery is poor. This is appropriate because poor core
recovery usually reflects poor quality rock. Poor drilling equipment and techniques can cause poor recovery. For
this reason, double-tube core barrels of at least NX (54 mm in diameter) must be used, and proper supervision
of drilling is imperative. It is noted that the original definition for RQD Index was based on N size core.
Philosophically, RQD provides a crude estimate ofthe percentage of the rockmass which can be expected to behave
in a fashion similar to a laboratory sample (typically 10 cm long). Rockmass with a low RQD « 50%) has few
intact blocks larger than 1 0 cm. In such rockmasses, joints and fractures dominate the rock's response to stress. The
strength and stiffness of the rock, as determined in the lab, has little relevance here. On the other hand, rockmasses
with RQD > 95% possess strength and stiffness much closer to the values. obtained in the lab. Joints may still
dominate behaviour, especially in the low stress environments of most foundations. A semi-empirical technique for
evaluating rockmass strength and deformability is discussed in the following section.
A great deal of work has been done to correlate RQD with joint frequency, rockmass stiffuess and other properties.
The interested reader is referred to Deere and Miller (1966), Deere and Deere (1988), Cording and Deere (1972),
Coon Merritt (1970) and Bieniawski (1979).
3.2.4.1 Jointed Rockmass Strength and Deformability
The strength of the rockmass will depend on such factors as the shear strength of the surfaces of the blocks defined
by; cliscontinuities, their continuous length, and their alignment relative to the load direction (Wyllie, 1992). If the
loads are great enough to extend fractures and break intact rock, or if the rockmass can dilate, resulting in loss of
between the blocks, then the rockmass strength may be diminished significantly from that of the in-situ
Where foundations contain potentially unstable blocks that may slide from the foundation, the shear strength
parameters of the discontinuities should be used in design (Section 3.2.4.4), rather than the rockmass strength.
Direct measurements of rockmass deformability are best conducted in-situ for foundations carrying substantial
lol'tds, for example major bridge footings. The tests available include borehole jacking tests, plate load tests and
jacking tests for the rockmass modulus. Direct shear tests are used to determine the shear strength of the
fractures. Further details regarding these tests and the use of the data so derived are provided by Wyllie (1992).
He also notes that the test results should be checked against values calculated from the performance of other
foundations constructed in similar geological conditions.
and deformation properties ofjointed rockmasses can be estimated using the Hoek-Brown failure criterion
and Brown, 1997) from three parameters (Hoek and Marinos, 2000; Marinos and Hoek, 2001):
The uniaxial compressive strength of the intact rock elements contained within the rockmass (see Section
3.2.4.1).
A constant, mi, that defines the frictional characteristics of the component minerals within each intact rock
element.
The Geological Strength Index (GSI) which relates the properties of the intact rock elements to those of the
overall rockmass (Table 3.12).
The generalized Hoek-Brown failure criterion is defined as: (J I 0"; +(J Ci(mb 0"; + sr (3.1)
O"d J
28 Canadian Foundation Engineering Manual
where (J'1 and (J'3 are the maximum and minimum effective stresses at failure
(J . is the uniaxial compressive strength of the intact rock pieces
is the value of the Hoek-Brown constant m for the rockmass, and
(GSI 1001
mb=mjex
p
\: 28 )
m.
!
is the Hoek-Brown constant for the intact rock (Table 3.11)
S and a are constants which depend upon the rockrnass characteristics.
(GSI -100]
For GSI > 25, a = 0.5, and s = exp \ 9 )
!
0.65- GSI
II For GSI < 25, s 0, and a
:i
200
i.
The defonnation modulus for weak rocks (cr < 100 MPa), can be estimated from the following equation (Marinos
I!
ci
and Hoek, 2001):. r-- It 0/ )
fa ci (3.2)
II
Iii
100
II:
Marinos and Hoek (2001) caution that this criterion is only applicable to 'isotropic' rockrnasses, wherein the strength
of the whole mass controls its behaviour. In anisotropic rockmasses, such as a strong, blocky sandstone, where the
I
blocks are separated by clay coated and slickensided bedding surfaces, the rockmass behaviour is controlled by the
discontinuities.
The Hoek-Brown constant, m
i
, can be detennined from triaxial testing of core samples, using the procedure discussed
by Hoek et al (1995), or from the values given in Table 3.11. Most of the values provided in the table have been
• derived from triaxial testing on intact core samples. The ranges of values shown reflect the natural variability
in the strength of earth materials, and depend upon the accuracy of the lithological description of the rock. For
example, Marinos and Hoek (2001) note that the tenn granite describes a clearly defined rock type that exhibits
very similar mechanical characteristics, independent of origin. As a result, mj for granite is defined as 32 ± 3. On the
other hand, volcanic breccia is not very precise in tenns of mineral composition, with the result that mj is given as
19 ± 5, denoting a higher level of uncertainty. The ranges ofvalues depend upon the granularity and interlocking of
the crystal structure. The higher values are associated with tightly interlocked and more frictional characteristics.
Values for the Geological Strength Index (GSI), which relates the properties of the intact rock elements to those
of the overall rockmass, are provided in Table 3.12. A similar table, developed for heterogeneous rockmasses, is
provided by Marinos and Hoek (2001).
3.2.4.2 Rockmass Classification
A number of classification systems have been developed to provide the basis for engineering characterization of
rockmasses. An excellent overview of these techniques is provided by Hoek et al. (1995). Most of the classificatioIY
systems incorporating a number of parameters (Wickham et aI., 1972; Bieniawski, 1973, 1979, 1989; Barton et aI.,
1974), were derived from civil engineering case histories in which all compohents of the engineering geological
character of the rockmass were considered. More recently, the systems have been modified to account for the
conditions affecting rockmass stability in underground mining situations.
While no single classification system has been developed for or applied to foundation design, the type of infonnation
collected for the two more common civil engineering classification schemes, Q (Barton et aI, 1974) and RMR
(Bieniawski, 1989) should be considered. These techniques have been applied to empirical design situations, where
previous experience plays a large part in the design of the excavation in the rockmass. Empirical techniques are
not used in foundation engineering, where a more concentrated expenditure of effort and resources is required and
possible, due to the much smaller spatial extent of the work, and the relatively high external loads applied to the
rockmass.
Identification and Classification of Soil and Rock 29
TABLE 3.11 Values a/Hoek-Brown Constant mJor Intact Rock, by Rock Group (after Marinos and Hoek, 2001)
Claystone
Siltstone (4±2)
Clastic
Conglomerate
Breccia *
Sandstone
17±4
7±2
Greywacke
Shale
(6±2)
( 18±3) Marl
(7±2)
Non-clastic
Non-foliated
Slightly
foliated
Foliated **
Plutonic
Hypabyssal
Volcanic
Carbonates
Evaporites
Organic
Light
Dark
Lava
Pyroclastic
Crystalline
Limestone
(l2±3)
Marble
9±3
Migmatite
(29±3)
Granite
32±3
Granodiorite
(29±3)
Gabbro
27±3
Norite
20±5
Porphyry
(20±5)
Agglomerate
(l9±3)
Spartic
Limestone
(lO±2)
Gypsum
8±2
Hornfels
(l9±4)
Meta
Sandstone
(l9±3)
Amphibolite
26±6
Schist
12±3
Diorite
(25±5)
Dolerite
(16±5)
Rhyolite
(25±5)
Andesite
25±5
Breccia
(19±5)
Micritic
Limestone
(9±2)
Anhydrite
12±2
Quartzite
20±3
Gneiss
28±5
Phyllite
(7±3)
Diabase
(15±5)
Dacite
(25±3)
Basalt
(25±5)
Tuff
(13±5)
Dolomite
(9±3)
Chalk
7±2
Slate
7±4
Peridotite
(25±5)
Notes:
Values in parentheses are estimates.
* Conglomerates and breccias may have a wide range ofvalues, depending on the nature ofthe cementingmaterial
and the degree of cementation. Values 'range between those of sandstone and those of fine-grained
sediments.
** These values are for intact rock specimens tested normal to bedding or foliation. Values of m; will be
significantly different if failure occurs along a weakness plane.
/
~
30 Canadian Foundation Engineering Manual
TABLE 3.12 GSI Estimatesfor Rockmasses, from Hoek and Marinos (2000)
GEOLOGICAL STRENGTH INDEX
From the letter codes describing the stucture
and suface of the rock mass (from Table 4), pick
the appropriate box in this chart. Estimate the
average value of the Geological strength index
(GSI) from the contours. Do not attempt to be too
precise. Quoting a range GSI from 36 to 42 is
more realistic than stating that GSI = 3S.
STRUCTURE
BLOCKY· very well interlocked
undisturbed rock mass consisting
of cubical blocks formed by three
orthogonal discontinuity sets
(/)
w
(.)
!!!
Co
l:c'::
VERY BLOCKY· interlocked,
(.)
0
partially disturbed rock mass with
a:
multifaceted angular blocks formed
LI-
0
by four or more diseontlnuity sets
Cl
Z
S2
9
(.)
a:
w
BLOCKYIDISTURBED • folded ....
3:
and/or faulted with angular blocks
Cl
formed by many intersecting
z
discontinuitty sets
w
a:
fd
Q
DISINTEGRATED - poorly interlocked,
heavily broken rock mass with a
mixture of angular and rounded rock
. pieces
-
,
Site Investigations 31
Site Investigations
4. Site Investigations
4.1 Introduction
A site investigation involves the appraisal and characterization of the general subsurface conditions by analysis of
information gained by such methods as geological and geophysical surveys, drilling boreholes, and sampling, in-
situ testing, laboratory testing of samples of the subsurface materials, groundwater observations, visual inspection,
and local experience.
The site investigation is one of the most important steps in any foundation design, and should be carried out under
-
the direction of a person with knowledge and experience in planning and executing such investigations. Drilling
crews should be experienced specifically in borings for geotechnical explorations. A valuable guide is provided by
ASCE (1976).
4.2' Objectives of Site Investigations
An engineer requires sufficient knowledge of the ground conditions at a site to estimate the response of the soils
or rocks to changes induced. by the site works. Peck (1962) noted that the three factors of most importance to the
successful practice of subsurface engineering were:
Know ledge of precedents
A working knowledge of geology
Knowledge of soil mechanics.
A knowledge of precedents in similar ground conditions helps to ensure that no surprises are encountered in the
design and construction of the works; knowledge of geology should enable the engineer to anticipate the range
of possible variations in ground conditions between the locations of any borings; and knowledge of soil or rock
mechanics should minimize the chances of inadequate performance of the ground during and after construction.
A site characterization should be carried out for all projects. The level of detail of any characterization should
be appropriate to the proposed site use and to the consequences of failure to meet the performance requirements.
The engineer should be able to prepare a design that will not exceed ultimate and serviceability limit states (see
Chapters 7 and 8 for further discussion). This means that there should be no danger of catastrophic collapse and
deformations and other environmental changes should be within tolerable limits. Depending on the particular nature
of the proposed development, the site characterization mayor may not involve field exploration.
Once the scope of work has been 'established for the proposed engineering works, the site characterization should
comprise three components:
Desk Study and Site Reconnaissance
Field Exploration
I
I
32 Canadian Foundation EngineeringManual
,
Reporting.
The first component is the most critical. It consists ofa review ofexisting infonnation about the site including
the geology. Attentionto detail in this phase in conjunctionwith asite reconnaissancetoreview existing surface
conditionswillminimizethepotentialforsurprisesduringsubsequentfieldexplorationandconstruction.Theextent
ofthisphaseof theworkwilldependontheexperienceoftheengineerintheparticulargeologicalenvironmentand
withsimilarfoundationsystemsorsoilstructures.
Uponcompletionofthisphase,apreliminarysub-surfacemodelofthesiteshouldhavebeenestablished, enabling
consideration offoundation design issues and preliminary selection offoundation options. The engineer may
proceedtoplananappropriatefield exploration.
Theprimaryobjectivesoffieldexplorationaretodetennine(j.S accuratelyasmayberequired:
• thenatureandsequenceofthesubsurfacestrata;
• thegroundwaterconditions atthesite;
thephysicalpropertiesofthesoilsandrockunderlyingthesite; and
otherspecific infonnation, when needed, such as the chemical composition ofthe groundwater, and the
characteristicsof thefoundations ofadjacentstructures.
Siteinvestigationsshouldbeorganizedto obtainallpossibleinfonnationcommensuratewithprojectobjectivesfor
athoroughunderstandingofthesubsurfaceconditions andprobablefoundationbehaviour.Additional infonnation
ontheobjectives,planningandexecutionofsiteinvestigationsisprovidedbyBecker(200I). ,
Attheveryleast,thefieldexplorationshouldconfinnthepreliminarysubsurfacemodeldevelopedduringtheplanning
'phase and shouldprovide sufficientcharacterizationofmaterialproperties to allow estimationofthe response of
the sitetotheproposedengineeringworks. Inmany cases,themacrostructure ofthe groundsuchasjointingand
fissuring willcontrolthesite and foundationperfonnanceduring andafterconstruction. Anunderstandingofsite
geologywillallowtheengineertoanticipatesuchcasesandfield explorationshoulddetenninethepresenceofany
layers orzones likelyto cause difficultyduring construction or operationofthe facility. Forexample, thinweak
layers may be critical for stability or thin penneable layers may be critical in excavations. The selection ofan
appropriateexplorationtechniqueshouldbebasedonaclearunderstandingofthecriticalfailuremodesandonthe
typesoflayerslikelytobepresent.
Upon completion ofthe stratigraphic logging and material classification, appropriate design parameters can be
selected.Thiscanbedoneonthebasisofoneoracombinationofthefollowing:
• Experiencewithsimilarfoundations insimilargroundconditions,
Correlation with the known properties of soils or rocks from other sites with similar classification
properties,
Samplingandlaboratorytesting
In-situtesting.
-,
4.3 Background Information
Beforetheactualfieldinvestigationisstarted,infonnationshould,wheneverpossible,becollectedon:
the type ofstructure to be built, its intended use, characteristics ofthe structure, intended construction
method,startingdate, andestimatedperiodofconstruction;
• the behaviour ofexisting structures adjacent to the site, as well as infonnation available through local
experience;and
• theprobablesoilconditionsatthesitebyanalysisofgeologicalandgeotechnicalreports and maps,aerial
photographs,andsatellitephotographs.
i;::."
~
Site Investigations 33
4.4 Extent of Investigation
4.4.1 Introduction
The extent of the ground investigation is determined by the soil type and variability of soil and groundwater, the
type of project, and the amount of existing information. It is important that the general character and variability of
the ground be established before deciding on the basic principles of the foundation design of the project.
The combination of each proj ect and site is likely to be unique, and the following general comments should therefore
be considered as a guide in planning the site investigation and not as a set of rules to be applied rigidly in every
case.
The greater the natural variability of the ground, greater will be the extent of the ground investigation required
to obtain an indication ofthe character ofthe ground. The depth of exploration is generally determined by the nature
of the project, but it may be necessary to explore to greater depths at a limited number of locations to establish the
overall geological conditions.
The investigation should provide sufficient data for an adequate and economical design of the project. It should
also be sufficient to cover possible methods of construction and, where appropriate, indicate sources of construction
materials. The lateral and vertical extent of the investigation should cover all ground that may be significantly
affected by the project and construction, such as the zone of stressed ground beneath the bottom of a group of piles,
and the stability of an adj acent slope, if present.
The boreholes should be located so that a general geological view of the whole site can be obtained with adequate
details of the engineering properties of the soils and rocks and of groundwater conditions. More detailed information
should be obtained at the location of important structures and foundations, at locations of special engineering
difficulty or importance, and where ground conditions are complicated, such as suspected buried valleys and old
landslide areas. Rigid, preconceived patterns of boreholes should be avoided. In some cases, it will not be possible
to locate structures until much of the ground investigation data has been obtained. In such cases, the program of
investigations should be modified accordingly. In the case oflarger projects, the site investigation is often undertaken
in stages. A preliminary stage provides general information and this is followed by a second stage and, if required,
additional stages as the details of the project and foundation design develop.
Reference is made to boreholes as the means of site investigation. However, in some cases, boreholes can be replaced
by, or supplemented by, test pits, test trenches, soundings or probe holes. Regardless of the type of investigation, it
is essential that the locations and ground levels for all exploration points be established, if necessary, by survey.
Information and recommendations on the extent of site investigations, both depth and number of boreholes, can be
found in various references. The references that have served as the basis for some ofthe comments presented in this
section include ASCE (1976), British Standards Institution, BS 5930 (1981) and Navfac DM 7.01 (1986).
Robertson (1997) suggested the risk-based approach to characterization shown on Figure 4.1. For low risk projects
to medium sized jobs with few hazards and limited consequences of failure);f it is only necessary to classify
the soils visually and, perhaps, by index testing to allow selection of design parameters. Design may then be based
qn presumptive bearing pressUres. For medium risk projects, some form of in-situ testing will be necessary. The
in-situ testing conventionally consists of penetration testing from which some estimate of the soil properties can be
obtained by correlation. Design methods are also available where in-situ test results are used directly to select design
values of bearing pressure. Where the consequences of unexpected ground response result in an unacceptable level
of risk, a much more elaborate field and laboratory program should be carried out.
Suggestions for the depth of boreholes and spacing of boreholes are considered in the following sections. The
suggestions for minimum depth of boreholes can be more definitive since there is a logical analytical basis. The
minimum depth is related to the depth at which the increase in soil stress caused by foundation loads is small and
34 Canadian Foundation Engineering Manua!
will not cause any significant settlement. The suggestions for spacing of boreholes are however, more difficult to
make and less definitive since much depends on the soil variability, type ofproject, performance requirements, and
foundation type selected.
4.4.2 Depth of Investigation
The site investigation should be carried to such a depth that the entire zone of soil or rock affected by changes
caused by the structure or construction will be adequately explored. The following recommendations are provided
as guidelines:
A commonly used rule of thumb for minimum depth of boreholes is to extend the boreholes to such a depth
that the net increase in soil stress under the weight of the structure is less than 10% of the applied load,
or less than 5 % of the effective stress in the soil at that depth, whichever is less. A reduction in the depth
can be considered if bedrock or dense soil is encountered within the minimum depth. In the case of very
compressible normally consolidated clay soils located at depth, it may be necessary to extend boreholes
deeper than determined by the 10 % and 5 % rules.
The net increase in soil stress should appropriately take into account the effect of fill or excavation that may
be required for site grading.
The soil stress increase should take into account adjacent foundations since they may increase the soil stress
at depth, and the corresponding minimum depth of boreholes.
Boreholes should extend below all deposits that may be unsuitable for foundation purposes such as fill
ground, and weak compressible soils.
The minimum borehole depth beneath the lowest part of the foundation generally should not be less than 6
m, unless bedrock or dense soil is encountered at a shallower depth.
If rock is found the borehole should penetrate at least 3 m in more than one borehole to confirm whether
bedrock or a boulder has been found. Three meters may not be adequate for some geological conditIons;
e.g., where large slabs of rock may occur as rafts in till deposits. No guidance can be given in such cases
but where doubt arises, consideration should be given to drilling deeper boreholes.
• In the case of end bearing piles on rock, the boreholes should be deep enough to establish conclusively the
presenc.e ofbedrock as considered previously. Furthermore, the boreholes or selected number ofboreholes
should be extended to a sufficient depth to minimize the possibility of weaker strata occurring below the
bedrock surface which could affect the performance of piles. In addition, when weathered rock is present,
the boreholes should extend to a sufficient depth into the unweathered rock.
Since the foundation type and design is not always finalized at the beginning of the site investigation,
it may be prudent to drill holes deeper than originally estimated to allow some variation during project
development.
Not all boreholes need to be drilled to the same depth since shallower intermediate boreholes may provide
adequate information for more lightly loaded foundations. Also, the level of detailed sampling and in-situ
testing may vary considerably from borehole to borehole, depending on the design needs.
Pile-supported rafts on clays are often used solely to reduce settlement. In these cases, the depth of
exploration is governed by the need to examine all strata that could contribute significantly to the settlement.
A commonly used approximation in settlement calculations for piled rafts is to assume that the entire load
is carried on an imaginary raft located at a depth equal to two-thirds of t ~ pile length. The borehole depth
should extend to the level at which the soil stress increase from the imaginary raft is small and will not cause
significant settlement. In practice, on many occasions, this would lead to an excessive and unnecessary
depth of exploration so the engineer directing the investigation should terminate the exploration at the depth
where the relatively incompressible strata have been reached.
• Fill ground, and weak compressible soils seldom contribute to the shaft resistance of a pile and may add
downdrag to the pile load. The entire pile load, possibly with the addition of downdrag, will have to be
borne by the stronger strata lying below the weak materials. This will increase the stress at the bottom of
the piles and consequently the corresponding depth of boreholes.
• For driven pile foundations the length of the piles is not known with any accuracy until installation of
test piling or construction begins. Selection of the depth of boreholes should make an allowance for this
•
Site Investigations 35
uncertainty. General guidance can be provided from previous experience in the area.
If any structure is likely to be affected by subsidence due to mining or any other causes, greater exploration
depths than those recommended above may be required.
PROJECT
Ground Investigation
I n-situ testing
& Disturbed samples
• In-situ testing
e.g. SPT. CPT (SCPTu).
DMT
• Possibly specific tests
e.g. PMT. FVT
• Index testing
e.g. Atterberg limits, grain
size distribution, em;n!emax, Gs
Preliminary Site Evaluation
e.g. geologic model, desk study,
risk assessment
MODERATE
RISK
Ground Investigation
Same as for low risk
projects, plus the following:
Additional specific
in-situ tests
Basic laboratory
testing on
selected bulk
samDies
Preliminary ground
investigation
Same as for low risk
projects, plus the following:
• Identify critical
zones
Additional in-situ tests
&
High quality
undisturbed samDles
High quality laboratory
testing (response)
• Undisturbed samples
• In-situ stresses
• Appropriate stress path
• Careful measurements
FIGURE 4.1. Generalizedjlow chart to illustrate the likely geotechnical site investigation
based on risk (after Robertson, 1997)
4.4.3 Number and Spacing of Boreholes
Determination of the minimum depth of boreholes has a logical basis which is related to the depth at which the
increase in soil stress caused by the foundation loads is small and will not cause any significant settlement. The
basis for determining the spacing of boreholes is less logical, and spacing is based more on the variability of site
conditions, type ofproject, performance requirements, experience, and judgment. More boreholes and closer spacing
is generally recommended for sites which are located in less developed areas where previous experience is sparse
or non-existent. The following comments are given for planning purposes. The results of the site investigation may
indicate more o ~ p l e x foundation soil conditions which may require additional boreholes.
For buildings smaller than about 1000 m
2
in plan area but larger than about 250 m
2
, a minimum of four boreholes
where the ground surface is level, and the first two boreholes indicate regular stratification, may be adequate.
Five boreholes are generally preferable (at building comers and centre), and especially if the site is not level. For
buildings smaller than about 250 m
2
, a minimum of three boreholes may be adequate. A single ,borehole may be
sufficient for a concentrated foundation such as an industrial process tower base in a fixed location with the hole
made at that location, and where the general stratigraphy is known from nearby boreholes.
36 Canadian Foundation Engineering Manual
The use of a single borehole for even a small project should be discouraged and not considered prudent except
for special circumstances as noted above, otherwise three boreholes is the minimum. The results of one borehole
can be misleading, for example, drilling into a large boulder and misinterpreting as bedrock. Many experienced
geotechnical engineers know from direct experience or have personal knowledge that the consequences of drilling a
single borehole can be significant. In practical terms, once a drill rig is mobilized to the site, the cost of an additional
one or two boreholes is usually not large.
The preceding comments are intended to provide guidance on the minimum number of boreholes for smaller
structures where the perfonnance of the foundations are not particularly critical. Drilling of than the suggested
minimum number of boreholes should have a sound technical basis.
The determination of the number of boreholes and spacing for larger, more complex, and critical projects fonns a
very important part of the geotechnical design process, and cannot be covered by simple rules which apply across
the entire country. Establishing the scope of a geotechnical investigation and subsequent supervision requires the
direction of an experienced geotechnical engineer.
4.4.4 Accuracy of Investigation
Subsurface investigations should call for a variety of methods to determine the soil properties critical in design.
In particular it is good practice, whenever possible, to use both field and laboratory tests for soil strength and
compressibility determinations. The accuracy of the stratigraphy, as determined by geophysical methods such as
seismic reflection or refraction, or resistivity measurements, should always be checked by borings or other direct
observations.
4.5 In-Situ Testing of Soils
4.5.1 Introduction
The physical and mechanical properties ofsoils are determined either by in-situ or laboratory testing or a combination
of both. Both approaches have advantages, disadvantages, and limitations in their applicability.
The measurement of soil properties by in-situ test methods has developed rapidly during the last two decades.
Improvements in equipment, instrumentation, techniques, and analytical procedures have been significant.
In-situ test methods can be divided into two groups: logging methods and specific methods.
Commonly, the logging methods are penetration-type tests which are usually and economical. When based on
empirical correlations, logging methods provide qualitative values ofvarious geotechnical parameters for foundation
design. Specific methods are generally more specialized and often slower and more expensive to perform than
the logging methods. They are normally carried out to obtain specific soil parameters, such as shear strength or
deformation modulus.
The logging and the specific methods are often complementary in their use. The logging methods are best suited
for stratigraphic logging with a preliminary and qualitative evaluation of the soil parameters, while the specific
methods are best suited for use in critical areas, as defined by the logging methods, where more detailed assessment
is required of specific parameters. The investigation may include undisturbed sampling and laboratory testing.
The logging method should be fast, economic, continuous, and most importantly, repeatable. The specific method
should be suited to fundamental analyses to provide a required parameter. One of the best examples of a combination
of logging and specific test methods is the cone penetrometer and the pressuremeter.
Reviews of in-situ testing techniques and their applicability have been published by several e.g., Mitchell
et al. (1978), Campanella and Robertson (1982), and Lunne, et al. (1989). Common in-situ techniques are listed
in Table 4.1.
Site Investigations 37
4.5.2 Standard Penetration Test (SPT)
The introduction in the United States in 1902 of driving a 25-mm diameter open-end pipe into the soil during the
wash-boring process marked the beginning of dynamic testing and sampling of soils. Between the late 1920s and
early 1930s, the test was standardized using a 51-mm O.D. split-barrel sampler, driven into the soil with a 63.5-kg
weight having a fall of760 mm. The blows required to drive the split-barrel sampler a distance of300 mm, after
an initial penetration of 150 mm, is refelTed to as the SPT N value. This procedure has been accepted internationally
with only slight modifications. The number of blows for each of the three 150-mm penetrations must be recorded.
The Standard Penetration Test (SPT) is useful in site exploration and foundation design. Standard Penetration Test
results in exploratory borings give a qualitative guide to the in-situ engineering properties and provide a sample of
the soil for classification purposes. This information is helpful in determining the extent and type of undisturbed
samples that may be required.
TABLE 4.1 Summary ofCommon In-Situ Tests
Type of test
Not
applicable to
Properties that
can be determined
Remarks , References*
Standard
Penetration
Test (SPT)
Sand
Soft to firm
clays
Qualitative evaluation
of compactness.
Qualitative comparison
of subsoil stratification.
(See Section
4.5.2)
ASTM D 1586-84 Peck et
al. (1974) Tavenas (1971)
Kovacs et a1. (1981)
ESOPT II (1982)
ISOPT (1988)
Schmertmann (1979)
Skempton (1986)
Dynamic
Cone
Penetration
Test (DCPT)
Sand Clay
Qualitative evaluation
of compactness.
Qualitative comparison
of subsoil stratification.
(See Section
4.5.3)
ISSMFE (1977b, 1989)
Ireland et a1. (1970)
ISOPT (1988)
Cone
Penetration
Test (CPT)
Sand, silt,
and clay
Gravels
Continuous evaluation
of density and strength
of sands. Continuous
evaluation of undrained
shear strength in clays.
(See Section
4.5.4.) Test is
best suited for
the design of
footings and
piles in sand;
tests in clay are
more reliable
when used in
conjunction
with vane tests
Sanglerat (1972)
Schmertmann (1970,
1978)
ISOPT (1988)
ISSMFE (1 977b, 1989)
ASTM D3441-79
Robertson and
Campanella (1983a, b)
Konrad and Law (1987a,
b)
Becker
Penetration
Test (BPI)
Gravelly
and cobbly
material
Soft soils
Qualitative evaluation
of compactness
(See Section
4.5.5)
Anderson (1968)
Harder and Seed (1986)
Sy and Campanella
(1992a, b)
Field Vane
Test (FVI)
Clay
Sands and
Gravels
Undrained shear
strength
See Section
4,5,6) Test
should be used
with care,
particularly in
fissured, varved
and highly
plastic clays.
ASTM D 2573-72
Bjerrum (1972)
Schmertmann (1975)
Wroth and HVghes (1973)
Wroth (1975)
38 Canadian Foundation Engineering Manual
Not Properties that
Remarks References*
Type of test
applicable to can be determined
1 Menard (1965) Eisenstein
Soft rock,
and
Pressure- .\ Soft sensitive
Bearing capacity and i (See Section
dense sand,
i Morrison (1973)
clays loose silts meter Test
compressibility 4 5
gravel, and
1 . .
7
) Baguelin et al. (1978)
(PMT) : and sands
till
I. Ladanyi (1972)
• Empirical correlation
i Marchetti (1980)
for soil type, Ko, Flat
Campanella and (See Section
Sand and
overconsolidation Gravel Dilatometer
Robertson (1982, 1991) 4.5.8)
clay
ratio, undrained shear
Test (DMT)
Schmertmann (1986)
strength, and modulus
(See Section
4.5.9) Strictly
Plate Bearing Deformation modulus. applicable only
Test and Modulus of subgrade if the deposit is Sand and
ASTM D 1194-72
reaction. Bearing uniform; size
Test
Screw Plate clay
capacity. effects must be
! considered in
other cases.
Variable-
head tests
in boreholes
have limited
accuracy. Hvorslev (1949) Sherard
Evaluation of
et al. (1963) Results reliable Permeability Sand and
coefficient of
to one order Olson and Daniel (1981) gravel Test
permeability
Tavenas et al. (l983a, b)
are obtained
only from long
term, large scale
pumping tests.
of magnitude
* See corresponding Sections ofthis chapter for a more complete list of references.
Details of the split-barrel sampler and procedure for the Standard Penetration Test are described in ISSMFE (1989)
and ASTM D1586. The split-barrel sampler commonly used in the United States often differs from such samplers
used elsewhere in that the inner liner is not used. As a result, the inner diameter of the sampler is greater than
specified, and since the soil friction developed inside the sampler is reduced, the N value may be underestimated
by up to 20 %.
F or all of its wide use and simple procedure, the results of the SPT are greatly affected by the sampling and drilling
operations. In addition, it is generally recognized that in granular soils of the same density, blow counts increase
-- with increasing grain size above a grain size of about 2 mm.
Improper drilling and sampling procedures which can affect the Standard Penetration Test (SPT) N value are listed
in Table 4.2.
F or the foregoing reasons, it is readily apparent that the repeatability ofthe Standard Penetration Test is questiopable.
In addition, relationships developed for SPT N value versus an exact density should be used with caution. The
Standard Penetration Test is, however, useful in site exploration and foundation design and provides a qualitative
Site Investigations 39
guide to the in-situ properties of the soil and a sample for classification purposes. The evaluation of the test results
should be undertaken by an experienced geotechnical A detailed discussion of the possible errors in SPT
results has been presented by Schmertmann (1979) and Skempton (1986).
TABLE 4.2 Procedures that may affect the SPT N Value
Inappropriate test procedure Potential consequence
Inadequate cleaning of the borehole
Not seating the sampler spoon on undisturbed soil
Driving ofthe sampler spoon above the bottom of the
casing
SPT is not entirely undertaken in original soil; sludge may
be trapped in the sampler and compressed as the sampler
is driven; increase the blow count; (this may also prevent
sample recovery)
Incorrect N-values obtained
N-values are increased in sands and reduced in cohesive
soils
Failure to maintain sufficient hydrostatic head in the
borehole throughout the entire drilling, sampling, and
testing procedure
The water level in the borehole must be at least equal
to the piezometric level in the sand, otherwise the sand
at the bottom of the borehole may become quick and be
transformed into a loose state, rising inside the casing.
Overdrive sampling spoon. Higher N-values usually result from overdriven sampler.
Sampling spoon plugged by gravel.
Plugged casing
"....
Higher N-values result when gravel plugs sampler, and
resistance of an underlying stratum of loose sand could be
highly overestimated.
High N-values may be recorded for loose sand when
sampling below the groundwater table if hydrostatic
pressure causes sand to rise and plug casing.
Overwashing ahead of casing.
Low N-values may result for dense sand since sand is
loosened by overwashing.
Drilling method. '
Drilling techniques such as using a cased hole compared to
a mud stabilized hole may result in different N-values for
some soils.
Not using the standard hammer drop
Free fall of the drive hammer is not attained
Energy delivered per blow is not uniform (European
countries have adopted an automatic trip hammer, which
currently is not in common use in North America)
Using more than 1 Yi tums of rope around the drum andior
using wire cable will restrict the fall of the drive hammer.
Not using correct weight of drive hammer
Drive hammer does not strike the drive cap concentrically
Not using a guide rod
Driller frequently supplies drive hammers with weights
varying from the standard by as much as 5 kg
Impact energy is reduced, increasing the N-values
Incorrect N-values obtained
40 Canadian Foundation Engineering Manual
Inappropriate test procedure
Potential consequence
If the tip is damaged and reduces the opening or increases
Not using a good tip on the sampling spoon
the end area, the N-value can be increased
Use of drill rods heavier than standard Heavier rods result in incorrect N-values
'",
Extreme length of drill rods
Loose connection between rods, top rod, and drive cap
Not recording blow counts and penetration accurately
Incorrect drilling procedures
Experience indicates that at depth over about 15m, N-
values are too high, due to energy losses in the drill rods;
use of a down-the-hole hammer should be considered
Insufficient tightening of drill rods results in and drive cap
poor energy transmission and increased N-values
Incorrect N-values obtained
The SPT was originally developed from wash boring
techniques; drilling procedures that seriously disturb the
soil will adversely affect the N-values, e.g., drilling with
cable-tool equipment. The use of wash boring with a side
discharge bit or rotary with a tricone drill bit and mud flush
is recommended.
Using drill holes that are too large
Holes greater than 100 mm in diameter are not
recommended; use of large diameter-holes may decrease
the blow count, especially in sands.
Inadequate supervision
Frequently a sampler will be impeded by gravel or cobbles,
causing a sudden increase in blow count; this is often
not recognized by an inexperienced observer (accurate
recording of drilling, sampling, and depth is always
required)
Improper logging of soils Not describing the sample correctly
Using too large a pump
Too high a pump capacity will loosen the soil at the base of
the hole causing a decrease in blow count
Numerous studies have shown considerable variations in the procedures and equipment used throughout the world
for this supposedly standardized test. However, the SPT, with all its problems, is still the most commonly used in-
situ test today. As a result considerable research on individual aspects of the standard penetration test equipment
and procedures have been carried out in North America and Japan in an effort to better understand the factors
affecting the test (Schmertmann, 1979; Kovacs and Salomone, 1982; Y oshimi and Tokimatsu, 1983). Considerable
improvements in the understanding of the dynamics of the SPT have occurred in recent years (Schmertmann and
Palacios; 1979, Kovacs et aI., 1981; Kovacs and Salomone, 1982; Sy and Campanella, 1991a and b). Skempton
(1986) and Decourt (1989) present thorough reviews of SPT corrections and correlations with soil properties.
On the basis ofthe studies referred to above and other investigations, several corrections for adjusting or standardizing
the field standard penetration test value, N, are considered in the following paragraphs. While the corrected N values
may be required for design purposes, the original field N values should always be given on the borehole logs. These
corrections or adjustments to N values can include:
Correction for the actual energy delivered to the drill rod. Energy levels vary significantly, depending on
the equipment and procedures used.
Site Investigations 41
Correction for the influence of the overburden stress on N values.
Correction to account for the length of the drill rod.
Correction to account for absence or presence of a liner inside the split-spoon sampler.
Correction to account for the influence of the diameter of the borehole.
Energy measurement during recent studies has shown that ERr' the energy delivered to the rods during an SPT
expressed as a ratio of the theoretical free-fall potential energy, can vary from about 30 % to 90 % (Kovacs and
Salomone, 1982; Robertson et al. 1983). The energy delivered to the drill rod varies with the hammer release
system, hammer type, anvil and operator characteristics. The type of hammer and anvil appear to influence the
energy transfer mechanism.
In view of the variation of energy input during the SPT for various situations, there is clearly a need to be able
to adjust or normalize the N values to allow comparison on a common basis. Schmertmann and Palacios, (1979),
have shown that the SPT blowcount is approximately inversely proportional to the delivered energy. Kovacs et
al. (1984), Seed et al. (1984) and Robertson et al. (1983) have suggested that an energy level of 60 % appears
to represent a reasonable historical average for most SPT based empirical correlations. Seed et al. (1984) clearly
specify that for liquefaction analyses the SPT N values must be corrected to an energy level of 60 %.
N-values measured with a known or estimated rod energy ratio, ERr' in percent, can be normalized to an energy
level of 60 %, that is to N
60
, by the following conversion:
(4.1)
N =N(ER
r
)
60 60
Based on data summarized by Skempton (1986) and Seed et al. (1984), recommended generalized energy ratios,
ERr' in percent, are given in Table 4.3. These values represent broad global correlations and should be used with
caution.
TABLE 4.3 Generalized SPT Energy Ratios
(Based on Seed et al., 1984; Skempton, 1986)
Country Hammer Release Er
r
(%) Err/60
North and South
America
Donut
Safety
Automatic
2 turns of rope
2 turns of rope Trip
45
55
55 to 83
0.75
0.92
0.92 to 1.38
Japan
Donut
Donut
I
2 turns of rope
Auto-Trigger
65
78
1.08
1.3
China
Donut
Automatic
I
2 turns of rope
Trip
50
60
0.83
l.0
Safety 2 turns of rope 50 0.83
U.K.
Trip 60 l.0 Automatic
Italy Donut Trip 65 1.08
-
42 Canadian Foundation Engineering Manual
TABLE 4.4. Approximate Corrections to Measured SPT N-Values (after Skempton, 1986)
Correction Factor Item Correction Factor Value
C
r
C
s
Cd
Rod Length (below anvil):
m
10m
4-6 m
3-4m
Standard Sampler US
Sampler without liners
Borehole diameter:
65 - 115 mm
150mm
200mm
1.0
0.95
0.85
0.70
1.0
1.2
1.0
1.05
1.15
The International Reference Test procedure (ISSMFE, 1989) recommends that in situations where comparisons
of SPT results are important, calibrations should be made to evaluate the efficiency of the equipment in terms of
energy transfer. Table 4.3 provides only a guide to anticipated average energy levels. The recommended method
of SPT energy measurement is specified in ASTM D4633-86 and ISOPT (1988). For projects where SPT results
are important, such as liquefaction studies, or where major project decisions rely on the SPT, energy measurements
should be made.
The SPT N values vary with the confining stress, and consequently, the overburden pressure. An overburden stress
correction is required to normalize the field blowcounts to a constant reference vertical effective normal stress as
done for liquefaction studies. This correction eliminates the increase in blowcount at constant density due to the
increase in confining s t r e ~ s
A variety of methods of correcting for overburden pressure have been suggested by various investigators and
several of these have been summarized by Liao and Whitman (1986). Liao and Whitman (1986) also proposed a
correction factor
which is very similar to the other acceptable correction factors and is simple to use. The correction factor used
elsewhere in this Manual, however, is that proposed by Peck et al. (1974) and is described in the following
paragraphs.
A commonly used overburden reference effective stress level, particularly for liquefaction studies, is 1.0 tsf or 1.0
kg/cm
2
, and the corresponding value in SI units, is approximately 96 kPa. If the N-value at depth corresponding to
an effective overburden stress of 1.0 tsf (96 kPa) is considered, the correction factor C to be applied to the field N
N
values for other effective overburden stresses is given approximately by
. [1920J
eN =0.7710g
lO
~ (4.2)
where C
N
overburden correction factor
a!
effective overburden stress at the level ofN-value in kPa
v
The equation for C
N
is not valid for a,: less than about 0.25 tsf (24 kPa) since for low overburden pressures the
equation for C
N
leads to unreasonably large correction factors. To overcome this problem, Peck et al. (1974) have
proposed using the chart given as Figure 11.8 (Chapter 11) which is a plot of versus effective overburden stress
Site Investigations 43
(pressure). For values of overburden pressure more than 24 kPa, the cOlTection factor C
v
on Figure 11.8 cOlTesponds
to that obtained from the equation for C". To avoid excessively large values of C\, for small effective overburden
pressures, the plot on Figure 11.8 has been arbitrarily extended to a C;\ value of 2.0 at zero effective overburden
pressure. Although the maximum value of of2.0 has been suggested, it is probably prudent in practice not to use
values larger than about 1 unless justified by special studies.
The normal practice in liquefaction studies is to normalize the N-values to an energy ratio of 60 %, and also for an
effective overburden pressure of 1.0 tsf (96 kPa), (see Seed et aI., 1984) This normalized value, known as (N 1)60' is
given by the following equation:
(
N) N( ERr )(c ) (4.3)
I 60 l 60 N
where = N value COlTected and normalized for energy ratio of60 % and normalized for effective
overburden pressure of 1.0 tsf or 96 kPa (SI units)
field blowcount
rod energy ratio normalized to 60 % (Table 4.3)
overburden stress correction
Further corrections to N values can also be made, when appropriate for the effects of rod length, sampler type and
borehole diameter. Approximate correction factors are given in Table 4.4. Wave equation studies (Schmertmann
and Palacios, 1979) show that the theoretical energy ratio decreases with rod length less than about 10m. The
approximate correction factor, Cr, is given in Table 4.4. Note, however, that when applying Seed's simplified
liquef3ftion procedure, the (N
1
)60 value should be COlTected by multiplying with a rod length COlTection factor of
0.75 for depths less than 3 m as recommended by Seed, et al. (1984).
Studies by Schmertmann (1979) also found that removing the liner from an SPT sampler designed for a liner
improved sample recovery but reduced the measured blowcounts by about 20 %. The corresponding correction
factor in Table 4.4 is C '
s
Although good modern practice has the SPT undertaken in a borehole with a diameter between 65 mm and 115 mm,
many countries allow testing in boreholes up to 200 mm in diameter. The effect of testing within relatively large
diameter boreholes can be significant in sands and probably negligible in clays. Approximate correction factors for
the borehole diameter, Cd' are given in Table 4.4.
In addition to the foregoing, there are some other factors which may require consideration and possible correction
for specialized applications. These factors include grain size, overconsolidation, aging and cementation (Skempton,
1986). Also, special consideration may be required ifheavy or long rods (greater than about 20 m) are used. Energy
losses and damping may result in N-values that are too high,
While using normalized (N
1
)60 values together with other corrections as appropriate has merit, many ofthe standard
penetration N-value empirical relationships given in this Manual were developed before it was common practice to
correct field N-values. The question then arises as to whether, and in what manner the N-values should be cOlTected
and the following comments are provided for guidance.
A review of the procedures recommended for correcting N-values by authors offoundation engineering text books
indicates that there is some difference of opinion. Das (1990) and Fang (1991) both recommend the use of the
overburden pressure cOlTection for the Standard Penetration Test. Bowles (1988) perhaps provides one ofthe more
comprehensive evaluations ofN-value corrections. He states that since there are several opinions on N corrections,
then the following three basic approaches are possible:
1. Do nothing which, with current equipment and conditions, may be nearly correct for some situations.
44 Canadian Foundation Engineering Manual
2. Adjust only for overburden pressure.
3. Use the equation for (N1)60 and when appropriate apply cOHections for rod length, C
r
, sample liner, C
s
'
and borehole diameter, Cd' This is probably the best method but requires equipment calibration for ER.
This procedure may become mandatory to allow extrapolation of N data across geographic regions where
different equipment is used.
In view of the absence of general agreement on the application of N-value corrections, the following guidelines
are given for use in this Manual. The N values should be corrected to the (N )60 values, together with any other
conections as appropriate, when used for liquefaction studies. The N-values should also be corrected as specifically
identified in the various chapters of this Manual but such corrections may not include all the possible factors.
In the absence of any specific recommendations in this Manual on corrections to the N-values prior to using empirical
relationships, it is difficult to provide specific guidance. Often no cOHections are used and this may be reasonably
appropriate in Canadian practice for some conditions as suggested by the following comments.
energy efficiency of much of the Standard Penetration Test equipment currently in use in Canadian practice
is very similar to that used when the various N-value empirical relationships were developed, that is (ERr) was 45
to 60 percent so the energy con'ection may be small. The rod length correction C
r
is applicable for rod lengths less
than 10 m. However, most existing empirical correlations with SPT N-values did not incorporate C
r
and hence
this correction may not be necessary in many cases. In usual Canadian practice, the sampler liner correction, C
s
'
and the borehole diameter correction, Cd' are both 1.0 so no correction is required. Consequently, for the usual
Canadian practice, the most likely correction to field N-values for use in the N-value empirical relationships that
may be considered is the overburden correction factor, C
N
, which may apply in cases where overburden pressure is
a significant factor.
The overburden correction factor, however, is not always used in current practice, and the significance of this
omission will depend on the type of problem and empirical relationship for N being considered. Ignoring the
correction factor for N-values at shallow depths will be conservative. Ignoring the overburden correction factor at
greater depths may be unconservative if the empirical relationship being considered does not extend to the same
depth range, or makes no allowance for influence of depth.
4.5.3 Dynamic Cone Penetration Test (DCPT)
The dynamic cone penetration test is a continuous test which utilizes a dropping weight to drive a cone and rod into
the ground. The number ofblows for each 300-mm penetration (200 mm in European practice) is recorded. A variety
of equipment is used in different areas. The Dynamic Probe Working Party ofthe ISSMFE Technical Committee on
Penetration Testing has published suggested international reference test procedures in the Proceedings of the First
International Symposium on Penetration TestingiISOPT-1I0RLANDO/March 1988. This reference contains useful
discussions of the test.
Usually in North American practice, the rods consist of the same 44.4 mm diameter rods used for the Standard
Penetration Test (SPT), and the drive weight and height of fall is the same as in the SPT. A variety ofcones are used.
They may be fixed or disposable (to reduce resistance on withdrawal) and usually are pointed. The diameter ofthe
cones used range from 50 mm to 100 mm and maybe short or sleeved, depending on the soil strata and the desired
information. Some experience has suggested that short cones should be avoided and that a cone with 45° taper from
a 30 mm diameter blunt tip to a 60 mm diameter with a minimum 150 mm long sleeve reduces rod friction compared
to a short (unsleeved) cone.
In cohesive soils if a dynamic cone is used to delineate the boundary between stiff to firm clay and soft to very soft
clay, experience has shown that very large cones, 100 mm or larger, with a sleeve that is 2.5 times the diameter,
could provide a better resistance contrast between the strata.
The dynamic penetrometer is subject to all of the disadvantages of the Standard Penetration Test and should not
Site Investigations 45
be used for quantitative evaluation of the soil density and other parameters. One major problem with the Dynamic
Cone Penetration Test is rod friction which builds up as the probe depth increases. At depths beyond 15 m to 20
m, the effect of rod friction tends to mask the cone tip resistance, making interpretation of test results difficult. Rod
friction can be minimized by use of an outer casing which "follows" behind the cone, or by periodic drilling and
continuing the Dynamic Cone Penetration Tests fl:om the bottom of the drill hole. In some areas, local experience
and calibration with information from sampled drill holes have made the dynamic cone penetration test a useful
in-situ technique. The main advantage of the dynamic cone test is that it is fast and economical, and a
continuous resistance versus depth profile is obtained that can provide a visual relationship of soil type or density
variations.
4.5.4 Cone Penetration Test (CPT)
Many static cone penetrometers were developed and used in Europe before gaining acceptance in North American
practice (Table 4.5). The main reasons for the increasing interest in cone penetration tests (CPT) are the simplicity
of testing, reproducibility of results, and the greater amenability oftest data to rational analysis. A cone point with
a 10 cm
2
base area and an apex angle of 60° .has been specified in European and American standards (ISSMFE,
1989, and ASTM D3441). A friction sleeve with an area of 150 cm
2
is located immediately above the cone point.
Mechanical cone penetrometers (Begemann, 1965) have a telescopic action, which requires a double rod system.
With the electrical cone penetrometers, the friction sleeve and cone point advance continuously with a single rod
system.
Not withstanding that the mechanical penetrometers offer the advantage of an initial low cost for equipment and
simplicity of operation, they have the disadvantage of a slow incremental procedure, ineffectiveness in soft soils,
requirement of moving parts, labour-intensive data handling and presentation, and limited accuracy. The electric
cone penetrometers have built-in load-cells that record continuously the point-pressure, qc' and the local side shear,
\. The load-cells can be made in a variety of capacities from 50 to 150 kN for point resistance and 7.5 to 15 kN
for local side shear, depending on the strength of the soils to be penetrated. Typically, an electric cable connects
the cone-and-sleeve load-cells with the recording equipment at the ground surface although other data transfer
technologies are available.
TABLE 4.5 Types o/Cone Penetration Tests (Adaptedfrom Schmertmann, 1975)
Type ,
Static or
quasistatic mechanical jacking cone
Rotation of a Sweden
Weight- sounding
weighted helical variable Finland
(screw)
cone Norway
Hydraulic or
20 mrnls Worldwide
The electric cone penetrometer offers obvious advantages over the mechanical penetrometer, such as: it is a
more rapid procedure, it provides continuous recording, higher accuracy and repeatability, there is the potential
for automatic data logging, reduction, and plotting, and additional sensors can also be incorporated in the cone
point. Electric cones carry a high initial cost for equipment and require highly skilled operators with knowledge of
electronics. They also require adequate back-up in technical facilities for calibration and maintenance.
The most significant advantage that electric cone penetrometers offer is their repeatability and accuracy. An
important application of the cone-penetration test is to determine accurately the soil profile. Extensive use is made
of the friction ratio, i.e., the ratio between the point-pressure and the side shear, as a means of soil classification
(Begemann, 1965, Schmertmann, 1975, Douglas and Olsen, 1981). It has been shown over the past several years
--
- - -
46 Canadian Foundation Engineering Manual
that stress normalization of cone point resistance and friction ratio is correct from a fundamental perspective, and
its use provides a much better correlation with retrieved samples. It must, however, be kept in mind at all times that
the CPT provides an indication of soil type behaviour, which is different from explicit soil type in some instances,
but is what the geotechnical engineer ultimately requires for design purposes. Robertson (1990) presents stress
nonnalized soil classification charts.
A significant development in the electric cone-penetration testing has been the addition of a pore-pressure gauge at
the base of the cone. Pore-pressure measurement during static cone-penetration testing provides more information
on the stratification and adds new dimensions to the interpretation of geotechnical parameters, especially in loose
or soft, fine-grained deposits (Konrad and Law, 1987a). The continuous measurement of pore pressures along with
the point resistance and side shear makes the electric cone penetrometer the premier tool for stratification logging
of soil deposits (Campanella and Robertson, 1982; Tavenas, 1981).
The excess pore pressure measured during penetration is a useful indication ofthe soil type and provides an excellent
means for detecting stratigraphic detail, and appears to be a good indicator of stress history (Konrad and Law,
1987b). In addition, when the steady penetration is stopped momentarily, the dissipation of the excess pore pressure
with time can be used as an indicator of the coefficient of consolidation.
Finally, the equilibrium pore-pressure value, i.e., the pore pressure when all excess pore pressure has dissipated, is
a measure of the phreatic elevation in the ground.
Cone resistances and pore pressures are governed by a large number of variables, such as soil type, density,
stress level, soil fabric, and mineralogy. Many theories exist to promote a better understanding ofthe process of a
penetrating cone, but correlations with soil characteristics remain largely empirical.
Empirical correlations have also been proposed for relating the results of the cone penetration test to the Standard
Penetration Test (SPT), as well as to soil parameters, such as shear strength, density index, compressibility, and
modulus (Campanella and Robertson, 1981; Robertson and Campanella, 1983 a, b).
I
-t
......-';...- ---",,-
,-
_... -"'" ......
---- --- -'
- - ";\.1'-1\0\'\ ........... --C-
co'r.
P
.... --... ----
.... _ ... '#...- - RANGE OF RESULTS
....... --: ___ f"'- Burland and Burbidge, 1985
:.- _--- RANGE OF RESULTS
Robertson et aI. 1983 .
..-..
N
E
-..
Z
4000
2000
E
M
2000
0
800
-..
C/)
600
;:
0
15
400
-
200
d'iz
100
--- --- -
• € €
.... ...-
---;
__ -
10
MEAN PARTICLE SIZE, D 50 (mm)
0.01 0.1 1.0
Course
Fine
FIGURE 4.2 Variation ofqclN ratio with mean grain size (adapted from Robertson et al., 1983;
and Burland and Burbidge, 1985). The dashed lines show the upper and lower limits ofobservations.
Site Investigations 47
The use of the CPT to estimate equivalent SPT values is a common application for foundation design. The major
advantages of the CPT over the SPT are its continuous profile and the higher accuracy and repeatability it provides;
subsequently if a good CPT-SPT correlation exists, very comprehensive equivalent SPT values can be obtained.
The relationship between the CPT, represented by the tip resistance, qc' and the SPT, represented by the blow count
N, has been determined in a number of studies over the past 30 years eMeigh and Nixon, 1961; Thornbum, 1970;
Schmertmann, 1970; Burbidge, 1982; Robertson et aI., 1983; Burland and Burbidge, 1985). The relationship
between CPT and SPT is expressed in terms of the ratio q/N (kN/m2 per blows per 0.3 m); q/N data from available
literature is summarized on Figure 4.2 against the mean particle size of the soils tested.
4.5.5 Becker Penetration Test (BPT)
The Becker hammer drill was developed in 1958 in Alberta, Canada, initially for seismic oil explorations in difficult
gravel sites. The drill is now widely used in North America in mining explorations and in geotechnical investigations
for drilling, sampling and penetration testing in sand, gravel and boulder formations. The drill consists of driving a
specially designed double-walled casing into the ground with a double-acting diesel pile hammer and using an air
injection, reverse-circulation technique to remove the cuttings from the hole. The Becker drill system is more or less
'standardized', being manufactured by only one company, Drill Systems, in Calgary, Alberta. The hammer used in
the Becker system is an international Construction Equipment, Inc. (ICE) Model 180 double-acting atomized fuel
injection diesel pile hammer; with a manufacturer's rated energy of 11.0 kJ. The casings come in 2.4 m or 3.0 m
lengths and are available in three standard sizes: 140 mm O.D. by 83 mm I.D., 170 mm O.D. by 110 mm LD. and
230 mm O.D. by 150 mm ID. The main advantage of the Becker hammer drill is the ability to sample or penetrate
relatively coarse-grained soil deposits at a fast rate. More details of the hammer drill can be found in Anderson
(1968).
The Becker casing can be driven open-ended with a hardened drive bit for drilling and sampling, in which case
compressed air is forced down the annulus of the casing to flush the cuttings up the centre of the inner pipe to the
surface. The continuous cuttings or soil particles are collected at the ground surface via a cyclone which dissipates
the energy of the fast-moving air/soil stream. The drilling can be stopped at any depth and the open-ended casing
allows access to the bottom of the hole for tube sampling, standard penetration test or other in-situ tests, or for rock
coring. Undisturbed sampling or penetration testing conducted through the casing in saturated sand and silt may
not be reliable, since stoppage of drilling and air shutoff result in unequal hydrostatic conditions inside and outside
the casing, causing disturbance or "quicking" of the soil formation below the casing level. This is manifested in the
field by soil filling up the bottom section of the casing when drilling is stopped. On completion ofdrilling, the casing
is withdrawn by a puller system comprising two hydraulic jacks operating in parallel on tapered slips that grip the
casing and react against the ground.
The Becker casing can also be driven close-ended, without using compressed air, as a large-scale penetration test
to evaluate soil density and pile driveability. In this mode, commonly referred to as the Becker Penetration Test
(BPT), the driving resistances or blowcounts are recorded for each OJ m of penetration. Because of the larger
pipe (or sampler) diameter to particle size ratio, the BPT blowcounts have been considered more reliable than SPT
N-values in gravelly soils. As a result, numerous attempts have been carried out in the past to correlate the BPT
blowcounts to standard penetration test (SPT) N-values for foundation design and liquefaction assessment. Most of
these BPT-SPT correlations, however, have limited or local applications, since they. do not take into account two
important factors affecting the BPT blowcounts: variable hammer energy output and shaft resistance acting on the
Becker casing during driving.
Like all diesel hammers, the Becker hammer gives variable energy output depending on combustion conditions
and soil resistances. Harder and Seed (1986) have proposed a practical method using hammer bounce chamber
pressure measurements to correct the measured BPT blow counts to a reference "full combustion rating curve"
before correlating with corrected SPT N-values. The method is rig or hammer specific and requires a BPT -SPT
correlation be established for each drill rig. A more fundamental method of correcting BPT blowcounts based on
transferred energy is proposed by Sy and Campanella (1 992a). This energy method, however, requires measuring
force and acceleration near the top of the casing during the BPT, similar to dynamic monitoring of pile driving
48 Canadian Foundation Engineering Manual
(ASTM D4945-89).
The Becker Penetration Test also simulates the driving of a displacement pile and can be used for pile driveability
evaluations (SDS Drilling Ltd.; Morrison and Watts, 1985; Sy and Campanella, 1 992b).
4.5.6 Field Vane Test (FVT)
The field vane test is the most common method of in-situ determination of undrained shear strength of clays. The
vane is best suited for soft-to-firm clays; it should not be used in cohesion less soils.
The vane equipment consists of a vane blade, a set of rods, and a torque measuring apparatus. The vane blade
should have a height-to-diameter ratio of 2; typical dimensions are 100 by 50 mm. The effect of soil friction on the
measured torque should be eliminated or be measurable. The torque-measuring apparatus should permit accurate,
reproducible readings, preferably in the form of a torque-angular deformation curve. Specific details of the vane
shear test and equipment can be found in ASTM D2573. The vane may be rectangular or tapered.
The vane-test performance and interpretation are subject to some limitations or errors, which should be taken into
account when using the test results. The insertion of the vane blade produces a displacement and remolding of
the soil. Experience shows that thicker blades tend to produce reduced strengths. For acceptable results, the blade
thickness should not exceed 5 % of the vane diameter.
The failure mode around a vane is complex. The test interpretation is based on the simplified assumption of a
cylindrical failure surface corresponding to the periphery of the vane blade (Aas, 1965). The undrained shear
strength can be calculated from the measured torque, provided that the shear strengths on the horizontal and vertical
planes are assumed equal, by the following relation:
2T (4.4)
-3(H /D+a/2)
reD
where
Su undrainedshear strength
T maximum applied torque
H =- vane height
D = vane diameter
a factor which is a function of the assumed shear distribution along the top and bottom of the failure
cylinder
a = 0.66 if uniform shear is assumed (usual assumption)
a = 0.50 if triangular distribution is assumed (i.e., shear strength mobilized is proportional to strain)
a 0.60 if parabolic distribution is assumed
For the assumption of a = 0.66, which is the usual assumption, and a vane height to vane diameter ratio of 2.0, the
above equation becomes: .
T
s = ~ :
II 3.66D3
(4.5)
The above equations are for a rectangular vane. For a tapered vane refer to the ASTM D2573, and for a vane with a
45 degree taper, HID = 2.0, a = 0.66, and vane rod diameter d, the undrained shear strength is given by the following
relation:
(4.6)
Site Investigations 49
The vane shear test actually measures a weighted average of the shear strength on vertical and horizontal planes. It
is possible to determine the horizontal and vertical either plane by the test in similar
soil conditions using vanes of different shapes or helght/dlameter ratlOs. It has been found that, In general, the ratlo
of horizontal/vertical shear strength is less than unity and when this is applicable, the field vane value of su' is a
conservative estimate of the shear strength along the vertical plane. Becker et al. (1988) provide an interpretation
where vane strength is essentially controlled by horizontal stresses on the vertical plane.
III 100
!
1/
<\j
IO-NC-
oc
I V
I /'
V
,.../
I
Ci:
80
,;:
CD
60
."
..9
>.
40
;!:!
.2
...,
20
!Xl
CD
p;
0
1.2 1---+--+--+-+--+-+--1--.--1----1
i.o J---t-.r+--I-+---I----i-__I,---r---+----l
0.2 '---'----'----l_.l.-.......L...--L---"_...L--L---l
l.4r---...,--,----r-.,.---.---,..---,,--,--,---,
J-L 0.8
0.6 J---+--I---I-""'-o+::--F""'I--",.....--
0.6 J---...,J--...,......,J----'J---J--__I=-__I
0.4
20 40 60 80 100 120 0 0.2 M 0.6 0.8 1.0
Plasticity Index
(a)
(b)
FIGURE 4.3 Vane correction/actor (after (a) Bjerrum, 1972, and (b) Aas, et al., 1986)
The measured field vane shear strength may require a correction and Bjerrum (1972, 1973) proposed a correction
factor, Jl, which relates the corrected vane strength, (s)COIT' to the field vane shear strength, (S)field' as follows:
(s)COIT Jl (s)field
(4.7)
where Jl varies with plasticity index as shown on Figure 4.3(a). Aas et aL (1986) undertook a substantial re-
evaluation of the Bjerrum chart to include overconsolidation ratio (OCR) and aging to produce a revised chart,
Figure 4.3(b) where Jl is given as a function of the ratio (s)field,lcr
v
', and cr
v
' is the effective overburden pressure.
Figure 4.3(b) is used by entering the top chart with PI and (s)field,! cr ' to establish whether the clay is within the
v
normally consolidated (NC) range between the limits 'young' and 'aged', or overconsolidated (OC). The bottom
chart of Figure 4.3(b) is then used to obtain, Jl for the ratio (s)field,! cr
v
' and the corresponding NC or OC curve. Aas
et al. recommend a maximum design value for Jl of 1.0 for (s)field,! cr; less than 0.20 since Jl is rather sensitive for
low values of (s)field,! cry'. Refer to Aas et aL (1986) for further details.
Although the correction for plasticity index is used by many practitioners, Leroueil et aL (1990) and Leroueil (200 I)
provide information that this correction may not be necessary for soft clays. The vane shear value can also be used
to estimate the OCR (Mayne and Mitchell, 1988).
The vane shear strength is usually plotted against depth to provide a strength profile. It is a good practice to carry
out, in parallel with vane tests, other in-situ tests such as static cone, or piezocone-penetration tests, which yield
continuous profiles and to correlate these results with the vane test values. ASTM STP 1014 (1988) contains papers
50 Canadian Foundation Engineering Manual
on the testing and interpretation of vane shear tests.
4.5.7 Pressuremeter Tests (PMT)
4.5.7.1 Introduction
Pressuremeters are used to measure the in-situ defonnation (compressibility) and strength properties ofa wide variety
of soil types, weathered rock, and low to moderate strength of intact rock. Two major types of pressuremeters have
been developed which are cunentiy in use in Canada; the pre-bored pressuremeter and the self-boring pressuremeter.
The Menard-type pressuremeter is a well-known type of pre-bored pressuremeter. Each type of pressuremeter has
advantages and limitations largely governed by the type of material to be tested and the method of geotechnical
analysis to be canied out. All types ofpressuremeter tests are sensitive to the method ofprobe installation and testing,
and highly trained staff who possess a thorough understanding of the equipment and test procedures are required to
obtain reliable results. Pressuremeter testing is generally canied out by specialized drilling and/or testing contractors
although some engineering consultants and public agencies have their own equipment and trained personnel.
The pressuremeter test was first developed by Louis Menard in 1956. The Menard-type pressuremeter test procedure
basically consists of horizontal expansion of a membrane mounted on a relatively long probe placed in a slightly
oversized, pre-bored hole. Lateral displacement of the membrane and borehole wall is achieved by injecting either
liquid or gas into the probe at selected pressure increments. Displacements are measured either in tenus of the
volume ofliquid injected into the probe or more directly by callipers or displacement transducers for the gas inflated
systems. Pressures are measured either with a surface gauge or pressure transducer in the probe. The pressuremeter
test allows the detenuination of the load-defonnation characteristics of the tested soil.
The Menard-type tests are sensitive to the degree of soil disturbance caused by drilling the borehole. In order to
minimize the soil disturbance, the self-boring pressuremeter was developed independently in France (Baguelin et
aI., 1972) and in England (Wroth and Hughes, 1973). The principles of the test are similar to the Menard-type test,
however, a small rotating cutting head is located in the tip ofthe probe. The probe is advanced by pushing the probe
into the soil.
Displaced soil enters the cutting head where it is removed using water or a bentonite slurry pumped through a
double rod assembly. Self-boring pressuremeters can be equipped with a pore-pressure transducer mounted on the
exterior of the probe. The membrane is inflated using either liquid or gas in a manner similar to the Menard-type
pressuremeter. Similarly, lateral displacements of the borehole wall during the test can be measured either by the
volume of injected liquid, or more commonly, with displacement transducers, and the test pressures are measured
with a surface gauge or pressure transducers located in the probe.
Relatively small, full displacement pressuremeters have also been combined with static cone penetrometers (Hughes
and Robertson, 1985; and Withers et aI., 1986) in order to provide a multipurpose tool for site investigations.
4.5.7.2 Menard-Type Pressuremeter Tests
The following discussion will deal with pressuremeters of the Menard design because they are the most common in
engineering practice today. This discussion may not be entirely applicable to other pressuremeter designs.
Equipment
The standard Menard pressuremeter consists ofa probe connected to a pressure-volume control unit with stiff tubing.
Probes are generally available in three diameters consistent with commonly utilized drill hole sizes (A, Band N).
The probe consists of a metal cylinder covered with an inflatable membrane and protective sheath comprised of
a series of metal strips. The probe is separated into three independent cells; the two end cells are guard cells used
to reduce end effects on the middle cell to produce predominantly radial strains in the soil interval tested. Lateral
displacements are measured only in the middle cell. All cells are nonnally filled with water or antifreeze although
some systems use gas to inflate the guard cells. Pressure is applied to the fluid in a series of increments by a gas
Site Investigations 51
control system acting on a reservoir in the control unit. Volume changes in the reservoir are measured by graduated
transparent tubes on the control unit. A more complete description of the Menard system is presented in Baguelin
et al. (1978).
Other pressuremeter probes without the two end cells have been introduced. The test results from such probes may
need to be corrected before use in common pressuremeter design methods.
Borehole Preparation
It is extremely important to minimize disturbance of the borehole wall during the drilling process. Appropriate
drilling procedures are described by Baguelin et aI. (1978). Normal drilling and sampling techniques are generally
intended to minimize disturbance of the collected samples and may not be suitable for pressuremeter testing.
Drilling methods should be selected to prevent collapse of the borehole wall, minimize erosion of the soil, and
prevent softening of the soil (Finn et aI., 1984). When pressuremeter tests are conducted in a soil type where limited
local experience in pressuremeter testing is available, several methods of drilling should be evaluated to determine
the optimum method. General guidance regarding the initial selection of drilling methods for various soil types is
presented in Table 4.6.
Test Procedure
Typically, Menard-type pressuremetertests are carried out as stress controlled tests by applying a series of increasing
pressure increments. The maximum pressure expected during the test should be divided into a minimum often equal
pressure increments. Each pressure increment is maintained for a one minute period with volume or radial strain
measurements recorded at intervals of 15, 30, and 60 seconds. All pressure increments should be maintained for
the same time period. Tests are generally considered to be complete when the volume of the liquid injected during
the test is equal to the initial volume of the borehole. In hard .soils and rocks it may not be possible to inject this
volume and the test is terminated at the maximum pressure for the system. If the sides of the borehole are enlarged
excessively either by improper sizing of the drilling equipment or erosion of the borehole wall, the maximum
inflation volume of the probe may be reached prior to injection of the required volume.
TABLE 4.6 Methods 0/Borehole Preparation/or Menard-type Pressuremeter Tests
Soil Type Drilling Methods
Finn to Stiff Clay Pushed tube with internal camfer
! Pushed or driven tube with internal camfer
Stiff to Hard Clay . Core drilling with mud or possibly foam flush
Continuous flight auger
Silt
! Pushed or driven tube with internal camfer
Core drilling with mud or possibly foam flush (very stiff to hard silts)
Sand
Gravel
Pushed or driven tube with internal camfer (with mud below the water table)
Core drilling with mud flush (dense to very dense sands)
~
Very difficult to avoid disturbance. A driven slotted casing is sometimes used, however
disturbance is significant due to lateral displacement of the soil
Glacial Till
Weak or Weathered Rock
Sound Rock
Core drilling with mud (very dense finer grained tills with high silt and/or clay content)
Driven thick-walled tube with internal camfer (medium dense to dense finer grained
tills as above)
Driven slotted casing (applicable only to medium dense tills - very high soil
disturbance)
Core drilling with mud or possibly foam flush
Core drilling with water, mud or foam flush
-
52 Canadian Foundation Engineering Manual
Strain controlled tests are possible for instruments which measure displacements of the borehole wall directly with
either callipers or transducers. Computer controlled load application greatly simplifies the test procedure; however,
the availability of the equipment is limited. Strain rate selection is important for clays, particularly in the plastic
stress range (Anderson, 1979; Windle and Wroth, 1977).
Test Interpretation
The results ofa standard Menard-type pressuremeter test corrected for volume and membrane resistance are shown in
Figure 4.4 as the Pressuremeter Curve. The pressure must be corrected for the hydrostatic pressure in the measuring
circuit above the water table. In the first stage ofthe test, the volume increases rapidly with small changes in pressure
as the probe is inflated against the soil. The volume at the point where the curve becomes approximately linear is
termed v
o
' which is equal to the difference between the volume of the hole and the initial volume of the probe. The
corresponding pressure at this point is called Po; however, this pressure does not represent the true in-situ pressure
in the ground because of stress relief during the formation of the hole. At higher pressures the volume increases
slowly with pressure. The creep volume change in this pressure range is small and approximately constant, which
indicates pseudo-elastic behaviour of the soil. The slope of the volume - pressure curve in this range is related to the
shear modulus of the soil as discussed below. The pressure corresponding to the end of the constant creep volume
measurements is called the creep pressure Pr At higher pressures the volume and the creep volume increase rapidly
indicating the development of soil failure around the probe. The pressure - volume curve tends to an asymptotic
limit corresponding to the limit pressure PI'
The theoretical basis for the pressuremeter test is the radial expansion of a cavity in an infinite elastic medium
which was developed first by Lame (1852). Details of the cavity expansion theory are presented in Baguelin et al.
(1978) and Mair and Wood (1987). The equation for the radial expansion of a cylindrical cavity in an infinite elastic
medium is:
(4.8)
where
G the shear modulus
V the volume of the cavity
p pressure in the cavity
The pressuremeter test produces only shear stresses in the soil; no compressive stresses are involved although
the test would appear to be entirely compressive. The modulus value calculated from the pressuremeter test is,
therefore, a shear modulus (G
M
). While the slope of the pressuremeter curve, b.p/b.V is constant from Vo to vf' the
volume V is not. Therefore, the shear modulus G is dependent on the volume of the cavity selected, which for the
pressuremeter test is, by convention, selected at the midpoint ofthe pseudo - elastic portion of the pressure - volume
curves (Figure 4.4). The corresponding shear modulus is defined as G • The shear modulus is calculated using the
M
equation:
G
m
= (ve + Vm ) (p/v)
(4.9)
where Vc the initial volume of the probe prior to infiation
v
m
(vo + vr )/2 (Figure 4.4)
plv
(Pr-Po)/(vr-v
o
)
The term plv is the slope of the pressure - volume line in the pseudo-elastic range
The test results are most often presented in terms of an equivalent Young's modulus (E) assuming an isotropic
elastic soil using the equation:
E = 2G (1 + v)
(4.10)
v
Site Investigations 53
where
Poisson's ratio
The standard Menard approach is to assume a Poisson's ratio of 0.33 and the resulting modulus is called the Menard
modulus (EM) where
(4.11 )
When the previous equation for (G
M
) is substituted, then the Menard modulus (E:v) is given by:
EM 2.66(vc + vm) (p/v) (4.12)
Other values of Poisson's ratio may be more appropriate depending on the soil or rock type and the drainage
conditions, i.e., fine grained vs. coarse-grained soil and undrained vs. drained loading. General guidance on the
selection of appropriate Poisson's ratios is presented in Mair and Wood (1987).
Similar interpretation techniques are used for tests which have been cyclically unloaded and reloaded. A shear
modulus can be calculated for either portion of the load cycle. The volume vm used in the calculation is the average
volume over the load cycle. The shear modulus computed from the cyclic portion of pressuremeter tests is generally
considered to be representative of the "elastic" stiffness of the soil provided the strains are small (Wroth, 1982).
Shear modulus is sensitive to effective stress and strain level and the use ofthe test results in design should consider
these factors.
The Menard limit pressure is defined as that pressure at which the volume is equal to twice the initial volume ofthe
hole, that is 2(vo + vJ Various methods are available to determine the limit pressure, as described by Baguelin et
aI, (1978). In cases where the borehole is oversized or the oversized or the soil shear strength is very high, the limit
pressure may not be attainable during the test. In these cases the limit pressure may be estimated from the creep
pressure (Pr) using the following empirical relationship:
0.5< Prl PI < 0.75 (4.13)
The ratio of the pressuremeter modulus to the limit pressure tends to be a constant characteristic of any given soil
type. Typical values are shown in Table 4.7.
TABLE 4.7 Typical Menard Pressuremeter Values
Type Of Soil
Soft clay
Firm clay
Stiff clay
Loose silty sand
Silt
Sand and gravel
Till
Old fill
Recent fill
50-300
300 800
600 - 2500
100 - 500
200 - 1500
1200 - 5000
1000 - 5000
400 1000
50 - 300
10
10
15
5
8
7
8
12
12
54 Canadian Foundation Engineering Manual
70
60
50
Z 500
o
-
600
I
I
I
I
I
I
/0 \ >- o
«
40
::;; 400 o I -
co: >
PRESSUREMETER/ I
<l o
,
:.::; CURVE 0 I
30 ,"-
UJ
UJ
Cl 300
u 0 I
"" U
:: Vf --.
/'
Z. :
I
20
200 __ !/'
10
! I I
I I III I
o 1I-_.r:.:::=J-t:,.. -::-=:Je:.:-::-=z.-=::-::.z.- 0
o 100 200 :300 400 SOO 600 700 800 900 1000 1100
Po P
f
P,
PRESSU RE, kPa
FIGURE 4.4 Typical pressuremeter and creep curves - Menard type pressuremeter
Use of Menard-Type Pressuremeter in Foundation Design
In France the Menard-type pressuremeter test results have been empirically correlated to foundation design and
perfoDnance for many soil types. If these design methodologies are used, the tests must be carried out in accordance
with standardized test procedures. Foundation designs must be limited to soil conditions similar to those used to
, develop the empirical correlations ..
The pressuremeter test is a useful tool for investigation of firm to hard clay, silt, sand, glacial till, weathered rock,
and low to moderate strength intact rock. The test can also be used for frozen soil and soil containing gas in the
pores. The Menard-type pressuremeter is not recommended for general use in clean gravelly sailor soft clay.
4.5.7.3 Self-Boring Pressuremeter Test (SBPMT)
In an effort to minimize soil disturbance in relatively soft soils, the self-boring pressuremeter test (SBPMT) was
developed (Baguelin et aI., 1972; Wroth and Hughes, 1973).
The sell-boring pressuremeter is similar to a Menard-type pressuremeter as it consists essentially of a thick-wall
tube with a flexible membrane attached to the outside. The instrument is pushed into the ground and the soil
displaced by a sharp cutting shoe is removed up the centre of the instrument by the action of a rotating cutter or
jetting device just inside the shoe of the instrument. The cuttings are flushed to the surface by drill mud, which is
pumped down to the cutting head.
Once the instrument is at the desired depth, and following the dissipation of excess pore-water pressure, the
membrane surrounding the instrument is expanded against the soil. The expansion at the centre of the instrument
is measured by displacement transducers. Pore pressure cells can be incorporated into the membrane to monitor
changes in pore-water pressures.
The self-boring pressuremeter can be installed into relatively soft soils and the test results can be interpreted using
analytical methods. A summary of the methods of interpretation is presented in Mair and Wood (1987).
Site Investigations 55
The Menard-type pressuremeter test and the self-boring pressuremeter test should considered as two distinct
and separate tests. The Menard-type pressuremeter test is usually interpreted using empirical correlations related to
specific design rules. In very stiff soils or rocks, where a pre-bored hole can be made with o ~ y elastic unloading of
the soil, the Menard type pressuremeter data can be analysed from a more fimdamental baSls.
4.5.8 Dilatometer Test (DMT)
The flat plate dilatometer test is used in certain regions of NOlth America (Marchetti, 1980) for foundation design.
The tool can be classified as a logging tool that is easy to use and provides a range of empirically predicted soil
parameters.
Detailed requirements for equipment, test procedure, accuracy of measurements and presentation of test results
were recommended by ASTM Subcommittee D.18.02 (Schmertmann, 1986).
A good review ofthe dilatometer test is provided by lamiolkowski et al. (1985) and Robertson (1986). An overview
of the dilatometer test and interpretation of in-situ test results is given by Lunne et al. (1989). Details of equipment
developments are presented by Mitchell (1988).
The flat plate dilatometer is 14 mm thick by 95 mm wide, with a flexible steel membrane 60 mm in diameter
on the face of the blade. The pressure for lift-off of the diaphragm, the pressure required to deflect the centre of
the diaphragm 1 mm into the soil, and the pressure at which the diaphragm returns to its initial position (closing
pressure) are recorded at each depth. Readings are made every 200 mm in depth and the dilatometer, which has
a sharpened blade, is advanced at a constant rate of 20 mm/s, with a cone penetrometer rig or similar pushing
apparatus. Correlations have been developed between dilatometer readings and soil type, earth pressure at rest,
overconsolidation ratio, undrained shear strength, and constrained modulus. However, correlations should be used
with .caution and verified by local experience before use in any specific case.
4.5.9 The Plate-Load and Screw-Plate Tests
Plate-load tests have been a traditional in-situ method for estimating the bearing capacity of foundations on soil, and
for obtaining the soil modulus for the purpose of estimating the settlement of foundations on soil or rock. Plate-load
tests involve measuring the applied load and penetration of a plate being pushed into a soil or rock mass. The test is
most commonly carried out in shallow pits or trenches but is also undertaken at depth in the bottom of a borehole,
pit or adit. In soils, the test is carried out to determine the shear strength and deformation characteristics of the
material beneath the loaded plate. The ultimate load is not often attainable in rock where the test is primarily used
to determine the deformation characteristics.
[ The test is usually carried out either as a series of maintained loads of increasing magnitude or at a constant rate
of penetration. In the former, the ground is allowed to consolidate under each load before a further increment
is applied; this will yield the drained deformation characteristics and also strength characteristics if the test is
continued to failure. In the latter, the rate of penetration is generally such that little or no drainage occurs, and the
test gives the corresponding undrained deformation and strength characteristics. The degree of drainage is governed
by the size of the plate, the rate of testing, and the soil type. !
The results of a single plate-load test apply only to the ground which is significantly stressed by the plate and this is
typically a depth of about one and a half times the diameter or width of the plate. The depth of ground stressed by a
structural foundation will, in general, be much greater than that stressed by the plate-load test and, for this reason,
the results of loading tests carried out at a single elevation do not normally give a direct indication of the allowable
bearing capacity and settlement characteristics of the full-scale structural foundation. To determine the variation of
ground properties with depth, it will generally be necessary to carry out a series of plate tests at different depths.
These should be carried out such that each test subjects the ground to the same effective stress level it would receive
at working load. Because of the difficulty in undertaking a series of tests at different depths, screw-plate tests which
are described later, may be considered.
56 Canadian Foundation Engineering Manual
One of main limitations of the plate-load test lies in the possibility of ground disturbance during the excavation to
gain access to the test position. Excavation causes an unavoidable change in the ground stresses, which may result
in ilTeversible changes to the properties which the test is intended to study.
For example, in stiff fissured over- consolidated clay, some swelling and expansion of the clay due to opening of
fissures and other discontinuities will inevitably occur during the setting-up process, and can considerably reduce
the values of the deformation moduli.
- In spite ofthis effect, the moduli determined from plate-load tests may be more reliable and often many times higher
than those obtained from standard laboratory tests. In a project that involves a large deep excavation, the excavation
may cause disturbance to the ground beneath, with a consequent effect on the deformation characteristics. In such a
case, it will be necessary to allow for this unavoidable disturbance when interpreting the results of loading tests.
(' Plate-load testing procedures are described in ASTM D-1194-72, (1987) and British Standards Institution Code
. of Practice, BS 5930 (1981). It is recommended that dial gauges, reading to an accuracy of 0.02 mm, be used for
deformation measurements. Interpretation of the test results are given in BS 5930 (1981) and Navfac DM 7.01,
(1986).1\
It may not be possible or practical to perform plate-load tests at depth in the soil. An alternative method developed
in Europe is the screw-plate test, which uses a flat-pitch auger device that can be screwed to the desired depth in the
soil and loaded in a similar manner to a plate-load test. The horizontally projected area over the single 360
0
auger
flight is taken as the loading-plate area.
A variety of loading procedures for the screw-plate test can be applied depending on the soil type and data required.
Constant rate ofload or deformation can be applied and load versus deformation plotted to obtain the modulus and
strength of the soil. Some success has been reported (Janbu and Senneset, 1973) in obtaining consolidation data
from the screw-plate test. It may also be possible to estimate the pre consolidation pressure in a sand deposit from
the test (Dahlberg, 1974).
Plate-load tests and screw-plate load tests are only a part of the necessary procedure for soil investigation for
foundation design, and should be undertaken in conjunction with other methods. These tests should be calTied out
under the direction of experts thoroughly conversant with foundation investigations and design.
4.6 Boring and Sampling
The properties of soils can be detennined from laboratory tests on samples recovered from boreholes. The quality
of the samples depends mainly on the boring method, the sampling equipment, and the procedures used to retrieve
them.
4.6.1 Boring
Many different methods may be used to advance a borehole in soils. The more common boring methods are
summarized in Table 4.8, which has been adapted from Navfac DM 7.01 (1986). The method of advancing a casing
and washing the inside with water (washboring) is one of the most commonly used in Canada. It results in a good
quality borehole, provided the washing is done properly, i.e., using a limited water pressure and washing to, but
never beyond, the bottom of the casing. In loose sands and silts, material may rise up in the casing during washing;
bentonite mud should be used instead of water in such cases. Auger boring, including hollow stem auguring, and
rotary drilling are also commonly used methods of drilling boreholes in Canada.
4.6.2 Test Pits
Test pits excavated by a backhoe can often provide valuable information on soil characteristics at shallow depth.
Care should be exercised in excavating such pits, especially in loose sands, soft clays, or close to the water table.
General comments on test pits and test trenches are summarized in Table 4.9, which has been adapted from Navfac
DM 7.01 (1986).
Site Investigations 57
4.6.3 Sampling
For the purpose of this Manual, four classes of samples based on degree of disturbance have been defined as listed
in Table 4.10. Mechanical properties, which serve as bases for the design of foundations, can be measured only on
samples of Class 1. Such samples should usually be retrieved for the design of foundations on clays. Problem soils,
as referred to in Chapter 5, may require special sampling procedures as indicated therein.
Common samplers for disturbed and undisturbed soil samples and disturbed rock cores are summarized in Tables
4.11 and 4.12, both have been adapted from Navfac DM 7.01 (1986).
TABLE 4.8 Types ofBorings
Boring
Method
Auger Boring
Hollow-Stem
Flight Auger
Wash-Type·
Boring
Rotary
Drilling
Percussion
Drilling'
(Churn
drilling)
Rock Core
Drilling
Procedure Utilized
Hand or power op'erated augering with
periodic removal of material. In some cases
continuous auger may be used requiring
only one withdrawal. Changes indicated by
examination of material removed. Casing
generally not used.
Power operated. Hollow stem serves as a
casing.
Chopping, twisting, and jetting action of a
light bit as circulating drilling fluid removes
cuttings. Changes indicated by rate of
progress, action of rods, and examination of
cuttings in drill fluid. Casing may be needed
to prevent caving.
Power rotation of drilling bit as circulating
fluid removes cuttings from hole. Changes
indicated by rate of progress, action of
drilling tools, and examination of cuttings in
drilling fluid. Casing usually not required
except near surface.
Power chopping with limited amount of
water at bottom of hole. Water becomes
a slurry that is periodically removed with
bailer or sand pump. Changes indicated
by rate of progress, action of drilling tools,
and composition of slurry removed. Casing
required except in stable rock.
Power rotation of a core barrel as
circulating water removes ground-up
material from hole. Water also acts as
coolant for core barrel bit. Generally hole
is cased to rock.
Appli cability
Ordinarily used for shallow explorations above water table
in partly saturated sands and silts, and soft to stiff cohesive
soils. Can clean out hole between drive samples. Fast when
power-driven. Large diameter bucket auger permits hole
examination. Hole collapses in soft and sandy soils below
. water table.
Access for sampling (disturbed or undisturbed) or coring
through hollow stem. Should not be used with plug in
granular soil. Not suitable for undisturbed sampling in sand
and silt below groundwater table.
Used in sands, sand and gravel without boulders, and soft to
hard cohesive soils. Usually can be adapted for inaccessible
locations, such as on water, in swamps, on slopes, or within
buildings. Difficult to obtain undisturbed samples.
Applicable to all soils except those containing large gravel,
cobbles, and boulders (where it may be combined with
coring). Difficult to determine changes accurately in some
soils. Not practical in inaccessible locations for heavy
truck-mounted equipment (track-mounted equipment is
available). Soil and rock samples usually limited to 150
mm diameter.
Not preferred for ordinary exploration or where undisturbed
samples are required because of difficulty in determining
strata changes, disturbance. caused below chopping bit,
difficulty ofaccess, and usually higher cost. Sometimes used
in combination with auger or wash borings for penetration
of coarse gravel, boulders, and rock formations. Could be
useful to probe cavities and weakness in rock by changes
in drill rate.
Used alone and in combination with other types of boring
to drill weathered rocks, bedrock, and boulder formations.
58 Canadian Foundation Engineering Manual
TABLE 4.8 Types ofBorings (continued)
Boring
Applicability ,
Method
Rotarytypedrillingmethod,where coring
deviceis an integralpartofthedrill rod
stringwhichalso servesas acasing. Core
Wire-Line Efficientfordeepholecoringover30monlandand
Drilling
samplesobtainedbyremovinginnerbarrel
offshorecoringandsampling.
the drillrod. Theinnerbarrelis releasedby
aretrieverloweredbyawire-linethrough
drillingrod.
assemblyfromthecorebarrelportionof
TABLE 4.9 Use, Capabilities and Limitations of Test Pits and Trenches
Exploration Method General Use
Hand-ExcavatedTest
Pitsand Shafts
Bulksampling,in-
situtesting,visual
inspection.
.Bulksampling, in-
situtesting,visual
BackhoeExcavated generallylessthan5m limitedto depthsabove
inspection,excavation
TestPitsandTrenches .deep, canbeupto groundwaterlevel,limited
rates,depthof bedrock
10mdeep. undisturbedsampling.
andgroundwater. '
IE "'-.- ....---
. 1· qUlpmentaccesscanbe
F t . . as ,moreeconomlCa .
Pre-excavationforpiles · dIfficult. UndIsturbedsamples
thanhandexcavatIOn.
and shafts,landslide
D
· t typo II andblocksamplescanbe
DrilledShafts lameers lca y ..
investigations,drainage obtaInedWIth someeffort
range
f
rom
760
mm
t
0 Sl d ' 1" . .
wells.
2.0m. . otte ,casIng ImltsVIsual
InSpectIOn.
Bedrockcharacteristics,
depthofbedrockand
groundwaterlevel,
Relativelylowcost,
rippability,increase
Explorationlimitedtodepth
DozerCuts
exposuresforgeologic
depthcapabilityof
abovegroundwaterlevel.
Capabilities Limitations '
Providesdatain
inaccessible areas,
IE' ,
xpensIve,hme-consuming,
lessmechanical limitedtodepthsabove
disturbanceof groundwaterlevel.
surroundingground.
Fast, economical, •Equipmentaccess,generally
backhoes,levelarea
•forotherexploration
equipment.
mapping.
TrenchesforFault
Investigations
Evaluationofpresence
andactivityoffaulting
and sometimeslandslide
features.
Definitivelocationof
faulting, subsurface
observationupto
10m.
Costly,time-consuming,requires
shoring,onlyusefulwhere
dateablematerialsarepresent,
depthlimitedtozoneabove
groundwaterlevel.
Site Investigations 59
TABLE 4.10 Classification ofSoil Samples
Undisturbed
2
Slightly
disturbed
3
Substantially
disturbed
4 Disturbed
A- Blocksamples
B- Stationarypistonsampler
Openthin-walledtube sampler
Openthick-walledtubesampler,suchas
a 'splitspoon'
Randomsamplescollectedbyaugeror
inpits
A,B,C,D,E,F,G,H,I,J,K
. A,B,C,D,E,F,G,H,I,J,K
A,B,C,D,E,G,H,I
A,B,C,D,E,G
A,C,D,E,G
1,2,and4
•3
3
5
A- Stratigraphy B- Stratification C- Organiccontent
D- Grainsize distribution E- Atterberglimits F- DensityIndex
G Watercontent H- UnitWeight I Permeability
J Compressibility K- Shearstrength
Notes
1. Blocksamplesare bestwhen dealingwith sensitive, varved, orfissured clays. Whereverpossible,block
samplesshouldbetakenin suchsoils.
2. SamplesofClass I arebeststoredinaverticalpositioninaroomwithconstanthumidityandataconstant
temperature. Therelativehumidityshouldnotbeless than80%.
3. Testingshouldoccurasquicklyaspossibleaftersampling. Wheneverpossible,testingshouldbeperformed
immediatelyafterextrusion.
4. Becauseofinevitables.tressrelief,samplesof allclassesmaybedisturbed. Thedisturbancedependsonthe
consistencyofthesampledsoilandincreaseswithdepthofsampling.
S. Water-contentsamplesshouldbetakenfromfreshlycutfacesofapitasthepitisadvanced. Smalldiameter
spiralaugersaresuitable for obtainingwater-contentsamplesofcohesive soils,ifcareistakento remove
freewaterfromthesample,aswellas allsoilscrapedfromupperlayersinthewallof theborehole. Water-
contentsamplesshouldbeplacedimmediatelyinairtightcontainerstopreventevaporation.
TABLE 4.11
Dimensions
50mmOD
35mmID
is standard.
Penetrometer
SplitBarrel
sizesup to 100
mmOD-89mm
ID available.
Common Samplers for Disturbed Soil Samples and Rock Cores
Best results in soil
or rock types
Allfine-grainedsoils
in whichsamplercan
be driven. Gravels
invalidatedrivedata.
Methods of
penetration
Hammer
driven.
Causes of
disturbance or
low recovery
Vibration.
Remarks
SPTis madeusing
standardpenetrometer
with63.56kg
hammerfalling 762
mm. Undisturbed
samplesoftentaken
withliners. Some
sampledisturbanceis
likely.
60 Canadian Foundation Engineering Manual
TABLE 4.11 Common Samplers/or Disturbed Soil Samples and Rock Cores (continued)
Causes of
Methods of
Dimensions
disturbance or Remarks
penetration
low recovery
25 mm OD tubes
150 mm long.
Retractable Maximum of F or silts, clays, fine
Plug six tubes can be and loose sands.
Hammer
filled in single
penetration.
Augers:
75 mm to 406 For most soils above
Continuous mm diameter. water table. Will not
Helical Can penetrate to penetrate hard soils
Flight depths in excess or those containing
driven.
Rotation.
Improper soil
types for sampler.
Vibration.
Hard soils,
cobbles, boulders.
Light weight, highly
portable units can be
hand carried to job.
Sample disturbance is
likely.
Rapid method of
determining soil
profile. Bag samples
can be obtained. Log
and sample depths
must account for lag
I sample at surface.
Hollow
Stem
Generally 150
mm to 200 mm
ODwith 75 mm
to 100 mm ID
Same as bucket. Rotation.
Soil too hard to
penetrate.
A special type of
flight auger with
hollow centre through
which undisturbed
of 15 m. cobbles or boulders. between penetration
of bit and arrival of
Disc
hollow stem.
I
Up to 1067 mm
diameter
Bucket
Up to 1220
i mm diameter
common. Larger
available. With
extensions, depths
i greater than 25 m
are possible.
Standard sizes
samples or SPT cal).
be taken.
Rapid method of
Hard soils, determining soil
Same as flight auger. Rotation.
cobbles, boulders. profile. Bag samples
can be obtained.
For most soils above
water table. Can Several types of
dig harder soil than buckets available,
above types, and including those with
Soil too hard to
can penetrate soils Rotation. ripper teeth and
dig.
with cobbles. and chopping buckets.
small boulders when Progress is slow when
equipped with a rock extensions are used.
bucket.
38 mm to 75
Diamond mm OD,22 mm
Core to 54 mm core.
Barrels Barrel lengths 1.5
m to 3.0 m for
exploration.
Hard rock. All barrels
can be fitted with
Rotation.
insert bits for coring
soft rock or hard soiL
!
Site Investigations 61
TABLE 4.11 Common Samplers for Disturbed Soil Samples and Rock Cores (continued)
Single
Tube
Primarily for strong,
sound and uniform
rock.
Fractured rock.
Rock too soft.
Dlill fluid must
circulate around core
rock must not be
subject to erosion.
Single tube not often
used for exploration.
Double
Tube
Non-uniform,
fractured friable and
soft rock.
Improper rotation
or feed rate in
fractured or soft
rock.
Has inner barrel or
swivel which does not
rotate with outer tube.
For soft, erodible
rock. Best with
bottom discharge bit.
Triple Tube Same as Double Tube.
Same as Double
Tube.
Differs from Double
tube by having an
additional inner split
tube liner. Intensely
fractured rock core
best preserved in this
barrel.
TABLE 4.12 Common Samplers for Undisturbed Samples
Method of Causes of
Dimensions Remarks
penetration disturbance
Shelby
Tube
75 mm OD
73 mm ID
most common.
Available from
50 mm to 127 mm
. OD. 762 mm
sample length is
standard.
For cohesive
fine-grained
or soft soils.
Gravelly soils
• will crimp the
tube.
Pressing with
fast, smooth
stroke. Can
be carefully
hammered.
Erratic pressure
applied during
sampling,
hammering, gravel
particles crimping ,
• tube edge, improper
soil types for
sampler.
Simplest sampler for
undisturbed samples.
Boring should be clean
before lowering sampler.
. Little waste area in
sampler. Not suitable for
hard, dense or gravelly
soils.
Stationary
Piston
75 mm OD
most common.
Available from 50
mm to 127 mm
OD. 726mm
sample length is
For soft to
medium clays
and fine silts.
Not for sandy
soils.
i
Pressing with
continuous,
steady stroke.
Erratic. pressure
during sampling,
allowing piston
rod to move during
press. Improper
soil types for
sampler.
Piston at end of sampler
prevents entry of fluid
and contaminating
material. Requires heavy
drill rig with hydraulic
drill head. Generally less
disturbed samples than
Shelby. Not suitable for
hard, dense or gravelly
l soil.
62 Canadian Foundation Engineering Manual
TABLE 4.12 Common Samplers/or Undisturbed Samples (continued)
Remarks
Hydraulic
Piston
(Osterberg)
Denison
75 mmOD
most common
available from
50 mm to 100
mm OD, 914 mm
sample length.
Samplers from 89
mm OD to 197
mm OD. (60.3
mm to 160mm
size samples.) 60
mm sample length
F or silts-clays
and some
sandy soils.
Can be used
for stiff to
hard clay, silt
and sands
with some
cementation,
Hydraulic or
compressed air
pressure.
Rotation and
hydraulic
pressure.
Inadequate
clamping of
drill rods, en-atic
pressure.
Improperly
operating sampler.
Poor drilling
procedures.
Needs only standard drill
rods. Requires adequate
hydraulic or air capacity
to activate sampler.
Generally less disturbed
samples than Shelby.
Not suitable for hard,
dense or gravelly soil.
Inner tube face projects
beyond outer tube
which rotates. Amount
of proj ection can be
adjusted. Generally
takes good samples: Not
suitable for loose sands
is standard. soft rock.
and soft clays.
Sampler 105 mm Differs from Denison in
Pitcher
Sampler
OD, uses 75 mm
: Same as
Shelby Tubes.
610 mm sample
Denison.
Same as
Denison.
Same as Denison.
that inner tube projection
is spring controlled.
Often ineffective in
length. cohesionless soils.
Highest quality
Hand cut
block or
cylindrical
sample.
undisturbed
Sample cut by
sampling in
hand.
cohesive soils,
residual soil,
weathered
Change of state
of stress by
excavation.
Requires accessible
excavation. Requires
dewatering if sampling
below groundwater.
rock, soft rock.
4.6.4 Backfilling
Backfilling of boreholes and test pits should be done carefully. The quality and compaction of the backfill material
should be sufficient to prevent hazard to persons or animals, and should prevent water movement or collapse,
particularly in drilling for deep excavations or tunnels. In the case ofa contaminated care is required to minimize
possible flow through the boreholes to water supply aquifers.
4.7 Laboratory Testing of Soil Samples
It is beyond the scope ofthis Manual to cover in detail all laboratory testing techniques now in use in soil mechanics.
However, the more common tests are summarized in Tables 4.13, 4.14, 4.15, 4.16 and4.17 to provide some guidance
on standard (ASTM) or suggested test procedures, the variations that maybe appropriate, and the type and size of
samples required. These tables have been adapted from Navfac DM 7.01 (1986). Testing procedures references
given in the above tables are summarized for convenience in Table 4.18. The index property tests in Table 4.13 are
Site Investigations 63
considered in more detail in Chapter 3. Other comments for general guidance are given in the following paragraphs
and these comments are essentially those given in Navfac DM 7.01 (1986).
4.7.1 Sample Selection
Samples to be tested should be representative of each significant stratum, or be an average of the range of materials
present, depending on the design and project requirements. A thin stratum can be significant if it has engineering
features such as being weak or cemented. Ifit appears difficult to obtain representative samples because of variations
in the stratum, it may be necessary to consider subdivision of the stratum for sampling, testing, and design pm-poses.
In general, tests on samples of mixed or stratified material, such as varved clay, should be avoided. Usually such
results are not indicative of material characteristics and better data for analysis can be obtained by testing the
different materials separately.
Undisturbed samples for structural properties tests must be treated with care to avoid disturbance. An "undisturbed"
sample found to be disturbed before testing normally should not be tested. Fine-grained cohesive samples naturally
moist in the ground should not be allowed to dry before testing, as irreversible changes can occur; organic soils
are particularly sensitive. Soils with chemical salts in the pore water may change if water is added, diluting the salt
concentration, or if water is removed, concentrating or precipitating the salt. Organic soils require long-term low
temperature (60°C) drying to avoid severe oxidation (burning) of the organic material.
4.7.2 Index Property Tests
Index properties are used to classify soils, to group soils in major strata, and to correlate the results of structural
properties tests on one portion of a stratum with other portions of that stratum or other similar deposits where only
index test data are available. Procedures for most index tests are standardized (Table 4.13). Either representative
disturbed or undisturbed samples are utilized.
Tests are selected after review of borehole data and visual identification of samples recovered. In general, the test
program should be planned so that soil properties and their variation can be defined adequately for the lateral and
vertical extent of the project concerned.
4.7.3 Tests for Corrosivity
The likelihood of soil adversely affecting foundation elements or utilities (concrete and metal elements) can be
evaluated on a preliminary basis from the results of the tests referenced in Table 4.13. The tests should be run on
samples of soil which will be in contact with the foundations and/or utilities in question and typically these will
be only near-surface materials. Usually the chemical tests are run only if there is reason to suspect the presence of
those ions.
4.7.4 Structural Properties Tests
Tests for structural properties should be planned for particular design problems. Rigid standardization oftest programs
is inappropriate. Typical tests for determining structural properties are given in Table 4.14. Perform tests only on
undisturbed samples or on compacted specimens prepared by standard procedures. In certain cases, completely
remolded samples are utilized to estimate the effect of disturbance. Plan tests to determine typical properties of
major strata rather than arbitrarily distributing tests in proportion to the number of undisturbed samples obtained. A
limited number of high quality tests on carefully selected representative undisturbed samples are preferred.
4.7.5 Dynamic Tests
Dynamic testing of soil and rock involves three ranges: low frequency (generally less than 10 hz) cyclic testing,
resonant column high frequency testing, and ultrasonic pulse testing (Table 4.15). The dynamic tests are used
to evaluate foundation support characteristics under cyclic or transient loadings such as machinery, traffic, or
64 Canadian Foundation Engineering Manual
earthquakes. For earthquake loading, a primary concern is often liquefaction. Young's modulus (E
s
)' shear modulus
(0), and damping characteristics are detennined by cyclic triaxial, cyclic simple shear, and resonant column tests as
shown on Table 4.15. Table 4.16 shows the range of strain levels for which each test is applicable.
From the resonant frequency of the material in longitudinal and torsional modes, Poisson's ratio can be computed
from test data. Foundation response to dynamic loading and the effect ofwave energy on its sun'oundings is studied
in the light of these test results. The ultrasonic pulse test also evaluates the two moduli and Poisson's ratio, but the
test results are more reliable for rocks than for soils. Dynamic tests can be run on undisturbed or compacted samples
and the number of tests will depend on project circumstances.
4.7.6 Compaction Tests
In exploring for bon-ow materials, the number of index tests or compaction tests may be required in proportion to
the volume of bon-ow involved or the number of samples obtained. The requirements for compacted soil sample
tests are given in Table 4.17.
Structural properties tests are assigned after bon-ow materials have been grouped in major categories by index and
compaction properties. Select samples for structural tests to represent the main soil groups and probable compacted
condition. The number of compaction tests will depend on project requirements and bon-ow variability.
4.7.7 Typical Test Properties
Various con-elations between index and structural properties are available showing the probably range of test
values and relation of parameters. In testing for structural properties, correlations can be used to extend results to
similar soils for which index values only are available. Correlations are of varying quality, expressed by standard
deviation, which is the range above and below the average trend, within which about two-thirds of all values occur.
These relationships are useful in preliminary analyses but must not supplant careful tests of structural properties.
The relationships should never be applied in final analyses without verification by tests of the particular material
concerned.
TABLE 4.13 Requirements/or Index Properties Tests and Testing Standards
Test
Reference for
standard tests
(a)
Variations from standard
test Procedures, sample
reqUirements
Size or weight sample for
Test
Moisture content
of soil
ASTM D2216 (1)
None. (Test requires natural
moisture content.)
As large as convenient.
Moisture, ash, and
organic matter of
peat materials
Dry unit weight
Specific gravity:
(relative density)
!
I
I
ASTM P2974 (1)
None.
None.
Determine dry a sample of
measured total volume. (Requires
undisturbed sample.)
i
As large as convenient.
Material smaller
than No. (4.75
mm) sieve size
ASTM P854 (1)
Volumetric flask preferable;
vacuum preferable for de-airing.
i
25 g to 50 g for fine-grained soil;
150 g for coarse- grained soils.
Site Investigations 65
TABLE 4.13 Requirements/or Index Properties Tests and Testing Standards (continued)
Variations from standard
test Procedures, sample
requirements
None.
sieve size
ASTM e127 (1)
Use fraction passing No. 40
(0.425 mm) sieve; material should i
, not be dried before testing.
Atterberg Limits:
I
Liquid Limit ASTM D423 (1) I None.
Plastic Limit ASTM D424 (1)
Ground glass plate preferable for
rolling
Shrinkage Limit (4)
In some cases a trimmed
specimen of undisturbed material
may be used rather than a
remolded sample.
Gradation:
Sieve analysis ASTM D422 (1)
Selection of sieves to be utilized
may vary for samples of different
gradation.
Hydrometer
analysis
ASTM D422 (1)
Fraction of sample for hydrometer
analysis may be that passing
No. 200 (0.075 mm) sieve. For
fine-grained soil entire sample
may be used. All material must
be smaller than No. 10 (2.0 mm)
, sieve.
100 g to 500 g
15gt020g.
30 g
500 g for soil with grains to 9.5 mm;
to 5,000 g for soil with grains to
75mm.
65 g for fine-grained soil; 115 g for
sandy soil.
Corrosivity:
Sulphate content
Chloride content
pH
(5)
(5)
ASTM D 1293 (1)
i
i
Several alternative procedures in i Soil/water solution prepared, see
reference. reference.
Several alternative procedures in Soil/water solution prepared, see
reference.
I reference.
Reference is for pH of water.
, For mostly solid substances,
• solution made with distilled water
and filtrate tested; standard not
available.
-,
66 Canadian Foundation Engineering Manual
TABLE 4.13 Requirements for Index Properties Tests and Testing Standards (continued)
Size or weight sample for
Test
Written standard not available.
Resistivity
Follow guidelines provided
None.
by manufacturers of testing
apparatus.
(laboratory)
In-situ test procedure. (6)
Resistivity (field)
(a) Number in parenthesis indicates reference number in Table 4.18
(b) Samples for tests may either be disturbed or undisturbed; all samples must be representative and non-
segregated; exceptions noted.
(c) Weights of samples for tests on air-dried basis.
TABLE 4.14 Requirements for Structural Properties
Reference for
Size of weight of sample for
Variations from suggested
suggested
test (undisturbed, remolded,
test procedures
tests (a)
or compacted)
Constant Head
(moderately
permeable soil)
(2), (4)
Sample size depends on maximum
grain size, 40 mm diameter by 350
mm height for silt and fine sand.
Variable Head (2), (4)
Generally applicable to fine-
grained soils .
Similar to constant head sample.
. Limited to soils containing less
Constant Head than 10% passing No. 200 (0.075
ASTMD2434
I.
mm) sieve size. For clean coarse- ( coarse-grained
(l ),(4)
grained soil the procedure in
reference (4) is preferable.
Capillary head for certain fine-
Capillary Head
soils)
(2) grained soils may have to be
detennined indirectly.
Consolidation:
Consolidation (2)
Swell
AASHTOT258
(7)
I
Collapse Potential I
i
(8)
To investigate secondary
compression, individual loads
may be maintained for more than
24 hours.
!. Sample diameter should be at least
ten times the size of the largest soil
particle.
200 g to 250 g dry weight.
Diameter preferably 63 mm
or larger. Ratio of diameter to
thickness of 3 to 4.
Diameter preferably 63 mm
or larger. Ratio of diameter to
thickness of 3 to 4.l
Two specimens for each test,
with diameter 63 mm or larger.
Diameter to height ratio 3 to 4.
Site Investigations 67
TABLE 4.14 Requirementsfor Structural Properties (continued)
Size of weight of sample for Reference for
Variations from suggested
test (undisturbed, remolded, suggested
test procedures
or compacted) tests (a)
Shear Strength:
Generally 12 mm thick, 75 mm by
Limited to tests on cohesion less
75 mm or ASTM D3080
soils or to consolidated shear tests Direct Shear
100 mm by 100 mm in plan, or (1), (2)
on fine-grained soils.
e uivalent.
Alternative procedure given in
Similar to triaxial test samples.
: Reference 4.
__+-_______j--____________-1 be less than 3 and greater than
Consolidated- 2. Common sizes are: 71 mm
undrained (2),(3),(4) I Consolidated-undrained tests may diameter, 165 mm high. Larger
.-.::..-------+---------li run with or without pore pressure : sizes are appropriate for gravelly
Consolidated- (2),(3),(4) i measurements, according to basis materials to be used in earth
drained • for design. embankments.
Unconsolidated- i Ratio of height to diameter should
ASTM D2850 (1)
" Block of undisturbed soil at least
Vane Shear ...i '-;-:-;:--L_th_r_e_e_t_im_e_s_d_i_m_e_n_s_io_n_s_o_f_v_an_e_,_
I
(a) Number in parenthesis indicates reference number in Table 4.18.
TABLE 4.15 Requirementsfor Dynamic Tests
Reference for
Test suggested
tests (a)
Cyclic Loading
Triaxial
Simple Shear
Torsional Shear (10) Can use hollow specimen.
Same as for triaxial test for
Resonant Column Can use hollow specimen, structuraLproperties; lengths
sometimes greater.
Ultrasonic Pulse
(9)
(9)
ASTM
D40151(1 )(11)
Same as for triaxial test for
: structural properties
Soil (12)
Same as for triaxial test for
structural properties,
Rock
ASTM D2845
(1)
Prism, length less than five
times lateral dimension; lateral
dimension at least five times
length of compression wave.
..
68 Canadian Foundation Engineering Manual
(a) Number in parenthesis indicates reference number in Table 4.18
(b) Except for the ultrasonic pulse test on rock and resonant column tests, there are no recognized standard
procedures for dynamic testing. References are to descriptions of tests and test requirements by recognized
authorities in those areas.
TABLE 4.16 Capabilities o/Dynamic Testing Apparatus
Cyclic Attenu-
Modulus • Modulus i ~ Damping
Shearing Strain Amplitude (%) i Shear I Youngs I
Stress anon
10-4 10.
3
10-
2
10.
1
Behaviour
1 G ! E •
I I I
Resonant column (!l9.li.a§ample) X X X
Resonant column (hollow samule)
X X X
X X ~ 9 . . ' i c pulse X
Cy:clic Triaxial X X X
I
Cyclic Simole Shear X X X
'I
Typical Motion Characteristics
X • Indicates the properties that can be detennined.
Properly Strong
Close in
Designed Ground
Nuclear
Machine Shaking .
Earth k ExplosIon
I' qua e I
I
1
TABLE 4.17 Requirements/or Compacted Soil Sample Tests
Moisture-density
relations:
Standard Proctor
2.49 kg hammer,
305 mm drop
ASTM D698 (1)
Preferable not to reuse samples
for successive compaction
determinations.
Each determination (typically 4 or 5
determinations per test):
Method A: 3.0 kg
Method B: 6.5 kg
Method C: 4.5 kg
Method D: 10 kg
Site Investigations 69
TABLE 4.17 Requirementsfor Compacted Soil Sample Tests (continued)
ModifiedProctor Preferablenottoreusesamples
MethodA: 3.5 kg
4.54 hammer,
457 mmdrop
Maximumand
MinimumDensities
of Cohesion lessSoils
CaliforniaBearing
ASTMDI557(1)
ASTMD2049(1)
ASTMDI883(1)
for successivecompaction
determinations.
Compactionenergyotherthan
thatforModifiedProctormay
MethodB: 7.5 kg
MethodC: 5.5 kg
MethodD: 1l.5kg
Varies from4.5 kgto 60
dependingonmaximumgrainsize.
Eachdeterminationrequires7kgto
11.5 dependingon gradation. Ratio
beutilized.
4.5 kg to7 kg dependingon
ResistanceR-value ASTMD2844(l)
gradation.
Alternatively,testing
4.5 kg to7kgdependingon
ExpansionPressure AASHTOTl90(7) proceduresofTable4.14may
gradation.
beutilized.
Bestsuitedforcoarse-grained
Permeabilityand soils. Altematively,testing 7kgofmaterialpassingNo. 4(4.75
(13)
compression proceduresof Table4.14may mm)sievesize.
beutilized.
(a) NumberinparenthesisindicatesreferencenumberinTable4.18
(b) Forothersourcesofstandardtestprocedures,seeTable4.6.
(c) Weightofsamplesfortestsgivenonair-driedbasis.
TABLE 4.18 References Cited in Tables 4.13, 4.14, 4.15and 4.17
1. American Society for Testing and Materials "Annual Book ofASTM Standards, Part 19 - Natural
BuildingStone,SoilandRock,Peat,Mosses,andHumus;Part14- ConcreteandMineralAggregates;
Part4 - StructuralSteel"; :ASTM,Philadelphia,Pennsylvania.
2. Lambe,T.W. (1951). "Soil forEngineers"; JohnWiley,NewYork.
3. Bishop, A.W. andDJ. Henkel(1962). "TheMeasurementofSoil Properties intheTriaxialTest";
EdwardArnoldLtd.,London.
4. Office ofthe Chiefof (1970). "Laboratory Soils testing"; Department of the Army,
EngineeringManualEM1110-01-1906,Washington,D.C.
70 CanadianFoundationEngineeringManual
TABLE 4.18 References Cited in Tables 4.]3, 4.14, 4.15and 4.17(continued)
5. AmericanSocietyof AgronomyandtheAmericansocietyforTestingandMaterials(1965). "Methods
ofSoilAnalysis,ChemicalandMicrobiologicalProperties";pa112,Black,CA.,ed.,AmericanSociety
ofAgronomy,Inc.,Madison,WI.
6. NationalBureauofStandards. "UndergroundCorrosion";CircularC450,UnitedStatesGovernment
printingOffice.
7. AmericanAssociationofStateHighwayandTransportationOfficials(1978)"StandardSpecifications
for TransportationMaterials andMethods ofSamplingand testing"; PartII,AASHTO, Washington,
D.C.
8. Jennings, lE. and K. Knight (1975). "AGuide to Construction on or with Materials Exhibiting
AdditionalSettlementDueto CollapseofGrainStmctures"; SixthRegionalConferenceforAfricaon
SoilMechanicsandFoundationEngineering.
9. Silver,MarshalL. (1976). "LaboratoryTriaxialTestingProcedurestoDeterminetheCyclicStrength
ofSoils"; prepared under contract to US NRC, (contract No. WRC-E(11-1)-2433), Report No.
NUREG-31.
10. Wood,R.D. (1978). "MeasurementofDynamicsoilProperties";ASCEGeotechnicalDivisionSpecial
ConferenceonEarthquakeEngineeringandSoilDynamics.
11. Dernevich, V.P., B.O. Hardin and D.J. Shippy (1978). "Modulus and Sampling ofSoils by the
ResonantColumnMethod";ASTM, STP654.
12. Stephenson,R.W. (1978). "UltrasonicTestingforDeterminingDynamicSoilModulus";ASTM,STP
654.
13. BureauofReclamation (1974). "Permeability and SettlementofSoils"; EarthManual, Designation
E-13,UnitedStatesGovernmentPrintingOffice.
4.8 Investigation of Rock
4.8.1 General
Determinationofthecharacterandconditionoftherockmassisrequiredfordesignoffoundationswhichextendto
orintotherocksurfaceorfor excavationsinrock. Thesiteinvestigationtechniquesusedinrockshouldreflectthe
designdatarequired. Pertinentinformationtobedeterminedshouldinclude:
Geologicalcharacteristicsofthesitetoprovideanoverviewofthesiteandprovidethebasisfor correlation
betweenboringsandoutcropmapping. Reviewofexistingpublisheddataisuseful.
Rock, ifpresenton the surface, should be mapped and the outline ofthe rock surface and rock surface
elevations recorded. Outcrops should be mapped using conventional mapping techniques. Geophysical
techniques suchas seismicrefractiontechniquesmaybeusefulfor detectingtop ofrocksurfacescovered
withoverburden. Geophysicaltechniquesshouldbeconfirmedbyboreholeswhenpositionofrocksurface
iscritical.
Rockat depthshouldbe investigated using boreholes. The recovered rock samples shouldbe classified
anddescribedasnotedbelow. Useofdownholegeophysicscanaddvaluabledatato asingleboreholelog.
The nature oftheseams washedawaybydrilling maybedeterminedand, in some instances, engineering
J
Site Investigations 71
propeliies can be correlated by geophysical logs or borehole camera logging.
Extent and character of alteration and weathering, and an assessment of the sensitivity or resistance to
weathering or chemical reaction. (Includes slaking, swelling or acid drainage generation).
Characteristics and orientations (including folds and fold axes) of discontinuities such as bedding planes,
faults, joints, foliations or cleavage planes.
Strength and compressibility of the rock mass.
Permeability and groundwater levels.
In permafrost rich areas of the Canadian north, care must be taken to determine ice content within
discontinuities. Ice rich lenses could melt and cause settlements. Special drilling procedures with cooled
drilling fluids may be warranted.
4.8.2 Core Drilling of Rock
When information is required at depth in rock, boring may be required. Attention to the overall geological setting
may indicate if detached bedrock may be present. The borehole or boreholes should be carried well below the first
encountered top of rock to confirm the presence of bedrock.
Boreholes for the investigation of rock can be advanced by many different methods, as discussed in detail by
Franklin and Dusseault (1989). These may include:
rotary core drilling with double or triple core barrels, with or without wire line, with air or water flush;
rotary tricone drilling with air or water flush; and
percussion drills, down-the-hole-harnmers, etc.
Rock drilling provides rock core of various diameters, typically ranging from NQ to HQ sizes for geotechnical
investigations. Cores recovered using triple tube wire line core barrels are the least disturbed and are useful
for assessing discontinuity characteristics. Oriented core may be used to determine spatial relationships of the
discontinuities. Core recovered using wireline double tube systems provide pieces of sequential core but often
the discontinuities are disturbed and the true nature may be difficult to determine. Sheared zones may be badly
disturbed. Tricone drilling provides cuttings ofthe rock material which do not allow any assessment ofdiscontinuity
characteristics. Infilling material is often lost. Percussion drill and down-the-hole hammer drills are excellent for
production drilling.
Drilling of soft bedrock may require the use of a Pitcher sampler or Christenson spring loaded bit. Soft seams of
sheared material may still be lost during drilling. Large diameter (1 m) holes augured or churn drilled to depth, then
mapped and sampled from a mobile cage, have been successfully used to identify zones of weakness and to recover
samples for direct shear testing.
When a drilling program is designed it is often prudent to seek the advice of an experienced drilling contractor,
particularly with respect to drill suitability. Where it is important to recover high quality cored rock or if testing
down hole is an integral part ofthe program, an hourly rate, testing rate, or some combined basis for payment should
be sought, as opposed to a rate per length drilled.
Care must be taken to ensure maximum possible core recovery. Changes in drilling noise, vibrations, pressure on
drill bit, colour, pressure and flow of drilling water, and all other drilling operations should be carefully recorded.
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72 Canadian Foundation Engineering Manual
Care should be taken when drilling through overburden to bedrock to ensure that bedrock has in fact been reached
and that a floating large slab of rock in a till or colluvium or residual soil has not been misinterpreted. The borehole
should be drilled a minimum of 3 meters into bedrock, in more than one borehole, to confirm whether bedrock or
a boulder has been found. For some geological conditions, such as when floating rock slabs are possible, the depth
of drilling should be increased.
In-situ testing in the borehole is recommended whenever possible. The rock exposed along a borehole will be
disturbed by drilling, but the position and orientation of the discontinuities will not be affected. Testing using
downhole geophysical techniques and observation using a borehole camera or probe can provide velY useful
information about the integrity of the rock mass.
4.8.3 Use of Core Samples
4.8.3.1 Identification and Classification
Information about identification and classification of rocks is presented in Chapter 3 of this manual. Core logging
procedures should include collection of this data. Particular attention should be paid to the identification of the rock
discontinuities, including their nature and origin, geometry and weathering. Colour photographs of the rock core,
, presented in the con'ect stratigraphic sequence and with the core depths indicated, are a useful record and can assist
office studies.
4.8.3.2 Laboratory Testing of Core Samples
Laboratory tests (described in Chapter 3) are useful for determining the strength and deformability of the intact rock
elements. Such results may not be representative of the actual rock mass, since they are performed on samples free
of discontinuities. The relative importance of the rock characteristics versus the rockmass characteristics depends
upon the size of the foundation and the effect ofthe discontinuities. The range ofpossible discontinuity conditions is
considered in the Geological Strength Index approach (GSI) discussed in Chapter 3. In this method, a combination
ofthe surface conditions ofthe discontinuities and the rockmass structural state provide a factor to modifY the intact
. rock strength to more representative rockmass strength. This evaluation relies upon an assessment of the intact rock
strength and the rockmass conditions. Where large structures are to be founded on or in rock, insitu tests such as
described in the next section should be conducted.
4.8.4 In-situ Testing
In-situ testing ofrockmass deformation characteristics should be carried out for design oflarge structures supported
in and on rocks. A variety oftests, as discussed by La and Hefny (200 I) are summarized here:
• Plate load test. This is the most common in-situ rock mechanics test method. Standards for testing
procedures and interpretation are given by ISRM (1979a, b) and ASTM (D4394-84 and D4395-85). In this
simple test, a load is applied to a prepared flat surface ofthe rock mass through a plate and the deformation
is measured. The deformation modulus is then calculated from this data. The main disadvantages of this
technique include the expense ofpreparing the site for the testing, only a small volume ofrock is tested, and
the common presence of a disturbed zone around the excavation usually leads to conservative results.
Large :flat jack test. In this simple test (ISRM, 1986), large hydraulic :flat jacks are inserted into a nanow
slot cut into an exposed rock surface. Pressure applied to the :flat jacks results in measured normal rock
deformation. The rock mass deformation modulus can be determined from this data. The advantages of this
test include the fact that a large volume of the rock mass is influenced by the test, and that it is performed
in a relatively undisturbed zone of the rock mass. The disadvantages include the need for skilled drilling
personnel, the weak theoretical background for the interpretation, seating problems when conducting the
test, and the fact that most :flat jacks are generally non-recoverable.
Site Investigations 73
Dilatometertest. Dilatometertests maybe carriedusingeitherflexible orstiffequipment. Intheflexible
type, (ISRM, 1987) a uniformly distributed pressure is applied to the borehole wall by hydraulically
expandingaflexible membrane. The resulting hole expansion is detenninedby measuring the volume of
fluidinjectedordirectlybydisplacementtransducerscontainedwithintheprobe.Thedeformationmodulus
is determinedfromtherelationshipbetweentheappliedpressureanddeformation.
In the stifftype, (ISRM, 1996; ASTM, D4971-89) unidirectional pressure is applied to the borehole wall by
two opposed curvedsteel platens, each covering a 90-degree sector. The advantage ofthe easily performed and
inexpensive dilatometer test is the ability to perform the test at different depths and locations. As a result, the
variationofdefonnabilitywithdepthandacrossthesitecanbedetermined.Themaindisadvantageofthetestisthat
onlyasmallvolumeofrockis influencebythetest.Thereforethemodulusobtainediscomparabletothelaboratory
modulus, butnottotherockmassmodulus.
Lo and Hefny (200I) and ASCE (1996) describe other in-situ tests involving tunnelling, dynamic testing using
seismicwavesandstressrelieftesting.
4.9 Investigation of Groundwater
4.9.1 General
Groundwater is a·critical factor in foundation design and construction. Many foundation problems are directly
or indirectly relatedto groundwater, hence groundwaterconditions, both physical andchemical, shouldbe given
carefulattentionduringall stagesofasoilsinvestigation.
Factorsofimportanceare:
• theexistenceof groundwater- normal,perched,hydrostatic, orartesian;
• theexactlevelofthegroundwatertable,andof thelowerlimitofperchedgroundwater;
thicknessofstrataandthehydrostaticlevelofartesiangroundwater;
• thevariationof thesecharacteristicsoverthesiteandwithtime,and
• thechemicalcompositionofthegroundwater.
A thorough evaluation ofgroundwater measurement, instrumentation selection, installation and observations is
beyondthescopeofthisManual.Otherreferencesshouldbe consultedsuchasDunnic1iff(1988).Considerablecare
isrequiredtoensurethattheappropriategroundwaterlevelmeasuringinstrumentationisselectedandinstalled.A
goodsystemwillprovidetherequiredinformationfor designwhileapoorsystemcangivemisleadingresults.
4.9.2 Investigation in Boreholes
Fieldrecords shouldbemade duringdrillingof allboreholeobservationsrelatedto groundwaterandtheserecords
shouldincludeobservationsoncolour,rateofflow,partialortotallossofwater,andthe:firstappearanceofartesian
conditions. The water level should be measured during drilling and after the completion ofthe borehole. All
informationshouldberecordedontheboringlog, alongwiththedepthof theborehole andthedepthofthecasing
atthetimeofobservation.
The groundwaterobservationsmade in openboreholes should be treatedwithcaution. Groundwaterobservations
madeatthetimeofboringarenotrepresentativeinclayandother:fine-grainedsoils,becauseofthelowpermeability
ofthesematerialsandthelongerperiodsof timerequiredbeforethewaterlevelintheboreholereachesequilibrium.
Soilcollapsingintheboreholecanalsoleadtoerroneousresults.
One ofthe more common methods for measuring groundwater levels is to install an open observation well for
the full depth ofthe borehole. The observation well usually consists ofa pipe with a perforated section at the
bottom. The pipe extends to the groundsurface andis backfilledfor the entire hole withsand, with a sealat the
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74 Canadian Foundation Engineering Manual
ground surface. The major disadvantage is that different soil strata may be under different hydrostatic pressure, and
the groundwater level recorded may be inaccurate and misleading. Furthermore the continuous sand backfill may
allow cross-connection of water in different strata and this could result in misleading observations. Most of the
disadvantages of the open borehole or observation well can be overcome by installing open standpipe piezometers
that are sealed into specific strata and these are discussed below.
4.9.3 Investigation by Piezometers
In all cases where groundwater conditions are important in design, or are difficult, or where direct borehole
observation is not applicable, the groundwater conditions should be investigated by the installation and observation
ofpiezometers (pore-pressure meters). In designing such installations, attention should be paid to the stratigraphy (for
location of the piezometer tips) and the soil type (for selection of the type of piezometer). Time lag is a particularly
important parameter in the selection of piezometer type, and proper installation is critical to the performance of
piezometers. In particular, when installed in a borehole, piezometers should be isolated from the borehole by, for
instance, sealing with bentonite a small distance above and below the piezometer tip (which should be surrounded
by clean sand).
The simplest and generally considered to be the most reliable piezometer is the open standpipe piezometer installed
in the borehole at the depth required with sand backfill placed around the porous end within the depth of the
stratum being observed. This stratum is isolated by placing bentonite seals above and below the sand backfill. The
borehole above the upper bentonite seal should be backfilled with a special sealing grout. For further details refer
to Dunnicliff (1988).
If the foundation strata in which the piezometers are to be located are of low permeability and the time lag for
open standpipe piezometer measurements is excessive, or if piezometers are required in locations inaccessible for
reading the vertical open standpipe piezometers, then different types ofpiezometers will be required. Other types of
piezometers can be grouped into those that have a diaphragm between the transducer and the porewater and those
that do not. Instruments in the first group are piezometers with pneumatic, vibrating wire, and electrical resistance
strain gage transducers. Instruments in the second group are open standpipe and twin-tube hydraulic piezometers.
Refer to other sources such as Dunnicliff (1988) for further details.
4.10 Geotechnical Report
Data from site investigations are usually referred to frequently and for many different purposes during the design
period, during construction, and often after completion of the project. Appropriate reports should therefore be
prepared for each site investigation. They should be clear, complete, and accurate. The following outline may be
used as a guide in arranging data in such reports:
Text
Terms of reference of the investigation
Scope of the investigation
Procedures and equipment used in the investigation
Proposed-structure or structures
Geological setting
Topography, vegetation, and other surface features
Soil profile and properties
Groundwater observations
Existing adjacent structures
Foundation studies, including alternatives
Recommended field instrumentation and monitoring
Recommended construction procedures, if appropriate
Recommended field services
Conclusions and recommendations
Site Investigations 75
Limitations of the investigation
Graphic presentations
Map showing the site location, including north arrow
Detailed plan of the site showing contours and elevations, and location of proposed structures, boreholes,
and adjacent stmctures and features of importance
Boring logs, including all the necessary pertinent information on soil, rock, and groundwater
Stratigraphical and geotechnical profiles
Groundwater profiles
Laboratory data
Special graphic presentations
4.11 Selection of Design Parameters
4.11.1 Approach to Design
There are four distinct categories of calculation methods in geotechnical design as follows (Hight and Leroueil
2002):
1. Empirical
Direct use of in-situ or laboratory test results, relying on correlation
with performance data and experience
2. Semi-empirical Indirect use of in-situ or laboratory test results, combining field
experience and simple theory
3. Analytical Theoretical models based on elasticity, plasticity, etc.
4. Numerical Complex soil models based at least in part on real soil behavior
The complexity ofsoil behaviour has resulted in a need for empiricism and so a substantial number ofcurrent design
methods in geotechnical engineering practice fall in categories I and 2. This has led to the development of a large
number of design methods, each applicable to one specific design case. Charts are frequently available to aid in
design. Because design methods were developed using properties determined in a particular manner, it is important
to follow design approaches in their entirety as the previous success of the approach may rely on compensating
errors. One area in which this is particularly important is pile design. Pile installation alters soil properties. The
magnitude of the change in soil properties depends on the installation method and on the initial conditions. This
effect of changes in ground conditions as a result of foundation constmction must be specifically considered during
site characterization and selection of design parameters.
Historically, design has involved separate consideration of strength and deformation. Limit equilibrium has been
used to design against failure and linear elasticity the non-linear theory of consolidation has been used to estimate
deformation. In the limit equilibrium approach, the mobilized strength at failure will likely vary along the particular
failure surface under consideration and will differ from peak strength. Site variability and soil strength anisotropy
become important when selecting the design strength.
Advances in numerical modeling have given engineers the capability to model soil response to all stages of site
development. Constitutive models have been developed which account for some or all of the above aspects of
material behaviour. These models have been implemented in numerical models in commercially available computer
programs. The determination of appropriate input parameters requires judgment and a good understanding of soil
behaviour. It is critical that any model used in design should be calibrated by comparison to case histories of similar
foundation elements or systems in similar soil conditions.
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76 Canadian Foundation Engineering Manual
4.11.2 Estimation of Soil Properties for Design
To characterize the engineering behaviour ofthe soil or rock at a site, the following parameters are critically
important:
• In-situstresses
Groundwaterconditions
Overconsolidationratio to allowdefinitionofyieldstresses
Initialstiffnessanditsvariationwithstressandstrainlevel
Potential for strain weakening or swelling, that is, the existence ofsoil structure or expansive clay
minerals
Thepresenceofanyjointsorothermacrostructurethatmay dominatetheengineeringbehaviour.
Once the materials have been identified, estimates ofcharacteristic behaviour can be based on one orall ofthe
following:
Previousexperience in materialswithsimilarclassificationpropertiesandofsimilargeologicaloriginand
history
Sitespecificin-situtesting
• Sitespecificlaboratorytesting
Prototypetesting,e.g. footing orpileloadtests.
Comparison to similar materials
Forestimatesofsoilpropertiesbasedontheknownbehaviourof similarmaterial,itisnecessarytohaveameansof
identifyinghow closelythematerialsatthesiteresembleothers for whichdatahavebeenpublished. Examplesof
materialswelldocumentedinthetechnicalliteratureareLondonClay,WealdClay,LedaClay,BostonBlueclay,
SanFranciscoBayMud, Ottawasand, FraserRiversand, Toyourasand,Leighton Buzzardsand,Tieinosand,etc.
ClassificationpropertiessuchasAtterbergLimitsorsoilgradationscanbeusedto assistthe engineerto makethis
determination.
In-situ testing
Theresultsofin-situtestingcanalsobeusedas anindexofsoilbehaviour.Traditionally,propertycharacterization
has beenbasedon blow countsorSPTN-valuesmeasuredduringsplit-spoonsampling. Morereliable techniques
such as thepiezometercone penetration testing (CPT) are now available. It is important to note that the loading
conditionsduringanin-situtestareusuallyverydifferentfromtheloadingconditionsundertheproposedengineering
works.
Thefollowingpointsarecritical:
Ifthe in-situ test parameters are to be correlated to engineering behaviour, the soil being investigated
shouldresemblevery closelythe soilusedto developthe correlation. Thisrequires similarityofdrainage
conditions,hydraulicconductivity,mineralogy,stresshistoryandstressstate,soilstructure,compressibility,
shearstiffnessandstrain-ratedependence.
The in-situ test must be carried out in exactly the same way as it was during the development ofthe
correlation.
Failuretoobserveeitheroftheseconditionscanleadtoerrorsininterpretation.Consequently,theengineer
interpreting the data must have a strong understanding ofsoil behaviour and must exercise extreme
diligence intheselection, specificationandobservationofthe in-situ tests. This is particularly important
whenattemptingtoapplycorrelationsdevelopedinonegeologicalregimeto soilsorrocksinanother.
Laboratory testing
All sampling causes some soil disturbance. The effect ofsample disturbance on the soil behaviour obtained in
laboratorytestswillvarydependingonthecareandattentiontakenduringsampling,storageofsamples,andduring
~
Site Investigations 77
preparation oftest specimens. In general, disturbance leads to a reduction in stiffness andpeakstrength ofsoils
when tested atstressesrepresentativeofin-situconditions. Disturbancemayalsomakeitdifficultto delineate the
yieldstressofthesoil. In sands,ithasbeenobservedthatattemptstoobtainundisturbedsamplesbymethodsother
thanin-situfreezing andcoring, typicallyresultinsamplesofloosesandthat aredenserthanthe in-situcondition
andsamplesofdensesandthatarelooserthanthe in-situcondition.
Prototype testing
Materialbehaviour canalso becharacterizedbyload testinga prototype ofaparticularfoundation element. The
soilelementsaffectedbythetestwillexperiencearangeofstressesandstrainsanditis importantto ensurethatthe
zoneofsoilinfluencedbythetestis representativeofthesoiltobeloadedbytheactualfoundation. Thestrainrates
imposedduringthe testsmustalso beconsideredin relationto those in effectunderapplication ofworking loads
andthesignificanceofanydifferencesinloadingratesshouldbeassessed.
4.11.3 Confirmation of Material Behaviour by Construction Monitoring
Muchcanbelearnedfrommonitoringof soilbehaviourduringconstmctionandduringtheservicelifeofstmctures.
Thisistheultimatetestofthesuccessofthecharacterizationofthematerialproperties.
4.12 Background Information for Site Investigations
Backgroundinformationforsiteinvestigationscanbeobtainedfromvariousgovernmentsources(federal,provincial
andterritorial). Avarietyofinformationis alsonowdirectlyavailableontheinternet, orgovernmentand private
sourcescanbelocatedusinganinternetsearch. Examplesofvaluableresourcesareas follows:
TopographicMapsandSurveys
GeologicalSurveys
AerialPhotographs
• SatelliteandUnusualImagery
Hydrology
.Waterwells
Flood-PlainMaps
HydrographicChartsandSurveys
SoilSurveys
• LandUseandPlanningSurveys
Climate
MineRecords
Seismicity
CataloguesandStandards
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78 Canadian Foundation Engineering Manual
Special Site Conditions
5. Special Site Conditions
5.1 Introduction
The following sections give brief descriptions of the types of soil, rock, or conditions that require precautionary
measures to achieve satisfactory design and performance. Early recognition of these types ofsoil, rock, or conditions
is essential to allow sufficient time for adequate investigations and the development of designs. An excellent
overview of the various soils in Canada is provided by Legget (1965 and 1976).
5.2 Soils
5.2.1 Organic Soils, Peat and Muskeg
Soils containing significant amounts of organic materials, either as colloids or in fibrous form, are generally
weak and will deform excessively under load. Such soils include peat and organic silts and clays typical of many
estuarine, lacustrine, or fluvial environments. Such soils are usually not satisfactory as foundations for even very
light structures because of excessive settlements that can result from loading the soil.
Many parts of Canada, especially in northern regions, have muskeg deposits that pose many significant and
challenging geotechnical design and construction problems. The interested reader is referred to MacFarlane (1969)
and Radforth and Brawner (1977) for detailed information and discussion concerning this special site condition.
5.2.2 Normally Consolidated Clays
Organic clays soft to medium consistency, which have been consolidated only under the weight of existing
conditions, are found in many areas. Typical of these are the clays of the Windsor-Lake St. Gaff region and the
varved clays in the northern parts of Manitoba, Ontario, and Quebec. Imposition of additional load, such as a
building, will result in significant long-term settlement. The magnitude and approximate rate of such settlement can
be predicted from analyses based on carefully conducted consolidation tests on undisturbed samples. Such studies
should be made before any significant structure is founded on or above these clays, in order to determine whether
settlements will be acceptable, considering the characteristics and purpose of the structure.
Driving piles through normally consolidated plastic clays may cause heave or displacements of previously driven
piles or adjacent structures. The bottom of excavations made in such soils may heave, and adjoining areas of
structures may move or settle, unless the hazards are recognized and proper precautions taken to prevent such
movements.
Special precautions may be necessary in sampling and testing varved clays. Any analysis should take into account
the important differences in properties between the various layers in the clays.
Special Site Conditions 79
5.2.3 Sensitive Clays
Sensitive clays are defined as having a remolded strength of 25 % or less of the undisturbed strength. Some clays
are much more sensitive than this, and clays having a remolded to undisturbed strength ratio of I to 20, or even I
to 100, are known.
Typically, such clays have field water contents equal to or greater than their liquid limits, and such relations may
indicate their presence. Extensive deposits ofsensitive clays occur in some areas, for example, the Champlain clays
of the St. Lawrence and Ottawa River Valleys. Where such clays have been preconsolidated by partial desiccation,
or by the weight of materials subsequently eroded, foundations may be placed on the clays, provided that the
foundation load produces shearing stresses under the foundations that are well within the shear strength of the clay,
or else excessive settlement and possibly catastrophic failure will result. Disastrous flow slides have developed in
the Champlain clays in a number ofplaces, and the hazard must always be considered. Deep excavations in sensitive
clays are extremely hazardous, because of possible severe loss in shear strength, resulting from strains within the
soil mass beneath and adjacent to the excavation.
Determination of the physical properties necessary for evaluating the significance of sensitive clays to a proposed
structure requires taking and testing of both undisturbed and remolded samples of the clays, and thorough analysis
of the possible hazards involved. Because ofthe extreme sensitivity of such clays to even minor disturbances, taking
and testing undisturbed samples require sophisticated equipment and techniques, and should be attempted only by
competent personnel experienced in this type of work.
5.2.4 Swelling and Shrinking Clays
Swelling and shrinking clays are clays that expand or contract markedly upon changes in water content. Such clays
occur widely in the provinces of Alberta, Manitoba and Saskatchewan, and are usually associated with lacustrine
deposits. Shallow foundations constructed on such clays may be subject to movements brought about by volume
changes, because of changes of the water content in the clays Deep foundations supporting structural floors can be
damaged if the enclosing clay is .confined. Special design provisions should be made, which take into account the
possibility of movements or swelling pressures in the clays (see Chapter 15).
5.2.5 Loose, Granular Soils
All granular soils are subject to some compaction or densification when subjected to vibration. Normally this is
of significance only below the permanent water table. Sands above the water table, as a rule, will be only slightly
compacted by most building vibration, because of friction developed between the grains from capillary forces.
Usually for sands in a compact to dense state, settlements induced by vibration will be well within normal structural
tolerance, except for very heavy vibration, as from forging hammers or similar equipment (discussed in detail in
Chapter 14). However, ifthe sands are in a loose to very loose state, significant settlement may result from even minor
vibrations or from nearby pile driving. In some cases, earthquakes have brought about the liquefaction ofvery loose
sands, such as occurred in Niigata, Japan. In this event, structures supported above such soils may be completely
destroyed. Loose sands will settle significantly under static load only. Such settlements may exceed allowable
tolerance. Consequently, loose sands should be investigated carefully, and their limits established; densification or
compaction of such deposits may be essential before structures can safely be founded above or within them.
5.2.6 Metastable Soils
Metastable soils include several types of soil, abnormally loosely deposited, which may collapse on saturation.
Such collapses will cause severe or even catastrophic settlement of structures founded in or above these soils. Loess
is the most common metastable soil.
Because metastable soils are strong and stable when dry, they can be misleading in investigations and extreme care
should be taken to ensure identification and proper foundation design wherever such soils occur. The open, porous
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80 Canadian Foundation Engineering Manual
structure, which is the usual means of identification, may be completely collapsed by the boring techniques. Where
such conditions may be anticipated, borings should be done by auger methods, and test pits should be dug, from
which undisturbed samples may be taken to determine accurate in-place densities.
5.2.7 Glacial Till
Till is unsorted and unstratified glacial drift deposited directly by and undemeath glaciers. Its soil grains are usually
angular and all size fractions are normally present (Legget, 1962 and 1979; Legget and Karrow, 1983). Basal till
(consolidated under the full weight of the glacier) is normally very dense, whereas ablation till (deposited from the
glacier during ablation) may not be dense. Till is generally a good foundation material, but problems have arisen
with the presence of soft layers and large boulders. Till may be to excavate. Fine-grained till is generally
susceptible to frost.
5.2.8 Fill
An engineered fill placed under careful control may be an extremely dense material, more uniform, more rigid, and
stronger than almost all natural deposits. When not placed under controlled conditions, it may be a heterogeneous
mass of rubbish, debris, and loose soil of many types useless as a foundation material. It may, of course, also be
some combination intermediate between these extremes.
Unless the conditions and quality control under which a fill was placed are fully known, the fill must be presumed
unsatisfactory for use under foundations. Investigations must establish its limits, depths, and characteristics
throughout.
5.3 Rocks
5.3.1 Volcanic Rocks
Parts of the Canadian Cordillera and the Western Interior Plains have extensive deposits of geologically young
volcanic rocks. Some tuffs within these volcanic sequences have high porosities, low densities, and low shear
and compressive strengths. These materials weather rapidly, in some places, to smectites (swelling clay minerals;
montmorillonite).
5.3.2 Soluble Rocks
Rocks such as limestone, gypsum, rock salt, and marble are subject to high rates of solution by groundwater, and
may contain solution channels, caverns, and sinkholes, which may cave to the earth's surface. These conditions
present special foundation problems (Calembert 1973).
5.3.3 Shales
, -; Shales are the most abundant of sedimentary rocks and commonly the weakest from the standpoint of foundations.
Two special problems with certain shale formations have been identified in Canada.
In Western Canada, the Bearpaw Formation and other shales ofCretaceous age have been found to swell considerably
when stress release or unloading leads to the absorption ofwater by the clay minerals, in combination with exposure
to air. Bearpaw shales also have a low frictional resistance, which may create slope stability problems for both
excavations and construction on or near natural slopes in Bearpaw shales. Special advice should be sought if
Bearpaw or comparable shales are encountered along deep river valleys.
In Eastern Canada, volumetric expansion of some shale formations, caused by the weathering of iron sulphide
minerals (mainly pyrite), accelerated by oxidizing bacteria, has occurred in a few localities. Conditions leading to
mineralogical alteration seem to be related to lowering ofthe groundwater table and to raising ofthe temperature in
the shale, particularly when the shale is highly fractured, These conditions enhance bacterial growth and oxidation
Special Site Conditions 81
ofthesulphideminerals.Wheretheseconditionsareencountered,specialprovisionsshouldbeconsideredtoreduce
heat loss from the building spaces to the supporting shale. Shales often weather rapidly when exposed to air in
excavations. Specialmeasuresarewarrantedtoavoidprolongedcontactwithair.
Astheeffectofchemicaldegradationoffoundationrockontheperformanceofthe structuremaybecomeobvious
onlyseveralyearsafterthecompletionofthestructure,theproblemcanonlybeavoidedbyrecognitionofpotential
difficultiesatthetimeofsiteexplorationandthetakingof remedialmeasuresduringdesignandconstructionphases
oftheproject.
5.4 Problem Conditions
5.4.1 Meander Loops and Cutoffs
Meandering streams from time to time develop chute cutoffs across meander bends, leaving disused, crescent-
shapedwater-filledchannels,calledoxbowlakes, whichlaterfillwithverysoft,organicsiltsandclays.Frequently,
thesecrescent-shapedfeatures canbedetectedinaerialphotographsorfrom accuratetopographicmaps.Thesoils
filling these abandonedwaterways canbe weakand highly compressible. It is necessary, therefore, to determine
theirlimitsandtoestablishthe depthsofthesoft,compressiblesoils.
5.4.2 Landslides
Thepossibilityoflandslidesshouldalwaysbeconsidered.Whereaslandslidesinanactivestatearereadilyidentifiable,
oldlandslidesorunstable soils in apotentiallandslidestate are moredifficulttodetect. Theymaybesignalledby
hummockyconditions,bybowedtrees,bytiltedorwarpedstrata,orbyotherevidenceofdisplacement.Thepresence
ofsensitive clays increases significantly the risk oflandslides. The stability ofsuch an area maybe so marginal
thatevenminordisturbances such as asmallexcavationnearthetoe ofaslope, orslightchanges in groundwater
conditionsordrainage,mayactivateaslide.It issimplertotakeprecautionsto avoidtriggeringalandslidethanto
stoponeinmotion,butitisbetterstillto avoidthelandslideorpotentiallandslideareaaltogether.
Thebanksof activelyerodingriversarealwaysinastateofmarginalstability.Thisisparticularlytrueof theoutside
bendsofsuchrivers,becauseactivecuttingisusuallyinprogress,especiallyduringperiodsof highwater.Ongoing
sloughingofaslopeisoftenanindicationofincipientfailure (EdenandJarrett, 1971).
Whenapotentiallandslideareaisidentified,careshouldbetakentoinvestigateitthoroughlyandtoadoptconstruction
• proceduresanddesignsthatwillimprovethestability.Boththesteepnessandheightofslopesareimportantfactors
influencingthe stability. Steepeninganaturalslope, orexcavatingnearthetoe, orplacingfill atthetop ofslopes,
eithertemporarily orpermanently, will adversely affectthe stability ofthe slope andmay resultin slope failure.
Proper design analysis is required whenever such construction works are contemplated. In particular, the design
mustconsidertheaspectsof aseasonallyvaryinggroundwaterregime,aswellastheeffectoffreezingandthawing
oftheground.Arrangementfordrainagemaybenecessary,atboththetopandthetoeoftheslope.Highslopesmay
require additionaldrainageplacedhorizontallyinthesidesoftheslopes.
5.4.3 Kettle Holes
During the deposition ofglacial outwash by the retreating continental ice sheets, large blocks ofice commonly
becamestrandedortrappedinthe outwash deposits. Upon melting, these blocks left depressions in the outwash
mantle, many ofwhichweresubsequentlyfilledwithpeatorwith softorganicsoils. Suchdepressions, knownas
kettle holes, range in diameter from a few meters to several hundred meters. Usually, the depths ofkettle holes
do not exceed 40 % oftheirminimum lateral dimensions; the depths are limited to the angles ofrepose ofthe
surroundingmaterials.Kettleholesarenormallyeasilyidentifiedas shallowsurfacedepressions.Insomelocalities,
however,allobvioussurfaceexpressionhasbeendestroyedbyfarmingorlevellingoperations.Insuchplacesaerial
photographswilloftenrevealadifferenceinvegetationcover.
82 Canadian Foundation Engineering Manual
5.4.4 Mined Areas
Sites above or adjacent to mined areas may be subject to severe ground movements and differential settlements,
resulting from subsidence or caving. For coal mines and other types of mines in horizontal strata, the zone of
disturbance generally does not extend laterally from the edge of the mined areas for a distance more than half the
depth of the mine below the surface. There is little control of the solution process that occurs in potash or salt mines,
and subsidence may extend several hundred meters beyond the edges of the mine or well field. Some evidence
indicates that the solution may extend farthest up the dip of the strata.
Investigations must be extremely thorough and all possible data on old mines should be obtained wherever such
differential settlement conditions are suspected. While good maps for active or recently closed mines may be
available, the accuracy and reliability of maps on plans for long abandoned mines are frequently poor. Furthermore,
there are many mined-out areas, especially in the older mining regions, for which no records are now available.
5.4.5 Permafrost
Permafrost is the thermal condition of the earth's crust and surficial deposits, occurring when temperature has been
below the freezing point continuously for a number of years. Half of Canada's land surface lies in the permafrost
region, either in the continuous zone where the ground is frozen to great depths, or in the discontinuous zone
where permafrost is thinner and there are areas of unfrozen ground (Brown 1970, Johnston 1981, AnderSland and
Anderson 1978).
The existence of permafrost causes problems for the development of the northern regions extending into the Arctic.
Engineering structures are, of course, greatly affected by the low temperatures. Ice layers and pore ice give soil a
rock-like structure with high strength. However, heat transmitted by buildings often causes the ice to melt, and the
resulting slurry is unable to support the structure. Many districts in northern Canada have examples of structural
damage caused by permafrost. In construction and maintenance of buildings, normal techniques must, therefore, be
modified at considerable additional cost. Expected changes in global climate are exacerbating these problems.
The accumulated experience from careful, scientifically planned and conducted investigations makes it technically
possible to build practically any structure in the permafrost area (Rowley et aI., 1975). Design and construction in
permafrost should be carried out only by those who possess special expertise.
5.4.6 Noxious or Explosive Gas
Noxious or explosive gases, of which methane is the most common, are occasionally encountered in clay or silt
deposits and in landfill sites containing decaying organic matter. They constitute a hazard to workers constructing
caissons or deep excavations. Gases may be found in shale or other sedimentary rock deposits in various areas of the
country. These may be a special hazard in deep excavations, or where borings have encountered such gases, which
have discharged into the construction area. The history of the local area of discharge of gas from borings, even if
only for short periods of time, should be especially noted and suitable precautions taken.
A particular problem may exist in tunnels or drainage systems where the oxidation of iron sulphides by bacteria can
deplete the free oxygen supply in poorly ventilated areas so much that persons entering may be asphyxiated. Such
areas should be thoroughly purged with clean air before anyone enters, and adequate ventilation must be assured
while people are present.
5.4.7 Effects of Heat or Cold
Soils should be protected against contact with surfaces that will be extremely hot or cold. Desiccation of clay soils
beneath furnaces or alongside ducts carrying hot gases will cause differential settlements Therefore, insulation and
ventilation is necessary around high-temperature structures.
Special Site Conditions 83
To prevent the potential collapse of retaining walls in the winter due to ice lens formation, the walls must be back-
filled with non frost-sensitive material for a distance equal to maximum frost penetration. The extent of the backfill
may be reduced by means of insulation behind the wall. Proper drainage must also be provided.
5.4.8 Soil Distortions
Soils distort both laterally and vertically under surface loadings. Lateral distortion is generally not significant,
but severe lateral distortions may develop in highly plastic soils toward the edge of surface loadings, even where
the loads are not sufficient to cause rupture or mud waves. These lateral distortions may affect foundations, or
structure-supporting piles, or pipe trenches located in or adjacent to areas subject to high-surface loading such as
along the edge of fills or a coal pile. Lateral distortions are a special hazard if sensitive clays are present. In such
soils, shearing strains accompanying the distortions may lead to significant loss of shear strength or possibly even
to flow failures or slides.
Both lateral and vertical displacements may develop when displacement-type piles are driven. Cohesive soils are
especially subject to such displacement. Previously driven piles or existing foundations may be displaced, or the soil
movements may result in excessive pressures on retaining walls, on sheeting for excavations, or on buried pipes.
Heaved piles may be redriven and used. If there is significant lateral displacements the piles may be kinked or
bowed beyond the safe limit ofuse. These hazards must be evaluated in the investigation program. Provision should
be made in design and construction procedures to ensure that other structures or piles are not damaged or displaced
by the driving ofadjacent piles. Preboring through the cohesive strata should be required ifthere is risk of disturbing
existing structures or previously driven piles.
5.4.9 Sulphate Soils and Groundwater
Sulphates in the soil and groundwater can cause significant deterioration of Portland cement concrete. Because
contact ofconcrete with sulphates invariably is due to sulphate solution in the groundwater, isolation ofthe concrete
by interception or removal ofsulphate-laden waters will prevent deterioration ofthe concrete. An alternative so lution
is to use sulphate-resistant cement in the concrete.
The presence of sulphates in the groundwater does not automatically justify the use of sulphate-resistant cement.
High-quality watertight concrete is less susceptible to deterioration by sulphates than lower quality concrete.
Furthermore, the use of sulphate-resistant cement does not necessarily make the concrete sulphate-proof.
. ~ .
84 Canadian Foundation Engineering Manual
Earthquake - Resistant Design
6 Earthquake - Resistant Design
6.1 Introduction
Earthquake shaking is an important source of extemalload that must be considered in the deSIgn of civil engineering
structures because of its potential for disastrous consequences. The degree of importance of earthquake loading at
any given site is related to a number of factors including:
• the composition the probable intensity and likelihood of occurrence of an earthquake;
the magnitude of the forces transmitted to the structures as a result of the earthquake ground motions
(displacement, velocity and acceleration);
• the amplitude, duration and frequency content of strong ground motion; and
• and behaviour of the subsoils.
Hazards associated with earthquakes include ground shaking, structural hazards, liquefaction, landslides, retaining
structure failures, and lifeline hazards. The practice of earthquake engineering involves the identification and
mitigation of these hazards. With the advancement of our knowledge regarding earthquake phenomena and the
development of better earthquake-resistant design procedures for different structures, it is possible to mitigate the
effects Qf strong earthquakes and to reduce loss of life, injuries and damage. However, it is extremely difficult, and
in many cases impossible, to produce an earthquake-proof structure. Depending on the type ofstructure and its use,
the foundation conditions, and the costs involved, a structure can, generally, only be designed to be more resistant
(not immune) to an earthquake.
Many important developments in the field ofearthquake engineering have occurred in the last four decades. Advanced
structural seismic analysis methods, comprehensive experimental procedures for the assessment and evaluation of
the behaviour of different types of soil, and considerable data on the performance of different structures and soil
profiles during earthquakes are available to help designers in producing earthquake-resistant designs. Geotechnical
earthquake engineers have to address a number of issues when designing safe structures in a seismic environment.
They have to establish design ground motions, assess the seismic capacity and performance offoundations, consider
the interaction effects between structures and the supporting ground, and evaluate the effects of the earthquake
excitation on the strength parameters of the soil. Each of these issues represents a category of problems that varies
according to the type of structure under consideration.
The purpose of this chapter is to present some of the key concepts and procedures used by geotechnical earthquake
engineers to design safer structures in a seismic environment. References that give detailed accounts of the
procedures will be provided as needed. However, situations that involve a high risk of seismic hazards, and bridges,
tall buildings or dams resting on soft foundation soils, generally require detailed dynamic analysis by engineers very
knowledgeable in earthquake engineering. Some of the seismological concepts and terminology will be given first
to enable the geotechnical engineer to understand the basis of both earthquake characterization and seismic design
concepts.
Earthquake - Resistant Design 85
6.2 Earthquake Size
The size of an earthquake can be described based on its effects (Earthquake Intensity); the amplitude of seismic
waves (Earthquake Magnitude); or its total released seismic energy (Earthquake Energy).
6.2.1 Earthquake Intensity
Earthquake intensity is the oldest measure and uses a qualitative description of the earthquake effects based on
observed damage and human reactions. Different scales of intensity include the Rossi-F orel scale (RF); the Modified
Mercalli Intensity scale (MMI) that represents conditions in California; the Japanese Meteorological Agency scale
(JMA) used in Japan; and the Medvedev-Sponheuer-Karnik scale (MSK) used in Central and Eastern Europe.
6.2.2 Earthquake Magnitude
Most scales of earthquake magnitude are based on some measured quantity of ground shaking and are generally
empirical. Most of these magnitude scales are less sensitive in representing stronger earthquakes (referred to as
saturation.)
Richter Local Magnitude (Richter 1958): Defines a magnitude scale for shallow, local (epicentral distance less than
600 km) earthquakes in southern California.
ML = log A (6.1)
where
A the maximum trace amplitude (in microns) recorded on a Wood-Anderson seismometer located 100 km
from the epicentre of the earthquake.
Surface Wave Magnitude: A worldwide magnitude scale based on the amplitude ofRayleigh waves with a period of
about 20 s. It is used to describe the size of shallow (focal depth < 70 km), distant (epicentral distance> 1000 km)
or moderate to large earthquakes. It is given by
Ms = log A + 1.66 log i1 +2.0 (6.2)
where epicentral distance
A = maximum ground displacement (microns) and i1 = h' £ x 360°.
eart Clfcum erence
Body Wave Magnitude: A worldwide magnitude scale based on the amplitude of the first few cycles of p-waves. It
is used for deep focus earthquakes and is given by
Mb logA-logT+0.Oli1+5.9 (6.3)
where
A p-wave amplitude in microns, T p-wave period (about 1 s), and
epicentral distance x 3600.
i1
earth circumference
Moment Magnitude Mw: This is the only magnitude scale that is not subject to saturation because it does not depend
on ground shaking-levels. It is based on the seismic moment and is given by
M = log Mo -10.7
(6.4)
w 1.5
in which
Mo = the seismic moment in dyne-cm =~ r D ,
-
86 Canadian Foundation Engineering Manual
where
~ = the mpture strength of the material along the fault, Ar = the rupture area and D the average amount of
slip.
These quantities can be estimated from geologic records for historical earthquakes or from the long-period
components of a seismogram (Bullen and Bolt 1985).
6.2.3 Earthquake Energy
The total seismic energy released during an earthquake is estimated by
log E = 11.8 + 1.5 Ms ( 6.5)
where
E is expressed in ergs. This relationship is also applicable to moment magnitude.
6.3 Earthquake Statistics and Probability of Occurrence
The rate of OCCUlTence of an earthquake with a magnitude equal to or greater than M for a given area and time may
be estimated by (Gutenberg and Richter 1944)
logloN(M) = a bM (6.6)
where
N(M) is the number of earthquakes ~ M (commonly per year) and a and b are constants for a given seismic
zone and are established by fitting the available earthquake data. Fitting Equation 6.6 to incomplete data may
indicate, incolTectly, higher OCCUlTence rates for larger earthquakes. It is also worth noting that Equation 6.6
does not always hold.
The probability of OCCUlTence of at least one earthquake with a magnitude ::::: M in a given time can be
calculated by
P = 1 - e -NI
(6.7)
e
where
N is the rate of OCCUlTence per year and t is the time period in years under consideration.
The seismic loads used in the National Building Code of Canada (NBCC 2005) are based on a 2 per cent probability
of exceedance over 50 years (a 2475-year earthquake). This means that over a 50-year period there is a 2 per cent
chance that the ground motions given in the NBCC (2005) will be exceeded.
6.4 Earthquake Ground Motions
The ground motions produced by earthquakes at a particular site are influenced by many factors and can be quite
complicated. They are a function of the distance from the earthquake's causative fault, and the depth, mechanism
and duration of the fault mpture causing the earthquake as well as the characteristics of the soil profile at the site.
In practice, three translational components, the vertical and two perpendicular horizontal directions of ground
motion are recorded. The significant characteristics of the ground motion (known as ground motion parameters) for
engineering purposes are: the amplitude; frequency content; and duration of the motion.
To evaluate the ground motion parameters, measurements of ground motions in actual earthquakes are required.
Instmments used to accomplish these measurements are seismographs that produce seismograms (velocity response)
and accelerographs that produce accelerograms (acceleration response).
Earthquake - Resistant Design 67
6.4.1 Amplitude Parameters
The ground motion is commonly described with a time history of the acceleration, velocity or displacement. The
amplitude is generally characterized by the peak value of acceleration (measured). Peak values of velocity and
displacement can be calculated by integrating the acceleration time history. Alternatively, when using the response
spectrum approach, the peak values of velocity and displacement can be computed approximately by
a(ro)=rov(ro)=ro 2U(ro) (6.8)
where
U, v and a are the transfOlmed displacement, velocity and acceleration obtained by subjecting the measured
acceleration time history to a Fourier transfonn, and co is the predominant circular frequency of the
ealthquake.
6.4.1.1 Peak Acceleration
The peak horizontal acceleration (PHA) is obtained as the maximum resultant due to the vector sum oftwo olthogonal
components. It is unlikely that the maximum acceleration in two orthogonal components occur simultaneously,
however, and the PHA is taken in practice as the maximum measured horizontal acceleration. Horizontal
accelerations are used to describe ground motions and their dynamic forces induced in stiff structures. The peak
vertical acceleration (PVA) is less important for engineering purposes and can be taken to be approximately as two
thirds of PHA. Ground motions with high peak accelerations and long duration are usually destructive.
6.4.1.2 Peak Velocity
The peak horizontal velocity (PHV) better characterizes the ground motions at intennediate periods, 0.4 s > T >
0.2 s. For flexible structures, the PHV may provide a more accurate indication of the potential for damage during
earthquakes in the intennediate period range.
6.4.1.3 Peak Displacement
Peak displacements are associated with the lower frequency components ofthe ground motion. They are difficult to
detennine accurately and, as a result, are less commonly used as a measure of ground motion.
6.4.1.4 Seismic Regions of Canada
Ground motion probability values are given in tenns of probability of exceedance, that is the likelihood of a given
horizontal acceleration or velocity on finn soil sites, being exceeded during a particular time period. The 2005
National Building Code of Canada (NBCC 2005) presents the seismic hazard for Canada in tenns of a probabilistic
based unifonn hazard spectrum, replacing the probabilistic estimates of peak ground velocity (PGV) and peak
ground acceleration (PGA) In the earlier codes. Spectral acceleration at 0.2, 0.5, 1.0 and 2.0 second periods and
peak acceleration fonn the basis of the seismic provisions ofNBCC (2005),
Eastern and western Canada are treated slightly differently because of the different properties of the crust in these
regions, Figure 6.1 shows the earthquakes and the regionalization used and identifies in a general way the low-
seismicity central part ofCanada defined as "stable Canada." The different physical properties of the crust in eastern
and western Canada and the different nature of the earthquake sources in south-western Canada required the use of
four separate strong ground motion relations as detailed by Adams and Halchuk (2004). Seismic hazard to the west
of the leftmost dashed line on Figure 1 has been calculated using western strong ground motion relations; eastern
relations are used for the remaining regions.
88 Canadian Foundation Engineering Manual
•
Magnitude
. 2.7·3.9 It 5.0 - 6.4
.. 4.0 . 4.9 • 6.5
FIGURE 6.1 Map ofCanada (showing the earthquake catalogue usedfor the 4th Generation model together
with dashed lines delimiting the eastern and western seismic regions and the "stable Canada" central region.)
The spectral acceleration parameters are denoted by Sa(T), where T is the period and are defined later in Tables
6.1B and C (Section 6.5.1.1) for different soil conditions. The PGA values are also presented for use in liquefaction
analyses. The NBCC (2005) explicitly considers ground motions from the potential Cascadia subduction earthquake
located off the west coast of Vancouver Island. While the amplitudes of such an earthquake are expected to be
smaller than from local crustal earthquakes, the duration of shaking will be greater which has implications for
liquefaction assessment.
. Seismic hazard values were. calculated for a grid extending over Canada and used to create national contour maps
such as Figure 6.2. Figure 6.3 shows the Uniform Hazard Spectra (UHS) for a few major cities to illustrate the range
and period dependence of seismic hazard across Canada.
12 12 20 40 60 80 100 120 %g
FIGURE 6.2 Sa(O.2) for Canada (median values of5 % damped spectral acceleration
for Site Class C and a probability of2 %/50 years)
Earthquake. Resistant Design 89
···1
0.01 H--------i------t---
0.1 0.2 0.5
Period (seconds)
0.005 '-'-----"'-------"'------------'
1 2
FIGURE 6.3 Uniform Hazard Spectra for median 2 %/50 year ground motions on Site Class Cfor key cities
6.4.2 Frequency Content
The dynamic response of structures is very sensitive to the frequency content of the loading. Earthquake excitations
typically contain a broad range of frequencies. The frequency content describes the distribution of ground motion
amplitudes with respect to frequency, which can be represented by a Fourier Amplitude Spectrum (i.e., a plot of
Fourier amplitude versus frequency) or a Response Spectrum. The predominant circular frequency, (0, in Equation
6.8 is defined as the frequency corresponding to the maximum value of the Fourier amplitude spectrum. The value
of (0 can be approximated by the number of zero crossings per second in the accelerogram mUltiplied by 21(.
6.4.3 Duration
The duration of shaking significantly influences the damage caused by an earthquake. The liquefaction of loose
saturated sand depends on the number of stress reversals that take place during an earthquake. Earthquakes oflonger
duration are most likely to cause more damage.
The duration is evaluated from the accelerogram. Different methods are specified to evaluate the duration of strong
motion in an accelerogram. The duration can be defined as the time between the first and last exceedances of a
threshold acceleration (usually 0.05 g), or as the time interval between the points at which 5 % and 95 % ofthe total
energy has been recorded.
6.5 Building Design
It is almost impossible to design buildings that remain elastic for all levels of earthquakes. Therefore, the intention
of building codes and provisions is not to eliminate earthquake damage completely. Rather, structures should be
designed to resist:
1. a moderate level earthquake, which has a high probability ofoccurring at least once during the expected life
of the structure, without structural damage, but possibly with some non-structural damage; and
2. a major level earthquake, which has a low probability of occurrence, without collapse, but possibly with
some structural damage.
-
90 Canadian Foundation Engineering Manual
In general, there are two procedures to the earthquake-resistant design of buildings: a static analysis procedure in
which the earthquake loading is characterized by equivalent static forces and dynamic analysis procedures. The
dynamic analysis procedures include linear analysis using either the Modal Response Spectrum Method where the
earthquake loading is characterized by design response spectra or the linear time-history analysis, and nonlinear
time-history analysis.
6.5.1 Equivalent Static Force Procedure
The static approach specified in the NBCC (2005) is used for structures satisfying the conditions of sentence 4.1.8.6
ofthe code (e.g., regular building with a height than 60 m and natural lateral period less than 2 s). The procedure
involves calculating a design seismic base shear proportional to the weight of the structure. The equivalent lateral
seismic force procedure of the NBCC (2005) specifies that a structure should be designed to resist a minimum
seismic base shear, V, given by
(6.9)
except that V shall not be less than, V = S(2.0)M)E W I(RdRo)
where
T. is fundamental period of the structure, SeT) the design spectral acceleration, expressed as a ratio to
gravitational acceleration, for a period of T, Mv Factor to account for higher mode effect on base shear, as
defined in NBCC Sentence 4.1.8.11.(5), I = Earthquake importance factor of the structure, as described in
E
NBCC Sentence 4.1.8.5.(1), W= weight of the structure, Ductility related force modification factor and
R = Overstrength related force modification factor.
o
6.5.1.1 DeSign Spectral Acceleration, S (T)
The design spectral acceleration values ofS(T) is determined as follows (linear interpolation is used for intermediate
values ofT):
SeT) = F.S.(O.2) forT::: 0.2 s (6.10)
F S (0.5) or F S (0.2) whichever is smaller for T 0.5
v a a a
FvS.(l.O) forT = 1.0 s
F S (2.0) for T =2.0 s
v •
FvS .(2.0)/2 for T 2: 4.0 s
where
S.(T) = the 5 % damped spectral response acceleration values for the reference ground conditions (Site Class
C in NBCC Table 4. 1.8.4.A), and F. and Fv are acceleration and velocity based site coefficients given inNBCC
Tables 4.1.8.4.B and 4.1.8.4.C using linear interpolation for intermediate values of S.(0.2) and S.(1.0).
6.5.1.2 Foundation Effect
The soil conditions at a site have been shown to exert a major influence on the type and amount of structural damage
that can result from an earthquake. As the motions propagate from bedrock to the surface, the soil layers may
amplify the motions in selected frequency ranges around their natural frequencies. In addition, a structure founded
on soil, with natural frequencies close to thos.e of the soil layers, may undergo even more intense shaking due to
the development of a state of quasi-resonance between the structure and the foundation soil. The natural circular
frequency of a soil layer in horizontal direction, ro
u
' is given by
nY,
(6.l1 )
(i) =--
u 2h
where
V
,
is the shear wave velocity of the soil layer and h is its thickness.
Earthquake. Resistant Design 91
Direct calculation of the local site effects is possible using suitable mathematical models such as lumped mass
approaches and finite element models with realistic soil properties and assuming vertically propagating shear
waves or Rayleigh waves from the bedrock during the earthquake. In these analyses, the source mechanism of the
earthquake and the geology of the travel path are incorporated in the bedrock input motion.
The seismic provisions ofthe NBCC (2005) incorporate site effects by categorizing the wide variety of possible soil
conditions into seven types classified according to the average properties of the top 30 m of the soil profile. This
classification is based on the average shear wave velocity, V
s
' standard penetration resistance, N
60
, or undrained
shear strength, su' as shown in Table 6.1A. The factors Fa and F v given in Tables 6.1B and 6.1 C reflect the effect of
possible soil amplification (or de-amplification) and soil-structure interaction resonance into the estimation of the
seismic design forces for buildings having no unusual characteristics.
While the site coefficients Fa and Fv provide a simple way of introducing surface layer effects for conventional
buildings, a fuller evaluation of amplification should be completed for areas of significant seismic activity and/or
non-conventional buildings.
Quasi-resonance conditions are of particular impoFtance when the predominant period ofthe input rock motion (or
firm ground) is close to the fundamental period of the less-firm surface layers since this results in amplifications of
two to five. In this case, the firm ground or underlying rock accelerations must be modified for potential amplification
by less-firm surface layers. The site coefficients are fairly realistic except for this case.
TABLE 6.1A Site Classification/or Seismic Site Response
(Table 4.1.B.4.A. in NBCC 2005)
Not applicable Not applicable B Rock 760 < v's 1500
Very Dense Soil
C
D
E
and Soft Rock
Stiff Soil
Soft Soil
360 < V, < 760 N60> 50 su> 100kPa
180<V
s
<360 15:::: N60 :::: 50 50 < su s100kPa
V, <180 N60 < 15 s < 50kPa
u
E
Any profile with more than 3 m of soil with the following characteristics:
Plastic index Ip > 20
Moisture content w 2: 40%, and
Undrained shear strength < 25 kPa
F
(llOthers
Site Specitic Evaluation Required
Note (I) Other soils include:
a) Liquefiable soils, quick and highly sensitive clays, collapsible weakly cemented soils, and other soils
susceptible to failure or collapse under seismic loading.
b) Peat and/or highly organic clays greater than 3 m in thickness.
c) Highly plastic clays (Ip> 75) with thickness greater than 8 m.
d) Soft to medium stiff clays with thickness greater than 30 m.
92 Canadian Foundation Engineering Manual
TABLE 6.1 B Values ofFa as a Function ofSite Class and S/0.2)
(Table 4.1.B.4.B in NBCC 20OS)
B 0.8
c 1.0
0.9
1.0 1.0
1.2 1.1 1.1
1.4 1.1 0.9
(2) (2) (2)
TABLE 6.1 C Values ofF" as a Function ofSite Class and S/1. 0)
(Table 4.1.B.4.C in NBCC 2005)
c 1.0
D 1.4
E 2.1
F
(2)
1.0 1.0 1.0
1.3 1.2 1.1
2.0, 1.9 1.7
(2) (2) (2)
1.0
1.1
1.7
(2)
Note (2) F and F for site Class F are determined by performing site specific geotechnical investigations and dynamic
a v
site response analyses.
The seismic design procedures outlined in the NBCC (2005) are based on the assumption that the structures are
founded on a rigid base that moves with the ground surface motion. Real foundations possess both flexibility and
damping capacity that alter the structural response. The flexibility of the foundation increases the fundamental
period of a structure and the damping dissipates energy by wave radiation away from the structure and by hysteretic
damping in the foundation, thus increasing the effective damping of the structure. These effects are referred to as
soil-structure interaction and are not considered explicitly in the code. For most buildings considered by the code,
neglecting soil-structure interaction results in conservative designs. However, neglecting soil-structure interaction
effects may not be conservative for tall structures and/or structures with substantial embedded parts and should be
considered explicitly in a dynamic analysis.
6.5.1.3 Importance Factor, IE
Some structures are designed for essential public services. It is desirable that these structures remain operational
after an earthquake (defined as post disaster in the code). They include buildings that house electrical generating and
distribution systems, fire and police stations, hospitals, radio stations and towers, telephone exchanges, water and
sewage pumping stations, fuel supplies and schools. Such structures are assigned an IE value of 1.5. The importance
factor I 1.3 is associated with special purpose structures where failure could endanger the lives of a large number
of people or affect the environment well beyond the confines of the bUilding. These would include facilities for the
Earthquake" Resistant Design 93
manufacture or storage of toxic material, nuclear power stations, etc.
6.5.1.4 Force Reduction Factors, Rd and System Overstrength Factors, Ro
The values of Rd and Ro and the corresponding system restrictions shall conform to NBCC Table 4.1.8.9 (Table 6.2).
When a particular value of Rd is required, the associated Ro shall be used. For combinations of different types of
SFRS acting in the same direction in the same storey, RdRo shall be taken as the lowest value of RdRo corresponding
to these systems.
TABLE 6.2 SFRS Force Modification Factors (R), System Overstrength Factors (R)
and General Restrictions (1)
(Table 4.1.8.9. in NBCC)
Forming Part of Sentence 4.1.8.9 (1)
Steel Structures Designed and Detailed According to CSA S16
•
•
Ductile moment resisting frames
····················"·--··"P.··.·, .. ···_-, .. ,·_- .. ,, ... -.... , ......
Moderately ductile moment resisting
frames
5.0
3.5
1.5
.. ····1
1.5
NL
NL
NL
......
NL
NL
NL
NL
NL
NL
NL
•
Limited
frames
ductility moment resisting
2.0 1.3 NL NL 60 NP NP
Moderately ductile concentrically
braced frames
• Non-chevron braces
• Chevron braces
• Tension only braces
3.0
3.0
3.0
1.3
1.3
1.3
NL
NL
NL
NL
NL
NL
40
40
20
40
40
20
.. """, ....
I·····.. ··
40
40
20
...
., .............. , ..".,
Limited ductility concentrically braced
•
frames
• Non-chevron braces
• Chevron braces
• Tension only braces
2.0
2.0
2.0
1.3
1.3
1.3
NL
NL
NL
NL
NL
NL
60
60
40
60
60
40
60
60
40
•
•
•
Ductile eccentrically braced frames 4.0 1.5 NL
....... ... .................... ··· .. · .... ···1··· .... ····
Ductile frame plate shearwalls 5.0 1.6 NL
.................. . ....................... ..
Moderately ductile plate shearwalls 2.0 1.5 NL
... ' ... ,,",", .... " .....• 1.... , .•."" .... ""... , ......... H ..... ' .. ..
NL NL
····1··..·
NL NL
NL
I"
60
NL
NL
..........
60
NL
NL
60
•
Conventional construction of moment
frames, braced frames or shearwalls 1.5
1.3 NL NL 15 15 15
•
Other steel SFRS(s) not "'1.0 I 15+"15"\ NP I NP NP
Concrete Structures Designed and Detailed According to CSA A23.3
Ductile moment resisting frames 4.0 1.7 NL NL NL NL NL •
Moderately ductile moment resisting
40 60 40 NL NL 2.5 1.4
•
frames
NL NL NL NL NL 4.0 1.7 Ductile coupled walls •
" .. , .. - ...., ........... ,......................... , ... ,
_,L: ..
L_
94 Canadian Foundation Engineering Manual
Restrictions (2)
NL NL Ductile shearwalls
...... " ........... "".. ..
3.5 .! 1.6...." ..• ""...."".......-+..
Mo{lerate!lv ductile shearwalls NL 60
• • • Moment resisting frames 15 NP
. • Shearwalls 40 30
""""............ " ..... " ...
Other concrete
NP NP
•
above
Timber Structures Designed and Detailed According to CSA 086
Shearwalls
• Nailed shearwalls-wood based panel 3.0
•
Cases Where
NL
NL
60
NP
30
NP
• Shearwalls wbod based and gypsum
panels in combination
Braced or moment resisting frame with
ductile connections
•
• Moderately ductile
• Limited ductility
Other wood or gypsum based SFRS( s)
Not listed above
2.0
2.0
1.5
1.0
1.7
1.7
1.5
1.5
1.0
NL
NL
NL
NL
15
NL 30 20
NL 20 20
20
20
NP
Masonry Structures Designed and Detailed According to CSA 5304.1
•
•
•
•
•
Moderately ductile shearwalls
u ........................ ,.••• "" •••••• ." ................ _._. , .. ", ••••••• " •••• .,.,...
Limited ductility shear walls
Conventional Construction
• Shearwalls
• Moment resisting frames
Unreinforced masonry
Other masonry SFRS(s) not listed
above
2.0
1.5
1.5
1.5
1.0
1.0
1.5
1.5
1.5
1.5
1.0
1.0
NL
NL
NL
NL
30
15
NL
NL
60
30
15
..... " ..... , ....
NP
60 40
• ••••••.•••.• "."."n...
40 30
30
NP
NP
..........................,
NP
15
NP
NP
........... , .............
NP
40
30
IS
NP
NP
.................... ,.
NP
Notes to Table 6.2:
(1) See NBCC Sentence 4.1.8.10.
(2) Notes on restrictions:
NP in table means not permitted.
Numbers in table are maximum height limits in metres.
NL in table means system is permitted and not limited in height as an SFRS. Height may be limited elsewhere
in other Parts.
6.5.1.5 Higher Mode Factor Mv and Base Overturning Reduction Factor J
The seismic lateral force acting on a building during an earthquake is due to the inertial forces acting on the masses
of the structures caused by the seismic motion of the base. The motion of the structure is complex, involving the
Earthquake. Resistant Design 95
superposition of a number of modes of vibration about several axes. Table 4.1.8.11 of the NBCC (2005) (Table
6.3) assigns.Mv and J values to different types of stmctural systems, which are established based on design and
conshuction experience, and the perfonnance evaluation of stmctures in major and moderate ealihquakes. These
values account for the capacity of the stmctural system to absorb energy by damping and inelastic action through
several cycles of load reversaL
TABLE 6.3 Higher Mode Factor M"and Base Overturning Reduction Factor JIi.J1
(Table 4.1.8.11. in NBCC)
FOlming Part of Sentence 4.1.8.11.(5)
Type of Lateral
ReSisting Systems
" fr 1
I Mornent reslstll1g ames or
"coupled walls" (3)
< 8.0 Braced frames
Walls, wall-frame systems,
other (4)
Moment resisting frames or
"coupled walls" (3)
J ForT S
a
0.5
1.0 1.0 1.0
1.0 LO 1.0
l.0 1.2 1.0
1.0 1.2 1.0
1.0
0.8
0.7
0.7
:::: 8.0 ! Braced frames 1.0 1.5 1.0 0.5
Walls, wall-frame systems,
1.0 2.5 1.0 0.4
other systerns(4)
Notes:
(I) For values, of Mv between periods of, 1.0 and 2.0 s, the product S(TJM shall be obtained by linear
v
interpolation.
(2) Values of J between periods of 0.5 and 2.0 s shall be obtained by linear interpolation.
(3) Coupled wall is a wall system with coupling beams where at least 66 % of the base overturning moment
resisted by the wall system is carried by the axial tension and compression forces resulting from shear in
the coupling beams.
(4) For hybrid systems, use values corresponding to walls or carry out a dynamic analysis.
6.5.1.6 Distribution of Base Shear
The base shear is the sum of the inertial forces acting on the masses of the stmctures caused by the seismic motion
of the base. The motion of the shucture is complex, involving the superposition ofa number of modes of vibration
about several axes.
For shuctures with fundamental periods less than 0.7 s, the addition of the spectral-modal responses results in a
lateral inertial force distribution that is approximately triangular in shape, with the apex at the base. For buildings
having longer periods, higher forces are induced at the upper portion of the stmcture due to increasing contributions
to top storey amplitudes by all the contributing modes. The redistribution offorces is accounted for by applying pali
of the base shear as a concentrated force, Ft' to the top of the structure.
The total lateral seismic force, V, shall be distributed such that a portion, , shall be assumed to be concentrated
at the top of the building, where F{ is equal to 0.07 but need not exceed 0.25 V and may be considered as zero
where T
a
does not exceed 0.7 s; the remainder, V- F
,
shall be distributed along the height of the building, including
the top level, in accordance with the formula.
96 Canadian Foundation Engineering Manual
J1
F, (V )W,h, I(Ewjhj)
(6.12)
i=l
where
is the inertial force induced at any level x which is proportional to the weight W, at that level.
6.5.1.7 Overturning Moments
The lateral forces that are induced in a structure by earthquakes give rise to moments that are the product of the
induced lateral forces times the distance to the storey level under consideration. They have to be resisted by axial
forces and moments in the vertical load-carrying members. While the base shear contributions ofmodes higher than
the fundamental mode can be significant, the corresponding modal overturning moments for the higher modes are
smalL As the equivalent static lateral base shear in the NBCC (2005) also includes the contributions from higher
modes for moderately tall and tall structures, a reduction in the overturning moments computed from these lateral
forces appears justified. This is achieved by means ofthe multiplierJ as given in NBCC (2005) Table 4.1.8.11 (Table
6.3). If, however, the response of the structure is dominated by its fundamental mode, the overturning moment
should be calculated without any J-factor reductions. Alternatively, a dynamic analysis should be used to calculate
the maximum overturning moment.
6.5.1.8 Torsional Moments
The inertial forces induced in the structure by earthquake ground motions act through the centre of gravity of the
masses. If the centre of mass and the centre of rigidity do not coincide because of asymmetrical arrangement of
structural elements or uneven mass distributions, torsional moments will arise. The design should endeavour to
make the structural system as symmetrical as possible and should consider the effect of torsion on the behaviour of
the structural elements.
6.5.2 Dynamic Analysis
. For critical buildings and buildings with significant irregularities, the dynamic analysis approach is recommended
to improve the accuracy of calculation of the seismic response including the distribution of forces in the building.
The dynamic analysis approach includes response spectrum methods and time domain response methods.
6.5.2.1 Response Spectra
The response spectrum describes the maximum response of a Single Degree Of Freedom System (SDOF) to a
particular input motion and is a function of the natural frequency and damping ratio of the SDOF system, and the
frequency content and amplitude of the input motion. The response may be expressed in terms of acceleration,
velocity or displacement.
The maximum values of acceleration, velocity and displacement are referred to as the spectral acceleration, S ,
a
spectral velocity, Sv' and spectral displacement, S d' respectively. They can be related to each other as follows:
Sd=/ul
max
(6. 13a)
Sv=lul ~ f O S d
max
(6.13b)
(6. 13c)
where
(fJo is the natural circular frequency of the SDOF system. These response spectra provide a meaningful
characterization of earthquake ground motion and can be related to structural response quantities,
Earthquake Resistant Design 97
(6.14a)
(6.14b)
where
E is the maximum earthquake elastic energy stored in the structure, V is the structure elastic base shear
ma;: mar
and m is the mass of the structure. The base shear, however, would be less than that calculated by Equation
6.14b for structures that experience inelastic material behaviour (e.g., cracking of concrete and yielding of
steel) during an earthquake. However, this reduction is only allowed for structures that have the capacity to
deform beyond the yield point without major structural failure (ductile structures).
Most structures are not SDOF systems and higher modes may contribute to the response. This effect can be accounted
for approximately using the higher mode factors given in Table 6.3.
6.5.2.2 Design Spectra
Spectral shapes from real records are usually smoothed to produce smooth spectral shapes suitable for use in design.
Most of the design spectra commonly used are based on the Newmark-Hall approach. As an example, Figure 6.4
shows the design spectra (normalized to the maximum ground acceleration) developed by Seed and Idriss (1982)
and recommended for use in building codes. The National Building Code ofCanada (NBCC 2005) includes similar
smooth design spectra (which 'are not based on Newmark-Hall approach, but obtained directly from probabilistic
seismic hazard assessments based on spectral amplitudes, i.e., uniform hazard spectrum). Acceleration levels of
probable earthquakes can be used to scale the spectral shapes to provide design spectra of particular projects.
sos = FaSs
sD1 =F
v
S
1
T
0
= 0.2 Ts
T SD1
s =--
sDS
I
I
I
sos
-r-
I
I
I
I
I
I
s01
PGA
FIGURE 6.4 Example ofa design spectra
6.5.2.3 Site Specific Response Spectra
Site-specific response spectra are developed with due consideration of the following aspects:
I, Seismotectonic characterization: includes evaluation of seismic source, wave attenuation from the sources
to the site and site evaluation.
2. Assessment ofseismic exposure: involves probabilistic analysis of data from possible significant earthquake
-
98 Canadian Foundation Engineering Manual
sources including nearby, mid-field and far-field events to establish the events with the most likely significant
contribution to ground motions at the site.
3. Ground motion characterization: encompasses selection and scaling of rock input motion records from
earthquakes with magnitude, epicentral distance, types offaulting and site conditions similar to those of the
design events for the specific site. The site specific motions are then determined from the rock input motion
using ground response analysis (e.g., Schnabel et aL, 1972); and
4. Design ground motion specification: includes the specification ofsmooth response spectra, and the selection
of sets of representative ground motion time histories suitable for use in dynamic analysis of the structural
response.
For critical structures, spectra are usually developed for two different levels of motions, namely operating level
events and major level events. Operating level events are moderate earthquakes with a high probability ofoccurrence.
Structures are designed to survive these events without significant damage and to continue to operate. Major level
events are severe earthquakes with a low probability of occurrence, and significant damage, but not collapse, is
therefore acceptable. Furthermore, the seismic design of critical structures usually involves dynamic time-history
analyses using a number of ground motion records representative of operating level and design level events.
6.5.2.4 Soil-Structure Interaction Effects
The NBCC considers buildings sitting on firm ground (360 mls < V, < 760 mls. However; in most cases, buildings
are constructed with flexible foundations embedded in soil layers. The soil-structure interaction (SSI) influences the
seismic response of structures and should be investigated for cases involving critical or unconventional structures.
The soil-structure interaction modifies the dynamic characteristics of the structure:
1. It reduces the natural frequency ofthe soil-structure system to a value lower than that ofthe structure under
fixed-base conditions (structures found on rock are considered to be fixed-base).
2. It increases the effective damping ratio to a value greater than that of the structure itself. SSI also has
some important effects on the ground input motion and the seismic response of the structure. For example,
large foundation slabs can reduce the high frequency motions and hence reduce the input motions to the
structure, and uplift of foundation slabs can reduce forces transmitted to the structure. Furthermore, SSI
reduces the maximum structural distortion and increases the overall displacement by an amount that is
inversely proportional to soil stiffuess. Thus it tends to reduce the demands on the structure but because of
the increased flexibility of the system, the overall displacement increases. These effects can be important
for tall, slender structures or for closely spaced structures that may be subject to pounding when relative
displacements become large.
In a seismic soil-structure interaction analysis, a structure with finite dimensions interacts dynamically through the
structure-soil interface with a soil of infinite dimensions. A detailed analysis for this problem may be desirable and
can be accomplished effectively using the finite element (or finite difference) method. Methods for the analysis of
soil-structure interaction can be divided into two main categories: direct methods and multistep methods.
Direct Method: entire soil-foundation-structure system is modelled and analysed in one single step. Free-
field input motions are specified along the base and sides of the model and the resulting response ofthe interacting
system is computed. It is preferable that the base of the mesh is placed at the top of the bedrock. The governing
equations of motion for this case are
(6.15)
in which
{u} are the relative motions between nodal points in the soil or structure and the top ofthe rock and {ub(t)}
6.6
Earthquake. Resistant Design 99
arethespecifiedfree-field accelerationsattheboundarynodalpoints.
The ground motion, U
b
, is prescribedforthe surface ofbedrock orfirm ground. When the near surface soils are
not firm ground, as is most oftenthe case, the corresponding free-field motionofthe model, fib' is appliedat the
appropriatedepthas outcropmotionandthe surfacemotionis predictedaccordingly.Thesurfacemotionpredicted
reflectsthesoilconditionsatthesite. Inthisprocess,nonlinearityof soilbehaviourshouldbeaccountedforinorder
to avoidumealisticamplificationoftheresponse.
Equation6.15 is solvedinthefrequency domainusingFFT, timedomainusingtheWilsoneormodifiedNewton-
Raphsonmethod,orin terms of modalanalysis.
Several software packages are available now that have the capability to analyse the soil-structure interaction
probleminthetimedomainaccountingfornonlinearitywithinthesoilandatthestructure-soilinterface.Thistype
ofanalysisis recommendedforcriticalstructuresorwhenperformance-baseddesignis considered.
Multi-step Method: Inthismethod, emphasis is placedon thenotations ofthe kinematic andinertialinteraction.
Thisis accomplishedby isolatingthe two primarycauses ofsoil-structureinteraction. Becausethis methodrelies
onsuperposition, it is limitedto the analysis oflinear(orequivalentlinear) systems. The analysis isdescribedas
follows.
Kinematic interaction: In the free-field, an earthquake will cause soil displacements in both the horizontal and
verticaldirections. Ifafoundation on thesurface of, orembeddedin, asoildepositis sostiffthatit cannotfollow
the free-field deformationpattern, its motion will be influencedbykinematic interaction, evenifit hasno mass.
Kinematicinteractionwilloccurwheneverthestiffnessof thefoundationsystemimpedesdevelopmentof thefree-
field motions. Kinematicinteraction can also induce different modes ofvibration in a structure. Forexample, if
verticallypropagatingS-waveshaveawavelengthequaltothedepthofthefoundationembedment,anetoverturning
momentcanbeappliedtothefoundation,therebycausingthefoundationtorockaswellastotranslate.Horizontally
propagatingwavescan,in asimilarmanner,inducetorsionalvibrationofthefoundation.
Themulti-stepanalysisproceedsas follows:
1. Akinematicinteractionanalysis,inwhichthefoundation-structuresystemisassumedto havestiffnessbut
nomass,isperformedandthefoundationinputmotionis obtained.
2. The foundation input motion is applied to obtain an inertial load on the structure in inertial interaction
analysisinwhichthemassofthefoundationandstructureisincluded.
Liquefaction
Massive failures occurred during the Alaska (1964) and Niigata (1964) earthquakes showed the importance of
damagecausedbygroundfailure andtheneedfor an analysisofthesuitabilityofthesiteselectedforthestructure
beforeits design and construction. Whilein certaincases ofgroundfailure itis possibleto designsafestructures
by properly designing their foundations, in other cases some mitigating measures must be taken such as soil
improvement.
Seismic liquefaction refers to a sudden loss in stiffness and strength ofsoil due to cyclic loading effects ofan
earthquake. The loss arises from a tendency for soil to contract under cyclic loading, and ifsuch contraction is
prevented or curtailed by the presence ofwater in the pores that cannot escape, it leads to a rise in pore water
pressureandaresultingdropineffectivestress.Iftheeffectivestressdropstozero(100%porewaterpressurerise),
the strength andstiffnessalso dropto zero andthesoilbehavesas aheavyliquid. However,unless thesoilisvery
looseitwilldilate and regainsomestiffnessandstrength,as it strains.Thepost-liquefactionstrengthis called the
residualstrength andmaybe 1to 10timeslowerthanthestaticstrength.
~
100 Canadian Foundation Engineering Manual
Ifthe residual strength is sufficient, it will prevent a bearing failure for level ground conditions, but may still
resultin excessivesettlement. Forsloping ground conditions, ifthe residual strength is sufficient itwill preventa
flow slide, butdisplacementscommonlyrefen-edto as lateral spreading, couldbe excessive. Inaddition, evenfor
level groundconditionwhere there is no possibility ofaflow slide and lateralmovements maybetolerable, very
significantsettlements mayoccurdue to dissipationofexcessporewaterpressures duringand afterthe periodof
stronggroundshaking.
Duringanealthquake,significantdamagecanresultduetoinstabilityofthesoilintheareaaffectedbytheseismic
waves. The soilresponsedepends onthe mechanicalcharacteristicsofthe soillayers,thedepthofthewatertable
andthe intensityanddurationofthe groundshaking. Ifthe soilconsistsofdeposits ofloosegranularmaterials it
maybecompactedbythegroundvibrationsinducedbytheearthquake,resultinginlargesettlementanddifferential
settlementsofthe groundsurface.Thiscompactionofthesoilmayresultinthedevelopmentofexcesshydrostatic
pore water pressures ofsufficientmagnitude to cause liquefaction of soil, resulting in settlement, tilting and
ruptureofstructures.
Liquefactiondoesnotoccuratrandom,butisrestrictedto certaingeologicandhydrologicenvironments,primarily
recently deposited sands and silts in areas withhigh ground water levels. Generally, the youngerandlooser the
sediment,andthehigherthewatertable,themoresusceptiblethesoilistoliquefaction.Sedimentsmostsusceptible
to liquefactionincludeHolocenedelta,riverchannel,floodplain,andaeoliandeposits,andpoorlycompactedfills.
Liquefaction has been most abundant in areas where ground water lies within 10mofthe ground surface; few
instances ofliquefactionhaveoccun-edinareaswithgroundwaterdeeperthan20m. Densesoils, includingwell-
compactedfills, havelowsusceptibilitytoliquefaction.
6.6.1 Factors Influencing Liquefaction
Thefollowingfactors influencetheliquefactionpotentialofagivensite:
1. Soil type: saturated granular soils, especially fine loose sands and reclaimed soils, with poor drainage
conditionsaresusceptibleto liquefaction.
2. Relativedensity: loosesandsaremoresusceptibleto liquefaction, e.g., sandwithDr> 80%isnotlikelyto
liquefy.
3. Confiningpressure: theconfiningpressure,cr ' increasestheresistanceto liquefaction.
o
4. Stress due to earthquake: as the intensity ofthe ground shaking increases, the shear stress ratio, (T/cr )'
o
increasesandtheliquefactionis morelikelyto occur.
5. Durationofearthquake: as the duration ofthe earthquakeincreases,the numberofstress cycles increases
leadingtoanincreaseintheexcessporewaterpressure, andconsequentlyliquefaction.
6. Drainageconditions:poordrainageallowsporepressurebuild-upandconsequentlyliquefaction.
6.6.2 Assessment of Liquefaction
Liquefactionassessmentinvolves addressingthefollowingconcerns:
evaluation ofliquefaction potential, Le., will liquefaction be triggered in significant zones ofthe soil
foundationforthedesignearthquake,andifso,
couldabearingfailure orflow slideoccurandif not,
arethedisplacementstolerable?
Theseeffectscanbe assessedfromsimplifiedordetailedanalysisprocedures.
Earthquake - Resistant Design 101
Simplified analysis ofliquefaction triggering involves comparing the Cyclic Stress Ratio, CSR caused by the design
earthquake with the Cyclic Resistance Ratio, CRR that the soil possesses due to its density.
6.6.3 Evaluation of Liquefaction Potential
Liquefaction potential can be evaluated if the cyclic shear stress imposed by the earthquake and the liquefaction
resistance of the soil are characterized. Methods used to evaluate the liquefaction potential can be categorized into
two main groups: methods based on past perfonnance and analytical procedures.
6.6.3.1 Liquefaction Potential Based on Past Performance
Based on the damage survey and field observations after earthquakes, the liquefaction potential can be identified from
the perfonnance of similar deposits. An example for this approach is the method developed based on observations
from the Niigata Earthquake (1964). In this method, the standard penetration resistance, N, and the confining
pressure are used to characterize the liquefaction resistance of soil. Based on this approach, it may be suggested that
sands with N > 20 are not susceptible to liquefaction. The earthquake magnitude, M, and the epicentral distance of
liquefied sites are used to characterize the cyclic loading from the earthquake. Based on observations from previous
earthquakes, it may be suggested that earthquakes with magnitudes less than 6 and/or epicentral distances greater
than 500 km may not induce liquefaction.
6.6.3.2 Analytical Procedure
A number of approaches have been developed over the years to evaluate the liquefaction potential. The most common
of these, the cyclic stress approach, is briefly presented.
Following the procedure proposed by Seed and ldriss (1971), the initial liquefaction is defined as the point at which
the increase in pore pressure, u , is equal to the initial effective confining pressure [i.e., when u = cr :cJ.
excess excess J
The cyclic stress approach involves two steps and their comparison:
1. Calculation of cyclic shear stresses due to earthquake loading at different depths expressed in tenns of
cyclic stress ratio, CSR.
2. Characterization of liquefaction resistance of the soil deposits expressed in tenns of cyclic resistance ratio,
CRR.
These two steps are described as follows.
6.6.3.2(1) Characterization of Earthquake Loading
The cyclic stress approach is based on the assumption that excess pore pressure generation is fundamentally related
to the cyclic shear stresses. The earthquake loading is characterized by a level ofunifonn cyclic shear stress, derived
from ground response analysis or from a simplified procedure, applied at an equivalent number of cycles.
Ground response analyses should be used to predict time histories of shear stress at different depths within a soil
deposit. An equivalent unifonn shear stress is then calculated as 0.65 of the peak shear stress obtained.
Seed's Simplified Equation: For small projects, the simplified procedure proposed by Seed and Idriss (1971) can
be used to estimate the cyclic shear stress due to the earthquake for level sites, in tenns of the cyclic stress ratio,
CSR, Le.:
(6.16)
102 Canadian Foundation Engineering Manual
where
a == the peak ground surface acceleration for the design earthquake, g := gravity acceleration, (j" := total
overburden pressure, cr:, = the initial effective overburden pressure and rd = stress reduction value at
the depth of interest that accounts approximately for the flexibility of the soil profile. The stress reduction
coefficient, r
d
, can be approximated by
r,,= 1.0 - 0.00765z for z S 9.15m (6.l7a)
rd=1.174-0.0267z for 9.l5m<zs23m (6.17b)
where
z is the depth below the ground surface in metres.
Ground response analysis using equivalent-linear total stress programs: Liquefaction Triggering is traditionally
assessed by conducting an ground response analysis using the 1 D program SHAKE.
The analyses can also be conducted in 2D using the program FLUSH and others.
The induced cyclic stress ratio (CSR) (0.65 of the peak value of 'cyJa'vo) from the ground response analysis is
equated to the cyclic resistance ratio (CRR) to obtain a factor of safety against liquefaction triggering as indicated
in equation 6.18. Input for the ground response analysis would be the firm ground time histories. As indicated in
equation 6.18 below, corrections are typically made for magnitude (K
m
), confining stress (K,) and sometimes static
bias (K):
Factor of Safety against liquefaction = (CRR x K x K x K )/CSR (6.18)
C1 In a
Ground response analysis using non-linear total-stress program with hysteretic damping: In the equivalent
linear analyses, the same damping is used for both small strain and large strain cycles throughout the duration of
shaking. In reality, small strain cycles will have significantly lower damping than high strain cycles. This shortfall
can be addressed by using a constitutive model with hysteretic damping. Such models have been developed to run
within FLAC and other programs and can be used to assess liquefaction triggering in both 1 D and 2D approximations.
The CSR would typically be set equal to 0.65 of the peak value and factor of safety against liquefaction would be
calculated using equation 6.18. The method should be calibrated using measured responses from actual earthquakes
prior to use. Other advantages of the method are that it can be readily used in 2D analyses and therefore used with
sloping ground surface. Structural elements can be included and soil-structure effects modeled if desired.
2D total stress models which track the dynamic shear stress history within each element and trigger liquefaction if
a specified threshold is reached are also available.
Ground response analysis using non-linear effective stress programs: These procedures can be used to assess
both liquefaction triggering and the consequences of liquefaction.
6.6.3.2(2) Seismic Hazard, Choice of Magnitude and Records
This section deals with the earthquake hazard, the magnitude ofthe earthquake to be used in liquefaction assessment,
and suggestions on earthquake records to be used.
Hazard
Use the spectra given in the NBCC (2005) for firm ground conditions for the I :2475 hazard (for Vancouver, use the
Cascadia subduCtion hazard). If the 1 :475 hazard is needed this can be scaled from the 1 :2475 spectrum or found
in Geological Survey of Canada web site.
Magnitude for use in Liquefaction Assessment
Deaggregation of the hazard for Vancouver for the 1 :2475 probability gives magnitudes ofM6.5 to M6.9 depending
Earthquake· Resistant Design 103
on whether the mean or median values, and the Sa(.2) or Sa(l) deaggregation is considered. Using the 80th
percentile on the deaggregation results gives a range of M7.Oto M7.3. The results for the 1:2475 Sa(0.2) and
SaC 1.0) deaggregation is shown in the Table 6.4 below. The maximum recorded crustal earthquake in the Vancouver
region has been M7.3, but the hazard calculations assume an upper bound ofM7.7 as being possible. It is suggested
to use the Sa(l) deaggregation because it gives larger values and the period of 1 second is closer to the first period
of many soft sites than is the period of 0.2 seconds.
The 80th percentile deaggregation value should be used because the seismic hazard is substantially influenced by
the upper tail ofthe seismic hazard, as the larger ground motions have a much higher probability of causing damage.
Therefore, for Vancouver, a magnitude ofM7.25 should be used in assessing liquefaction for the I :2475 hazard, and
M8.2 should be used for the Cascadia subduction earthquake. If the I :475 hazard is considered, use M6.5.
TABLE 6.4 Earthquake Magnitude/or Vancouver Evaluatedfi'om Deaggregation
. Measure
Mode
Sa(0.2}
7.13
Sa(1.0)
6.88
Mean 6.52 6.90
Median 6.51 6.82
80%ile 6.93 7.30
Selection of earthquake records
The Geological Survey of Canada is assembling a suite ofrecords for both the 1 :2475 and 1 :475 probabilistic hazard
and for the Cascadia subduction earthquake. However, it is not easy to find a suite of records that give a good fit
to the spectrum and have the appropriate duration and/or number of cycles. Some useful guidelines for choosing
records are:
The records should have a spectrum close to the UHRS, and should have duration consistent with the magnitude.
The record should be scaled so that the spectrum matches the design spectrum in the period range of interest
(related to the fundamental period of the site), or the records should be spectrum matched to the design spectrum.
The record should have a number of large cycles, for example the NCEER assessment criteria assume that a M7
earthquake record has 10 significant full cycles greater than 0.65 PGA.
6.6.3.2(3) Characterization of Liquefaction Resistance
The Cyclic Resistance Ratio, CRR, is a measure ofthe soils ability to resist liquefaction and the development oflarge
strains, and depends mainly on the soil type and density or state. There are two approaches to the characterization
of liquefaction resistance, namely methods based on the results of laboratory tests, and methods based on in-situ
tests.
Laboratory tests: Different laboratory tests are performed mostly on isotropically consolidated triaxial specimens
or on Ko- consolidated simple shear specimens. In these tests, liquefaction failure is defined as the point at which
initial liquefaction was reached or at which some limiting cyclic strain amplitude (commonly 5-20 %) was reached.
The measured cyclic stress at the onset of liquefaction failure is the liquefaction resistance and is frequently given
in terms of the cyclic resistance ratio, CRR = 'tCy/cr'vo'
Comments on testing methods: Undisturbed samples retrieved using specialized sampling techniques (such as
ground freezing) should be used in the tests. The simple shear test is the most common test although it is difficult
to eliminate its problems. The torsional shear test is sometimes used to ensure uniform distribution of the shear
stress but it is very costly and difficult to obtain a hollow sample. Shaking table tests suffer from the lack of suitable
-20
104 Canadian Foundation Engineering Manual
confining pressure. Cyclic triaxial tests are also used, however, they impose different loading conditions than the
soil experiences during an earthquake and their cyclic stresses need to be corrected.
Cyclic simple shear tests are considered most representative of field conditions during earthquake loading, The
results of such a test for loose Fraser River sand are shown in Figure 6.5. The effective stress path shows the nonnal
effective stress reducing with each cycle of shear stress from an initial value of lOO kPa to essentially zero after 6
cycles. Figure 6.5 also shows the shear stress Vs shear strain response, where it may be seen that strains are very
small, less than 0.1 %, for the first 5 cycles and become very large, 10 %, on the 6
th
cycle, when liquefaction is
triggered. The applied stress ratio for this sample was 0.1 and caused liquefaction in 6 cycles. The CRR is generally
specified as the stress ratio to cause liquefaction in 15 cycles, and from additional tests carried out on this material
(CRR\s 0.085.
Vertical Effective Stress, cr',CkPa)
30
• Point ofy=3.75%
o'",=lOOkPa; D,,=40%
(Le. Assumed triggering poinl
',.,JI1',,=0.1 0; =0.0
20 of liquefaction for
comparison purposes)
!l- '"
0
....
<Ii'
'"
t: '"
5 r.Il 1
....
'"
-
..c;
'"
r.n
-30 '----------------------'
A
• Point ofy=3.75% 0,,=40%
(i.e. Assumed triggering 'q.J<:/",=0.10; ,.10'", =0.0
point ofliquetaction tor 20
comparison purposes)
10 5
-20 .
Shear Strain, y(%)
B
FIGURE 6.5 Stress path andshear stress-strain response ofloose Fraser River
sand, cyclic simple shear tests (Wijewickreme et al. 2005)
The liquefaction response shown in Figure 6.5 is typic(j.l for loose sands where the application of an additional cycle
of load triggers an abrupt change in behaviour from stiff to soft. The soft post-liquefaction response is controlled
by dilation. The drop in shear stiffness upon liquefaction can be in the range of 100 to 1000 times. The strength or
strength ratio available after liquefaction, called the residual strength can be significant, and from Figure 6.5, the
strength ratio is at least 0.1 for loose Fraser river sand. However, field experience indicates that the strength ratio
can be significantly lower than values obtained from undrained tests. The reason for this may be due to upward flow
of water associated with generated excess pore water pressures. This may cause some elements to expand lose
their dilation effect, particularly those beneath layers of lower permeability.
For silt and clay material the response to cyclic loading and liquefaction can be quite different than for sand as
shown in Figure 6.6. This figure shows effective stress path and shear stress-strain response for loose normally
consolidated Fraser River silt under cyclic simple shear loading. The effective stress path shows the normal effective
stress reducing with each cycle from its initial value lOO kPa, but not dropping below 10 kPa. After the initial few
cycles, loading is associated with an increase in effective stress resulting from dilation. Only the unloading shows
strong contraction effects. The shear stress-strain response shows a gradual increase in strain with number of cycles,
and there is no abrupt change in shear stiffness from stiff to soft. There is also no indication of a strength reduction
below the applied stress ratio of 0.2, thus the post-liquefaction or residual strength ratio is at least 0.2 for the tested
silt. The stiffness reduces with each cycle, and after 11 cycles is 10 to 20 times softer than the first cycle.
15
Earthquake· Resistant Design 105
OCR =1.0
CSR = 0.20
ro e
c
=0.884
~ W 36.2%
10
:: 1
0
-20
co
&
t-'
tJf
rJ)
IlJ
W
...
ro
IlJ
J::
(j)
0 20 40 60 80 100 120
Vertical Effective Stress, crv (kPa) Shear Strain, y (%)
FIGURE 6.6 Stress path and shear stress-strain response ofFraser River silt,
cyclic simple shear tests (Sanin and Wijewickreme, 2006)
These test results indicate that fine-grained normally consolidated silts and clays of low plasticity can be far more
resistant to liquefaction than loose sands.
Test results together with field experience suggest that the liquefaction response of coarse-grained soils, gravels,
sands and non-plastic silts should be handled differently than fine-grained silts and clays. While it might seem
desirable to recover undisturbed samples (it is possible to do so in fine-grained soils) and obtain a direct measure of
liquefaction resistance from cyclic testing, it is very difficult and expensive to obtain undisturbed samples in coarse-
grained soils. It is therefore recommended that CRR for coarse-grained soils be based on penetration resistance in
accordance with NCEER (2001). For fine-grained soils, it is recommended that CRR be based on Atterberg limits
. and/or direct testing.
In-situ tests: The soil parameters determined from in-situ tests are used as liquefaction resistance parameters.
Standard penetration resistance: The corrected SPT resistance is plotted vs. cyclic resistance ratio for clean sand
(Figure 6.7) sites where liquefaction was or was not observed in earthquakes ofM: 7.5 to determine the minimum
cyclic stress ratio at which liquefaction could be expected. CRR for other magnitudes may be obtained by multiplying
the CRR for M = 7.5 earthquakes by a correction factor, Kw as recommended by NCEER (2001), i.e.:
(6.19)
The data used in Figure 6.7 are for cyclic resistance ratios associated with overburden pressure, cr o = 100 kPa. For
higher overburden pressure values, the cyclic resistance ratio must be corrected using a correction factor K" given
by
eRR '
(6.20)
ovo>lOOkPa
Values for Kef may be taken from the average curve of Seed and Harder (1990) (Figure 6.8).
~ J
L.
--
106 Canadian Foundation Engineering Manual
'0
6
-- ;>
.9
'"
(/.)
a
v.i
.8
U
0.6,r-----,...----,.,.--...-----r-----..,------
Percent Fines =35 15 s: 5
I
I
O.51----+------\J.--i----lI----+-----l
0.4
,,31
0.3
.. S()+
r?
60"
80
20
.. 12
I
I
I
I
I
J
I
, I
I I
I I
I I
[ I
I 1
[ I
I I
I
01 1
I I
I f eRR curves for 5,15, and
I I
I I
I I
35 percent fines, respectively
I I
(J 0.2
FINES CONTENT.::: 5%
Modified Chinese Code Proposal (clay content = 5%) ®
Marginal No
Liquefaction Liquefaction Liquefaction
Pan • American data 8 III
Japanese data • Q (1)
; Chinese data.t. A.
__ __ ____
o 10 20 30 40 so
Corrected Blow Count, (N
I
)6Q
FIGURE 6.7 CRR! vs (N) 60 (Youd et al. 2001)
Cone penetration test: The tip resistance from the cone penetration test (CPT) is used as a measure ofliquefaction
resistance. CPT-based liquefaction curves have been developed based on correlation with laboratory test and
theoretically derived values of CPT resistance (Figure 6.9). In CPT-based liquefaction evaluations, the tip resistance
is normalized to a standard effective overburden pressure of 96 kPa by
1.8
(6.21) or
1.2,-,----,--,--,---,--....,---,--...,------,
1.0,-'
VERTICAL EFFECTIVE STRESS. (Iv' (a!m units, e.g. Isf)
FIGURE 6.8 Recommended curves for estimating KJor engineering practice (Youd et al. 2001)
Earthquake. Resistant Deslgn 107
0.6
-.
0:::
0.5
'-0:::
0:::-
(J) .2
0.4
U-
_co
00:::
:;::;(1)
co (.)
0.3
0::: c
co
(fl-
(fl
(I) (fl
.!::;(I) 0.2
u)o:::
.!::? .!::?
00
>. >. 0.1
UU
0
IM=7.51
0.25 < Dso(mm) < 2.0
Fe (%) < 5
.... CPT Clean Sand
Base Curve
-.
•
••
•
•
t:,A
!Liquefaction
No Liquefaction
o.
A
A
..
•
-
i • ;,.....
o 0
0 0<t3
J..l&
•
•••
ii
...... eot2
0
A
l:D
I:A
Field Performance Uq. No Liq.
NCEER (1996)
Stark & Olson (1995) 0
Suzuki eL al (1996b)
•
Workshop A
•
0 50 100 150 200 250 300
Corrected CPT Tip Resistance, qc1N
FIGURE 6.9 Curve recommendedfor calculation ofCRRfrom CPT data along with empirical liquefaction
datafrom compiled case histories (reproducedfrom Robertson and Wride 1998) (Youd et al. 2001)
Shear wave velocity: The measured shear wave velocities can be used to assess the liquefaction resistance, (usually
in addition to assessment using SPT or CPT). Measured shear wave velocities are normalized to a standard effective
overburden pressure of 96 kPa by
V(a'196\-lln
(6.22)
s vO "/
where
n = 3 to 4. The normalized shear wave velocity is plotted vs. CRR in Figure 6.1 0, which can be used to
evaluate the liquefaction potential directly, or is used to evaluate the CRR, which is used in turn to evaluate
the liquefaction potential.
0.6 r-----r---r----,---,.,..,..--..,.----,
Data Bases on:
Mw- 5.9108.3; adjusted by
Mw= 7.5
dividing CSR by (MwI7.5)-2.56.,352055 Fines
Uncemented, . m I I Content (%)
Holoceneage sOils
Average values of'" •
VS1and 8mBx A I I
A 0
Liquefaction
No
Liquefaction
fines Content
.0$5%
Jr..A6to 34% •
.0
100 200 300
Overburden Stress-Corrected Shear Wave
Velocity, VS1, mfs
FIGURE 6.10 Liquefaction relationship recommended for clean, uncemented soils with liquefaction data
from compiled case histories (Reproducedfrom Andrus and Stokoe 2000) (Youd et al. 2001)
1 108 Canadian Foundation Engineering Manual
"8
'l
The base eRR obtained from these figures will be given the symbol eRR,. The CRR for a general condition is given . 1
by:
eRR = CRR * K * K * K (6.23)
1 111 fJ a
where
K is a conection factor for earthquake magnitudes other than M7.S,
Km is a conection factor to account for effective overburden stresses other than 100 kPa, and
cr
K is a conection factor ground slope.
a
The recommended K (MSF) curve is shown in Figure 6.11, and for an M7 earthquake K = 1.25.
m m
The recommended K curves depend on relative density as was shown in Figure 6.8. NCEER does not make a
a
recommendation regarding K". The default value is unity, K"
4.5
t.L..
4
U')
3.5
....-
0
3
....
U
0:1
t.L..
2.5
OIl
.5
(;j
u
2
U')
<U 1.5
"0
E
'2
0.5
0
-+- Seed and Idriss. (1982)
........ Idriss
x Ambraseys (1985)
¢ Anango (1996)
• Arango (1996)
__ Andrus and Stokoe
... Youd and Noble, PL <20%
t:. Youd and Noble, PL <32%
... Youd and Noble. PL <50%
5.0 6.0 7.0 8.0 9.0
Earthquake Magnitude, Mw
FIGURE 6.11 Magnitude Scaling Factors derived by various investigators
(Reproduced/rom Youd and Noble 1997) (Youd et al. 2001)
6.6.3.2(4) Evaluation of Initiation of Liquefaction
The evaluation is easily performed graphically. First, the variation of cyclic stress ratio, CSR, with depth is plotted.
The variation ofthe cyclic resistance ratio, CRR, with depth is then plotted on the same graph. Liquefaction can be
expected at depths where the loading exceeds the resistance or when the factor of safety against liquefaction, FS
L
,
is less than 1, where:
FS = CRR
(6.24)
L CSR
6.6.3.2(5) Residual Strength for Gravel, Sands, and Non Plastic Silts
Field experience during past earthquakes indicates that residual strengths can be much lower than values obtained
from undrained tests on undisturbed samples. This may be due to upward flow of water associated with generated
excess pore water pressures. This may cause some elements to expand to a higher void ratio, and hence a lower
critical state strength. Based on back analysis of field case histories, Seed and Harder (1990) proposed upper and
lower bounds on residual strength as shown in Figure 6.12. It may be noted that there are no data points associated
with large movements or flow slides for SPT blowcounts greater than 16.
1 ••
"
Earthquake - Resistant Design 109
Olson and Stark (2002) present residual strength in terms of strength ratio, Figure 6.13. Their values range between
about 0.05 and 0.1 for SPT blow counts in the range 2 to 12. They also developed residual strength ratios in terms
of CPT tip resistance. Their relationship is shown in Figure 6.14.
100
<:d
• Measured SPT and Critical Strength Data
0
-
0...
80
u.l
o Estimated SPT and Critical Strength Data
'-'
::c::
o Construction Induced Liquefaction -
-< f-
er:
d
Estimated Data
0
60
Z
5
[JJ
er:
f-
0
r.I"J
u.l
....J
-
N
-<
....J
-
U
CO
0
-f-
:2
-
er:
u
40
20
FIGURE 6.12 Recommended relationship between su,,. and N"60, CS (Seed and Harder 1990)
• Back-calculated liquefied strength ratio and measured SPT
e Back-calculated liquefied strength ratio and converted $PT
from measured CPT
o Back-cak:ulated liquefied strength ratio and estimated SPT
tJ. Estimated liquefied strength ratio and measured, converted
0.3
0.1
o
-"
or estimated SPT
(Number beside symbol hdieates average fines content)
Davies and Campanella (1994)
Proposed relationship ---:7---'\
""
o 4 6 10 12 16 18
Normalized SPT blowcOlllt, (N1)60
FIGURE 6.13 A comparison ofliquefied strength ratio relationships based on normalized SPT blowcount
(Olson and Stark 2002)
....
--
110 Canadian Foundation Engineering Manual
or estimated CPT
! {)IUnber beside symbol ndIcates average fines content)
Proposed
relationship
Normalized CPTtip resistance, Qc1 (MPa)
• Back-calculated liquefied strength ratio and measured CPT
e Back-calculated liquefied strength ratio and converted CPT
from measured SPT
o Back-calculated liquefied strength ratio and estimated CPT
D. Estimated liquefied strength ratio and measured. converted
9 10
FIGURE 6.14 A comparison ofliquefied strength ratio relationships based on normalized CPT tip resistance
(Olson and Stark 2002)
It is recommended that for zones predicted to liquefy, the residual strength be estimated as follows:
1. For normalized SPT blowcounts less than or equal to 15, use mean values from Seed and Harder (1990)
and/or Stark and Olson (2002).
2. For normalized SPT blowcounts greater than or equal to 25, use drained strength values.
3. For normalized SPT blow count values between 15 and 25, use a linear variation of residual strength.
Although liquefaction can be triggered in dense sands having normalized SPT blowcount values greater than 25,
the drained strength values can be used, as dilation upon straining will cause the pore pressures to drop to their pre-
earthquake values or lower.
6.6.3.2(6) CRR for Silts and Clays
It has been noted that some fine-grained soils that classify as non-liquefiable according to commonly used empirical
"Chinese Criteria" (Wang 1979; Koester 1992; Finn et al. 1994) have in fact experienced liquefaction during
earthquakes (Boulanger et al. 1998, Bray et al. 2004). Some data from laboratory cyclic shear testing of silts also
confirmed the limitation ofChinese Criteria as a tool to identify potentially liquefiable soils (Sanin and Wijewickreme
2004; Boulanger and Idriss 2004).
As an alternative, Boulanger and Idriss (2004) recommend that fine-grained soils be classified as "sand-like"
(susceptible to liquefaction) iflp < 7, and "clay-like" ifIp 7. However, some limitations in this approach have been
noted from cyClic direct simple shear tests conducted on specimens from a cha1)l1el fill silt from the Fraser River
Delta (Sanin and Wijewickreme 2005).
Earthquake - Resistant Design 111
Based on the field perfonnance of fine-grained soil sites in Adapazari following the 1999 Kocaeli (Turkey)
earthquake, combined with data from laboratory cyclic shear testing, Bray et a1. (2004) have proposed alternate
empirical criteria to delineate liquefaction susceptibility of fine-grained soils. It is recommended that the Use of
Chinese Criteria be discontinued, and Bray et a1. (2004) criteria (Figure 6.15) be used to detennine liquefaction
susceptibility of fine-grained soils:
a) w/wL 2: 0.85 and Ip::: 12: Susceptible to liquefaction or cyclic mobility*;
b) W/WL 2: 0.8 and 12 < Ip < 20: Moderately susceptible to liquefaction or cyclic mobility*;
c) W/WL < 0.8 and Ip 2: 20: No liquefaction or cyclic mobility, but may undergo significant defonnations if
cyclic shear stresses> Static undrained shear strength (s).
*This classification may be revised on a site-specific basis using data from laboratory cyclic shear testing of
good quality field samples [e.g., samples obtained using thin-walled tube samples with sharpened (i.e., <50)
cutting edge and no inside clearance].
50
40
)(
ell
"C
.5
30
Z'
'u
:;:::
til 20
a:
IU
10
NOT SUSCEPTIBLE
Fraser River
Delta
channel fill
silt
I
o
•
SUSCEPTIBLE
0.0 0.5 1.0 1.5 2.0
WIW
L
FIGURE 6.15 Bray et al. (2004) criteriafor liquefaction assessment affine-grained soils
6.6.3.2(7) Residual Strength for Silts and Clays
It is recommended that the residual strength (Sr) for silt and clay zones be detennined as per guidelines given
below:
a) w/wL 2: 0.85 and Ip::: 12: Sr =remolded shear strength (Sremolded), unless appropriate testing ofundisturbed
samples can show greater strength;
b) w/wL 2: 0.8 and 12 < Ip < 20: Sr = 0.85s
u
' where Su static undrained shear strength;
c) W/WL < 0.8 and Ip 2: 20: Sr Su-
This approach essentially employs the liquefaction potential detennined using the recommended Bray et a1. (2004)
criteria as the basis for the detennination of Sr. This assumes that the full static undrained strength (su), or most part
of it, is available as the residual strength after cyclic loading, unless the soil is susceptible to liquefaction.
6.6.4 Liquefaction-Like Soil Behaviour
The liquefaction potential ofloose, saturated sands is well recognized as described above. Similar abrupt structural
changes, however, could be caused by earthquakes also in some highly sensitive clays such as the Canadian Leda
clay or the Norwegian quick clay.
112 Canadian Foundation Engineering Manual
1
'1
6.6.5 Induced Ground Movements
I
There are several empirical and approximate procedures for estimating ground movement for situations where
liquefaction may be triggered.
I
The lateral spreading equation of Youd gives ground displacement as a function of simple site properties, soil
profile properties, and earthquake magnitude and distance. Post-liquefaction settlement is discussed in the following
subsection.
6.6.5.1 Post-Liquefaction Settlements for Coarse-Grained Soil
Post-liquefaction settlements occur during and after earthquake shaking. For level ground conditions, the amount
can be computed from the volumetric reconsolidation strains induced as the excess pore pressures dissipate. Based
on field experience during past earthquakes, the amount of strain depends on SPT blowcount and the CSR applied
by the design earthquake. The curves proposed by Cetin et al. (2004) are shown in Figure 6.16 and indicate that
volumetric reconsolidation strains can range between about 10 % for very loose sand to 1 % for very dense sands.
These curves are recommended.
The settlement calculated from this chart is induced by consolidation of the liquefied soil only. Footings and other
structures founded over or within liquefied soil will also deform due to shear strain within the liquefied soil. This
shear strain typically occurs during the period of strong shaking whereas the consolidation settlements often occur
following the period of strong shaking. The shear strain deformations are additional to the consolidation settlements
and can be of similar or greater magnitude.
0.6
Cetill et ai. (2002)
I
0.0
6 10 15 20 40 46
FIGURE 6.16 Recommended relationships/or volumetric reconsolidation strains as afunction
0/equivalent uniform cyclic stress ratio and N/, 60, cs/or Mw 7.5 (Wu 2002)
6.7 Seismic Design of Retaining Walls
! '
The dynamic response ofretaining walls is quite complex. Walls can translate and/or rotate, and the relative amounts I
!
of translation and rotation depend on the wall design. The magnitude and distribution of dynamic wall pressures
during an earthquake are influenced by the mode of wall movement. The maximum soil thrust acting on a wall
i,
generally occurs when the wall has moved toward the backfill. The minimum soil thrust occurs when the wall has I
I
moved away from the backfill. The shape of the earth pressure distribution on the back of the wall changes as the
wall moves. The position of the resultant of the dynamic pressure is highest when the wall has moved toward the
soiL Dynamic wall pressures are influenced by the dynamic response of the wall and backfill, and can increase
significantly near the natural frequency of the wall-backfill system. Permanent soil displacements also increase
Earthquake - Resistant Design 113
at frequencies near the natural frequency of the wall-backfill system. Because of the complexity of the problem,
simplified models that make various simplifying assumptions are used for the seismic design of retaining walls.
6.7.1 Seismic Pressures on Retaining Walls
Seismic pressures on retaining walls are usually estimated using simplified methods. Some of these methods are
given here.
6.7.1.1 Active Earth Pressure Conditions M·O Method
This method is based on a pseudostatic analysis of seismic earth pressure on retaining structures and has become
known as the Mononobe-Okabe (M-O) method. The M-O method is a direct extension of the static Coulomb theory
to pseudo-static conditions.
For dry cohesionless backfill, the total active thrust can be expressed in a form similar to that developed for static
conditions, i.e.:
(6.25)
where
the dynamic active earth pressure coefficient, K
AE
, is
(6.26)
cos\jfcos
2
8cos(o +8 +\jf{1+
where
soil angle of internal friction, e= slope of backfill with horizontal, P slope of the back face of the
retaining wall with vertical, (5 = angle of friction of wall-backfill interface,
\If tan-I (1 ,and kh and kv are seismic coefficients in the horizontal and vertical directions,
respectively, for <p-P2::\If. The seismic coefficient in the horizontal direction, k
ll
, is defined as a ratio of the peak
ground acceleration in the horizontal direction to the gravity acceleration, g, Le.:
k
"
-.!!!L
-
(6.27)
g
The seismic coefficient in the vertical direction, k
v
, is defined similarly.
The total active thrust, PAP can be divided into a static component, P
A
and a dynamic component, ilP
AE
:
(6.28)
where
(6.29)
in which,
KA = the coefficient of static active earth pressure (from Coulomb theory), i.e.:
-
114 Canadian Foundation Engineering Manual
($ -0)
=----'[:---;:=======::;2]' KA
ecos(8 + 0) 1 + I sin(8 + $ ) sin($ - ) -
(6.30)
+O)cosW -0)
The total active thrust may then be considered to act at a height, h, from the base of the wall,
h =P,(H /3)+ M
A
£(O.6H)
PA£ (6.31 )
6.7.1.2
Passive Earth Pressure Conditions M-O Method
The total passive thrust on a wall retaining a dry cohesion less backfill is given by
(6.32)
where
the dynamic passive earth pressure coefficient, KpE' is
cos'Vcos26cos(8 -6 +'11
(6.33)
The total passive thrust can also be divided into static and dynamic components:
(6.34)
where
Pp is the static passive thrust, given by
(6.35)
where
(6.36)
cos
2
ecos(8 -e{l+
Note that the dynamic component, llPPE' acts in the opposite direction of the static component, Pp' thus reducing the
available passive resistance.
Discussion: The M-O analysis provides a useful means of estimating earthquake-induced loads on retaining walls.
A positive horizontal seismic coefficient causes the total active thrust to exceed the static active thrust and the total
passive resistance to be less than the static passive resistance. Since the stability of a particular wall is generally
reduced by an increase in active thrust and/or a decrease in passive resistance, the M-O method produces seismic
loads that are more critical than the static loads.
The M-O analysis has some limitations. The determination of the seismic coefficient is difficult; the analysis is not
appropriate for soils that experience significant loss of strength during earthquakes, and it over predicts the actual
total passive thrust, particularly for (5 >
Earthquake. Resistant Design 115
6.7.2 Effects of Water on Wall Pressures
The water exerts loads on waterfront retaining walls both during and after earthquakes. The water outboard of a
retaining wall and within the backfill can exert dynamic pressures on the wall. The total water pressures that act
on retaining walls in the absence of seepage within the backfill can be divided into two components: hydrostatic
pressure that increases linearly with depth and acts on the wall before, during and after earthquake shaking, and
hydrodynamic pressure that results from the dynamic response of the water itself.
6.7.2.1 Water Outboard of Wall
The hydrodynamic pressures on a retaining wall are usually estimated from Westergaard's solution for the case of
a vertical rigid darn retaining a semi-infinite reservoir of water that is excited by harmonic, horizontal motion of its
rigid base. Westergaard computed the amplitude of the hydrodynamic pressure at a depth Zw below water surface
as
(6.37)
where
H depth of the water. The resultant hydrodynamic thrust is given by
7 2
H (6.38)
P" == 12kh"Y w
The total actual thrust due to the water is equal to the sum of the hydrostatic and hydrodynamic thrusts.
6.7.2.2 Water in Backfill
The presence ofwater in the backfill behind a retaining wall can influence the seismic loads on the wall in a number
of ways. It alters the inertial forces within the backfill and develops hydrodynamic pressures within the backfilL
For low permeability soils, the inertial forces due to earthquake shaking will be proportional to the total unit weight
ofthe soil. In this case, the M -0 method can be modified to account for the presence ofporewater within the backfill
using
(6.39a)
and
(6.39b)
where
Yb =unit weight of backfill and r
u
=
An equivalent hydrostatic thrust based on a fluid of unit weight Y Y + r"Y must be added to the soil thrust.
eq w b
Soil thrusts from partially submerged backfills may be computed using an average unit weight based on the relative
volumes of soil within the active wedge that are above and below the phreatic surface.
For high permeability soils, the inertial forces will be proportional to the submerged unit weight of the soil. In this
case, the porewater pressure acting on the wall is given by the Westgaard solution, i.e., Equations 6.37 and 6.38.
6.7.3 Seismic Displacement of Retaining Walls
The serviceability of retaining walls is related to permanent deformations that occur during earthquakes. Therefore,
analyses that predict permanent wall deformations provide a more useful indication of retaining wall performance.
116 Canadian Foundation Engineering Manual
6.7.3.1 Deterministic Approach
This method is developed for the seismic design of gravity walls based on allowable wall displacements. In this
method, the yield acceleration, defined as the acceleration that is just large enough to cause the wall to slide on its
base, is calculated by (Richard and Elms, 1979) n
I
,\
(6.40)
i
,
in which ,
P
AE
is calculated using the M-O method with kh = , and Wis the weight of the retaining wall.
g ··.
'· .. 1'·
G,. = [tanG>b
The permanent displacement can then be calculated from .
2 3
(6.41)
0.087 m x ~ m x
dpenn
G
where
y
V = the peak ground velocity and a the peak ground acceleration.
max max
6.7.3.2 . Statistical Approach
Whitman and Liao (1985) used a statistical approach to evaluate the permanent displacement of retaining walls due
to earthquake excitation. They studied the results of sliding block analyses of 14 ground motions and found that the
permanent displacements were lognormally distributed with mean values
(6.42)
6.7.3.3 Finite Element Analysis
The finite element analysis can be used to compute the earthquake-induced deformations of retaining walls. A
rigorous' analysis should be capable of accounting for nonlinear, inelastic behaviour of the soil and of the interfaces
between the soil and the elements of the wall. Some considerations have to be included in the analysis with respect
to the boundaries and elements size.
6.7.4 Seismic DeSign Consideration
The design of retaining walls for seismic conditions is similar to the design for static conditions. Seismic design
procedures make use ofsimplifying assumptions to allow the use of available procedures for static conditions .
•
6.7.4.1 Gravity Walls
Gravity walls are customarily designed using one of two approaches: a seismic pressure-based approach or a
permanent displacement-based approach.
Design Based on Seismic Pressures: The M-O method is commonly used along with an inertial force with the same
pseudo-static acceleration applied to the active wedge as is applied to the wall itself. Pseudo-static accelerations are
generally considerably smaller than anticipated peak accelerations (values between O.OSg and O.lSg are used). The
wall must be designed to avoid sliding, overturning and bearing capacity failure. The pseudo-static forces along
with static analysis procedures are used in this approach.
Design Based on Allowable Displacements: This approach allows the designer to cotisider the consequences
of permanent displacement for an individual wall when selecting an allowable displacement for design. Design
procedures based on Richard-Elms (1979) and Whitman-Liao (l985) methods for estimation of permanent I
displacement as discussed in Sections 6.7.3.1 and 6.7.3.2. I
!
j
I
Earthquake - Resistant Design 117
TheRichard-Elmsprocedureissummarizedas follows:
1. Selectanallowablepermanentdisplacement, dall'
2. Calculatetheyieldaccelerationrequiredtoproducetheallowablepermanentdisplacementas
(6.43)
3. Calculate P
AE
using the M-O method with the yield acceleration from step 2 as the pseudostatic
acceleration.
4. Calculate the wall weight required to limit the permanent displacement to the allowable permanent
displacementas
W = P
AE
cas(S +e) - PAE sin(8 + e )tan<P
b
tan<Pb- a,.1 g (6.44)
5. ApplyafactorofsafetytotheweightofthewalLAfactorofsafety,FS == 1.1 to 1.2is suitable.
GravitywallscanbedesignedusingtheWhitman-Liaoapproachonthebasisofallowabledisplacementsthathave
definedprobabilitiesofexceedence.Theyieldaccelerationinthiscaseis calculatedas
ama<1l_37_M_V-"!rna",,-x
( - 2 J
(6.45)
a =-n
y 9.4 am.xd
all
where
M = modelerror=3.5.Then,the sameprocedureasRichard-Elmsisfollowed.
6.7.4.2 Reinforced Soil Walls
Duringanearthquake,areinforcedsoilwallis subjectedtoadynamicsoilthrustatthe backofthereinforcedzone
and to inertial forces withinthe reinforced zone in addition to static forces. Thewall mustbedesignedto avoid
externalinstability(sliding,overturningandbearingcapacityfailure) andinternalinstability(pulloutfailureofthe
reinforcement).
External Stability: A reinforced earthwall can be treated like a gravitywall. Theexternal stabilityofan earth
reinforcedwallcanbeevaluatedas follows:
1. Determinethepeakhorizontalgroundsurfaceacceleration,a .
max
2. Calculatethepeakaccelerationatthecentroidofthereinforcedzonefromtheequation
a
c
(1.45- G;ax)amax 6 . 4 ~ )
3. Calculatethedynamicsoilthrustfrom
(6.47)
a 'Y
b
H2
MAE =0.375-
c
_ -
g
where
Y
b
=unitweightof backfill.
4. Calculatethe inertialforceactingonthereinforcedzone
(6.48)
- Gc'Y ,HL
p.
lR -
g
where
Y
r
istheunitweightofreinforcedzone.
118 Canadian Foundation Engineering Manual
5. Add P £ and 50 % of P and check the external stability. FS (Seismic):::: 75 % FS (Static).
A IR
Internal Stability: Internal stability is evaluated as follows:
1. Determine the pseudo-static inertial force acting on the potential failure zone,
p _ QcW,
(6.49)
1,1 - I',
g
where
is the weight of the failure mass (Figure 6.17).
2. Determine the share of each reinforcement layer from PIA' according to its resistance area (this is the
earthquake-induced tensile force for each reinforcement layer).
3. Determine the total tensile force for each layer as the sum of the dynamic and static components.
4. Check that the reinforcement allowable tensile strength> 75 % of the total tensile force for each layer.
S. Check the length of the reinforcement so that the FS against pullout failure> 7S % FS (static conditions).
HI2
H
HI2
(8) (b)
FIGURE 6.17 Critical potential failure surfaces for evaluation ofinternal seismic stability
ofreinforced earth walls: a) inextensible reinforcement; b) extensible reinforcement
6.8 Seismic Stability of Slopes and Dams
Slopes, embankments and dams may be damaged or may even fail due to earthquake induced shaking ofthe ground.
Landslides often occur in earthquakes and dam failures have also been reported. There is no doubt that earthquakes
can pose a serious threat to the stability of slopes and can induce significant damage. The damage manifests itself
in the form of slides, slumping, cracks and permanent deformations.
6.8.1 Mechanisms of Seismic Effects
The mechanism leading to slope failures can be attributed to two factors: the earthquake induced forces and stresses;
and the radical structural change of the soil that may be brought about by these seismic stresses.
The first effect is present even in soils that do not experience any basic change as a result of the shaking such as stiff
clay, gravel or dense, coarse sand. In this case, some movement, could be substantial, of the slope occurs when the
total stress exceeds the strength available. On the other hand, fine, loose, saturated san(ds may undergo a complete
change of character when they liquefY. Liquefaction may occur in a sizeable bulk of soil or only in narrow seams
and lenses of liquefiable material enclosed in relatively impermeable deposits. The liquefaction potential of loose,
saturated sands is well recognized but similar abrupt structural changes could also be caused by earthquakes in some
Earthquake. Resistant Design 119
highly sensitive clays such as the Canadian Leda clay.
6.8.2 Evaluation of Seismic Slope Stability
The stability of slopes is influenced by many factors, and a complete slope stability evaluation must consider the
effects of each factor. Geological, hydrological, geometrical and material characteristics are needed to reliably
perform both static and seismic slope stability analyses.
The seismic stability of a slope is strongly influenced by its static stability because slopes with low factors of safety
against failure under static conditions need low additional dynamic stresses to reach yield. Therefore, the factor of
safety of any slope under static conditions must be significantly greater than 1.0 to accommodate seismic demands.
The acceptable value of the factor of safety depends on the uncertainty in the model used for the analysis, the soil
parameters and the magnitude and duration of seismic excitation, in addition to the potential consequences of slope
failure.
An analysis of seismic stability of slopes has to consider the effects of dynamic stresses induced by earthquake
shaking; and the change in the strength and stress-strain behaviour ofthe slope materials due to the seismic loading.
These effects may lead to yield and plastic deformations due to inertial or weakening effects. The inertial effects
occur when the earthquake-induced dynamic stresses reach the shear strength ofthe soil (that may remain constant),
producing slope deformations. The weakening effects occur when the soil is weakened due to the earthquake
loading (liquefaction or softening) and cannot remain stable under earthquake-induced stresses. When the available
shear strength becomes smaller than the static shear stress required to maintain equilibrium, flow failures occur.
Deformation failures occur when the shear strength of a soil is reduced below the earthquake-induced (dynamic)
shear stresses.
The potential of a flow slide is commonly evaluated by conventional static slope stability analyses using soil
strengths based on end-of-earthquake conditions.
In a typical analysis, the following procedure is used:
1. the liquefaction potential is calculated at all points on a potential failure surface;
2. Residual strengths are assigned to the failure surface portions with factor of safety against
liquefaction < 1;
3. IfFS against liquefaction> 1, strength values are based on the effective stresses at the end ofthe earthquake;
and
4. Using these strength values, conventional limit eqUilibrium slope stability analyses are performed to
calculate an overall FS against flow sliding. If the overall FS is less than 1, flow sliding is expected.
A number of techniques have been developed for the analysis of seismic inertial effects on slopes. These techniques
differ in the way the earthquake motion and the dynamic response of the slope are modelled.
The knowledge of seismic forces makes it possible to examine the stability of the embankment approximately
using the so-called pseudo-static approach and to establish the deformations that seismic forces produce. However,
experience has shown that pseudo-static analyses can be unretiable for soils that build up large pore pressures or
show more than 15 % degradation of strength due to earthquake shaking. Pseudo-static analyses produced factors
of safety well above 1 for a number of dams that later failed during earthquakes. These cases illustrate the inability
of the pseudo-static methods to evaluate the seismic stability of slopes.
Because of the difficulty in the assignment of appropriate pseudo-static coefficient, the use of this approach has
decreased. Methods based on evaluation of permanent slope deformation are being used increasingly for seismic
slope stability analysis.
120 Canadian Foundation Engineering Manual
6.8.3 Evaluation of Seismic Deformations of Slopes
In practice, the dynamic response ofearth dams and embankments is usually computed using equivalent linear
analyses. These analyses are conducted in tenns oftotal stresses and thus the effects ofthe seismic porewater
!
pressuresarenotaccountedfor.Also,theseanalysesfailtopredictthepennanentdefOlmationastheyassumeelastic
I
I
behaviour. Therefore, these analyses can only predict the distribution ofaccelerations and shear stresses in the
embankmentand semi-empirical methods areusually usedto estimatethepennanentdeformations andporewater
pressures using the acceleration and stress data (Seed et al. 1975). Adetailedreview ofthesemethods is givenin
Finn(1993).
6.8.3.1 Newmark Sliding Block Analysis
The serviceability ofa slope after an earthquake is controlled by defonnations. Therefore, analyses that predict
slopedisplacementsprovideamoreusefulindicationof seismicslopestability.
Newmarkmethod(Newmark 1965)isthemostcommonapproachusedtopredictseismicslopedisplacement.
Inthis method, thebehaviourofaslope under earthquake-induced accelerations is given by the displacement of
a block resting on an inclined plane (Figure 6.l8a).Ata particular instantoftime, the horizontal acceleration of
theblockwill induce ahorizontal inertial force, khW (Figure 6.l8b).As k/r increases,thedynamicfactor ofsafety
decreases, andtherewillbesomepositivevalueof k" thatwillproduceafactorof safetyof1.0.
Thiscoefficient,termedtheyieldcoefficient,ky' correspondstotheyieldacceleration,a
y
=kyg. Theyieldcoefficient
is givenby
(6.50)
where
<p is the angle offriction ofthe slope material (assuming purely frictional soil) and is the slope angle.
Whenaslope is subjectedto apulseofaccelerationthatexceeds its yield acceleration,itwillundergosome
permanentdefonnations.
UsingtheNewmarkapproach,thetotalrelativedisplacement,drel' of theslopecanbegivenby
J
(6.51)
where
A istheamplitudeofarectangularpulseaccelerationgreaterthantheyieldaccelerationand/).t isits duration.
Equation 6.51 shows clearly that the total relative displacement depends strongly on both the amount by
whichandthedurationoftheaccelerationthatexceededtheyieldacceleration.
Usingtherectangularpulse solution,Newmarkrelatedsingle-pUlse slopedisplacementtopeakbasevelocity, v ,
max,
by
fJ-a \
d - Y I (6.52)
,el-2 -A
J Q
y
Newmark found that a reasonable upperbound to the permanent displacements produced by severalearthquake
motionnormalizedtopeakaccelerationsofO.5gandpeakvelocitiesof0.76mlswas givenby
d
max
(6.53)
6.9
6.9.1
Earthquake. Resistant Design 121,
Sliding
surface
. ..
N
s
= Wcos
(a)
FIGURE 6.18 a) Analogy between potential landslide and a block resting on inclined plane;
b) Forces acting on a block resting on an inclined plane
6.B.3.2 . Nonlinear Analysis
Nonlinear methods of analysis were also developed to calculate the seismic response of slopes accounting for
the effects of the intrinsic nonlinear behaviour of the soil. Although some of these procedures include elaborate
representation ofthe basic behaviour ofthe soil, their reliability and suitability are limited due to the complexity and
the need for some soil parameters that are not usually measured in field or laboratory testing. Finn (2000) reviewed
the main nonlinear procedures used in current practice and outlined their advantages and limitations.
Seismic DeSign of Foundation
The soil-structure interaction effects that take place during the seismic excitation govern the seismic response of
foundations. Except for cases where liquefaction occurred, or sensitive clays lost their strength under cyclic loading,
foundations failures during earthquakes are rare. The strength and stiffness of the foundation elements in regard
to transient dynamic loading are a function of the rate of loading. In general, the stiffness, and for most soils, the
strength, increase with the rate of loading.
Bearing Capacity of Shallow Foundations
The effect of the inertia forces within the soil mass is to generate shear stresses that would reduce the capacity.
Several studies have shown that the reduction in the bearing capacity due to soil inertia is not more than 15 % to
20 % for k :5 0.3 (Shi and Richards, 1995). Therefore, the main seismic consideration in the design offoundations
h
would be the effects of eccentric and/or inclined loading conditions due to the induced horizontal inertial seismic
loads from the superstructure.
..
Inclined/
plane
... . ..
(b)
122 Canadian Foundation Engineering Manual
To account for the effects of horizontal seismic forces on the bearing capacity of a footing, the resultant inclined
eccentric load is considered in the calculation of the bearing capacity ofthe footing. In this case, a reduced effective
footing width and load inclination factors are used in the analysis as described in Chapter 10 of this manual.
Because of the short duration of the seismic loads, a smaller factor of safety can be adopted for the seismic design
of foundations.
6.9.2 Seismic Design of Deep Foundations
The response of deep foundation to earthquake loading is quite complex. The main factors that govern the seismic
behaviour of deep foundations are the interactive soil-pile forces and the loss of the soil support to the piles. For
piles in a group, the pile-soil-pile interaction effects add to the complexity of the problem.
The proper evaluation of the seismic response characteristics of pile groups requires dynamic analyses that require
the use of computer programs. The main features that should be considered in these analyses are the nonlinear
behaviour of the soil adjacent to the piles, the slippage and separation that occur at the soil-pile interface and the
energy dissipation through different damping mechanisms. These analyses can be used to calculate the response of
the foundation system to the seismic loading, and the capacity of the foundation can be evaluated based on some
ultimate displacement considerations.
6.9.3 Foundation Provisions
The National Building Code of Canada, NBCC (2005) includes the following provisions to ensure matching the
foundation seismic capacity with the capacity of the seismic force resisting system (SFRS).
1. Foundations shall be designed to resist the lateral load capacity of the SFRS, except that when the
foundations are allowed to rock, the design forces need not exceed 0.5 RdRo times those determined in
Sentence 4.1.8.7.(1).
2. The design of the foundations shall be such that they are capable of transferring the earthquake loads and
effects between the building and the ground without yielding and without exceeding the capacities of the
~ o l and rock.
3. For cases where Il.S. (0.2) is equal to or greater than 0.2, the following requirements shall be satisfied:
a. Piles or pile caps, drilled piers, and caissons shall be interconnected by continuous ties in not less than
two directions.
b. Piles, drilled piers, and caissons shall be embedded a minimum of 100 mm into the pile cap or
structure.
c. Piles, drilled piers, and caissons other than wooden piles shall be connected to the pile cap or structure
for a minimum tension force equal to 0.15 times the factored compression capacity of the pile.
4. At sites where IEF,Sa (0.2) is equal to or greater than 0.35, basement walls shall be designed to resist
earthquake lateral pressures from backfill or natural ground.
5. At sites where Il.S. (0.2) is greater than 0.75, the following requirements shall be satisfied:
1. A pile, drilled pier, or caisson shall be designed and detailed to accommodate cyclic inelastic behaviour
when the design moment in the element due to earthquake effects is greater than 75 % of its moment
capacity.
2. Spread footings founded on soil defined as Site Class E or F shall be interconnected by continuous ties
in not less than two directions.
6. Each segment of a tie between elements shall be designed to carry by tension or compression a horizontal
force at least equal to the greatest factored pile cap or column vertical load in the elements it connects
mUltiplied by a factor of 0.15 Il.S.(O.2), unless it can be demonstrated that equivalent restraints can be
provided by other means.
7. The potential for liquefaction and the consequences, such as significant ground displacements and loss of
soil strength and stiffness, shall be evaluated based on Ground Motion Parameters and shall be taken into
account in the design of the structure and its foundations.
Foundation Design 123
Foundation Design
7 Foundation Design
7.1 Introduction and Design Objectives
The basic purpose of foundations (shallow and deep) is to safely and adequately transfer load effects, from and
acting on any given structure, to the ground. The term ground is general; it includes both soil and rock. Foundation
design essentially involves two basic considerations
The foundation unites) must not collapse (i.e., not induce overall shear failure of the supporting ground);
and
• Post-construction settlement of the foundation unites) must be within tolerable limits.
As discussed in Chapter 8, the first consideration involves Ultimate Limit States (ULS), and the second consideration
involves Serviceability Limit States (SLS).
The primary objectives of engineering design are safety, serviceability, and economy. Safety and serviceability
can be improved by increasing the design margins or levels of safety to reduce the probability of failure. However,
this generally increases costs. Considerations of overall economy in design involve balancing the increased cost
associated with increased safety (and improved performance) against the potential losses (costs, lives and other
factors) that could result from unsatisfactory performance or failure. The basic design criterion is that the resistance
of the system must be greater than the imposed load effects, while achieving an acceptable or required level of
safety and performance.
7.2 Tolerable Risk and Safety Considerations
Design must assure an acceptable risk or a required level ofsafety; but how does one rationalize what is an acceptable
or tolerable level of risk?
The probability of failure that is associated with a given design needs to be compatible with the level of risk that
people (i.e., society) are willing to accept in specific situations or from natural and constructed works. This is
referred to as tolerable risk. Tolerable risk refers to a willingness to live with a risk so' as to secure certain benefits,
and in the confidence that risk is being properly controlled or managed.
The specified desired level of safety for design is defined by relevant jurisdictional codes of practice (e.g., the
National Building Code of Canada (NBCC), the Canadian Highway Bridge Design Code (CHBDC) and others).
Codes generally describe recommended good engineering design practice by defining a set of requirements, or
provisions, that are aimed at achieving a minimum level of technical quality, and the desired or specified level of
safety. Codes can be viewed as documents for the quality assurance of the design of engineering structures and
facilities. Codes are legal documents and, as such, compliance with the code is required by law. A code represents a
legal means to facilitate sound, rational design decisions to be made by engineers. It assists the engineer in making
...
124 Canadian Foundation Engineering Manual
the"right"decisionsthatleadto sufficientlysafestructures.Agoodcode doesnotnecessarilyleadtono failures,
butleadstodesignsituationswherethenumberoffailures areacceptableortherisklevelistolerable.
7.3 Uncertainties in Foundation DeSign
Significantandvaryingdegreesof uncertaintyareinherentlyinvolvedinthefoundationdesignprocess.Allowances
duringdesignmustbemadetoaccountfortheseuncertainties.Thesourcesofuncertaintycanbegroupedintofour
maincategories:
1. Uncertaintiesinestimatingtheloadeffects
2. Uncertaintiesassociatedwithinherentvariabilityofthe ground
3. Uncertaintiesinevaluationofgeotechnicalmaterialproperties
4. Uncertaintiesassociatedwiththe degree towhichtheanalysisrepresentstheactualbehaviour/responseof
thefoundation, structure,andthegroundthatsupportsthestructure.
The above uncertainties involve bothstructural andgeotechnical aspects and other considerationsthat contribute
to the overall risk. Standard design philosophies and proceduresgenerallytake uncertainty into accountthrough
the application ofspecified safety factors to manage risk satisfactorily. Inworking (allowable) stress designthis
is handledby the overall global factorofsafety; whereas in limitstates design, theuse ofseparatepartial factors
on loads andresistances are used (referto Chapter 8). Natural groundvariability and evaluationofgeotechnical
propertiesusuallyconstitutethegreatestuncertainty,commensuratewiththecomplexgeologicalprocessesinvolved
withthe depositionandformationofsoilandrock.
Incontrast,grosserrorsincludinghumanerrors oromissionsthatoccurinpracticearenotquantifiedortakeninto
accountthroughsafetyfactorsindesign.Theseerrorsareusuallyhandledby, ormitigatedthrough,qualitycontrol
and quality assuranceprograms, andindependentthirdpartyreviews on largerprojects. It is notedthat gross or
humanerrorsareprobablyresponsibleformostofthe failuresthatoccur.
7.4 Geotechnical Design Process
The geotechnical design process, as it relates to foundation design, is schematically summarized in Figure 7.1.
Thedesignprocessstartsoffwiththeprojectdescription(e.g.,abuildingwithspecificcapacityandserviceability
requirements basedontheclient'sneeds).Abasicdesignissue, fromtheperspectiveofgeotechnicalengineers,is
relatedtodeterminingthemostappropriatetypeandsizeoffoundationunits.
Toassistinthedesignprocessandtoensureaspecifiedlevelofsafetyandcompliancewithaminimumspecifiedlevel
of technicalquality,engineersrefertoajurisdictionalcodeofpractice.Thepurposeof codesistoassistengineersin
makingappropriatedesigndecisions.Codesmayalsoprovidegeneralguidanceforsiteinvestigationrequirements.
Froman interpretationoftheresultsfromtheinvestigation,geotechnicalengineersformulateageotechnicalmodel
ofthe site in terms ofstratigraphy, soil and groundwaterconditions, and engineeringproperties. Codes andtheir
referencedocumentsalsousuallyprovideguidanceforthechoiceofappropriategeotechnicalparameters,presenta
discussiononappropriatetheoryandcalculationmodelsorequationsforgeotechnicalresistances,andspecifyload
combinationsandloadeffectsfordesign.
Thegeotechnicalparameters are dependentonmanyfactors andare subjecttosignificantinherentvariabilityand
uncertainty.Thereisnouniqueanswerto questionsassociatedwiththe shearstrengthanddeformationparameters
thatarethemostappropriatefordesignpurposes.Dependingonpastexperienceandjudgment,differentengineers
couldarriveatandusedifferentvaluesofshearstrengthorcompressibility,evenforthesamesite.
Theselectionofcharacteristicdesignvaluesofsoilandrockpropertiesneedsto accountforthefollowingissues:
Geologicalandotherbackgroundinformationincludingdatafrompreviousprojects
Inherentvariabilityofthegroundanditsproperties
Foundation Design 125
Extent or zone of influence in the ground that contributes to overall behaviour and perfonnance of the
ground under load effects for possible limit states or failure modes
• Effect of construction activities on in-situ ground properties and characteristics
Influence of workmanship on constructed or improved ground
Scale effects and possible differences between the results of discrete small sized laboratory and field tests
relative to the overall ground mass due to factors such as:
- presence of fissures, joints and other planeslzones of weakness
- testing rate effects
- stress path effects
- brittleness or ductility (stress-strain response)
Other factors considered to be relevant for the site and project.
In summary, the selection of the characteristic value for design should appropriately take into account all factors that
influence the property or parameter under consideration. The selection of suitable characteristic values, therefore,
requires engineering judgment and experience. Additional discussion on characteristic values for design is presented
in Chapter 8.
The selection of the procedure used to detennine ultimate geotechnical resistances will be influenced by the scope
of the site investigation and the complexity ofsubsurface conditions at the site. The calculation procedure or design
equation for geotechnical resistance is usually based on theories of elasticity, plasticity and other relevant theoretical
frameworks. In addition, ultimate bearing capacity and many geotechnical design parameters are frequently
selected on the basis ofempirical correlations to in-situ tests such as the Standard Penetration Test (SPT), piezocone
penetration test (CPT), pressuremeter test and other in-situ tests. These correlations involve inherent uncertainty
and may be site specific. Such empirical correlations need to be applied judiciously and with caution. Some people
suggest that the geotechnical community should reduce, if not avoid, reliance on these types of correlation models.
Nevertheless, traditional, empirical correlations are expected to remain in use and will continue to be an integral part
of design practice for some time. This is because the geotechnical professional heritage is embodied in empirical
correlati ons.
A sound, basic design approach requires a thorough understanding of the key design issues, of the geological
setting and geotechnical conditions, and of the interaction between them. In most cases, a good understanding of
these factors is as important, if not more so, as the analytical/numerical methods used for analysis and calculation.
It is important to initially capture the essence of the problem, and then proceed with appropriate, simple analysis
followed by an increasing level of sophistication and complexity, as required or as the project demands.
For the calculation model and load effects, codes specify safety factors aimed at producing a design with an
acceptable risk or level of safety. The safety factors specified help to account for and to mitigate uncertainties in
the design process, such as those related to loads, material properties, design equations, and inherent variability in
the ground conditions at the site. For large, complex and special projects that involve a high degree of risk (e.g.,
long-span bridge) a comprehensive site investigation may be able to provide sufficient data for the geotechnical
parameters for strata at various depths to be described in tenns of a mean and standard deviation. If sufficient data
are available to describe adequately both loads and resistances, a complete or fully probabilistic method, involving
reliability theory, may be used for design and for risk management.
As shown in Figure 7.1, the geotechnical model of the site, calculation model, and load effects are considered in
the geotechnical analysis of load carrying capacity and settlement of the foundation. The results from the analysis,
when appropriately tempered or modified by engineering judgment and experience, are then used in the decision
making process as to what constitutes the most appropriate type and size of foundation unit for the building.
Foundation DeSign Methodology
A detailed flow chart for the design of foundations is shown on Figure 7.2. In many cases, the flow chart can be
simplified depending on the project requirements. However, the figure illustrates the key factors and interaction that
7.5
126 Canadian Foundation Engineering Manual
affect the design and selection of the most appropriate choice of foundation for a given site and project.
000000
oDO [100
ODODDo
oODOIJD
O[[DODO
PROJECT DESCRIPTION
DESIGN CRITERIA
iiNTERPRETAT10N 1
GEOTECHNICAl MODEL
!
(CLIENT'S NEEDS)
GEOTECHNICAl ANAlYSIS FOR
CAFACITY AND SETTlEMENT
ENGINEERING
EXPERIENCE
AND JUDGEMENT
."
8 = ?
1.Sm
DESIGN ISSUE LOAD EFfECTS DESIGN DECISION
FIGURE 7.1 Components offoundation design and role ofcodes ofpractice
(after Ovesen 1981, 1993 and Becker 1996a).
An important aspect ofthe flow chart (that is inherent to limit states design methodology) is the distinct and explicit
separate treatment of ultimate and serviceability limit states. Although the traditional working (allowable) stress
design approach also considers both ultimate capacity and settlement, the separation or distinction between them
was not clear or evident. For example, the traditional global factor of safety of three in working (allowable) stress
design often is used to limit settlements to acceptable values, while at the same time to account for uncertainties
associated with applied loads and ultimate geotechnical bearing capacity. The separate and distinct treatment
of ultimate capacity and settlement (serviceability) are key aspects and form the kernel concept of limit states
design that is all too frequently missed, or not well understood or appreciated by foundation engineers. Additional
information and discussion on limit states design is provided in Chapter 8.
- -- - - -- - -- - -
- - - - -- - - -
- - -- - - - - - - - - - --
- - - - -
FoundationDesign 127
Assembleinformation
regarding proposed
structure:
I type, function
•
i Formulatespecnicationof I
;requiredfoundation
;pertormance
Assemble information
regardingsiteforprop.
structure: geology,
topography, climatic
factors
Field Investigation
.... - -
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I
I
....
I
I
I
<C-
I
I I
I
I
I
I
I
I
Selectionoffoundation - -
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type
- - --
..--
:.- - :.-=- -=-+ -:. ~ - - - - - - - - - - -,- --I
.
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I
....
I
protection,slopestability, 1
I
Proposedarrangement
offootingsinplan Factorsaffectingdepth
oflooting: frost
•
erosion, topography,
I
., I
soil conditions,water
I
level,swelling ......
I
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--.
Examinenumberof
-boreholes
possibleloundatlon
rt-
-trialpits
configurationsandmake
- insitutests
tentativeeconomic
- groundwater
evaluation01 each
conditions
t ,
Ilaboratory
: investigations
I ~ I k } properties
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----+---- -
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FIGURE 7.2 Flow diagram for design offoundations (from NBCC (2005) - User sGuide)
Thekeyaspectsofthedesignflowchartare:
Assimilationofallrelevantgeotechnicalandstructuralinfonnationanddata
• Appropriate field and laboratory investigation to define the geotechnical model and characteristic design
values,
Identificationofallpossiblefoundationlimitstatesor"failure"mechanismsthatwouldresultinunsatisfactory
128 Canadian Foundation Engineering Manual
performance. The key geotechnical ultimate limit states (ULS) are bearing capacity, sliding, overturning,
uplift and excessive foundation deformation that would cause a ULS condition to occur in the structure.
For serviceability limit states (SLS), the main consideration is deformation (in terms of settlement and
horizontal displacement, vibration effects and others).
Checking (through appropriate analysis) of each identified limit state to ensure that they either would not
exist, or are within acceptable levels of risk (probability of occurrence).
7.6 Role of Engineering Judgment and Experience
Engineering judgment and experience are, and always will be, an essential part of geotechnical engineering; they
are vital for managing safety (risk) of geotechnical structures. There will always be a need for judgment, tempered
by experience, to be applied to new technologies and tools. Many aspects of geotechnical design are heavily reliant
on engineering judgment and experience.
The spirit of the limit states design concept, as it was originally conceived, is particularly important in geotechnical
engineering. The proper identification of potential modes of failure or limit states of a foundation, which is the first
step in design, is not always a trivial task. This step generally requires a thorough understanding and appreciation of
the interaction between the geological environment, loading characteristics, and foundation behaviour.
Reasonable analyses can be made using relatively simple models if the essence of geotechnical behavior and soil-
structure interaction is captured in such models. There must also be a sufficient data and experience base to calibrate
these models. Empirically based models are only applicable within the range of specific conditions reflected or
included in the calibration process. Extrapolation beyond these conditions can potentially result in erroneous
predictions of performance.
In summary, engineering judgment and experience play an integral role in geotechnical engineering analysis and
design. Uncertainties in loads, material strengths (resistance), models, identification of potential failure modes or
limit states, and geotechnical predictions all need to be considered collectively in controlling or ensuring an adequate
level of safety in the design. The role of the geotechnical engineer through his or her judgment and experience, and
that of others, in appreciating the complexities of geotechnical behavior and recognizing the inherent limitations in
geotechnical models and theories is of considerable importance. The management of safety (risk) in geotechnical
engineering design is distributed amongst the many aspects of the overall design process, including experience and
judgment.
7.7 Interaction Between Structural and Geotechnical Engineers
Geotechnical resistance and reaction are a coupled function of applicable geotechnical parameters and of applied
loading effects. Consequently, close and effective communication and design interaction between structural and
geotechnical engineers need to take place to assure compatibility with the various design criteria, and achievement
of desired performance and economy. Although this interaction and effective communication should occur for
all classes of problems, it is especially important, if not essential, for more complex soil-structure interaction
considerations where the design procedure involves, or is based on a modulus of sub grade reaction (vertical or
horizontal). Examples include horizontal deformation and capacity of piles, retaining walls and raft/floor slab
foundations. Additional discussion is presented in Section 7.7.1.
Some codes, such as the Canadian Highway Bridge Design Code (CHBDC), formally require that appropriate
design interaction and communication occur between geotechnical and structural engineers. This legal requirement
of such design interaction is an important precedent and step towards safe, economical design of foundations.
7.7.1 Raft Design and Modulus of Subgrade Reaction
In the design of a raft foundation, structural engineers usually ask for the value of the coefficient (modulus) of
J
ii
sub grade reaction of the supporting soil. Because of local variations in soil type under the raft, disturbances that
Foundation Design 129
take place during excavation and placement of steel reinforcing, and limitations of the theory, only approximate
indications of the magnitude of the coefficient of sub grade reaction can be given. In addition, because the stresses
from the raft affect the soil to considerable depth below bearing level, longer-term consolidation settlements may
develop; these settlements also may vary, depending on the differences in soil compressibility existing at different
points under the raft. Such considerations need to be taken into account by the geotechnical engineer when assessing
appropriate values for sub grade reaction.
Unlike strength and compressibility, the modulus of sub grade reaction is not a fundamental soil property. Rather,
it is a common design approach used by structural engineers to model the interface between the foundation soil
and concrete footing (Le., soil-structure interaction). The modulus of sub grade reaction is a number required by
structural engineers' to model the deformation and stiffness response of a footing (raft) on soil. The modulus of
sub grade reaction is deflned as:
k=q/8 (7.1 )
where
k modulus of sub grade reaction
q applied bearing or contact pressure on footing
8 settlement of footing under applied pressure q
The modulus of subgrade reaction, though simple in its definition, is a very difficult parameter to evaluate properly
because it is not a unique fundamental property that is readily measured. Its value depends on many factors, including
size and shape of footing (raft), type of soil, relative stiffness offooting and soil, duration of loading relative to the
hydraulic conductivity of the loaded soil, and others. The value of modulus of sub grade reaction can also vary from,
one point to another beneath a footing or raft (e.g., centre, edge or comer) and can change with time, in particular
for soils with low hydraulic conductivity such as clays.
Field plate load tests are commonly used to determine numerical values for the modulus of subgrade reaction. A
database ofn1,lmerical values and types of soil has been developed. Because the modulus value can change with size
of footing, a one foot (300 mm) square footing has been adopted as the standard basis for comparison purposes,
and frequently serves as the starting point for design. The technical literature cites typical values for the modulus of
subgrade reaction, kyl' (for square plate) for a variety of soil types. Typical ranges in kYl are summarized
in Table 7.1. Appropriate design values for modulus ofsub grade reaction generally decrease ifthe size of the loaded
plate (or footing) is larger than one foot (30Q.I'lun) by one foot (300 mm). The manner in which the value of modulus
of subgrade reaction decreases with increasing footing size varies with the type of foundation soiL Additional
information is provided below, as well as by Terzaghi (1955), NavFac (1982) and Winterkom and Fang (1975).
TABLE 7.1 Typical Ranges In Vertical Modulus OfSub grade Reaction
Soil Type
Granular Soils (Moist or Dry) (2)
kV1 (MPa/m) (1)
Loose 5 - 20
Compact Sand 1 20-60
Dense. 60 -160
Very Dense
160 300 (3)
Cohesive Soils
Soft <5
Firm 5 -10
10-30 Stiff
30 - 80 Very Stiff
80 200 (3)
Hard
...
130 Canadian Foundation Engineering Manual
Notes:
1. For a 1 (300 mm) x 1 ft. (300 mm) plate
For granular soils, kVb = ky! (\:lr
For strip footing on cohesive soil, kYb = kjb
If the loaded area on cohesive soil is of width b and length mb, kYb
b l.5rn
where
kYb modulus for actual footing dimension b
b = foundation width
When using the above expressions, care must be taken to ensure that the units are consistent. These equations were
initially derived for b in units of feet. Therefore, when using b in meters, the expression (b+ 1) needs to become
(b+O.3) and (m+O.S) becomes (m+0.15).
2. If below groundwater table, these values should be multiplied by 0.6.
3. Higher values to be used only if assessed on basis of adequate test results and settlement calculation.
Values for modulus ofsubgrade reaction can be derived from the results ofplate load tests using elastic displacement
theory as represented by:
(7.2)
where
I an influence factor that is dependent on geometry of footing and thickness of compressible soil relative
to footing width
b width of footing
v = Poisson's ratio (v = 0.5 for undrained condition and typically about 0.3 for drained conditions for most
soils) .
E = modulus of deformation (Eu if examining undrained condition and E' for drained condition)
Rearrangement of Equation (7.2) gives
(7.3)
Therefore, ifvalues ofE are known for the soil within the zone of influence, beneath a footing of width b, reasonable
estimates can be made for the modulus of sub grade reaction, k
yb
, using Equation 7.3. Typical values for E are
provided in references such as Bowles (1988), NavFac (1982) and many others.
It is generally considered that the use of settlement calculation is a more rational method of assessing modulus of
sub grade reaction than is the use of adjusting typical values ofkV! for a one-foot square plate. The value of modulus
of sub grade reaction for the footing or raft under consideration is the applied pressure at a given location divided by
the settlement calculated at that location for the applied pressure (i.e., k=q/8).
It is emphasized that values of kYb as determined from extrapolation of plate bearing tests or from kVI should be
used with judgment and care. The deformation response of a smaller sized plate may not be representative of the
response of the larger sized actual foundation because the zone of influence extends much deeper for the actual
foundation. This aspect is especially important in ground with variable stratigraphy and engineering properties with
depth, in particular for the case of softer soil at depth to which the zone of influence for a small plate would not
Foundation Design 131
extend. The results from the test plate would not reflect the response of the soft layer at depth. Further, the results
from plate load tests on clays and clayey silts may be unreliable because the time associated with the testing may not
permit complete consolidation (drainage of excess porewater pressure) of these fine-grained soils. An assessment
of whether an undrained or drained condition prevailed during the test must always be made. For design, the test
results obtained would need to be adjusted (corrected) as appropriate.
...
8
132 Canadian Foundation Engineering Manual
Limit States and Limit States Design
I
!
Limit States and Limit States Design
8.1 Introduction
1
The geotechnical engineering profession in Canada and elsewhere throughout the world is in the process ofevaluating
and incorporating limit states design (LSD) into codes ofpractice for geotechnical aspects offoundation engineering.
A benefit of LSD for geotechnical aspects of foundation design is that it provides a consistent design approach!
philosophy between structural and geotechnical engineers. Information on the background and development of
LSD for structures and for foundations is provided by Allen (1975), MacGregor (1976), Meyerhof(1982, 1984 and
1995), Duncan et al. (1989), Green (1989, 1991 and 1993), Ovesen and Orr (1991), Becker (1996a and b), Green
and Becker (2000) and Becker (2003). In addition, the proceedings of international workshops and symposia,
including DGS (1993), LSD 2000 and IWS Kamakura 2002 provide substantial information and discussion.
To date (i.e., early 2000's) geotechnical engineering practice largely continues to use traditional working (allowable)
stress (WSD) design for foundations. However, most structural design is carried out using LSD concepts. Therefore,
a significant degree of inconsistency exists in the design interaction between structural and geotechnical engineers,
which could lead to different levels ofsafety and to errors. There is no basic reason why limit states design principles
cannot be applied to the design offoundations. Ground (soil or rock) can be treated as an engineering material, albeit
one that may exhibit considerable variability and deformability. Models can be developed to show how ground
resists forces and deformations, and how ground can induce load on structures. The principles of engineering
mechanics and of deformable bodies can be applied in conjunction with analytical procedures to analyse foundation
units for serviceability and ultimate limit sates.
Both structural and geotechnical engineers have the common mandate of achieving a specified level of safety and
minimizing repair and loss of function during the life of a structure. The design should also be efficient from an
economic viewpoint. Economic advantage can be realized if all members-components of the structure are designed
to a consistent appropriate level ofsafety or reliability. This objective is enhanced ifboth geotechnical and structural
aspects of foundation design are based on the same design approach and concepts. Therefore, a strong motivation
for the use of LSD in foundation engineering is the need, benefit and importance of a compatible design process
between structural and geotechnical engineers. However, there are important technical benefits associated with
the use of LSD for geotechnical aspects of foundation design. LSD has significant merit and advantages over the
traditional WSD approach for foundation design (Becker 1996a). LSD can be viewed as a logical extension to
WSD. It is considered that LSD will eventually become the general state ofpractice by geotechnical engineers for
foundation design.
To date, some existing Canadian Codes such as the Canadian Highway Bridge Design Code (CHBDC 2000), the
Ontario Highway Bridge Design Code (OHBDC 1983 and 1992), the National Building Code of Canada (NBCC
2005), the Canadian Standard Association (CSA) S472 Standard for Foundations in the Offshore Code (CSA 1992)
have introduced or require LSD for foundations. Green and Becker (2000) and Becker (2003) provide a status of
LSD in Canada for geotechnical engineering design practice.
Limit States and Limit States Design 133
8.2 What Are Limit States?
Limitstates are definedas conditions underwhich astructure orits componentmembers no longerperformtheir
intendedfunction.Wheneverastructureorpartof astructurefailstosatisfyoneof itsintendedperformancecriteria
itissaidtohavereachedalimitstate.Alimitstateisassociatedwithunsatisfactoryperformance. '
Limitstatesareclassifiedintothetwomaingroupsofultimatelimitstatesandserviceabilitylimitstates.
Ultimatelimitstates (ULS)areprimarilyconcernedwithcollapsemechanisms ofthe structureand, hence, safety.
Forfoundationdesign,ULSconsistof:
exceeding the load carrying ability ofthe ground that supports the foundation (i.e., ultimate bearing
capacity),
sliding,
uplift,
overturning,
largedeformationofthe foundationsubgradethatleadstoanulsbeinginducedinthestructure,and
lossof overallstability.
Because oftheir relationship to safety, ULS conditions are designed for a low probability ofoccurrence that is
consistentwiththe desiredorspecifiedlevelofsafetyandreliability.
Serviceability limit states (SLS) represent conditions or mechanisms that restrict or constrain the intended use,
function oroccupancy ofthe structure under expected service orworking loads. SLS areusuallyassociatedwith
movementsordeformationsthatinterruptorhinderthefunction(i.e.,serviceability)ofthestructure. Forfoundation
design,SLSgenerallyconsistof:
• excessivemovements(e.g., settlement,differentialsettlement,heave,lateralmovement,cracking,tilt),
unacceptablevibrations, and
• localdamageanddeterioration.
SLShaveamuchhigherlikelihoodorprobabilityofoccurrencethanULS. SLSmaybeviewedasthosethingsthat
makelifedifficult,butarenotnecessarilydangerous.
ThedistinctionbetweenULSandSLSmaybebetterappreciatedbythefollowingexample. Abuildingthatdoesnot
collapseunderspecifiedloading hasperformedsatisfactorily againstanULS condition. However, ifdeformation
has occurredto the extentthatthe ownercannot open doors to the buildingorifthefloor andwalls are severely
cracked,thenSLShavenotbeensatisfied.Becausethebuildingdidnotcollapse,safetyhasbeenassured;however,
damagetothebuildingno longerallowsit to performitsintendeduseoroccupancy(serviceability).
Allowable movements offoundations and structures depend on soil-structure interaction, desired serviceability,
harmful cracking, vibration, and distortion restricting the use ofa given structure. Empirical damage criteria
are generally related to relative rotation (i.e., angular distortion, deflection ratio,·or tilt ofthe structure). For
superstructures,thesecriteriadifferfor framebuildings(bareorc1added), load-bearingwalls(saggingorhogging),
andotherstructures,dependingonthedifferentialsettlementaftertheendoftheconstruction.Additionalinformation
isprovidedbyBurlandetaL (1977)andFeld(1965).
Theallowable(tolerable)movementsanddeformationsofstructuresshouldbedeterminedforeachparticularcase.
Forcommontypes ofbuildingsandforsomeothertypesof engineeringstructures,tentative safelimitshavebeen
suggestedas aguide (Bjerrum 1963 andMeyerhof1982).Appropriate guides are also given in otherparts ofthis
Manual. However, theseguidelines shouldnotstandinthewayofdirectcommunicationandinteractionbetween
geotechnicalandstructuralengineers.
. ...
134 Canadian Foundation Engineering Manual •.
,
1
The loads that are applied to a foundation consist of pennanent (dead) and transient (e.g., live, snow, wind) loads. 1
The full values of live (transient) load effects do not necessarily need to be used in a calculation or analysis, of j
magnitude of foundation settlement. Full or complete values of permanent load effects always need to be included;
however, whether the total magnitude of live (transient) load effects needs to be used depends on the consolidation
characteristics of the soils that exist within the zone of influent below the foundation.
For cohesionless soils, settlement estimates should be based on the maximum (dead and live) loads with an
allowance for any dynamic effects. For fine-grained soils that have relatively low rates of consolidation settlement,
the duration of the transient load effects is usually not sufficient for a substantial portion of consolidation settlement
to take place under transient loading. In these cases, ignoring the transient load effects or using only a proportion
of the total transient load in a settlement analysis may be appropriate. The appropriate proportion of total transient
load effects for a given circumstances depends primarily on the duration of the applied transient loading relative
to the coefficient of consolidation of the foundation soils. Although relevant Codes of Practice may specify or
provide guidance as to suitable proportions for use in settlement analyses, this task is usually left to the discretion
of geotechnical engineers. Settlement estimates for cohesive soils therefore, could be based on dead loads, plus a
reduced load for live and other transient loads.
The effects of elastic displacements, shear distortions and permanent hysteresis effects that may be induced by
transient loading effects should be considered and included in settlement analysis, as appropriate.
8.3 Limit States Design (LSD)
In essence, limit states design (LSD) involves the identification of all possible limit states or "failure" mechanisms,
and the subsequent checking that the probability or likelihood of occurrence of each limit state identified will be
within an acceptable or specified level of safety or reliability. The term "failure" is used here in the general sense
of unsatisfactory performance. It does not necessarily mean rupture or collapse. The applicable, acceptable level of
safety or reliability is usually defined by the target reliability index that is specified by governing codes.
Each potential limit state identified is considered separately, and through the design process its occurrence is
demonstrated to be sufficiently improbable (or eliminated) or to be acceptable.
ULS conditions are checked using separate, partial factors on loads and On nominal (ultimate) geotechnical resistance.
The values of these partial factors are specified by applicable codes and manuals (guidelines) for state-of-practice.
The magnitudes of the partial factors are usually based on calibration to WSD (including engineering judgment) or
on reliability theory, or a combination of both (Becker 1996a and b, Green and Becker 2000, Kulhawy and Phoon
2002, and Phoon et al. 2003). The magnitude of the specified partial factors serve as a means of risk management
towards achieving the desired or target level of safety/reliability.
The SLS conditions are checked using working or service loads and unfactored geotechnical properties. In essence, a
partial factor ofone is used on all specified loads and on the characteristic values for deformation and compressibility
properties of the ground. Geotechnical characteristic values are generally based on conservative ( cautious estimate)
mean values obtained from in-situ and laboratory tests. In this sense, the methodology of SLS calculation is virtually
identical between LSD and WSD approaches.
The explicit distinction between safety (ultimate) and deformation (serviceability) analyses/calculations, and the
classification of performance that flows from this distinction, reflect the kernel concept of limit states design. This
distinct and explicit separate treatment of ULS and SLS is the essence and most important fundamental aspect of
limit states design.
Although the traditional working (allowable) stress design approach considers ultimate capacity and settlement, the
separation or distinction between them was not clear or evident. For example, the traditional global factor ofsafety
of three in working (allowable) stress design often is used to limit settlements to acceptable values, while at the
same time to account for uncertainties associated with applied loads and ultimate geotechnical resistance ( capacity).
Limit States and Limit States Design 135
The separate, distinct treatment of ultimate capacity and settlement (serviceability) is the key aspect of limit states
design that is all too fi'equently missed, or not well understood or appreciated by geotechnical engineers.
The historical development of geotechnical LSD has been described and summarized by Ovesen and Orr (1991),
Meyerhof (1995), Becker (1 996a) and others. The approaches to LSD have developed differently in NOlth America
and in Europe, mainly in the manner for calculating factored geotechnical resistances at ULS.
In the factored strength (European) approach, specified partial factors are applied directly to the geotechnical strength
parameters of cohesion and angle of internal friction. The resulting factored strength parameters are then used in
traditional equations/formulae for the direct calculation of factored geotechnical resistance at ULS for design. This
is the approach advocated and required by Eurocode 7 (ENV 1991, 1994, 1997, Eurocode 7 (1987 and 1990)).
In North America, a factored resistance methodology, such as load and resistance factor design (LRFD), has become
the standard approach. In this method, an overall specified resistance factor is applied to the calculated or assessed
ultimate geotechnical resistance for each applicable limit state. The ultimate resistance is firstly calculated from
"rear' or unfactored ( characteristic) strength parameters using traditional equations or formulae; the calculated
ultimate resistance is then multiplied by a single, specified geotechnical resistance factor to obtain the factored
geotechnical resistance at ULS for design.
Figure 8.1 summarizes the comparison of these two LSD approaches. The advantages and disadvantages of the two
approaches are a subject of debate by geotechnical engineers throughout the world. The interested reader is referred
to Becker (l996a) for a detailed discussion. For the purposes ofthis manual, the factored resistance approach is used
because, as stated in Chapter 7, it forms the basis of many existing codes of practice currently in use in Canada and
the United States.
It is noted that this LSD approach does not alter the methods for calculating ultimate geotechnical resistance
(capacity). The calculations are performed according to the same traditional and classical methods that are familiar
to all geotechnical engineers using working (allowable) stress (WSD) design. The key difference is the manner in
which the design value is obtained and used. In WSD, a single global factor of safety is used; whereas in LRFD,
several partial load and' resistance factors are employed. The only difference in the execution of calculation for LSD
design values is that the ultimate geotechnical resistance (capacity) is multiplied by a different (both in terms of
rationale and magnitude) factor of safety.
EUROPEAN APPROACH :
(factored strength approach)
RESISTANCES LOAD EFFECTS
... ....
Factored Factored
Factored
Unfactored (I R d d) Resistance
"""II- Characteristic
strength .e. e uce > (I.e. Increased)
---II-- Strength ----JIIo-- for DesIgn, Load Effects, S
Load Effects,
Parameters Po t Rd
rame ers,
Sd
IMODEL I
Ic, q, I ltc, t [email protected]]1] ....
WHERE C f / ~ f ) < C / ~ )
LOAD
_ S
-
FACTORS. X
Y
f
...
8.4
136 CanadianFoundation Engineering Manual
NORTHAMERICAN APPROACH:
(factoredresistanceapproach)
RESISTANCES LOAD EFFECTS
... ...
Factored
Strength .......... (nominal) (i.e..Reduced) >
(i.e. Increased)
Unfactored Unfactored
......-
Load Effects
(e $) Rn for Design
forDesign,
Parameters Resistance. Resistance
,
aSn
Rn
Characteristic
(nominal)
LoadEffects.
Sn
-
- - <fiR - _ n
-.-
IMODELI
RESISTANCE
@IJ .. X FACTOR, ..........
¢l
USn
- - - Sn
-
---
-
-
.....-
LOAD
X
FACTORS
u
FIGURE 8.1 Comparison oflimit states design approaches for ultimate limit states
(after Ovensen and Orr, 1991; Becker, 1996a)
LSD BasedonLoadandResistanceFactorDesign(LRFD)
Significant and varying degrees ofuncertainty are inherently involved in foundation and other geotechnical design.
Therefore in recent years, there as been a trend towards the use ofreliability-based design and probabilistic methods
in geotechnical engineering design. However, complete probabilistic design is difficult to apply reliably and
appropriately, in particular in most practical geotechnical design situations, generally because of lack ofstatistically
viable information. Complete probabilistic methods are also time-consuming and expensive, which makes them
practical or suitable for large, special projects only. Because of these difficulties, simpler, yet probabilistically
baseq design procedures have developed. LRFD is an example where the partial factors have been based on
or calibrated using probability and reliability concepts. For the consideration of ultimate limit states, the separate
consideration of loads, materials and performance provides the opportunity for the design to be more responsive to
the differences between types of loads, material types, fundamental behaviour of the structure and of the ground,
and consequence of different modes of unsatisfactorily performance (i.e., limit states).
The basic design equation is:
(8.1)
where
<DR
n
is the factored geotechnical resistance
<D is the geotechnical resistance factor
R
n
is the nominal (ultimate) geotechnical resistance determined through engineering analyses
(e.g., bearing capacity) using characteristic (unfactored) values for geotechnical parameters
or performance data (e.g., pile load test); it represents the geotechnical engineer's best
estimate of resistance, that has appropriately taken into account all factors influencing
resistance
is the summation of the factored overall load effects for a given load combination
condition
(X.
I
is the load factor corresponding to a particular load; it accounts for uncertainties in loads
--
Limit Slales and Limit States Design 137
is a specified load component of the overall load effects (e.g., dead load due to weight of
S.
m
structure or live load due to wind); and
represents various types of loads such as dead load, live load, wind load, etc.
The values for load factors (a), geotechnical resistance factors (<D) and load combinations are specified by applicable
codes (e.g., NBCC, CHBDC, AASHTO, etc.).
The load factors, a, are usually greater than one; they account for uncertainties in loads and their probability of
occurrence. The resistance factors (or performance factors as they are sometimes called), <D, are less than one
and account for variabilities in geotechnical parameters and analysis uncertainties when calculating geotechnical
ultimate (nominal) resistances.
The design equation can be visualized by inspecting the interaction ofthe probability distribution curves for resistance
and load effects, as shown schematically on Figure 8.2. It should be noted that the resistance and load effects are
assumed to be independent variables, which is approximately true for the case of static loading. The characteristic
or nominal values for load effects (S) and resistance (R,,) do not necessarily need to be taken as the mean values of
Sand R, respectively. The nominal or characteristic values for design are related to the mean values as follows:
-
~ = Rand
kR
Sn= S
ks
(8.2)
where
kR is the ratio of mean value to nominal (characteristic) value for resistance; and
ks is the ratio of mean value to specified (characteristic) value for load effects.
The factors ofkR and ks are used to define characteristic values of design based on the mean values ofthe resistance
and load distribution curves, respectively. Typically, kR values are equal to or greater than one (i.e., Rn ~ R) and kg
values are less one (Le., Sn ;;::S). The terms kR and kg are also referred to as bias factors by some researchers. The
bias factor is one if the mean value is used as the characteristic value.
Sn= S/ks
LOAD EFFECTS
S ) ~
S Sn Rn R
LSD FORMAT: cD R n ;;;: IX Sn
/ RESISTANCE (R)
MAGNITUDE OF RESISTANCE AND LOAD EFFECTS (R, S)
FIGURE 8.2 Load and resistance factor design (LRFD)
138 Canadian Foundation Engineering Manual
In practice, values for a and <I> are specified in codes. They are based on target values of reliability or acceptable
probabilities of failure selected to be consistent with the current state-of-practice. In general, different values of a
and <I> are provided for different limit states. Although values of a may differ between codes in various countries,
load factors are typically in the range of 0.85 to 1.3 for dead loads and in the range of 1.5 to 2.0 for live and
environmental loads. A load factor ofless than 1.0 for dead loads is used when the dead load component contributes
to the resistance against overturning, uplift, and sliding. Typical values of<D range from about 0.3 to 0.9, depending on
ground type, method of calculating resistance, and class of structure such as foundation type or retaining structure.
a.s Characteristic Value
It is important to note that the load and resistance factors are interrelated to each other. That is, the value of 0:. is
dependent on the value of <1>, and vice versa. The values of a and <I> depend on the target reliability index for design,
the variability of the parameters that affect loads and resistances, and the definition of their characteristic values.
Load and resistance factors have been derived (calibrated) based on characteristic values that have been defined in a
specific manner. Therefore, consistent sets of these factors must be used in design as per their intended purpose and
specific evaluation. It is inappropriate to use a set ofresistance factors (that have been derived for specific values
ofload factors) and directly use them with other load factors that have been taken from an unrelated source, or vice
versa. For consistent and rational design in practice, the selection of a given characteristic value for geotechnical
resistance needs to be made in the same manner as that used to derive the specified resistance factor. That is, if the
mean value was used in the derivation of the resistance factor, the mean value of a given geotechnical property
should be used in the calculation of geotechnical resistance. The use ofthe mean value or a value slightly different
from the mean is frequently used in reliability analysis for the determination (calibration) of load and geotechnical
resistance factors.
The key statistical parameters (i.e., the ratio ofthe mean value to characteristic value and the coefficient ofvariation)
for geotechnical resistance depend on many factors, including site investigation method, quality and quantity of
testing (laboratory and in the field), construction quality control, and method of analysis.
The selection ofnominal or characteristic strength for design varies with local state-of-practice and with the training,
intuition; background, and experience ofthe individual geotechnical engineer. Frequently, the mean value or a value
slightly less than the mean is selected by geotechnical engineers as the characteristic value for design purposes.
Eurocode 7 proposes a "cautious estimate" of the mean value for the characteristic value.
The geotechnical engineer selects representative (characteristic) geotechnical parameters based on the results of
appropriate investigations (field and laboratory). Representative in this sense refers to the geotechnical engineer's
best estimate of the likely values of parameters required for design. As discussed in Chapter 7 (Section 7.4), the
selection of the characteristic value, for a given design situation, should appropriately take into account all factors
that have influence pn the parameter or property for the volume of ground (zone of influence) under consideration.
The selection of appropriate characteristic values is assisted by engineering judgment and experience. In addition
and as mentioned above, the geotechnical engineer should be cognizant of the interrelationship between resistance
and load factors and characteristic value when selecting characteristic geotechnical parameters for design purposes.
A cautious estimate of the mean value for the affected volume of ground (zone of influence) is generally considered
to be a logical value to use for the characteristic value.
Recommended Values for Geotechnical Resistance Factors
The recommended resistance factors are specified in applicable codes and manuals ofpractice. Although the values
recommended by various codes tend to be similar, there are some specific differences. For example, the values in
the NBCC (2005) and CHBDC (2000) are shown in Table 8.1 and Table 8.2, respectively. The reliability index
associated with these resistance factors ranges from 2.8 to 3.5, a range that is generally consistent with values
commonly specified for the design of structures.
a.6
Limit States and Limit States Design 139
TABLE 8.1 Geotechnical Resistance Factors jor Shallow and Deep Foundations NBCC (2005)
1.
(a)
(b)
2.
(a)
(b)
Description
Shallow foundation
Vertical bearing resistance from semi-empirical analysis using laboratory and
in-situ test data
Sliding
(i) based on friction (c 0)
(ii) based on cohesion/adhesion (tan 0)
Deep foundation
Resistance to axial load
(i) semi-empirical analysis using laboratory and in-situ test data
(ii) analysis using static loading test results
(iii) analysis using dynamic monitoring results
(iv) uplift resistance by semi-empirical analysis
(v) uplift resistance using loading test results
Horizontal load resistance
TABLE 8.2 Geotechnical Resistance Factors
Shallow Foundations
Bearing Resistance
Passive Resistance
Horizontal Resistance (Sliding)
Ground Anchors (Soil or Rock)
Static Analysis Tension
Static Test Tension
Deep Foundations - Piles
Static Analysis Compression
Tension
Static Test Compression
Tension
Dynamic Analysis Compression
CHBDC (2000)
0.5
0.5
0.8
0.4
0.6
0.4
0.3
0.6
0.4
. 0.4
Resistance
Factor, (J)
0.5
0.8
0.6
0.4
0.6
0.5
0.3
0.4
0.5
Dynamic Test Compression (field measurement and analysis) 0.5
Horizontal Passive Resistance 0.5
The AASHTO Code (1997 and 1998) specifies many more resistance factors than is provided by CHBDC and
NBCC. For each class offoundation, AASHTO specifies resistance values that are to be used for different methods
of calculation and geotechnical data. For example, a different value is given if the geotechnical data is based on
Standard Penetration Testing (SPT), Pieco-cone Penetration Testing (CPT), or laboratory testing. As a result, the
number of specified resistance factors in the AASHTO Code exceeds that of CHBDC by more than an order of
magnitude.
. ....
140 Canadian Foundation Engineering Manual
Although there is a merit in what the AASHTO Code has done, the approach for both the CHBDC and NBCC was
to keep the process simple, at least during the initial stages of transition between working stress design and limit
states design. For the NBCC and CHBDC, it was felt that it is more important that the fundamental principles of
limit states design for foundations be conveyed to and understood by geotechnical practitioners, as well as structural
engineers designing the foundations. The initial transition should be as gradual and smooth as possible. Providing
a myriad of partial factors that cover a large range of methods used in practice may not be conducive to better
understanding and acceptance of the design method by geotechnical engineers, who are accustomed to using only a
few values of global factor of safety. Refinements and level of sophistication and details can come later when more
experience with limit states design for foundations has been gained. In addition, the existing geotechnical database
in terms of bias factor, coefficient of variation and other statistical parameters need to be further developed and
better understood before levels of refinement such as those included in AASHTO can be reliably developed for
Canadian codes.
8.7 Terminology and Calculation Examples
The various codes tend to use slightly different terminology for LSD design values. When designing based on a
given code, the geotechnical engineer needs to be cognizant of the specific terms and definitions that are specified
by that code. For example, the NBCC Commentary L Foundations (2005) uses the following terms for expressing
recommended geotechnical criteria for the design of the building structure, including its foundations.
Bearing pressure for settlement means the bearing pressure beyond which the specified serviceability criteria are
no longer satisfied.
Factored bearing resistance means the calculated ultimate (nominal) bearing resistance, obtained using characteristic
ground parameters, multiplied by the recommended geotechnical resistance factor.
Factored sliding resistance means the calculated ultimate (nominal) sliding resistance, obtained using characteristic
ground parameters, multiplied by the recommended geotechnical resistance factor.
Factoredpull out resistance (i.e., against uplift) means the calculated ultimate (nominal) pull out resistance, obtained
using characteristic ground parameters, multiplied by the recommended geotechnical resistance factor.
CHBDC (2000) uses the following definitions.
Factored Geotechnical Resistance at ULS the product of the geotechnical resistance factor and the geotechnical
ultimate (nominal) soil or rock resistance.
Geotechnical Reaction at SLS the reaction of the soil or rock at the deformation associated with a SLS
condition.
Geotechnical Resistance at ULS - the geotechnical ultimate resistance of soil or rock corresponding to a failure
mechanism (limit state) predicted from theoretical analysis using unfactored geotechnical parameters obtained from
test or estimated from assessed values.
8.7.1 Calculation Examples
The following two examples demonstrate the simple calculation ofdesign values for factored geotechnical resistance
atULS.
The basic equation for factored geotechnical resistance is <D R where <D is the geotechnical resistance factor and R
n n
is the ultimate (nominal) geotechnical resistance.
8.8
Limit States and Limit States Design 141
Shallow Foundation
An ultimate bearing capacity of 800 kPa has been calculated using the classical bearing capacity equation. For
LRFD, the factored bearing resistance at ULS is 400 kPa (Le., 0.5 x 800, where cD = 0.5 from Table 8.1).
Deep Foundation
A static pile load test has shown an ultimate axial capacity of 2,500 kN. The factored axial geotechnical resistance
at ULS is 1,500 kN (i.e., 0.6 x 2,500, where cD = 0.6 from Table 8.1).
Working Stress Design and Global Factors of Safety
Working stress design (WSD) was one of the first rational design methods used in civil engineering. It has been the
traditional design basis since it was first introduced in the early 1800's. WSD is also referred to as allowable stress
or permissible stress design. The basis of the design is to ensure that throughout the structure, when it is SUbjected
to the working or service applied load, the induced stresses are less than the allowable stresses. A single, global
factor of safety is used, which collectively considers or lumps all uncertainty associated with the design process
into a single value, with no distinction made as to whether it is applied to material strength and resistances or to
load effects.
The assessment of the level of safety of the structure is made on the basis of global factors of safety, that were
developed from previous experience with similar structures in similar environments or under similar conditions.
The values of the global factor of safety selected for design reflect past experience and the consequence of failure.
The more serious the consequence of failure or the higher the uncertainty, the higher the global factor of safety.
Similar values of global factor of safety became customary for geotechnical design throughout the world. The
ranges of customary global factors of safety are shown in Table 8.3.
TABLE 8.3 Ranges ofGlobal Factor ofSafety Commonly Usedfor Foundation Design
Failure Type Item Factor of Safety, FS
Shearing Earthworks 1.3 to 1.5
Earth retaining structures, excavations 1.5 to 2
Foundations 2 t03
Seepage Uplift heave 1.5 to 2
Exit gradient, piping 2 to 3
Ultimate pile Load tests 1.5 to 2.0
Loads Dynamic formulae 3
Note: Data after Terzaghi and Peck (1948, 1967).
A global factor of safety represents a relationship between allowable and applied Although this concept
is simple and useful, it is also accompanied by difficulties and ambiguity. Problems arise when factors of safety are
used without first defining them and understanding why they were introduced. A single global factor ofsafety would
have unambiguous meaning if carefully prescribed standard procedures for selecting capacity, for defining loads,
and for carrying out the analysis or calculations were always used in design. However, these steps are usually not
well defined, or followed uniformly or consistently by all geotechnical engineers. In practice, different engineers
will use different approaches and select different values of strength for design, even for the same site. For example,
some engineers may use a mean value for strength, while others will use a much more conservative value such as
minimum or lower bound values in measured strength. Therefore, for the same numerical value of global safety
factor, the actual margin of safety can be very different. Further, the value of the global factor of safety tells us very
little quantitatively as to the possibility or probability of failure.
....
142 Canadian Foundation Engineering Manual
1
a
The global factor of safety (FS) can be defined in many ways. The traditional FS is defined as the ratio of ultimate
1
resistance (R) to the applied load (SJ
,
(8.3)
For FS = 1, a limiting condition theoretically exists where the resistance equals the load effects (i.e., a state of
failure).
The limitations of WSD and the use of a single global factor of safety have been discussed by Green (1989) and
Becker (1996a). Despite all its apparent limitations, the global FS and WSD approach is a simple approach that has
I'
worked well in geotechnical engineering design. WSD has been the traditional design method for over 100 years.
I
Consequently, an extensive database and experience have been assimilated over the years towards the development
of good engineering practice. Improvements and refinements have been incorporated as the need arises. It would be
foolish and inconceivable to ignore this substantial database and experience gained in WSD. It is noted that despite
the shortcomings ofWSD, the development oflimit states design (in some codes using partial factors) has utilized
the WSD experience for calibration purposes to produce designs with comparable levels of safety as those existing
in previous design codes based on WSD.
Figure 8.3 shows the relationship between global safety factor, resistance factor and reliability index based on
statistical assumptions for variability in bearing resistance (coefficient of variation equal to 0.3 and a ratio of mean
to nominal value of 1.1) typical for shallow and deep foundations. An advantage of Figure 8.3 is that the reliability I
index may be more readily appreciated by geotechnical engineers who have considerable experience in using the
!
1
traditional values of global safety factor. This may assist in bridging the gap, during the transitional stage, between
1
the use of working stress design and limit states design.
I
J
'-
"-
"-
..... ,'
j ~ ......,.,
/
I
'--1 RESISTANCE FACTOR i
I J
I
I I
I I
BEARING
RESISTANCE
kR
1.1,
V
R
'" 0.3
j
......
.........
I
I
I
!
I
I
I
--!
I
I
RELIABILITY INDEX
~
\ ..-""
,
1 \ ~
~ I
/1
I I
I I
I
1.0
I
0.9
oS<
I
0.8 ~
I
0.7 ()
[f
0.6 tj
~
0.5 ~
!ii!
0.4
0.3
0.2
=6
G:i 5
a
~ 4
5
~ 3
21
2
o
1.5 2.0 2.5 3.0 3.5 4.0
SAFETY FACTOR, FS
FIGURE 8.3 Relationship between FS, <1>, and for bearing capacity kR = 1.1, V = 0.3 (from Becker, 1996b).
R
9
Bearing Pressure on Rock 143
Bearing Pressure on Rock
Bearing Pressure on Rock
9.1 Introduction
Rock is usually recognized as the best foundation materiaL Generally, bearing capacity failure and factored bearing
resistance at ultimate limit states are rarely an issue for sound, intact rockmasses. However, design engineers should
be aware of the dangers associated with unfavourable rock conditions, since overstressing a rock foundation may
result in large settlement or sudden failure. Such failure may be due to either deformation or failure of intact, weak
rock or due to sliding failure along unfavourably oriented structural planes of weakness. A foundation on rock
should. be designed with the same care as a foundation on soil.
Failure of rock foundations may occur as the result of one of several mechanisms as shown in Figure 9.1 (from
Franklin and Dusseault, 1989). The failure modes are described as:
• Bearing capacity failures, which occur when soil foundations are overloaded (Figures 9.la and b), are
uncommon in rock. However, such failures may occur beneath heavily loaded footings on weak clay
shales.
Consolidation failures are quite common in weathered rocks were the footing is placed within the weathered
profile (Figures 9.lc and e). In this case, unweathered rock corestones are pushed downward under the
footing load, because of a combination of low shear strength along clay-coated lateral joints and voids or
compressible fillings in the horizontal joints.
A punching failure (Figure 9.ld) may occur where the foundation comprises a porous rock type, such as
shale, tuff and porous limestones (chalk). The mechanism comprises a combination of elastic distortion
of the solid framework between the voids and the crushing of the rock where it is locally highly stressed
(Sowers and Sowers, 1970). Following such a failure, the grains are in much closer contact. Continued
leaching and weathering will weaken these rock types, resulting in further consolidation with time.
• Slope failure may be induced by foundation loading of the ground surface adjacent to a depression or slope
(Figure 9.1f). In this case, the stress induced by the foundation is sufficient to overcome the strength of the
slope material.
• Subsidence of the ground surface may result from collapse of strata undercut by sub-surface voids. Such
voids may be natural or mining induced. Natural voids can be formed by solution weathering of gypsum
or rocksalt and are commonly encountered in limestone terrain (Figure 9.1g). When weathering is focused
along intersecting vertical joints, a chimney-like opening called a pipe will form, which may extend from
the base of the soil overburden to a depth ofmany tens of meters. When pipes are covered by granular soils,
the finer silt and sand components can wash downward into the pipes, leaving a metastable arch of coarse
sand and gravel which may subsequently collapse (Figure 9.1h).
144 Canadian Foundation Engineering Manual
c
FIGURE 9.1 Mechanisms offoundation failure (from Franklin and Dusseault, 1989; adapted from Sowers,
1976): a) Prandtl-type shearing in weak rock; b) shearing with superimposed brittle crust; c) compression of
weathered joints; d) compression and punching ofporous rock underlying a rigid crust; e) breaking ofpinnacles
from a weathered rock surface;.f) slope failure caused by superimposed loading; g) collapse ofa shallow cave;
and h) sinkhole caused by soil erosion into solution cavities
The methods proposed in this Manual for the determination of design bearing pressure on rock are suitable for
various ranges of rock quality. The design bearing pressure is generally for serviceability limit states for settlements
not exceeding 25 mm. The bearing pressure assessment is for relatively sound rock not subject to the special
conditions shown in Figures 9.1 b through h. Guidance on the applicability of the proposed methods is provided in
Table 9.1.
9.2
Bearing Pressure on Rock 145
TABLE 9.1 Applicability 0/Methods/or the Determination a/Design Bearing Pressure on
Rock depending upon Rockmass Quality
Rockmass Quality Basis of Design Method
Sound rock
Rockmass with wide or very wide discontinuity
spacing
Core strength (see Section 9.2)
Rockmass with closed discontinuities at moderately
close, wide and very wide spacing
.
Core strength (see SectIOn 9.2)
Pressuremeter
Low to very low strength rock
Rockmass with close or very closely spaced
discontinuities
Very low strength rock
Rockmass with very closely spaced discontinuities
Soil mechanics approach
Note: Italicised tetIns are defined in Section 3.2. Preliminary estimates are provided in Table 9.3 and Section 9.3.
In all cases, field tests may also be used to assess the capacity and load-deformation characteristics ofthe rockmass,
as discussed in Chapter 4.
Foundations on Sound Rock
For the purpose of this section, a rock mass is considered sound when the spacing of discontinuities is in excess of
O.3m.
. .
When the rock is sound, the strength of the rock foundation is commonly in excess of the design requirements,
provided the discontinuities are closed and are favorably oriented with respect to the applied forces. Geotechnical
investigations should, therefore, concentrate on the following foundation aspects:
• identification and mapping of all discontinuities in the rock mass within the zone of influence of the
foundation, including the determination of the aperture of discontinuities;
• evaluation ofthe mechanical properties ofthese discontinuities, such as frictional resistance, compressibility,
and strength offilling material; and
identification and evaluation of the strength of the intact rock material.
Such investigations should be carried out by a person competent in this work, and following the guidelines set out
in Chapters 3 and 4.
The final determination of the design bearing pressure on rock may be governed by the results of the analysis of
the influence of the discontinuities on the behaviour of the foundation. As a guideline, in the case of a rock mass
with favourable characteristics (e.g., the rock surface is perpendicular to the foundation, the load has no tangential
component, the rock mass has no open discontinuities), the design bearing pressure may be estimated from the
following approximate relation:
q -K xq (9.1)
a sp u-core
,
146 Canadian Foundation Engineering Manual
where
designbearingpressure
average compressivestrengthofrock(asdetemlinedfromASTMD2938).
anempiricalcoefficient,whichincludesa factor ofsafetyof3 (intermsofworkingstress design)
andrangesfrom0.1 to0.4(seeTable9.2andFigure9.2).
TABLE 9.2 Coefficients ofDiscontinuity Spacing, Ksp
Description
Moderatelyclose
Wide
Verywide
0.3 to 1
lto3
>3
0.1
0.25
0.4
Thefactors influencingthemagnitudeofthecoefficientareshowngraphicallyinFigure9.2.Therelationshipgiven
inthefigureisvalidforarockmasswithspacingof discontinuitiesgreaterthan300mm,apertureofdiscontinuities
lessthan5rnm(orlessthan25rnm, iffilledwithsoilorrockdebris),andfor afoundationwidthgreaterthan300
mIn. Forsedimentaryrocks,thestratamustbehorizontalornearlyso.
oL----l._....L.._...I-_I..---'-_-L-_...l-_I..---'-_....
00.2 0.<I 0.6 0.S 1.0 1.2 1.4 1.6 1.8 2.0
RA TIO ell?
,
I;
FIGURE 9.2: Bearing pressure coefficient Ksp
Thebearing-pressure coefficient, K
sp
' as givenin Figure 9.2, takes into account the size effectand thepresence
ofdiscontinuities andincludes a nominal safetyfactor of3 againstthe lower-bound bearingcapacityofthe rock
foundation. Thefactorof safetyagainstgeneralbearingfailure(ultimatelimitstates)maybeuptotentimeshigher.
Foramoredetailedexplanation, seeLadanyietal. (1974). FranklinandGruspier(1983)discussaspecialcaseof
foundations onshale.
I:
':
, ;'-
J
I
9.3
Bearing Pressure on Rock 147
Estimates of Bearing Pressure
Universally applicable values of design bearing pressure cannot be given. The design bearing pressure is generally
for serviceability limit states for settlement not exceeding 25 mm, or by the settlement criteria, as described in
Chapter 11. Nevertheless, it is often useful to estimate a bearing pressure for preliminary design on the basis of the
material description. Such values must be verified or treated with caution for final design. Table 9.3 gives presumed
preliminary design bearing pressure for different types of soils and rocks.
TABLE 9.3 Presumed Preliminary DeSign Bearing Pressure
Preliminary
Types and Conditions of Rocks and Strength of Rock
Remarks Design Bearing
Soils Material
Pressure (kPa)
9.4
148 Canadian Foundation Engineering Manual
Fine-
grained
soil
Organic
Soils
Fill
Notes:
TABLE 9.3 Presumed Preliminary Design Bearing Pressure (continued)
Types And Conditions Of
Rocks And Soils
Very stiff to hard clays or
heterogeneous mixtures such as till
Stiff clays
Firm clays
Soft clays and silts
Very soft clays and silts
Peat and organic soils
Fill
Strength Of Rock
Material
Preliminary
Design Bearing
Pressure (kPa)
300-600
150-300
75-150
<75
not applicable
Not applicable
Not applicable
Remarks
Fine-grained soils are
susceptible to long-term
consolidation settlement
due to imposed loads
and are often susceptible
to severe swelling or
shrinking due to changed
moisture conditions. If
I
the Plasticity Index (I )
p
exceeds 30 and the clay
content exceeds 25 %, the
I
long-term performance
of the foundation may
be significantly affected
by swelling or shrinking
ofthe subsoils, and a
complete assessment
of these possibilities is
necessary as discussed in
Chapter 15
1. The above values for sedimentary or foliated rocks apply where the strata or the foliation are level or nearly
so, and, then, only if the area has ample lateral support. Tilted strata and their relation to nearby slopes or
excavations should be assessed by a person knowledgeable in this field of work.
2. Sound rock conditions allow minor cracks at spacing not closer than 1 m.
3. To be assessed by examination in-situ, including test loading if necessary.
4. These rocks are apt to swell on release of stress, and on exposure to water they are apt to soften and swell.
5. The above values are preliminary estimates only and may need to be adjusted upwards or downwards in a
specific case. No consideration has been made for the depth of embedment of the foundation. Reference should
be made to other parts of the Manual when using this table.
Foundations on Weak Rock
Conditions are frequently encountered where the rock material is very weak, has very closely spaced discontinuities,
or is heavily weathered or fragmented. It is common practice in such cases to consider the rock as a soil mass and to
design the foundation on the basis of conventional soil mechanics. However, the strength parameters necessary for
such a design are difficult to evaluate. For more details on the estimation of strength and deformation parameters of
rock masses, see the discussion in Chapter 3. Additional detail may also be found in Barton et al. (1974), Bieniawski
(1976), and Hoek and Brown (1980). Table 9.3 provides suggestions for preliminary estimates.
]
j
"
i
9.6
Bearing Pressure on Rock 149
Special Cases
Bearing Capacity of Jointed and Layered Rockmasses
. for a foundation onrockthat isjointedis dependent onthejointspacing andaperture, theareato be
desIgn .h t h . . h ...
d the location ofthe load WIt respect 0 t eJomts. T esecharactenstlcs dIctate whetherthe rockwill
'c. c" '. allompression unconfined compression, or splitting. Where a weak compressible layer is present in the
undergo C' . . . . . •
,. d t' nrockmass,thehardrocklayercanfallmflexureorpunchmg.IftheratIO ofthethIcknessof thehardrock
•
,
foun a 10
thewidthofthefoun
d"
atIOn IS sma,
11 th
en
th
eroc
k
WIle
'111'k I
ylailbypunchmg.
J::'
Iftheratiois large,andthe
layerto . h k '11 J:: '1 b fl . .
: I trengthoftherockIS small,t e roc WI lal y exure. ThIS analYSIS can alsobeusedfor designs with
.:.flexur
a
s .
i' :hardrocklayers overvOIds.
v,:
:;i; , . gcapacitycalculationsfor thisrangeofconditions areproposedbyLo andHefny(2001) andbytheASCE
. Bearm 'b'I' 'd'
';,;.(1996).Thedesignbearingpressure
J::
lorservlcea ,I consl eratIOns can takenas theultimatebearing
. '. ill .d dby the factor ofsafety. Generally, the mmimum factor ofsafety IS 3 for a structure load compnsmg the
. d:adloadandfull live load. Forfactored bearingresistance atultimate limitstates,theultimate
bearingcapacityismultipliedbythegeotechmcalreSIstancefactorof0.5 as perTables 8.1 and8.2(Chapter8).
Foundations on Karstic Formations
,9.5.2
. Sinkholes are oftenthe cause of onkarstic for:mations. These cavities, causedbythe chemical
. actionbetweenlimestoneandaCIdIc water, are trregular and dlfficultto predict. Sinkholes maydevelop at any
:me;therefore,investigationsarenecessarythroughoutthelifeof thestructure.
Sinkholes canbedetectedusinga numberofgeophysicaltechniques, including ground-penetratingradar(GPR),
electromagnetic conductivity measurements (EM), and by drilling core samples. Sinkhole remediation can be
performedby: concrete undergroundbr.idging;.loadeccentricity; replacementofcollapsedmaterial
withconcrete.FormoremformatlOnonthedetectIOnof sInkholesandremedIalmeasures,seeWyllie(1992).
Differential Settlement
Differential settlement occurs when adjacent footings are SUbjected to unequal settlements. Settlement (0) for
footings onelasticmediumcanbecalculatedbythefollowing equationfromLoandCooke(1989):
(9.2)
where
influencefactorfortheshapeofthefoundation
C
==
s
appliedpressure
q
widthofthefooting
B
=
v
Poisson'sratio
elasticmodulus
E
Maximumdifferentialsettlementshouldbecalculatedandtestedforduringdesignstagesto avoidredesignofthe
footings. Settlementinrockwithseams orfaults canbeestimatedbyplateloadtestingasdiscussedinChapter4.
150 Canadian Foundation Engineering Manual
Bearing Capacity of Shallow
Foundations on Soil
10 Bearing Capacity of Shallow Foundations on Soil
10.1 Introduction
One possible ultimate limit state of a shallow foundation involves the case where the applied loads exceed the
resistance ofthe ground beneath the foundation. The geotechnical resistance at this ultimate limit state is termed the
ultimate bearing capacity of the ground that supports the foundation. The ultimate bearing capacity depends on the
strength of the ground, ground conditions (e.g., thickness and presence of weak layers, depth to bedrock), and the
nature of applied loading (e.g., vertical, horizontal and inclined forces; moments). Methods to estimate the ultimate
bearing capacity of shallow foundations on fine- and coarse-grained soils are presented in this Chapter. Other
possible ultimate limit states for shallow foundations may include sliding, overturning and general slope stability
and their influence on foundation design need to be assessed for each individual project. The serviceability limit
state of the foundation is considered separately from the ultimate limit state, as presented in Chapter 11. Shallow
foundations are those constructed on or embedded near the ground surface such that the distance from the ground
surface to the underside of the foundation is not greater than the width (or least plan dimension) of the foundation.
10.2 Conventional Bearing Capacity
·10.2.1 Bearing Capacity Equation
The ultimate bearing capacity (i.e. the geotechnical bearing resistance at the ultimate limit state) of a shallow
foundation on uniform soil as shown in Figure 10.1 with shear strength parameters c and <P may be calculated
from:
(10.1)
where:
qu
ultimate bearing capacity (denoted as Rn in limit states design-see Section 8.4),
Ne' Nql Ny
dimensionless bearing capacity factors (see 10.2.3),
Se' Sq'Sy dimensionless modification factors for foundation shape, inclination, depth and tilt and ground
slope (see 10.2.4),
vertical stress acting at the elevation of the base offoundation (see 10.2.2),
width of foundation or least plan dimension of the foundation,
soil cohesion (see 10.2.2),
y soil unit weight (see 10.2.6).
Unless otherwise noted, any consistent set of units may be used for the parameters in Equation 10.1.
Equation 10.1 expresses the ultimate bearing capacity of a foundation experiencing general shear failure as the sum
of: the shear resistance of a weightless material with cohesive strength parameter c (Nc term), the shear resistance
c
Bearing Capacity of Shallow Foundations on Soil 151
of a frictional but weightless material with angle of friction $' on addition of a surcharge qs at the foundation level
(N term), and the shear resistance of a frictional material with angle of friction and weight y but no surcharge
q
(Ny term).
Shear strength parameters c and $' are normally selected within depth B beneath the base of the foundation.
Ground
surface
+z 01
1..J
1
*id!di1u.t*IBI. I qs
... '" " __ .... t ..t..t..t.""..
Ground .lZ.
t( B )I
water
level
Uniform ground
with c, ¢, r
FIGURE 10.1 Definition ofgeometry andparameters for ultimate bearing capacity ofa shallow foundation
10.2.2. Undrained and Drained Conditions
The values of c and $' for use in the general bearing capacity equation (Equation 10.1) depend on the type of soil
and whether short-term (undrained) or long-term (drained) conditions are being examined. The short-term stability
of a foundation involving fine-grained soils can be calculated by taking c equal to the undrained shear strength, s u '
and $ O. The long-term stability of a foundation can be obtained with c equal to the effective cohesion intercept,
c/, and $' equal to the effective angle of internal friction of the soil, $'. In most cases, short-term stability controls
design, especially for soft to very ,stiff clays.
The surcharge qs for use in the general bearing capacity also depends on whether undrained or drained conditions are
being considered. For undrained conditions qs is the total vertical stress acting adjacent to the base ofthe foundation;
whereas, for drained conditions it is equal to the vertical effective stress and consequently will be influenced by the
position of the groundwater level (see Section 10.2.6).
10.2.3 Bearing Capacity Factors
Bearing capacity factors have been derived based on modified plasticity solutions for uniform ground conditions.
Bearing capacity factors Nc and N have been reported by Meyerhof (1963), Hansen (1970) and Vesic (1975) to be
q
equal to:
Nc (N
q
- 1) cot$ (10.2)
2
N
q
= tan ( 45°+
(10.3)
Several formulations of the bearing capacity factor Ny are available (Terzaghi, 1943; Meyerhof, 1963; Hansen,
1970; Vesic, 1975) but tend to overestimate N when compared with the more rigorous plasticity solution of Davis
r
and Booker (1971). An approximate value of N suitable for $' > 10
0
obtained from Davis and Booker (1971) is:
r
N = (lOA)
y
for a smooth interface between the foundation and the ground, while for a rough interface it equals:
N
y
=0.0663e°.l
623
$ (l0.5)
where <i> is in degrees.
--
152 Canadian Foundation Engineering Manual
For the case of undrained stability (c su' 4>' = 0) the bearing capacity factors become:
N
c
= (2 + n) (10.6)
N = 1 and (10.7)
q
N
)'
0 ( 10.8)
Bearing capacity factors N ' N , and Ny for uniform ground conditions are presented in Table 10.1 and plotted in
c q
Figure 10.2.
TABLE 10.1 Bearing capacity factors Nc and N
q
from Meyerhof(1963) and Ny from Davis and Booker (1971)
2.5
11 3.9
N" rough
N smooth
I )'
0 0
0.3
1.3 0.8
20 15 1.7
21
6.4 3.0
16 7.1 3.6 2.0
22 17 7.8 4.2 2.4
23 8.7 2.8
24
18
19 9.6 3.3
11 3.8
26 22 12 4.5
27
8.2
24 13 9.7 5.3
28 26 15 6.2
29
11
16 28. 14 7.3
30 18 30 16 8.6
31 21 33 19 10
32 23 22 35 12
33 26 27 14
34
39
42 29 31 17
35 46 33 37 19
36 38 51 44 23
37 43 56 52 27
38 61 49 61 32
68 56 73 37
75 64 44 86
Sma1l (2001) and Poulos et al. (2001) present useful summaries ofbearing capacity factors for soils with an increase
in strength with depth, finite depth, fissured clays, layered soils, and foundations near slopes.
Bearing Capacity of Shallow Foundations on Soil 153
100 100
80 80
2:
"'0 60 60
c
CO
0-
2:
Q
40 40
2:
20 20
0 0
0 10 20 30 40 0 10 20 30 40
rp' (degrees) rp' (degrees)
FIGURE 10.2 Bearing capacity factors Nc and Nqfrom Meyerhof(1963) and N/rom Davis and Booker (1971)
10.2.4 Modification Factors
The bearing capacity factors were derived for the case of strip footing on a level base subjected to loading
perpendicular to the foundation. Deviations from these conditions can be accounted for, where appropriate, by
factors to modify the bearing capacity factors for the effects of foundation shape (S os' SqS and Sf )' load inclination
S
(s ., S . and S .), foundation depth (S d' S dand S d)' surface slope (S P' S Pand S p)and foundation tilt (S 15' S rand S,)
c, ql yl C q Y c q Y c qu 7u
via:
(10.9)
(10.10)
(10.11)
where expressions for the various modification factors are given in Table 10.2 based on Vesic (1975).
TABLE 10.2 Modification Factors for General Bearing Capacity Equation (based on Vesic, 1975)
I
Factor Sc Sq Sy
I
B'N 'B' B'
Scs
=l+--q
Foundation shape, s S = 1-0.4- Sqs=l+ L,tan¢
Y-I' L' L' Nc
mH
Inclined loading, i [1] ¢=O, SCI
1-
B'L'cNc
[ H r+!
S - I-
Sql
(1- V + B,Zccot¢r Ii - V + B'L'ccot¢
I . Sq;
¢> 0, Sci = Sq;
Netan¢
¢=O,
Sed
1 + OAk Foundation depth, d[2)
Syd 1 Sqd = 1+2tan¢(l sin¢Yk
I-S
qd
¢> 0, S =S -
cd qd Ne tan¢
154 Canadian Foundation Engineering Manual
TABLE 10.2 Modification Factorsfor General Bearing Capacity Equation
(based on Vesic, 1975) (continued)
S =l_L I
Surface slope, p[3]
cfJ tr + 2
SyfJ '" (1- tanp)" [4]
S - S _ 1 - SqfJ \'
cfJ- qfJ Nctan¢ ,
¢ =0, S Base inclination, 8[5J
cD tr + 2
[1] V = vertical force; H horizontal force; m depends on direction of inclined loading 8 relative to long side of
the foundation: If force inclined in B direction m m
B
= (2+BIL)/(l +BIL), if inclined in L direction
(8=0°) m = =(2+LlB)I(1+LlB), and if inclined at angle 8 to L direction m=me = mLcos
2
8 + m
B
sin
1
8. m
L
[2] k DIB if DIB'S:l; k=tan·1(DIB) if DIB >1.
[3] p= inclination below horizontal ofthe ground surface away from the edge ofthe foundation (see Figure lOA);
for p< 11:/4; Pin radians.
[4] For sloping ground case where 0 N = -2sin,B must be used in bearing capacity equation.
Y
[5] b= inclination from the horizontal ofthe underside ofthe foundation (see Figure lOA); for b < n:l4; b in radians.
H ..+"- "-
Df-
2 2
FIGURE 10.4 Definition ofparameters for shallow foundation with ground slope pand base tilt b
10.2.5 Eccentric Forces and Moments
If the foundation is subjected to vertical forces that act eccentric to the centroid of the foundation, the size of the
foundation used in the bearing capacity equation should be reduced:
B' =B 2e
B
(10.12)
l' = B -2e (10.13)
L
where
B,L actual foundation dimensions,
B',L' reduced dimensions for use in bearing capacity equation, and
e
B
, e
L
eccentricities of force in directions Band L from the centroid.
This is an approximate but reasonable approach to account for eccentricities provided that the resultant loading acts
within the middle third of the foundation (i.e. e < B/6). Values ofB' and L' are to be used in all bearing capacity
calculations. The term k for depth modification factors S d and S and the term m for load inclination factors S ., S .
c qu'
J'>
Cl ql
and S . as shown in Table 10.2 remain in terms of Land B.
Y'
Foundations that are subject to moments MB and ML in the Band L directions and vertical load V acting through
the centroid can be treated as an equivalent loading system with vertical load V acting at eccentricities e and e as
B L
shown in Figure 10.3.
Bearing Capacity of Shallow Foundations on Soil 155
ML ~
~
,
IE
L
)1
~ B ~
,
,
(b)
.
:
I
~ e L
:
dit
IE--L'----7Iot IE-B "--'"
ML Me
e
L
=- eB=-
V V
FIGURE 10.3 Shallow foundation subjected to moments and vertical force
10.2.6 Influence of Groundwater
The position of the groundwater level will influence the selection of Y and qs for use in the general bearing capacity
equation when considering drained conditions as summarized in Table 10.3.
TABLE 10.3 Unit Weight and Surcharge for Drained Conditions in the General Bearing Capacity
Equation depending on Depthfrom Surface to the Groundwater Level z (as defined in Figure 10.1).
The foundation is located at depth D beneath the ground surface
Depth from surface of groundwater level
Iz:=O
Unit weight l' for N, term
I
, Ysub
Surcharge term 'I,
YslIbD
l:.:.D
Y
sllb Ybu/kD
D<z<D+B
z-D& )
Ysub + ~ bulk -Ysub
Ybl/lkD
z>D+B
Y
bll1k Ybu1kD
The bulk unit weight Y
bu1k
should be selected based on the minimum water content of the soil above the water table.
Effective stresses can be introduced into the N term by using the submerged unit weight Y b' which is equal to:
. r •
(10.14)
where
Y is the saturated unit weight and Y is the unit weight of water. w
Sal
In all cases in Table 10.3, qs is the vertical effective stress adjacent to the foundation at its base.
10.3 Bearing Capacity Directly from In-Situ Testing
10.3.1 Standard Penetration Test (SPT)
There is no direct relationship between standard penetration test (SPT) resistance N and the ultimate bearing
156 Canadian Foundation Engineering Manual
capacity. Shear strength parameters for use in the general bearing capacity equation can be estimated from empirical
correlations with SPT-N (e.g., Hatanaka and Uchida, 1996; Terzaghi et al., 1996). Empirical design charts relating
the design bearing pressure for foundations on sand to SPT -N are available; however, since these are also based on
limiting settlement of the foundation they are presented in Section 11.8.1. Such empirical correlations need to be
treated with caution and adjusted as appropriate by experience.
10.3.2 Cone Penetration Test (CPT)
Shear strength parameters for use in the general bearing capacity equation can be estimated from empirical
correlations with cone penetration test (CPT) results(e.g., Lunne et ai., 1997). Empirical methods are also available
to estimate the ultimate bearing capacity directly from CPT tip resistance qc'
For coarse-grained soils:
(10.15)
where
K$ = empirical factor relating ultimate bearing capacity and average CPT tip resistance for coarse-grained
soils, and
qc = average tip resistance over a depth B beneath the foundation.
Values of Kq, depend on soil density and foundation shape and range between 0.16 to 0.3 (Lunne et al., 1997). A
value of ~ = 0.16 can be used for most cases, recognizing that limiting settlement will generally control foundation
design.
For fine grained soils and undrained conditions:
(10.16)
where
K = empirical factor relating ultimate bearing capacity and average CPT tip resistance for fine-grained
su
soils, and
all other parameters are as previously defined. Factor Ksu ranges from 0.3 to 0.6 depending on foundation shape and
embedment, and soil stress history and sensitivity. A value ofKsu 0.3 can be conservatively used for most cases.
These empirical correlations need to be treated with caution and adjusted where appropriate based on experience.
10.3.3 Pressuremeter and Dilatometer Tests
In-situ tests such as the pressuremeter test (PMT) and flat dilatometer test (DMT) can be used to obtain shear strength
parameters for use in the general bearing capacity equation (e.g., Lunne et ai., 1989; Marchetti et aI., 2001).
10.3.4 Plate Load Test
A plate load test, if loaded to failure, can be used to assess the ultimate bearing capacity. In this test a reduced-scale
foundation is subjected to load and the deflection is recorded. The plate load test involves the actual ground material
beneath the foundation and can be useful to obtain soil parameters and to verify the method of analysis. The general
bearing capacity equation can be used to interpret results if ground conditions are homogeneous with depth. Scale
effects are important as the results will depend on the size of the reduced-scale foundation relative to the underlying
sequence of soil strata. Appropriate engineering judgment must be exercised prior to any extrapolation to larger
foundations. An additional disadvantage is the costs required to conduct the tests. As a result, plate load tests may
only be appropriate for medium to higher risk projects. The plate load test is also useful in the evaluation of ground
Bearing Capacity of Shallow Foundations on Soil 157
stiffness (e.g., see Sections 7.7.1 and 11.7)
10.4 Factored Geotechnical Bearing Resistance at Ultimate Limit States
Geotechnical resistance at the ultimate limit state is reduced (multiplied by the appropriate geotechnical resistance
factor (see Tables 8.1 and 8.2 in Chapter 8) to provide the factored geotechnical bearing resistance for foundation
design.
10.4.1 Net Ultimate Bearing Pressure
The ultimate bearing capacity qu is the total stress that can be applied at foundation level. If an excavation is made
for the foundation, stresses in excess of the original overburden stress at the foundation level contribute to bearing
failure. The net bearing capacity is defined as:
(10.17)
where
q
netu
net bearing capacity,
qu ultimate bearing capacity, and
q
ob
total overburden stress removed at foundation level.
There is no possibility of bearing failure if the applied load at the foundation level is equal to that of the excavated
soil. This is the basis for the design of what is termed full-compensated (or floating) foundations.
10.4.2 Allowable Bearing Capacity
In a working stress design (WSD) approach (see Chapter 8) all uncertainty is accounted for in one parameter called
the global factor of safety against ultimate bearing capacity FS. The allowable bearing capacity, ~ I I that can be
applied at the foundation level is:
(l0.18)
The value of FS against ultimate bearing capacity of a shallow foundation is normally taken equal to 3 (see Section
8.8 in Chapter 8).
For shallow foundations on the ground surface or neglecting the effect of the excavated ground, the allowable
bearing pressure becomes:
(10.19)
10.4.3 Factored Geotechnical Bearing Resistance
Using the load and resistance factor design (LRFD) approach (see Chapter 8), uncertainty in loads acting on the
foundation and the resistance of the foundation are treated separately. Loads acting on the foundation are increased
using appropriate factors for live and dead loads, while the geotechnical resistance is decreased using a geotechnical
resistance factor <P.
For the bearing resistance of shallow foundations the geotechnical resistance factor <P may be taken to be 0.5 (see
Tables 8.1 and 8.2 in Chapter 8).
158 Canadian Foundation Engineering Manual
Settlement of Shallow Foundations
11 Settlement of Shallow Foundations
11.1 Introduction
The settlement of a foundation must be within tolerable or acceptable limits to satisfy the specified serviceability
limit states criteria (see Chapter 8) for a given project. Methods to estimate the possible magnitude of ground
settlement, the rate of settlement and the maximum allowable settlement are presented in this Chapter.
The settlement of shallow foundations depends on the magnitude of the applied forces, geometry ofthe foundation,
type of ground conditions, ground stiffness and in some cases ground strength.
The rate of settlement depends on the rate of loading relative to the rate of excess pore pressure dissipation. For
saturated soils, if the rate of loading exceeds the rate of dissipation, pore pressures in excess of steady-state values
will be generated. Settlement of the foundation will then increase with time until the excess pore pressures are
dissipated. Thereafter, creep settlement can continue with time. Soil type, permeability, drainage conditions and
magnitude ofloads influence how quickly excess pore pressures can dissipate.
Maximum allowable settlements (Le., the serviceability limit states criteria) largely depend on type and end use of
the structure, nature of the ground conditions and risk of the project.
11.2 Components of Deflection
Vertical deflections of a shallow foundation may arise from:
• undrained shear distortions that occur with no change in void ratio (or volume);,
drained settlements arising from change in void ratio (or volume) and shear distortions that occur from an
increase in effective stresses; and
creep settlements arising from change in void ratio (or volume) that occur at constant effective stresses.
Undrained distortions occur from shear strains when the rate of loading is fast relative to the time required for
excess pore pressures to dissipate (i.e., under conditions of undrained loading). Bince undrained distortions arise
from shear strains they occur for situations other than one-dimensional loading and become more prominent as the
size of the loaded area decreases relative to the thickness of the compressible layer. Drained settlements are time-
dependent displacements associated with primary consolidation (i.e., decrease in void ratio) of the foundation soils
as the effective stresses increase. Drained settlements may occur rapidly for coarse-grained soils (e.g., sand, gravel),
or very slowly for fine-grained soils (e.g., silt, clay). Creep settlements are time-dependent settlements associated
with secondary consolidation. Reference to the total final settlement of a foundation in the subsequent sections
neglects creep settlement. For most practical cases creep settlements may be added to the total final settlement as
discussed in Section 11.10.
Settlement of Shallow Foundations 159
Settlement of Fine-Grained Soils
11.2.1
For most foundation applications, fine-grained soils typically experience both undrained distortions and drained
settlements, and possibly secondary compression. Undrained distortions can be a sigpificant proportion of the
total settlement for overconsolidated clays, but often can be small relative to the drained settlements for normally
consolidated clays.
The total final settlement, STF' and the settlement at time t, ST!) are equal to (Davis and Poulos, 1968):
(1l.1)
(11.2)
where
Si undrained distortion
SCF = final consolidation settlement, and
U = degree of consolidation settlement.
Methods to estimate the total final settlement and undrained distortions for fine-grained soils are presented in
Sections 11.3.3, 11.3.4, and 11.4.2. The selection of appropriate parameters discussed for use in these methods
is discussed in Section 11.7. Methods to estimate the degree of consolidation settlement are presented in Section
11.11.
11.2.2 Settlement of Coarse-Grained Soils
For most foundation applications, coarse-grained soils do not experience undrained distortions since they are
sufficiently permeable to dissipate excess pore pressures rapidly, relative to the rate of applied loading. Coarse-
grained soils experience drained settlements from compression of the soil skeleton (i.e., decreases in void ratio)
for increases in effective stress. Since excess pore pressures dissipate rapidly, the settlement at time t is essentially
equal to the total final settlement STF' Coarse-grained soils may also experience creep or additional deflections from
cyclic loading.
The total final settlement of foundations on coarse-grained soils can be calculated using the elastic displacement
method described in Section 1l.3 (with the selection of appropriate parameters discussed in Section 11.7) or by
direct methods related to in-situ testing as described in Section 11.8.
11.3 Three-Dimensional Elastic Displacement Method
11.3.1 Approximating Soil Response as an Ideal Elastic Material
When subject to increases in stress by loading from foundations, soil materials exhibit nonlinear and inelastic
stress-strain response, such that increments in stress are not linearly proportional to increments in strain, and
permanent strains remain upon unloading. Additionally, the stress-strain response may be dependent on the stress
path. Estimates of settlement (serviceability limit state) are made at service loads (Le., working stresses) that are
usually well below the ultimate limit state.
F or such conditions, the issue of soil nonlinearity may be resolved by selecting secant (or average) stiffness
parameters for the appropriate stress (and/or strain) increment ofthe ground loaded by the foundation. Thus, despite
the fact that soils are not usually elastic materials, elastic displacement theory can be used to obtain estimates of
foundation settlement for most practical cases.
In elastic displacement theory the soil is treated as a saturated two phase material that is normally assumed to have a
homogeneous and isotropic elastic soil skeleton with Young's modulus E' and Poisson's ratio v' and incompressible
160 Canadian Foundation Engineering Manual
pore water (solutions exist that explicitly consider soil anisotropy e.g., Rowe and Booker, 1981 a,b). It is the
responsibility of the geotechnical engineer to evaluate these elastic parameters in the context of the true modulus of
deformation of the ground loaded by the foundation. Guidance on the selection ofYoung's modulus E and Poisson's
ratio v are provided in Sections 11.3.2 and 11.7.
11.3.2 Drained and Undrained Moduli
The total final settlement can be estimated from elastic displacement theory by using the change in effective stress
(once all excess pore pressures have dissipated) and drained modulus E' and v'. Undrained distortions can be
calculated using the change in total stresses and undrained modulus E and Poisson's ratio of v = 0.5 to satisfy the
tI u
conditions of zero volume change.
11.3.3 Three-Dimensional Elastic Strain Integration
The total final settlement and undrained distortion can be calculated by summing the vertical strains !::..s, arising from
loading on the foundation. This approach may be useful for some problems where different layers are encountered
or ground properties vary beneath the foundation. These calculations can be easily conducted using spreadsheet
computer programs.
The increase in vertical strain is related to the increase in stress using three-dimensional elasticity in x, y and z
coordinates (where z is in the vertical direction). Similar expressions can be written for polar coordinates for use
with circular foundations (e.g., see Poulos and Davis, 1974). The total final settlement can be calculated using:
(11.3)
where
!::..s
z
increment in vertical strain from the increase in effective stresses of sublayer i,
!::..a
'
!::..a
'
!::..a' increment in effective stresses in x, y and z directions of sublayer i,
x' y' z
E',v' secant drained Young's modulus and Poisson's ratio for the appropriate stress increment
and layer i,
n = number of sub layers , and
oh thickness of sub layer i.
The increment in effective stress can be found using available solutions for stress distribution with depth for the
appropriate loaded region (see Section 11.6). The number of sublayers should be selected to provide a sufficient
integration of vertical strain with depth and also to capture different ground conditions beneath the foundation.
The undrained distortion can be calculated in a similar manner using:
(11.4)
where
!::..s
z
increment in vertical strain from the increase in total stresses of sub layer i,
!::..a ' !::..a , !::..a increment in total stresses in x, y and z directions of sub layer i,
x y z
v secant undrained Young's modulus and Poisson's ratio for the appropriate stress
u
increment and layer i, and all other parameters as previously defined.
11.3.4 Elastic Displacement Solutions
Elastic displacement solutions for various foundation shapes, soil homogeneity, finite layer depth, mutlilayered
soils, foundation roughness, foundation stiffness, and drainage conditions have been provided by Poulos and Davis
where
where
_(f)
Settlement of ShallOW Foundations 161
(1974). Results from these solutions are presented in a graphical manner. This can be useful to illustrate the influence
of key parameters on foundation settlement (e.g., size of loaded area relative to the thickness of compressible
deposit). They can also provide a useful check on the results from more elaborate analyses.
Elastic displacement solutions are presented in the subsequent sections in terms ofYoung's modulus E and Poisson's
ratio v and can be used to find the total final settlement using E=E' and v=v', and the undrained distortion using
E=E and v=v =0.5.
If U
a) Flexible Strip Foundation
The settlement beneath the centre of a flexible strip foundation on the surface of a uniform layer of isotropic elastic
material of thickness h and subject to uniform vertical pressure q is equal to:
(11.5)
q average pressure applied to the ground by the foundation,
B width of strip foundation,
E drained or undrained modulus of ground,
Is influence factor for a strip foundation given in Figure II.la, and
h distance from ground surface to an incompressible base.
b) Circular Foundation
The settlement beneath the centre of a circular foundation on the surface of a homogeneous and isotropic elastic
material of thickness h and subject to uniform vertical pressure q is equal to:
( 11.6)
q average pressure applied to the ground by the foundation,
B diameter ofthe circular foundation,
E drained or undrained modulus of ground, and
Ie = influence factor for a circular foundation given in Figure 11.1b.
2.5 1.0
(a)
2.0
0.8
1.5
0
-
0.6
1.0
IE--iII
h B
0.4
h B
E,v
E,v
0.2
(b)
0 2 4 6 8 10
0 2 4 6 8 10
0.0
hlB
hlB
FIGURE 11.1 Influence factors for the settlement beneath the centre offlexible: (a) strip foundation
ofwidth B and (b) circular foundation ofdiameter B, on a uniform isotropic compressible
material ofthickness h. Modifiedfrom Rowe and Booker (J981a,b)
0.5
162 Canadian Foundation Engineering Manual
For the more general cases involving non-uniform ground stiffuess, foundation rigidity and burial beneath the
surface, as defined in Figure 11.2, the settlement beneath the centre of a shallow circular foundation resting on an
isotropic elastic material of finite thickness whose stiffness increases linearly with depth and is subject to uniform
vertical pressure q can be estimated using (Mayne and Poulos, 1999):
S = q BIG IF IE (l-v 2)
(11.7)
Eo
where
q average pressure applied to the ground by the foundation,
B diameter of the circular foundation,
IG influence factor for nonuniform ground stiffness given in Figure 11.2a,
IF influence factor for foundation stiffness given in Figure 11.2b,
IE influence factor for foundation embedment given in Figure 11.2c,
v Poisson's ratio, and
Eo drained or undrained modulus at the ground surface.
The influence factor for nonuniform ground stiffness is plotted against the dimensionless term:
Eo
(11.8)
kB
where
k is the increase in modulus with depth.
The influence factor for foundation stiffness is defined in terms of the dimensionless foundation flexibility ratio KF
which is equal to:
K = EF (2t)3
( 11.9)
FEB
where
EF-is the Young's modulus ofthe foundation material (e.g., concrete, steel), t is the thickness of the foundation,
and E is the average modulus of the ground within depth B beneath the foundation.
Although developed for circular footings, this method can be used for square and rectangular footing (provided the
length is less than three times the breadth) with an equivalent diameter used for B such that the total force applied
to the foundation is the same.
11.4 One-Dimensional Consolidation Method
11.4.1 Oedometer Test
The stiffuess parameters for many practical settlement calculations involving fine-grained soils can be obtained
from one-dimensional consolidation laboratory tests, referred to herein as the oedometer test. In principle, the
settlement of coarse-grained soils could also be assessed using the oedometer test; however, this is not normally
practical given the difficulties in obtaining undisturbed samples of coarse-grained soils.
Settlement of ShallOW Foundations 163
1.0
O.S
0.6
_0
0.4
0.2
0.0
(a)
0.5
hIB=0.2
0.01 0.1 10 100
p=
kB
'1.0
(b)
0.9
,..... "-
0.8
h
0.7
IT]:E
B k
fI z
0.001 0.01 0.1 1 10 100
3
K
f
=~ ~ )
1.0
0.9
u.l
,.....
0.8
0.7
0 5 10 15 20
(c)
~ -
If--!!II
B
fI= 0.5
0.4
0.3
0.2
0.1
0
DIB
FIGURE 11.2 lrifluence factors for the settlement beneath the centre ofa uniformly loaded circular
foundation ofdiameter B on a finite compressible layer ofthickness h whose stiffness increases
linearly with depth. Influence factors for: (a) nonuniform ground stiffness, (b) foundation rigidity
and (c) foundation embedment. Modifiedfrom Mayne andPoulos (1999)
164 Canadian Foundation Engineering Manual
Specific details on the procedures to conduct and interpret results from the oedometer test can be found elsewhere
(e.g., ASTM D2435; Holtz and Kovacs, 1981). In this test, soil samples retrieved from the field are subjected to
increments in total vertical stress under conditions of zero lateral strain. Excess pore pressures that generate in
the sample from an increment in total stress are allowed to dissipate (normally for a 24 hour period see ASTM
D2435 for possible deviations) prior to placement of an additional total stress increment. It is often assumed that the
increase in effective stress is equal to the increase in total stress at the end of each increment. The change in void
ratio (obtained from the change in height of the sample) is recorded for each stress increment. The void ratio at the
end of each increment is plotted versus the logarithm of the effective stress on the sample as illustrated in Figure
11.3.
Laboratory
data
Adjusted
for sample
disturbance
Effective stress d
(log scale)
FIGURE 11.3 Oedometer test results showing definition ofparameters to calculate one-dimensional settlement
The following parameters can be defined in reference to Figure 11.3:
eo initial void ratio of the sample corresponding to the initial (or in-situ) vertical effective stress (J'lo'
(J"
p
preconsolidation pressure which corresponds to the previous maximum vertical effective stress
experienced by the sample,
C
e
compression index, and
C recompression index (this portion of the plot is present only if J ~ > O"J
er
The preconsolidation pressure is related to the stress history of the deposit where normally consolidated soils
have 0" approximately equal to (J" and overconsolidated soils have 0" greater than (J" . The magnitude of the
pop 0
preconsolidation pressure may also be presented in terms the overconsolidation ratio, OCR, where:
cr'
OCR = -p (11.10)
cr
o
'
The preconsolidation pressure can be estimated using the empirical and graphical Casagrande procedure (for specific
details see Holtz and Kovacs, 1981). This approach is normally sufficient for estimation of foundation settlement
provided there is a defined change in slope of the e-log(J" plot. An alternate approach may be necessary for soils
with a more gradual change in slope of the e-log(J" plot (e.g., Becker et aI., 1987). Geologic information about the
site can also be used to assist with the estimation of the preconsolidation pressures.
Sampling disturbance decreases the preconsolidation pressure obtained from the oedometer test and also increases the
calculated settlements (Leroueil, 1996). Empirical methods exist to modify the measured laboratory curve to account
for changes in sample compressibility arising from sampling disturbance (e.g., see Holtz and Kovacs, 1981).
Settlement of Shallow Foundations 165
Slopes C
c
and C
er
are dimensionless parameters. Although they represent the compressibility of a particular soil
sample with a single value over a certain stress range, this does not imply that its stiffness is constant over that stress
range. Rather the value of C
c
combined with the logarithmic scale captnres the strain-hardening behaviour of soils
(i.e., they become stiffer as the effective stresses increase).
11.4.2 One-Dimensional Settlement: e-Ioga' Method
For cases where the loaded area ofthe foundation is large relative to the thickness ofthe compressible deposit, lateral
strains may be sufficiently small such that the foundation settlement can be approximated with one-dimensional
strain models. Since one-dimensional strain conditions are imposed during a conventional oedometer test, one-
dimensional settlement is denoted herein as oedometer settlement Saed'
One-dimensional settlement from an increase in initial vertical effective stress a'a to final vertical effective stress
is obtained by summing the increase in vertical strains with depth. The increment in vertical strain is obtained from
the change in void ratio !::.e for an increase in effective stress from laboratory oedometer data viz:
n[ ] n[-l1e ]
(11.11)
Soed = l1e z 8h i = 1+ eo 8h i
where
!::.e
z
increment in vertical strain from the increase in vertical effective stresses of sub layer i,
!::.e = change in void ratio from the increase in vertical effective stresses(i.e., at) of sublayer i,
e = initial void ratio of the sample corresponding to the initial (or in-situ) vertical effective stress a
t
of
o o
sublayer i,
n = number of sublayers, and
8h = thickness of sub layer i.
The negative sign in front ofthe /::"e term is to account for the decrease in void ratio for an increase in effective stress.
The change in void ratio depends on the stress history ofthe soil and magnitnde ofthe final vertical effective stresses
relative to the preconsolidation pressure. Final vertical effective stresses can be obtained using elastic solutions
(Section 11.6) and incorporating changes'in water levels beneath the foundation. Ifthe soil is normally consolidated,
then the change in void ratio is equal to:
(11.12)
M -C, J
If the soil is overconsolidated and < a'p' then the change in void ratio is equal to:
(11.13)
l1e =-C
cr
lOgJO(cr I
cr
o
)
while if overconsolidated and (J'p' the change in void ratio is equal to:
(11.14)
8e -C" !OglO( J-c, !OglOl:tJ
Alternatively, one-dimensional settlement can be expressed in terms of the coefficient of volume decrease, my':
n n
Soed =IJl1e
z
8h1== :lJmv I1cr; 8hJi
(11.15)
i=l ;=1
The coefficient of volume decrease is the slope obtained from a plot of effective stress (plotted on a linear scale)
versus vertical strain obtained from an oedometer test. An appropriate secant value of mv should be selected for the
effective stress increment expected beneath the foundation since mv is dependent on stress level and stress history.
Calculation of one-dimensional settlement is a special case of the more general three-dimensional elastic settlement
presented in Section 11.3 where lateral strains are neglected (Le., v 0) and a one-dimensional constrained modulus
(11m) is used for the elastic modulus.
166 Canadian Foundation Engineering Manual
11.4.3 Modifications to One-Dimensional Settlement
For foundations with one-dimensional conditions there are no undrained distortions Sj and the total final settlement
will be equal to the one-dimensional settlement STF= Soed' This would be applicable for foundations where the loaded
area is large relative to the thickness of the compressible deposit.
Modification to S may be required for foundations with other than one-dimensional conditions (e.g., foundations
oed
where lateral strains will occur). For normally consolidated clays, Soed provides a good approximation for the final
consolidation settlement SCF' whereas for stiff overconsolidated clays Soed is a good approximation to the total
final settlement (Burland et aL, 1977; Poulos, 2000). Thus the following modifications are required to one-
dimensional settlement theory for applications to two- and three-dimensional condition.
For normally consolidated clays:
(11.16)
F or stiff overconsolidated clays.
(11.17)
STF =Soed
S. (11.18)
I
11.5 Local Yield
The undrained distortion of heavily loaded foundations on weak soils may be larger than those calculated using
elastic displacement theory because oflocal ground yield (shear failure) beneath the foundation. The consolidation
settlement and the rate of settlement are not greatly affected by local yield (Small et al., 1976; Carter et al. 1979).
Based on the results provided by D' Appolonia et al. (1971), local yield may have an influence on undrained
distortions for foundations with a global factor of safety against bearing capacity ofthree or greater (FS? 3) if:
(1 ~ K a' <s (11.19)
where
o 0 u
Ko
coefficient oflateral earth pressure,
at
initial vertical effective stress beneath the base of the foundation, and
o
undrained shear strength ofthe soil within depth B beneath the base of the foundation (B is the least
plan dimension of the foundation). .
For cases that satisfy Equation 11.19, the effects oflocal yield on undrained distortions can be quantified using
modification factors for strip foundations reported by D' Appolonia et aL (1971) or by using numerical methods (see
Section 11.9). Local yield can be neglected for cases that do not satisfy Equation 11.19.
11.6 Estimating Stress Increments
Increments in total stress beneath a loaded region can be estimated using elastic theory. The following solutions for
the stress increments in a homogeneous, isotropic, semi-infinite elastic medium when subject to different loaded
areas were obtained from Poulos and Davis (1974). This reference also provides a useful compilation of elastic
stress distribution solutions for other loading conditions and nonuniform ground conditions.
11.6.1 Point Load
The stress increments at a point with coordinates rand z beneath a point load of magnitude P on the ground surface
(Figure 11.4) are: 3P 3
cr =
Z
(l1.20a)
z 2n:
..~
Settlement of Shallow Foundations 167
p
3r
2
z + (1- 2v )R]
(lL20b)
a =---
r 2n R2
R+z
R
(11.20c)
2nR2 R R + z
(l1.20d)
where
a
z
' a,., a
o
and Or. are the vertical, radial, tangential and shear stresses induced by the point load.
p
__________ ________
z
FIGURE 11.4 Vertical force P acting on the ground surface
11.6.2 Uniformly Loaded Strip
The stress increments beneath an infinitely long strip of width 2b subject to uniform vertical pressure q on the
ground surface are:
a z =!L P. + sina cos(a + 28 )] (l1.2Ia)
n
ax =!Lp. sino. cos (a +28)] (l1.2Ib)
n
a =2Qva
(l1.2lc)
Y n
t xz = !Lsina sin(a + 28 ) (l1.21d)
n
where
a, a ,a and 0 are the v.ertical, horizontal, axial and shear stresses, and a. and b are angles in radians as shown
z x y xz
in Figure II.Sa. Positive angles are counter clockwise from the vertical. Contours of vertical stresses from
Equation ll.21a are plotted in Figure 11.Sb.
168 Canadian Foundation Engineering Manual
(b)
0.5
2b
(a)
•
q
1.5
x ~
........ a'01\ .... N
'"'.... ,
'. ,
' : ~
z
0.5 1.0 1.5 2 2.5 3
xlb
FIGURE 11.5 Vertical stress (J"z beneath a uniformly loaded strip ofwidth 2b on
the ground surface subject to vertical pressure q
11.6.3 Uniformly Loaded Circle
(b)
0
0.5
2a
(a)
1.5
r
co
....
2
N
Z
2.5
3
3.5
0.5 1.0 1.5 2 2.5 3
rIa
FIGURE 11.6 Vertical stress (J"z beneath a uniformly loaded circle ofdiameter 2a on
the ground surface subject to vertical pressure q
Settlement of Shallow Foundations 169
The stress increments beneath the centre of a circular area (i.e., along r 0) with radius a subject to uniform vertical
pressure q on the ground surface (Figure 11.6a) are:
2
1
(l1.22a)
q[ 2(l+v)z
+ {
'9
2
+
(l1.22b)
0' r =0' e = - (1 + 2v ) - { ~
'9
2
~ ] 2 + /
where
(Jz' (JI" and (JIJ are the vertical, radial and tangential stresses.
The vertical stresses beneath a uniformly loaded circle are plotted in Figure 11.6b.
11.6.4 Uniformly Loaded Rectangle
The stress increments beneath the comer of a rectangle oflength L and width b subject to a uniform vertical pressure
q on the ground surface (Figure 11.7a) are:
=- tan
LbZ[ 1 1)]
(l1.23a)
O'z
q [ -t(LbJ
- +-- --2 +-2
2n zR3 R3 R
t
R2
-I ( Lb J LbZ]
0' = tan - ---
(l1.23b)
x 2n
[
. ZR3 Rl2R3
(11.23c)
(I1.23d)
(11.23e)
( I1.23f)
where
(l1.23g)
(l1.23h)
R2 =(b
2
+ y ~
R3 =(p + b
2
+ Z2),Y:;
(l1.23i)
I
170 Canadian Foundation Engineering Manual
and a a and a are the vertical, horizontal and axial stresses and
and r are the shear stresses.
z'.x' y
x)'
Alternatively, the vertical stress beneath the corner of a uniformly loaded rectangle is given by:
where
is an influence coefficient plotted in Figure 11.7b. The stress at points other than beneath the corner of the
R
rectangle can be obtained from linear superposition (i.e., addition and/or subtraction of influence coefficients).
For example, the stress beneath the centre of a rectangle with dimensions 2L by 2b is equal to four times the
stress beneath the comer of a rectangle with length L and width b.
(b)
0.25
0.20
(a)
q
0.15
m :::.L/z
n =b/z
0:= q
z
0.7
0.6
0.5
0.4
0.3
0.2
m = 0.1
z
~ c r
0.10
0.05
o.00 t=::::::;o;;;;;,.o:::=::c:i:iI:::.-...I.-I.....I..J...u..LJLl...-....J-.I...&...1..I...I..UI
0.01 0.1 1 10
n
FIGURE 11.7 Vertical stress a
z
beneath the corner ofa uniformly loaded rectangle of
width b and length L on the ground surface subject to vertical pressure q
11.7 Obtaining Settlement Parameters
Selection of ground stiffness or compressibility parameters is an important step to estimate the settlement of shallow
foundations. For example, this may involve obtaining estimates of drained and undrained moduli (E " Vi, and E ) for
use in the elastic displacement methods presented in Section 11.3. Compressibility parameters for use in the uone_
dimensional e-loga' method (C
e
, and Cc) are normally obtained from the oedometer test (Section 11.4.1).
The soil parameters for input into any settlement calculations should not be viewed as constants but rather dependent
on many factors including: ground conditions, geologic setting, type of foundation (i.e., shallow or deep) and nature
of loading. Engineering judgement is required in the selection of stiffness parameters, and consequently, they should
always be selected by a qualified and experienced engineer.
Settlement of Shallow Foundations 171
Settlement parameters may be estimated using several different methods ranging from empirical correlations with
penetration tests (e.g., SPT, CPT), to laboratory tests on high-quality samples from the field (oedometer, triaxial
testing), to field testing directed at obtaining parameters for shallow foundations (e.g., plate load tests, measurements
of shear wave velocity). Becker (2001) provides a summary of available field (in-situ) testing methods. Often
settlement parameters are assessed using different methods to provide a bound on the parameters and to check for
consistency between values.
The extent ofthe testing involved in the selection of settlement parameters can be based on the risk ofthe foundation
project. For foundations projects oflow-risk (e.g., those involving few hazards with a low probability of occurrence
and limited consequences), parameter selection may be largely based on assessed values based on past local
experience or on empirical correlations with standard penetration test (SPT) blow count and/or cone penetration test
(CPT) tip resistance. Whereas for medium and higher risk projects, in addition to the use of empirical correlations,
laboratory testing on high-quality samples and/or specialized field (in-situ) testing are normally warranted.
Values of drained Poisson's ratio are not normally measured for most foundation projects, but rather estimated from
published values for similar soil and strain levels. Mayne and Poulos (1999) suggest that a Poisson's ratio between
0.1 < v' < 0.2 can be used for both fine and coarse-grained soil for the strain levels expected beneath shallow
foundations.
Field penetration results from the Standard Penetration Test (SPT) blow count and/or Cone Penetration Test (CPT)
tip resistance are often available from the site investigation. Both of these penetration tests do not provide direct
measurements of soil stiffuess since they do not simulate the stress path or strain level of shallow foundations.
Empirical correlations exist between SPT results and modulus for coarse-grained soils (e.g., Berardi and Lancellotta,
1991) and may be used as an initial guide. CPT data is generally more reliable and reproducible compared to
the SPT. Available correlations between CPT tip resistance and modulus for coarse-grained soils can be found
elsewhere (e.g., see Baldi et aI., 1989). Modulus can also be inferred from field results from the flat dilatometer
test (DMT) or the pressuremeter test (PMT), e.g., see Lunne et aI. (1989), Marchetti et al. (2001). Regardless ofthe
testing procedure, such correlations should not be extrapolated to ground conditions different from those that they
were derived for (e.g., soil type, fines content, stress history, etc.). All empirical correlations need to be treated with
caution and adjusted as appropriate by experience.
Both drained and undrained moduli can be obtained from laboratory triaxial testing on high quality samples with
values selected over the appropriate stress range. The challenges of obtaining undisturbed samples ofcoarse-grained
soils often preclude laboratory testing on these materials for most foundation projects. Drained modulus for use in
three-dimensional calculations can also be estimated from the constrained modulus (D'=lIm) from oedometer test
v
results. For an isotropic elastic material the drained Young's modulus for three-dimensional conditions E' is related
to the one-dimensional constrained modulus D' by:
(l+v')(1 2v')D'
(11.24)
(I-v')
For fine-grained soils, correlations have been developed relating undrained modulus to undrained shear strength and
have been summarized by Lade (200 I).
For both fine- and coarse-grained soils, values of drained and undrained moduli can also be related to the small
strain shear modulus G . The small strain shear modulus is the same for static and dynamic loading, characterizes
max
both drained and undrained deformations, and is relatively insensitive to OCR of both sands and natural clays
(e.g., see Poulos et aI., 2001; Burland, 1989). The small strain shear modulus can be obtained from the shear wave
velocity Vs and total mass density of the soil P
T
via:
2
(11.25)
G
max
= Pr Vs
Shear wave velocity can be measured in the field from seismic cone penetration test (sePT, e.g., see Lunne et
aI., 1997), or from cross-hole wave tests (ASTM D4428). Shear modulus G decreases from G
max
as shear strains
172 Canadian Foundation Engineering Manual
increase. Consequently, adjustments to modulus depending on level of stress or strain of the foundation can then
be made (e.g., see Fahey and Carter, 1993; Lehane and Fahey, 2002). Poulos et al. (2001) provide a summary of
findings on shear modulus dependence on strain level and propose a simple framework to incorporate these into
practical estimations of foundation settlement.
For fine-grained soils, undrained modulus E1/ can be obtained from shear modulus using:
E 3G (11.26)
II
For stiff overconsolidated clays, the drained modulus E' can be found from G using the relationship for an ideal
elastic material:
E'=2(1+v)G (11.27)
Equations 11.26 and 11.27 can be used to relate the drained and undrained moduli for an overconsolidated clay. For
soft compressible clays, the ratio of drained to undrained moduli may be much smaller than that derived from elastic
theory, with the ratio becoming smaller as the soil becomes more compressible.
11.8 Settlement of Coarse-grained Soils Directly fr9m In-Situ Testing
11.8.1 Standard Penetration Test (SPT)
a) Method of Peck et al. (1974)
Peck et al. (1974) provided an empirical chart that relates the design bearing pressure for a foundation on sand
with the results from Standard Penetration Test (SPT) N resistance, foundation width and foundation embedment
as given in Figure 11.8. The design bearing pressures from Figure 11.8 are expected to produce settlements smaller
than 25 mm. This figure can be used to estimate preliminarily geotechnical bearing resistance at serviceability limits
not exceeding 25 mm of total settlement.
SPT-N values need to be adjusted for depth (overburden pressure effects) using the relationship in Figure 11.8d
before using Figures 11.8 a-c.
A representative value of SPT-N should be used to a depth ofB beneath the foundation. This approach was developed
from field data gathered prior to the 1970s, thus N probably is for an energy ratio of 50-55 %. This approach was
also developed for conditions where the groundwater level is located deep beneath the foundation elevation. If the
groundwater level rises to the ground surface, no more than halfthe pressure values indicated in Figure 11.8 should
be used. For intermediate positions of the groundwater level (i.e., 0 < z :.; D+B) the design bearing pressure from
Figure 11.8 can be multiplied by the factor C w' given by:
z
(11.28)
0.5+0.5--
D+B
where
z is the depth to the groundwater level and D is the depth to the underside of the foundation, both relative to
the ground surface.
Estimates ofdesign bearing pressure from Figure 11.8 are generally viewed as being conservative. Tan and Duncan
(1991) found that the results using the method of Peck et al. (1974) were not very accurate as they overestimated
settlements by an average factor of2.7 when compared with 76 cases involving shallow foundations on sand (with
B < 10 m). Although inaccurate, Tan and Duncan (1991) also found this approach to be reliable, as settlements were
underestimated in only 20 % of the 76 cases. Consequently with appropriate engineering judgement, the approach
of Peck et al. (1974) may be suitable for foundation design oflow risk projects and assessing geotechnical bearing
resistance at serviceability limit states not exceeding 25 mm of total settlement.
---
Settlement of Shallow Foundations 173
b) Methodof BurlandandBurbidge(1985)
BurlandandBurbidge(1985)providedanempiricalexpressiontoobtainthesettlementforfoundationsonnormally
consolidatedcoarse-grainedsoilsfromSPTdatathatcanbeexpressedas:
- 14 q
(11.29)
N60
where
S drainedsettlement(mm),
averagestandardpenetrationresistancewithindepthB0
7
) beneaththefoundationadjustedtoenergy
ratioof60%,
B widthoffoundation(m),and
q averagepressureappliedtothegroundbythefoundation(kPa).
Inthisapproach,theSPT-Nvalueisadjustedtoanenergyratioof60% (e.g.,seeTerzaghieta1., 1996)butitisnot
necessarytomodifythevalue ofNforoverburdeneffects. Whenselectingthe averagepenetrationresistance, N
60
shouldbeadjustedforverydensefineorsiltysandsusing:
N'60 15+!(N6o-15) (11.30)
2
Ifthe thickness ofthe compressiblecoarse-grainedlayeris less than BO.
7
) the actual thickness can be substituted
forBO.7) inEquation 11.29.ForoverconsolidatedsandsBurlandandBurbidge(1985)foundthatthesettlementwas
approximatelyone-thirdof thatfornormallyconsolidatedsands.
TanandDuncan(1991)foundthatthemethodof BurlandandBurbidge(1985)wasmoreaccurate(overestimated
settlementsbyafactorof1.5)butlessreliable(underestimatedsettlements50% of thetime)thanthatof Pecketal.
(1974)whencomparedwith76casesinvolvingshallowfoundations onsand.
.........
600 0
ro
CI..
c:
500
Q.)- 100
.,
"Ero
'"
0-
:::lCl..
400
..c
...........
200
Q.)
:::l
300
> Q.)
III o ....
III
300
> UJ
0- 200
:;::iQ.)
U ....
0')
Q.)O-
N'60=C
N
N60 c:
400
.;: :t:
100
W
ro
Q.)
III
500
0.0 0.5 1.0 0.0 0.5 .1.0 1.5 0.5 1.0 1.5 2.0
Width of foundation, B (m)
eN
FIGURE 11.8 Designbearingpressureforfoundations onsandforsettlementnotexceeding25 mm
basedonSPT-Nresultsfor: (a) DIB=l, (b)DIB=O.5, and(c) DIB=0.25. SPT-Nvaluefromfield
to bemodifiedbyfactorCNgivenin (d)forusein(a)-(c). ModifiedfromPecketat. (1974)
11.8.2 Cone Penetration Test (CPT)
Conepenetrationtest(CPT)tipresistanceqc canbeusedto estimatefoundationsettlementincoarse-grainedsoils
using the approach ofSchrnertmann et al. (1978). This approach uses a simple approximation ofelastic strain
distribution with the drained modulus obtained from the correlations with the CPT tip resistance. The sand is
dividedintoanumberoflayers(n) ofthicknessfj.z downtoadepthbelowthebaseofthefoundationequalto2Bfor
asquarefootingand4B forastripfooting(lengthoffooting,L > lOB). Arepresentativevalueofqc is assignedto
eachlayer. Thesettlementisthengivenby:
(d)
174 Canadian Foundation Engineering Manual
n
(11.31)
S =C
1
C
2
C
3
t3.q 2:
;=1
where
C
factor to allow for strain relief from embedment,
1
I
1-0.5J£ (11.32)
Ilq
factor to account for creep and cyclic loading, C
2
( t \
I + 0.210g
lO
01.33) -j
0.1
C
3
factor to account for foundation shape,
1.03 0 . 0 3 ~ ) 2': 0.73, for strip foundations
(11.34)
1.0, for circular and square foundations,
Ilq net foundation pressure = q - q:,
q average pressure applied to the ground by the foundation,
q:
initial vertical effective stress at foundation depth D,
t time since load application in years,
I strain influence factor (see Figure 11.9),
z
Ilz. thickness of layer i,
j
modulus of the sand for layer i ,
3.5Qc for strip footings (LIB> 10), or (11.35a)
= 2.5Qc for square or circular footings (LIB = 1), and (l1.35b)
qc
average CPT tip resistance for each layer.
The triangular distributions used to approximate the vertical strains with depth are given in Figure 11.9.
The peak value ofthe strain influence factor (I ) occurs at a depth (zDP) ofBI2 beneath square or circular foundations
zp
and a depth of B beneath strip foundations, and has a value given by:
(11.36)
where
q ~ is the initial vertical effective stress at the depth corresponding to the peak value of strain.
A useful refinement to this method would be to use the actual strain distribution beneath the foundation given by
elastic theory in Section 11.3 instead of the triangular approximation, which could be readily programmed in a
spreadsheet for easy calculation (e.g., see Mayne and Poulos, 1999).
The modulus values obtained with the correlation with qc are reasonable for recent normally consolidated sands.
Estimates of sand modulus from qc can also be obtained from Baldi et al. (1989) as a function of the degree of
loading, soil density, stress history, cementation, age, grain shape and mineralogy. These correlations suggest ratios
of E'lqc from 2 to 4 for recent, normally consolidated sands; 4 to 6 for aged (>1000 years), normally consolidated
sands; and 6 to 20 for overconsolidated sands.
......
Settlement of Shallow Foundations 175
1
3
B Zo ,
....................t ..t. qp
0.0 0.2 0.4
0·6
0.8 1.0
FIGU,RE 11.9 Influence factor Izfor estimating settlement offoundation on sand
using Schmertmann smethod (modifiedfrom Schmertmann et al. 1978)
11.9, Numerical Methods
".Finiteelementorfinitedifferencenumericalmethodsmayalsobeusedtoestimatefoundationsettlement.Numerical
.JIletbods.provide the opportunity to. model complex. ground conditions (ifknown). It is also possible to model
boththestructureandtheground(andtheassociatedinteractionsbetweenthetwo)whichmayprovideadditional
informatl()llontheinfluenceofintermediatefoundationrigidityongroundresponseand/orthestructuralresponse
ofthe foundation (e.g., bending moments, shearforces, deflections) for use in structural design. More elaborate
constitutiverelationsforthegroundmaybeemployedinanumericalmethodtopossiblybettercapturetheinfluence
ofsoilnonlinearityoryielding; however,thisrequiresknowledgeoftheconstitutiverelationship andtheabilityto
measuretherequiredparameters.
Numericalmetho,dsmaypemore appropriateformediumandhigh-riskfoundations wherethereis sufficientdata
available tojustify more elaborate analysis. Additionally the finite elementmesh orfinite difference grid should
havesufficientrefinementtocorrectlyapproximatestressesanddisplacements.
refinementcanreadilybeverifiedbyconductinganalyseswithprogressivelyincreasedmeshrefinementuntil
thereisnegligiblechangeinthenumericalsolution. Considerationmustalsobegiventotheselectionof boundary
conditionssuchthattheyadequatelymodelthefoundation.TheelasticsolutionspresentedinSection11.3.4provide
simplesolutionsthatmaybeusedtoverifytheresultsfromnumericalanalyses.
11.10 Creep
", For SQils,laboratoryandfielddatasuggestthatcreep(Le.,secondarycompression)displacementsoccur
sim4lt,aneously with primaryconsolidation(Leroueil, 1996). Formostpracticalcases involvinglow compressible
C!(1+e)<0.25, duringprimary doesnotneedtobeexplicitlycalculated.Consequently,
',.creepsettlements are addedto the,total final settlementto accountfor displacements ofthe foundation whenthe
effective (i.e.,attheendof primaryconsolidation).
,Foundationdisplacementsfromsecondarycompressionattimet canbeestimatedfrom:
(11.37)
Sse = Ho I
l+e
o
tp/
....
176 Canadian Foundation Engineering Manual
where
C secondary compression index in terms of void ratio,
a
duration of primary consolidation, and
thickness of compressible layer.
Values of C may be obtained from the oedometer test. Often a reasonable estimate for normally consolidated
. a
inorganic clays and silts is equal to 0.04C
c
' with values for other ground types reported in Terzaghi et ai. (1996).
For highly compressible clays with C /(1 +e ) > 0.25, viscous effects may contribute to foundation displacements
co·
during the time frame of primary consolidation and may be estimated as discussed by Leroueil (1996).
11.11 Rate of Settlement
The rate ofsettlement may be of importance for foundations on fine-grained soils and depends on-how quickly excess
pore pressure can dissipate. Generally the rate of settlement depends on the type ofsoil,hydraulic conductivity ofthe
soil, and drainage boundary conditions. The rate of settlement is quantified by the average degree of consolidation
U for use in Equation 11.2 and may be obtained using one- or three- dimensional consolidation theories depending
on the foundation conditions.
11.11.1 One-Dimensional Consolidation
One-dimensional consolidation theory of Terzaghi (for details see Terzaghi et aI., 1996) assumes that pore pressures
can dissipate only in a vertical direction (Le., there is no lateral flow). It may be used to estimate the rate of
settlement for foundations where the assumption of one-dimensional drainage maybe reasonable (e.g., foundations
where the surface load is large relative to the layer thickness).
The average degree of consolidation U obtained from Terzaghi's one-dimensional theory is plotted in Figure 11.10
versus dimensionless time factor, T,
v
where:
(11.38)
and
C
v
one-dimensional coefficient of consolidation,
t time, and
H drainage path of the consolidating layer.
The one-dimensional coefficient of consolidation is normally obtained from oedometer results for load increments
taken over the appropriate stress range (for the graphical procedures see Holtz and Kovacs, 1981) and may also
be estimated from in-situ cone penetration tests (CPT) with pore pressure measurements (e.g., see Lunne et al.,
1997).
The drainage path H relates to the boundary conditions above and below the consolidating layer. Conditions of two-
way drainage exist if excess pore pressures can dissipate at the top and bottom of the consolidating layer and the
drainage path would be equal to one-half of the thickness of the consolidating layer: One-way drainage conditions
exist if the excess pore pressures can only dissipate to one of the layer boundaries and is equal to the thickness of
the consolidating layer. Figure 11.10 may be used for conditions involving two-way drainage with initial linearly·
distributed excess pore pressures and for one-way drainage where the initial excess pore pressures are uniform
throughout the consolidating layer.
The average degree of consolidation in Figure 11.10 was obtained assuming that the foundation load was rapidly
applied and then held constant. An estimate of the influence of gradual loading on the rate of consolidation is given
by Terzaghi et al. (1996).
Settlement of Shallow Foundations 177
0.0
0.2
0.4
::::,
0.6
0.8
1.0
0.001 0.01 0.1 1
Tv
FIGURE 11.10 Average degree ofconsolidation for one-dimensional conditions.
Modified from Tergazhi et al. (1996)
11.11.2 Three-Dimensional Consolidation
For many practical foundations, lateral flow ofwater will occur and consequently Terzaghi's one-dimensional
consolidation solution will underestimate the rate ofsettlement with time. Other factors being equal, smaller
foundations willsettlefastergiventheabilityofexcessporepressurestodissipatelaterallyandvertically.
The approximatesolutionsofDavisandPoulos(1972.) maybeusedtoestimatethedegree ofsettlementfortwo-
andthree-dimensional drainage. Alternatively, usingthe solutions ofDavisandPoulos (1972),the coefficient of
consolidationforuseinone-dimensionalconsolidationtheorycanbemodifiedtoapproximatelyaccountforthree
dimensionaleffects(Poulos,2000):
c =R c (11.39)
ve f v
where
C
v
one-dimensionalcoefficientofconsolidation(e.g.,obtainedfrom odeometerresultsoverthe
appropriatestressrange),
c
ve
modifiedcoefficientofconsolidation(foruseinFigure 11.10),
and
R = modificationfactortoaccountforthree-dimensionaleffects.
f
_ FactorRf(i.e., c
ve
/ c)isplottedinFigure 11.11 andispresentedforbothstripandcircularfoundationsandforthree
combinationsofdrainageboundaryconditionsthatmaybeencounteredinpracticethataredenotedas:
PT permeabletopsurface,
PB permeablebottomsurface,
IF impermeablefoundation, and
IB impermeablebase.
Square foundations can be approximated as a circle. An approximation for rectangular foundations is given by
DavisandPoulos(1972). Modifications to accountfor anisotropicpermeabilityofthe consolidatingsoilare also
givenbyDavisandPoulos(1972).
.. ---
178 Canadian Foundation Engineering Manual
10
I
8
I
::.
"
()
6
1 ()
1
II
"-
4
I
a:::
1
,
2
1
I'
0
I
I
100
1
1
d"
"
() 10
II
a:::"""
1
0
FIGURE 11.11 Equivalent coefficient ofconsolidation c
ve
for use in one-dimensional rate ofsettlement
analysis to account for three-dimensional effects for: (a) strip foundation ofwidth B and (b) circular foundation
ofdiameter B on a uniform layer ofconsolidating soil ofthickness h. Modified from Poulos (2000)
11.11.3 Numerical Methods
The rate ofsettlement can also be obtained by employing numerical methods. This approach may only be appropriate
for medium and higher risk projects where there is sufficient data to warrant more elaborate amilysis. Numerical
methods can solve the equations ofBiot (1941) to calculate both changes in stresses and pore pressures in response to
applied loads. More realistic constitutive models can be used for the soil to characterize effects such as the decrease
in hydraulic conductivity with decreases in void ratio during consolidation, as well. as possible viscous effects of the
soil. Either finite element or finite difference numerical approximations may be employed. It is important to have
sufficient refinement of finite element mesh or finite difference grid and sufficiently small time increments to avoid
numerical errors.
11.12 Allowable (Tolerable) Settlement
Foundation deflections need to be limited to allowable levels to ensure adequate serviceability of the structure.
Figure 11.12 illustrates the types of limiting deflections that need to be considered to avoid damage to the structure.
An overlying structure experiences no additional structural loads from a uniform vertical deflection ofthe foundation
(Figure 11.12a). However, limits on the total settlement of the structure are required to prevent damage to services
(a)
1!:
2 3 4 5
hlB
(b)
PT-PB
III
r::
1 2 3 4 5
hlB
Settlement of Shallow Foundations 179
connected to the building (e.g., gas lines, water and sewer pipes). Differential settlements refer to the case where
one portion of the foundation settles more than that at other locations. Differential settlements will occur from
differences in loads applied to the foundation and/or from the natural variability ofthe ground beneath the foundation
(e.g., from variations in thickness, presence and stiffness of a compressible layer, depth to bedrock). For framed
strUctures (Figure ll.l2b), limiting differential settlements are defined in terms of an allowable angular distortion,
which is equal to the differential settlement divided by the distance over which the differential settlement occurs.
For unreinforced load bearing walls and panels (Figure 1l.l2c and d), allowable settlement to limit cracking of the
wall is expressed as a deflection ratio, which is equal to the relative sag or hog divided by the length of the wall.
Overall and local tilt of the structure may also need to be limited (Figure 11.l2e).
Span between Span between
(a) columns (b) columns
IE )oj
IE )It
-
,--- - -....i
.
j
[:-
... ........t S t.........
f
I I I
l\S=O
(c)
Wall length
Sag
(e)
r--- -
-
I ..........
----; .. "'--1
I
.
. l
c::- _ ....t - __.I S
........""t
.. -..-'"
I I I
l\SJ
I
Jf
Angular distortion =
Span
Tension
(d)
fl
Deflection ratio =L l\S h
engt
.............-....................... _............ __........ _......._-:
______ Wall length
cracks
l\S
Hog
Local tilt
FIGURE 11.12 Illustration oftypes of tolerable settlements for shallow foundations.
Dashed lines indicate undeflected position ofstructure. Modifiedfrom Burland and Wroth (1974)
Tolerable limits on foundation deflections listed in Table 11.1 may be used for low risk projects and as an initial guide
for higher risk projects. For higher risk projects, consideration should be given to (Boone, 1996): the configuration,
flexural and shear stiffness ofthe building sections; nature of the ground deflection profile; location of the structure
relative to the deflection profile; and possible slip between the foundation and the ground. The values cited in Table
11.1 and in Boone (1996) provide realistic estimates of tolerable settlement. They should not, however, preclude
specific structural assessment of tolerable settlement of a given building or structure. Communication between the
structural and geotechnical engineer is encouraged to address adequately appropriate serviceability limit states
criteria.
180 Canadian Foundation Engineering Manual
TABLE 11.1 Guidelines for Limiting Settlement ofFramed Buildings and Load Bearing Walls
(adaptedfrom Poulos et al., 2001)
Type Of Damage Criterion Limiting Value
Structural damage Angular distortion 11150 - 1/250
Cracking in walls and partitions Angular distortion
11500
111000 111400: end bays
Visual appearance Tilt 1/300
Connection to services Total settlement
50
50
75 mm: sands
135 mm: clays
Cracking by relative sag
.
Deflection ratio
112500: walliengthlheight= 1
111250: walllength/height=5
Cracking by relative hog' Deflection ratio
1/5000: walliengthlheight=l
1/2500: walllengthlheight=5
, For unreinforced load bearing walls.
Drainage and Filter Design 181
Drainage and Filter Design
12 Drainage and Filter Design
12.1 Introduction
Drainageisessentialtotheperformanceofearthworks,includingslopes,wallsandshallowfoundations.Thedrains
must provide, overthe service life ofthe structure, a means for the collectionand discharge ofwaterthatwould
otherwise impairits performance. Thedetrimental effectsofwateronsubsurfacefacilities are manifestedinways
thatinclude:
• the ingressandpresenceof waterinlocationsthatwereintendedtobedry;
• the impactofdissolvedsalt,whichis corrosivetoPortlandcementconcrete;and,
a reduction ofshearstrength in the soil as the effective stress diminishes inresponse to increasingpore
waterpressure.
Drainage pipes are used to collect and remove subsurface water. The pipes must have structural, hydraulic and
durabilitycharacteristicsthatensuretheysupporttheloadstowhichtheyaresubjectduringandafterconstruction,
while adequately conveying the inflow. Perforated or slotted drainage pipes, into which water seeps, must be
protectedbyfilterprovisions.
12.2 Filter Provisions
Filtermaterials,forexampleoneormore specifiedgradationsofcoarse-grainedsoil, oralternatively ageotextile,
areusedtoretainthebasesoilagainstwhichitisplacedwithoutadverselyimpedingsubsurfaceflowfromthatsoil.
Accordingly,thefiltrationprocessitselfispredicatedonthedevelopment, overtime,ofastableinterfacebetween
basesoilandfiltermaterial. Geotextilefilters areaddressedseparatelyinChapter23.
Agradedgranularfiltershouldsatisfythe followingperformancerequirements:
1. The voids ofthe filter should be small enough to restrict particles ofthe base soil from penetrating or
washingthroughit, fulfillingacriterionof"soilretention."
2. Thefiltermaterialshouldbemoreperviousthanthebasesoil,fulfillinga"permeabilitycriterion."
3. Thefiltershouldbe sufficientlythickto ensurearepresentativegradationthroughout.
4. Thefilter shouldnotsegregateduringprocessing,handling,placing,spreadingorcompaction.
5. Thefiltermaterialshouldbephysicallydurable, andchemicallyinert.
6. Thefiltershouldnotbesusceptibletointernalinstability,wherebyseepageflowactstoinducemigrationof
thefinerfractionof thegradation.
7. Thefiltergradationshouldbecompatiblewiththesize,locationanddistributionofopeningsinthedrainage
pIpe.
.........
182 Canadian Foundation Engineering Manual
12.3 Filter Design Criteria
Perfonnance requirements are addressed by a series of design criteria. The criteria are empirical, having been
established from interpretation of experimental observations, with occasional consideration of theoretical analysis
and practical constraints. They are founded on observations of steady unidirectional flow and, accordingly, are
appropriate to such conditions in the field. In describing the base soil, its grain size distribution should be determined
by wet sieving and without the use of a dispersing agent: the fines fraction so obtained is believed representative
of that encountered by the filter (GEO, 1993). Reddi (2003) provides a concise summary of filter requirements in
drainage applications, and many of the related design criteria, including a series of worked examples.
12.3.1 Retention Criterion
The pore size distribution of the filter is strongly influenced by its grain size distribution. A pore size that is
sufficiently small will restrict the passage of finer grains through the filter. Retention of the base soil is therefore
achieved through specifying a maximum value for the ratio of a characteristic grain size of filter CD,) to grain size
of base soil (d
8s
)' Laboratory testing of Bertram (1940), Karpoff (1955) and Sherard et al. (l984a) confirm the
general suitability of a criterion first advocated by Terzaghi in the design of drains for embankment dams, where:
In a minor variation to the criterion, these studies have led to the recommendation (GEO, 1993) in current practice
that filters comprising sands and gravels (D
l5
1arger than about 1.0 mm) satisfy:
Either criterion provides a suitable margin of safety against inadequate retention, the onset of which has been noted
to occur at a ratio of D15 /d
85
in excess of ten.
For base soils comprising clays, Sherard et aL (l984b) recommended a sand filter with a DIS of 0.5 mm. For sandy
clays and silts, the filter criterion D
I
/d
85
< 5 is reasonable and conservative.
12.3.2 Permeability Criterion
A pore size that is sufficiently large will promote unimpeded flow of water from the base soil, through the filter.
Adequate permeability of the filter is therefore achieved through specification of a minimum value for the ratio of a
characteristic grain size of filter (D IS) to grain size of base soil (diS)' Terzaghi first advocated a ratio for base soils,
where
Recognizing that permeability is, to some extent, a function of the square of the Djd
l5
ratio, a relative permeability
of about 25 is implied by the recommendation for current practice (GEO, 1993) that:
Drainage and Filter Design 183
12.3.3 Other Design Considerations
The following suggestions are made, based on experience reported in the literature, to address additional
considerations arising from the requirements of a filter:
The filter should be sufficiently thick to ensure a representative gradation in the region ofinflow. Accordingly,
the minimum thickness is strongly influenced by the size of the larger grains. While no specific criterion
exists, it is suggested the filter be at least 300 mm thick, to ensure a reasonably consistent distribution of
grams.
The filter should not segregate adversely during processing, handling, placing, spreading or compaction.
Experience shows that susceptibility to segregation increases with the range in grain size, and the maximum
particle size. The phenomenon is therefore limited by imposing an upper limit on the coefficient ofuniformity
(C
u
)' and it is suggested that C < 20 and D < 50 mm.
u 100
The filter material should be physically durable, and chemically inert. Accordingly, consideration should be
given to the mineralogy ofthe filter material, and its compatibility with the pH of the subsurface water.
The filter should not be susceptible to internal instability, whereby seepage induces a migration of the
finer fraction of the gradation. Experience shows that internal instability is most likely in s'Oils that have a
gently inclined gradation in the finer fraction of the grain size distribution, and in soils exhibiting a gap-
gradation. Kenney and Lau (1985, 1986) postulate a boundary to internal instability based on the shape of
the gradation curve over its finer fraction: the increment of mass fraction (H), over a designated range of
grain size (D to 4D) beyond a point on the grading curve (F), defines a ratio H/F that is deemed indicative
of potential instability when HlF > 1. It complements an earlier approach (Kezdi, 1979) based on a split
gradation analysis, and the principle of soil retention of the finer fraction by the coarser fraction.
The filter gradation should be compatible with the size, location and distribution of perforations in the
drainage pipe. For steady unidirectional flow, experience suggests D85 should not exceed the diameter of
circular openings, and D70 should not exceed the width of slot openings.
12.4 Drainage Pipes and Traps
Drainage pipe must be installed at a slope that is sufficient to induce a flow velocity capable of transporting any
fine grains that wash in through the openings of the pipe. The minimum slope is 1 %. It is important that traps
be installed, which cause the flow to change and result in deposition of suspended solids at locations that can be
accessed for purposes of inspection and cleaning. The use of valves may be necessary to ensure flow occurs in the
desired direction, and to prevent the possibility of a back-flow in the drainage system.
12.4.1 Construction of Subsurface Drains
Key elements in the configuration ofa perimeter drainage system for a shallow foundation are illustrated schematically,
for three scenarios, in Figure 12.1. It is important to slope of the base of the trench away from the footing, to slope
the wall ofthe trench such that minor sloughing is avoided during placement ofthe drain, and to direct surface water
away from the trench itself. Intended use of the structure determines the need for damp-proofing the outside face
of the wall. A geotextile may be used to separate the foundation soil from that of the filter and backfill: experience
does not support wrapping geotextile around the drainage pipe, due to the concentration of flow. It is important to
locate the invert of the drainage pipe below the top surface of the basement floor slab. Where concern exists for
integrity of the footing, and the efficiency of its bearing action, the invert of the drainage pipe should not be located
below the elevation of the footing. .
184 Canadian Foundation Engineering Manual
FIGURE 12.1 Typical Sections Showing Arrangement ofSubsurface
Perimeter Drains around Shallow Foundations
(1) perforated or slotted pipe placed about 300 rnm below the upper level of the basement floor slab;
(2) unperforated drain pipe connected to appropriate trap and backwater valve before connecting to a sewer. The
trap shall have provisions for inspection and cleaning;
(3) filter material that is compatible with the grain size characteristics of the fine-grained foundation and backfill
soils, as well as with the perforations of the pipe;
(4) filter material continuously or intermittently placed next to the foundation wall to intercept water from.window
wells and from low areas near the building (see also 6);
(5) damp-proofing on wall- optional depending on the quality of the concrete wall;
(6) optional use of sheet drain, or synthetic filter blanket, next to the foundation wall to replace the soil filter
according to (4);
(7) foundation and backfill soils, which may contain fine-grained and erodible materials; and
(8) "topping-off' material sloping outward to lead off the surface water. It is usually desirable to use low
permeability soil to reduce the risk of overloading the pipe.
. .---'"
Frost Action 185
Frost Action
13 Frost Action
13.1 Introduction
The Canadian climate results in freezing of the near-surface ground for several months each winter almost
everywhere in Canada. The depth of seasonal frost penetration ranges from minimal to several meters, depending
upon local climate, soil conditions and snow cover. Ground freezing frequently results in volumetric expansion of
the soil which causes heaving of structures located above or adjacent to the freezing soil. Thaw during the following
spring will release the excess water, usually causing loss of strength or complete collapse of the soil structure. This
natural seasonal process can be very damaging to infrastructure, such as roads and buried pipelines, and may also
cause serious problems for buildings (Crawford, 1968; Penner and Crawford, 1983).
This chapter provides a description of the phenomenon of frost heave, its causes and a brief summary of current
predictive capabilities. Guidance is provided for simplified prediction offrost penetration and selection of mitigative
design measures. The comments are not intended to deal with structures on a permafrost foundation. A thorough
understanding ofthe nature and distribution offrozen soil is required to predict soil behaviour in permafrost regions.
The reader is referred to a comprehensive treatment of this more complex topic such as found in Brown (1970),
Andersland and Anderson (1978), Johnston (1981) and Andersland and Ladanyi (2004).
13.2 Ice Segregation in Freezing Soil
Water in soil pores begins to freeze as the temperature is lowered through OCC. Figure 13.1 illustrates the progressive
reduction ofunfrozen water content as the relative proportions of water and ice change at sub-zero temperatures for
sand, silt and clay. Continued formation of ice in the soil pores at progressively decreasing temperatures confines
the remaining water to progressively smaller pore spaces. A pressure differential between the ice and water phases
draws water from the unfrozen soil into the freezing soil. Fine-grained soils, which freeze over a broader range of
temperature, are particularly susceptible to moisture migration along a pressure gradient, resulting in growth of ice
lenses. The resulting heave rate and magnitude depend upon soil type, overburden pressure, groundwater conditions,
freezing rate, and other factors. The extent of ice lensing that can occur in a clay soil is illustrated in Figure 13.2.
Where restraint in the form of a building is present, heaving pressures develop that mayor may not be able to
overcome the restraint. Heaving pressures may be very high, depending upon the restraint offered by the surrounding
structure and soil; values equivalent to 1800 kPa were measured on a 300 mm diameter plate (Penner and Gold,
1971).
186 Canadian Foundation Engineering Manual
-1 -2 "':3 -4 -5
TEMPERA TURE ('C)
FIGURE 13.1 Unfrozen water contentfor a range offrozen soils (qfter Williams and Smith, 1989)
J
FIGURE 13.2 Sample offrozen clay showing ice segregation
Frost Action 187
The rate of heaving in a frost susceptible soil is limited by the rate of heat extraction from the freezing fringe
where water is migrating to feed growing ice lenses. This complex heat and moisture flow phenomenon is normally
uncoupled to simplify engineering predictions. Penetration of the freezing isothenn with time and temperature is
predicted first by ground thermal analyses without consideration to the impact of moisture redistribution and ice
lensing. The predicted extent of frost penetration and knowledge ofthe thermal gradients that exist within the frozen
soil are then used as inputs for prediction of heave magnitudes due to ice segregation.
Engineering methods for predicting ground thermal conditions and frost heave have evolved significantly in the past
decade such that practical solution techniques are now available. The remainder of this chapter summarizes current
practice in this evolving field together with some practical considerations for mitigating frost heave damage.
13.3 Prediction of Frost Heave Rate
13.3.1 Ice Segregation Models
Several hydrodynamic models have been developed to express the coupled heat and moisture ·flow that cause
frost heave. These models have been reviewed by Nixon (1987, 1991) to evaluate their applicability for practical
engineering predictions.
Ice lenses grow within the frozen fringe where the temperature is less than ODe (Miller, 1978). The temperature
of the growing ice lens is related to the overburden pressure (Konrad & Morgenstern, 1982). Ice also forms in the
larger pores between the active ice lens and the ODe isotherm, requiring water to flow through the fringe ofpartially
frozen soil to feed the growing lens. The rate of lens growth is dependent upon the finite hydraulic conductivity of
the partially frozen fringe and the rate of heat extraction at the ice lens. All hydrodynamic models therefore relate
the velocity of water through the freezing fringe to the temperature gradient, and to the permeability ofthe partially
frozen soil. The heave rate can be computed from the rate of change of the velocity of water in the frozen soil.
A practical method for predicting frost heave magnitude for geotechnical engineering applications was developed by
Konrad and Morgenstern (1980). Their semi-empirical formulation does not rely on measurement ofthe permeability
of frozen soils or other physical parameters that characterize the movement of water through the freezing fringe.
They relate the water velocity directly to the thermal gradient in the frozen soil. The constant of proportionality is
termed the segregation potential (SP). The SP parameter is dependent upon overburden pressure but is considered
to be independent of the rate of cooling in the freezing fringe at low cooling rates. The SP parameter must be
determined from a series of step temperature freezing tests carried out at various overburden pressures. The tests
must reasonably simulate the freezing rates or thermal gradients expected in the field.
The heave rate (dh/dt) under field conditions can be predicted from:
dh/dt = SP G
f
+ 0.09 n dX/dt (13.1)
where
SP is the segregation potential determined from freezing tests
G
is the thermal gradient in the frozen soil at the freezing fringe, determined from geothermal
f
simulations
dX/dt is the rate of advance of the frost front determined from geothermal simulations,
n is the soil porosity reduced to account for the percentage of in-situ porewater that remains frozen
within the anticipated range of ground temperatures.
A summary of published data relating the SP parameter to overburden pressure for various soils was presented by
Nixon (1987), and is shown in Figure 13.3.
...
--
188 Canadian Foundation Engineering Manual
---1
« LJl 200
[
Zo
w.,-
o...$J
o
50
<3 E
w E 20
lr
C)
W
(fl 10
lEDA
CALGARY SILTY
CLAY (CL)
o 50 100 150 200 250 300
EFFECTIVE STRESS (kPa)
FIGURE 13.3 Published segregation potential (SP) parameter data (after Nixon, 1987)
13.3.2 Frost Susceptibility
Frost susceptibility of soils refers to the propensity of the soil to grow ice lenses and heave during freezing. At
present, there are no precise criteria for classifying soils according to their frost susceptibility. A common guideline,
developed by Casagrande (1932) based on observation and experience, relates frost susceptibility of soils to the
percentage offine fraction less than 0.02 nun.
The Casagrande guide has been extended by the U.S. Corps of Engineers to a widely used classification system,
shown in Table 13.1. Soils are listed in four categories, F 1 to F4, in approximate increasing order offrost susceptibility
and loss of strength during thaw.
Where frost susceptibility and heave are critical parameters in foundation design, laboratory frost heave testing
should be carried out. There are no current standards for heave tests; thus, it is important to develop a test program
that meets the requirements of the project. This may range from simple confirmation of frost susceptibility and
heave rate to determination of specific parameters such as segregation potential (SP) that can be used in a frost
heave prediction model.
Frost heave tests are carried out in an insulated freezing cell where precise control can be maintained over
temperatures. A sub-zero temperature is applied to the upper or lower sample cap. The other end ofthe sample may
be uncontrolled, insulated or maintained at some positive temperature. The end temperatures might be controlled
either as a step temperature change or a time-dependant "ramped" temperature change. The ramped temperature
change is chosen if a near-constant freezing rate is desired. The volume of free water drawn into the sample at the
unfrozen end cap is measured with time and related to the volumetric increase or sample heave rate. An interpretation
of frost heave test data in terms of segregation potential is described by Konrad and Morgenstern (1981).
Frost Action 189
TABLE 13.1 u.s. Corps ofEngineers Frost Design Soil Classification
Fl Gravelly soils 3 to 10 GW, GP, GW-GM, GP-GM
F2 a) Gravelly soils 10 to 20 GM, GW-GM, GP-GM
b) Sands 3 to 15 SW, SP, SM, SW-SM, SP-SM
F3 a) Gravelly soils >20 GM,GC
b) Sands, except very fine silty sands >15 SM,SC
c) Clays, PI >12 CL,CR
F4 a) All silts ML,MR
b) Very fine silty sands >15 SM
c) Clays, PI <12 CL, CL-ML
d) Varved clays and other fined- CL and ML; CL, ML, and SM; CI, CR,
grained, banded sediments and ML; CL, CH, ML, and SM
13.3.3 SP from Soil Index Properties
A comprehensive study conducted by Komad (1999) established that the segregation potential parameter (SP) of
saturated fine-grained soils can be adequately related to a few basic soil index properties. For a soil freezing under
zero applied overburden pressure, a reference value of the segregation potential, SP0' is best empirically related to
the mean grain size of the fines fraction «0.075 nun), dso(FF), the specific surface area of the fines fraction, Ss' and
the ratio of water content to the liquid limit, W/WL as illustrated by Figure 13.4. For a ratio W/WL close to 0.7, the
empirical relationship for clayey silts is:
(13.2)
where dso(FF) is expressed in !lm.
In well-graded soils or gap-graded soils, SP is directly proportional to the relative fines content, i.e. the ratio of
actual fines and the amount of fines needed to fill a11 the pore space between the coarser-grained particles. Details
on a complete frost-susceptibility assessment methodology is given in Konrad (1999).
Frost susceptibility assessment was recently extended to non-clay soils such as tills and crushed rock by Konrad
(2005).
...
190 Canadian Foundation Engineering Manual
300
250
Oi 200
'"
<.)
'2...
'<t
E
E
150
'"
0
:s
(J)
'"
0
Q..
(J)
100
50
10
10
0_
3
.1
w/wL = 0.7 ± 0.1
o Rieke et aI., 1983
\
0.65 < w/wL < 0.8
-2
1
&W/WL> 0.7
• w/wL '" 0.7
&
\
1\0
\
\.
0
&
10
10-
1
dso(FF) (1J.lT1) .
\
"'1IJ
l'
r-
FIGURE 13.4 Frost susceptibility assessment was recently extended to
non-clay soils such as tills and crushed rock by Konrad (2005)
13.4 Frost Penetration Prediction
13.4.1 Ground Thermal Analyses
The dominant mechanism of heat transfer in soils is thermal conduction. Heat flow in the ground follows Fourier's
Law of conduction with a term to account for the release or absorption oflatent heat of water during phase change.
Heat transfer by mechanisms other than conduction may only be a factor in porous soils where groundwater
flow is occurring. Water velocities generally must exceed 10-
4
cm/s before convective heat flow starts to become
significant.
Analytical methods, or closed-form mathematical solutions of the well-known Laplace equation, can provide an
approximation of seasonal frost penetration for simple conditions. Prediction of transient ground temperature
changes for problems with complex stratigraphy and variable boundary conditions requires solution by numerical
methods. Numerical models in common use are either finite difference or finite element solutions. A comprehensive
review of numerical methods for ground thermal regime calculations has been provided by Goodrich (1982). Two
numerical models in common use in Canada are described by Nixon (1983) and by Hwang (1976).
Numerical methods are required for geotechnical design calculations other than simple prediction of the maximum
depth of frost penetration. The usual range of problems involves layered systems, temperature-dependent thermal
properties, and time-dependent boundary conditions such as ground surface heat exchange. A realistic simulation
of the temperature-dependent liberation or absorption oflatent heat during freezing or thawing, associated with the
changes in unfrozen water content shown in Figure 13.1, is also an essential feature in any numerical simulation.
Frost Action 191
Numerical methods are very flexible and can reasonably simulate geotechnical complexities in either one or two
dimensions. However, they require familiarity with an appropriate computer program and experience deriving input
parameters. The results are normally expressed as temperature isotherms on a two-dimensional plot for various
times of interest to the designer. The results can also be expressed as a propagation of the freezing isotherm with
time or as a transient thermal gradient which may be input to a subsequent prediction offrost heave in an uncoupled
analysis of heat and moisture flow.
13.4.2 Simplified Solutions for Maximum Frost Penetration Neglecting Frost Heave
Frost penetration is proportional to the square root of time for a step change in ground surface temperature. The
most useful form of the relationship is the modified Berggren equation as described by Aldrich (1956), Sanger
(1963) and Johnston (1981), and shown as Equation l3.3:
(13.3)
where
X depth of frost penetration
I
s
surface freezing index which can be estimated from the air freezine index times a ground
surface interface factor "n"
Thermal conductivity of the frozen soil
Volumetric latent heat of the soil
A dimensionless coefficient (Figure 13.8)
The surface freezing index expresses the average negative surface temperature and the time over which it applies.
The empirical n-factor can be used to determine surface freezing index from the air-freezing index. Published n-
factors for various types of surfaces are shown in Table 13.2. The air-freezing index is a summation of the daily
mean degree-days for the freezing period. A long-term mean (30 year) air freezing index can be estimated from
monthly mean air temperature data published by Environment Canada. Typical variation in air freezing index within
Canada is shown in Figure 13.5.
TABLE 13.2 Values ofn-Factorsfor Different Surfaces (from Johnston, 1981)
Surface type Freezing-n
Spruce trees, brush, moss over peat - soil surface 0.29 (under snow)
As above with trees cleared soil surface 0.25 (under snow)
Turf 0.5 (under snow)
Snow 1.0
Gravel
(most probable range)
0.6 1.0
(0.9 0.95)
Asphalt pavement 0.29 - 1.0 or greater
(most probable range) (0.9 - 0.95)
Concrete pavement 0.25 0.95
(most probable range) (0.7 -0.9)
192 Canadian Foundation Engineering Manual
Winter air temperatures vary substantially from year to year everywhere in Canada. Therefore, it is seldom
appropriate to use the long-tenn mean air-freezing index for design purposes.
Common practice is to choose some return period or recurrence interval and to estimate the most severe winter
likely to occur within that period. The US Corps of Engineers method, as described by Linell et aL (1963), is to use
either the most severe winter of the previous ten years or the average of the three most severe winters in the previous
30 years.
A simple relationship between design freezing index, taken as the coldest winter over the last lO-year period,
and mean freezing index was developed by Horn (1987) by curve fitting data for 20 cities across Canada. The
relationship is given as:
Id = 100 + 1.29 I (13.4)
In
Design Freezing Index (DC-days)
Mean Freezing Index (OC-days)
NOI!MAt fREEZING IHOO(
IN DEGREE DAYS (et!
SA$H) ON 1lf'. PERIOD 1m TO l'i61l
kltometen
100
CANADA
FIGURE 13.6 Thermal conductivity offrozen coarse-grained soil (after Kersten, 1949)
Frost Action 193
This relationship is recommended for the design air freezing index in the absence of an in-depth evaluation of
historical climate data. The surface freezing index for the modified Berggren equation then becomes:
(l3.S)
The thermal conductivity of soil can be estimated from relationships to soil index properties. The relationships
developed by Kersten (1949) for frozen coarse and fine-grained soils are shown in Figures 13.6 and 13.7, respectively.
Frost penetration depths based on Kersten's relationships for coarse-grained soils may under predict frost depth
significantly for unsaturated soils.
The thermal conductivity of coarse-grained soils is also dependent on soil mineralogy. The thermal conductivity of
quartz is about four times that of other common soil minerals. The Kersten correlation is only appropriate for sands
that have neither a very low nor a very high fraction of quartz particles. A more thorough treatment of soil thermal
properties and their variability with index properties and soil constituents has been provided by Farouki (1986). A
generalized thermal conductivity model for soils and construction materials is also provided by Cote and Konrad
(2005).
2. 2 __,---,I-----1--L-+
?
Vi 1.8
z
w
o
>-
a::
o 1.6
1.4 +--L.----+--r----.""---r'''--r''-_/_
o 5 10 15 20 25 30 35
MOISTURE CONTENT (%)
FIGURE 13.6 Thermal conductivity offrozen coarse-grained soil (after Kersten, 1949)
;;'
C\
C\
1.8 -j
1
..t 1.71
1.6 J
j
,
1.5
1.4
1,3,
I
1.2 -1
I
THERMAL CONDUCTIVITY
(W/m K)
1.1 --'T---"--/-
o 5 10 15 20 25 30 35 45 50
MOISTURE CONTENT (%)
FIGURE 13.7 Thermal conductivity offrozenfine grained soil (after Kersten, 1949)
....
194 Canadian Foundation Engineering Manual
The volumetric latent heat term of the soil (L
5
) can be estimated from the relationship:
(13.6)
where
Yd Is the dry unit weight of the soil
w Is the gravimetric water content of the soil expressed as a fraction
L Is the latent heat of fusion of water to ice which can be taken as 334 kJlkg.
The above relationship for latent heat of the soil, when used in the modified Berggren equation, assumes that all of
the water in the soil freezes at O°C. This will result in under prediction of the freezing depth in fine-grained soils
which freeze over a range of temperature, as described in Section 13.2. Alternatively, the volumetric latent heat
term can be corrected to account for unfrozen water using the relationships of Figure 13.1 if an average frozen soil
temperature can be estimated.
Lambda (A,) is a dimensionless coefficient that is a function of the temperature gradient, the volumetric latent heat of
the soil and the volumetric heat capacity ofthe soil. The coefficient can be determined from a relationship developed
by Sanger (1963) shown in Figure 13.8. The dimensionless parameters thermal ratio ~ ) and fusion parameter (11)
can be determined from: .
MAAT t
1
and
l
~ = - - -
!l = Lt
Is
where
MAAT Is the mean annual air temperature coq for the site determined from Canadian Climate Normals
t Is the duration of the freezing period (days)
I
s
Is the ground surface freezing index (OC-days)
C Is the volumetric heat capacity of the frozen soil
(13.7)
where
C
s
Is the specific heat of dry soil which can be taken as 0.71 kJlkg °C
C
i
Is the specific heat of ice which can be taken as 2.1 kJ/kg °C
W Is the gravimetric water content of the soil
For many practical field freezing situations, A, is close to unity. Omitting it from the freezing equation results in a
I-d
slight over prediction offrost depth.
"
Frost Action 195
1.0
0.9
0.8
I-
z
w
0.7
U
LL
LL
w 0.6
0
u
r<
0.5
0.4
0.3
0.01 0.1 1.0 10.0
FUSION PARAMETER, JL
FIGURE 13.8 Lambda ()J coefficientfor modified Berggren equation (after Sanger, 1963)
13.4.3 Frost Susceptible Soils
While frost depth in non-frost susceptible soils is readily estimated with the modified Berggren equation, the
calculation of frost depth in frost susceptible soils must account for the release of latent heat associated with the
formation of ice lenses.
An extension to Stefan's approach yields enough accuracy for practical considerations. Using the segregation
potential to quantify the rate ofice formation with Stefan's assumptions gives the modified Stefan equation (Konrad,
2000):
(13.8)
X=
-SP.L)Is
where
SP Is the value of the segregation potential in m
2
/s.oC
L Is the volumetric latent heat of water, i.e. 334 MJ/m
3
L
s
Is the latent heat of soil (Equation 13.6)
k
f
Is the thermal conductivity of the frozen soil from Kersten's relationship given in Figures 13.6
and 13.7
I
s
Is the ground surface freezing index (OC - days)
13.5 Frost Action and Foundations
The conventional approach for protection ofbuilding foundations against frost action is to locate shallow foundations
at a depth greater than the design depth of frost penetration. The modified Berggren equation, described in Section
13.4.2, may be used to determine the design depth of frost penetration. This procedure can be used to establish
the minimum depth of soil cover over an exterior footing. The depth of perimeter foundation walls for heated
structures may be reduced somewhat to account for heat loss from the bUilding. Alternatively, foundation depth
for protection against frost action may be specified in local building codes or is frequently determined by local
196 Canadian Foundation Engineering Manual
experience. However, caution should be exercised where a significant depth of the footing cover is comprised of
dry, coarse-grained soil as frost depths could exceed local experience.
13.5.1 Adfreezing
Soil in contact with shallow foundations can freeze to the foundation, developing a substantial adfreeze bond.
Backfill soil that is frost susceptible can heave and transmit uplift forces to the foundation. Spread footings normally
have sufficient uplift resistance from their expanded base to resist heave, but the structural design of the wall-
footing connection must be sufficient to transmit any load applied through adfreeze. Average adfreeze bond stresses,
determined from field experiments, typically range from 65 kPa for fine-grained soils frozen to wood or concrete to
100 kPa for fine-grained soils frozen to steel (Penner, 1974). Design adfreeze bonds for saturated gravel frozen to
steel piles can be estimated at 150 kPa (Penner and Goodrich, 1983). The most severe uplift conditions can occur
where frost penetrates through frost stable gravel fill into highly frost susceptible soils surrounding a foundation.
These conditions result in a heaving situation with maximum adfreeze bond stress and have been known to jack H-
piles driven to depths in the order of 13 m (Hayley, 1988).
It is good practice to backfill against foundations with non-frost susceptible soil. Provision should be made for
drainage around the foundation perimeter, below the maximum depth of frost penetration. The granular backfill
should be capped with less permeable soil and a surface grade provided to shed runoff before it enters the backfill.
13.5.2 Thermal Insulation
It may not always be feasible to place foundation-bearing surfaces below the design depth of frost penetration.
Conditions such as high groundwater level or particularly deep predicted frost penetration may make excavation
impractical. For these and other cases, thin soil cover may be supplemented with insulating materials. Rigid board
insulation, fabricated from extruded polystyrene, is the most common material for subsurface use. This closed
cell insulation is manufactured with high compressive strength and a smooth exterior skin to resist deterioration
by absorption of moisture. Polystyrene insulation deteriorates rapidly in the presence of hydrocarbons; therefore,
alternative materials should be used where the possibility of oil spills exist. A design methodology for insulated
foundations has been presented by Robinsky and Bespfiug (1973). Summaries of their design charts for heated
and unheated structures are shown in Figures 13.10 and 13.11, respectively. These charts can be used as a guide
for estimating the required thickness of insulation. However, actual design conditions should be checked using a
geothermal analysis of the type described in Section 13.4 .1.
Insulation sheets should be placed with minimum soil covers of 300 mm and extend at least 1.2 m out from the
building. Deeper placement is warranted in high traffic areas. A sheet of vertical insulation should be fastened to
the exterior wall above the horizontal insulation up to the insulated exterior wall. Common practice is to place the
required thickness of insulation in two layers with staggered joints and to increase the thickness by 50 to 100 percent
at the comers. The surface of the insulation should be sloped such that groundwater contacting the impervious
sheets is directed away from the building.
13.5.3 Other Design Considerations
Unheated or partially heated appurtenances to a primary structure are frequently the source of frost heave
displacements. Decks, porches and unheated garages often require insulation. Where these structures may be at
greater risk of frost heave, they should be separated from the primary structure.
Buildings without basements are often supported on cast-in-p1ace concrete piles with perimeter grade beams.
Perimeter concrete grade beams fonned and cast on the ground are particularly susceptible to damage by frost
action. Uplift forces that may develop under grade beams can be transmitted back to piles resulting in tension failure
if reinforcement is not provided. It is common practice to provide cardboard void formers below grade beams where
there is a risk of frost action. A minimum thickness of 100 mm is necessary, with greater thicknesses suggested
where conditions are anticipated to be severe. Synthetk insulation should not be used as a void former because of
Frost Actiol1 197
its high compressive strength. It is also common practice to make reinforcing in grade beams symmetrical on the top
and bottom such that some uplift load can be tolerated without risk of cracking. Tension reinforcement must then be
provided in cast-in-place concrete piles with adequate tie-in reinforcement at the connections.
SOIL CONDITIONS
E =-=-= SANDY
E 80
1"0=1.7 Mg/m
3
{<'_ -
MC=10% n Ii,V
J.-' ..r. (f)
(I') === SILTY OR CLAYEY ~ Y '),'2. \ I ~
/'
1"D=1.4 Mg/m
3
'V 60
~
u MC=30% if"\7 \ ~ rn
I
\J /' r:? L=,.......:-- - -
I-
~ ,<>v\J /,""'-
Z 40
o
i=
«
5
(f)
z
20
\ -;:::.\.
I..-
2 44
/
/ 'vh
/ \Jry1/ 'aLD
/ ~
L=1.22 m
o 400 800 1200 1600 2000 2400 2800
DESIGN FREEZING INDEX ('C - DAYS)
FIGURE 13.10 Design curves/or minimum insulation requirements/or heated structures
(adaptedfrom Robinsky and Bespflug, 1973)
13.6 Frost Action during Construction in Winter
Construction in winter is routine in Canada. Special care must be taken to prevent frost action affecting foundations
after construction and before heat is applied. Frost heaving and damage frequently occur on construction sites in
early winter before temporary heating begins.
13.6.1 Shallow Footings, Pile Caps and Crawl Spaces
Interior footings, which are often placed just below basement floors, are particularly vulnerable to frost action
beneath the footings even when straw is used as temporary insulation over the floor surface (Crocker, 1965). Under
these circumstances, basement floors may heave causing distortion of partitions or permanent structural damage.
Concrete pile caps cast on the ground surface are also vulnerable to frost heave during winter construction. Freezing
of supporting soils can lift caps relative to the piles resulting in undesirable deflections during construction as the
building load resets the cap. It is important, therefore, that foundations at shallow depths in buildings designed to be
heated be adequately protected during the construction period either by temporary heating or adequate insulation.
Buildings in which crawl spaces are provided between the foundation and the first floor level are also vulnerable to
frost action. Temporary heating is often only installed above the first floor for the sake of progress of the work and
the crawl space is forgotten. Temperatures drop to those prevailing outside and frost heaving occurs. The sample of
240
198 Canadian Foundation Engineering Manual
frozen soil shown in Figure 13.2 was obtained beneath the concrete raft of a seven storey building with crawl space,
which was heaved more than 50 mm during construction.
FILL
SOIL CONDITIONS
--SANDY
1
D
=1.7 Mg/m
3
MC=107-
- SILTY OR CLAYEY
1D=1.4 Mg/m
3
MC=30%
0-850
·C-DAYS
400 800 1200 1500 2000
DESIGN FREEZING INDEX ("C - DAYS)
,..........
E 20U
E
'-"
150
w
z
u 120
I
!-
Z
0
80
!-
«
....J
.::J
(f'l 40
850-2200 'C-DAYS
z
L - 2.44 m
Z = .300 mm
0
2400
0
FIGURE 13.11 Design curves for minimuminsuiation requirements for unheated structures
(adaptedfrom Robinsky and Bespjiug, 1973)
13.6.2 Excavation Walls and Supports
Dangerous conditions may develop in the walls of excavations supported by sheet piling or soldier pile and lagging
systems if they remain open without heating during winter construction. Cold air, being denser than warmer air,
flows into below ground openings and accelerates heat extraction from the soil behind the retaining structures.
The direction of heat flow under these conditions is primarily horizontal, producing a preferred ice lens growth
direction that is parallel to the walls. This can result in large outward pressures against the wall increasing the
loads transferred to the supporting members, which may lead to overstressing (Morgenstern and Sego, 1981). The
horizontal components of loads on anchors and rakers may increase considerably. Horizontal struts spanning from
wall to wall may be subjected to stress increases with contributions from both walls. Additional loads may develop
when struts expand from the heat of the sun.
The development ofpotentially dangerous conditions must be recognized and mitigative measures taken. Deflection
of walls and supporting systems should be monitored for early detection of potential stress increases associated
with frost action. This monitoring should be performed even where increased factors of safety have been used in the
design to accommodate the expected stress increases.
Where observations indicate that excessive heaving pressures are developing against the walls, appropriate steps
I
I
I
j
1
I
1
Frost Action 199
must be taken to prevent overstressing ofthe support systems. For anchored flexible walls, where inward movements
of 25 mm to 50 mm may be tolerable, stresses on the individual tiebacks may be reduced by "slacking off" on
the locking system. Other support systems, such as rakers and horizontal struts, are more difficult to adjust and
avoidance of excessive stresses may require a supply of heat to the walls to thaw frozen ground. Where subsurface
conditions are such that excessive frost action may be expected and where significant wall movements cannot be
tolerated, heating systems should be installed to prevent frost action from occurring.
200 Canadian Foundation Engineering Manual
Machine Foundations
14 Machine Foundations
14.1 Introduction
Geotechnical engineers encounter problems related to machine foundations when designing foundations for
machinery and vibrating equipment or designing foundations for vibration-sensitive equipment subjected to
vibrations from external sources. In both cases, the foundation design is usually governed by serviceability limit
states performance considerations, not strength requirements.
14.2 Design Objectives
The main objective of the foundation design for vibration-sensitive equipment is to limit the response amplitudes
to the specified tolerance in all vibration modes. The tolerance is usually set by the machine manufacturer to ensure
satisfactory performance of the machine and minimum disturbance for people working in its immediate vicinity.
The response of foundations subjected to dynamic loads depends on the type and geometry of the foundation, the
flexibility of the supporting ground and the type of dynamic loading.
The dynamic response analysis essentially involves the calculation of the vibration characteristics of the machine-
foundation-soil system (i.e. the natural frequencies and the vibration amplitudes due to all sources of vibration).
The required complexity of the response analysis depends on the type of the foundation system. For flexible
foundation systems (e.g tabletop or mat foundations), dynamic finite element analysis may be necessary. For rigid
foundations resting directly on the soil or supported by pile groups, simplified analytical and/or numerical methods
are commonly used and are given here.
14.3 Types of Dynamic Loads
14.3.1 Dynamic Loads Due to Machine Operation
A machine causes distinct dynamic forces depending on its manufacturing purpose and the type of motion the
machine parts describe, whether it is of a rotating, oscillating or an impacting nature. The machine dynamic forces
can be periodic, transient or random.
14.3.1.1 Periodic Loading
Rotating and reciprocating machines produce centrifugal periodic (harmonic) forces due to unbalanced rotors.
An unbalanced mass me rotating with an eccentricity e and circular velocity OJ produces a centrifugal force
P = me e ai. Examples of machines with predominantly rotating parts are fans, centrifugal separators, vibrators,
lathes, centrifugal pumps, electrical motors, turbines and generators. Arya et al. (1979) provide tables for typical
values of eccentricity for rotating machines and unbalanced forces and couples for different crank arrangements.
Oscillating parts of machines produce bi-harmonic inertia forces and centrifugal forces associated with the motion
Machine Foundations 201
of the piston, the flywheel and the crank mechanism. Examples of machines with predominately oscillating parts
are piston engines, reciprocating compressors and pumps, presses, crushing and screening machines. The machine
manufacturer usually specifies the characteristics of the dynamic force from reciprocating machines.
14.3.1.2
Transient Loading
Impacting parts of machines develop intermittent dynamic forces that are transient in nature. Transient loading
is characterized by a non-periodic time history of limited duration. The load time history could be smooth as the
one produced by hammer blows or more irregular similar to that generated by crushers and shredders. This type of
loading is represented either by an analytical expression or by a set of digital data.
14.3.1.3 Random Loading
Some machines such as mills, pumps and crushers produce fluctuating forces that are random in nature. A random
force and its effect is most meaningfully treated in statistical terms and its energy distribution with regard to
frequency is described by a power spectral density (power spectrum). Detailed information on dynamic loading is
given in Barkan (1962), Richart (1975) andArya et al. (1979).
14.3.2 Ground Transmitted Loading
In the case ofvibration-sensitive equipment, the vibration problems may stem from external sources such as ground-
transmitted vibrations from traffic, trains and blasting activities. Vibration criteria supplied by the manufacturer of
vibration-sensitive equipment are typically specified in terms of "floor vibrations." Before the facility is built,
though, floor vibration cannot be measured directly but, rather, must be predicted by analytical means. Seismic
excitation at the site due to ground-transmitted vibration could be, in many cases, an important factor for designing
the facility, or even in deciding whether or not it will be built. To assess the level of seismic excitation at the site due
to traffic, trains or blasting activities the ground vibration has to be monitored. Ground vibration is usually evaluated
in terms of ground acceleration measurements.
14.3.2.1 Vibration Monitoring Equipment
Components of the ground vibration monitoring equipment include sensors, mountings for the sensors, and data
acquisition systems. The monitoring system should be designed to provide the required sensitivity, minimize data
sampling errors, and achieve the robust performance necessary for the anticipated environmental conditions.
Sensors: ground accelerations can be measured using seismic accelerometers with appropriate sensitivity and
suitable operational temperature range. The mounted natural frequency of the sensor should be higher than the
maximum excitation frequency of interest to minimize measurement bias in the frequency range of interest.
Mounting arrangement: The sensors are usually mounted on especially designed posts. The posts should be rigid
and light. The length ofthe post should be smaller than the minimum wavelength of soil vibrations for the maximum
frequency of interest. It should also enable the simultaneous attachment of accelerometers in three mutually
orthogonal directions, with two oriented horizontally and the third vertically. The sensors must be protected from
interference from other factors such as wind, rain, snow and electromagnetic fields.
Data acquisition system: The digital data acquisition system should be compatible with the sensors used in
measuring the vibration. Proper analog filtering should be used to ensure that no frequency interference occurs.
The sampling frequency has to be higher than the highest frequency component of interest.
14.3.2.2 Representation of Ground-Transmitted Excitation
The ground-transmitted excitation can be represented as acceleration time history or in terms ofacceleration Fourier
transform. The time history will show the maximum acceleration experienced at the location ofthe foundation, while
-
202 Canadian Foundation Engineering Manual
the Fourier transfonn will show the frequency content and the distribution of excitation energy with frequency.
14.4 Types of Foundations
Machine foundations are designed as block foundations, wall foundations, mat foundations, or frame foundations.
Block foundations are solid blocks of concrete with sizable thickness, wall foundations are block foundations
with cavities, and mat foundations are foundations with a limited thickness compared to their surface dimensions.
Block foundations, the most common type, and wall foundations behave as rigid bodies. Mat foundations of small
depth may behave as elastic slabs. Sometimes the foundation features a joint slab supporting a few rigid blocks for
individual machines. The foundations can rest directly on soil (shallow foundations) or on piles (deep foundations).
The foundation type results in considerable differences in response.
14.5 Foundation Impedance Functions
The response of soils and foundations to dynamic excitation is frequency dependent and, thus, is a function of
the stiffness and damping parameters of the foundation. Therefore, the evaluation of the appropriate stiffness and
damping parameters (impedance functions) for the foundation soil or pilelsoil system is a step in the analysis.
The foundation block can be represented in the dynamic analysis as a lumped mass with a spring and dashpot. The
block has a mass, m, and is free to move in six directions, i.e., it has six degrees of freedom, three translational and
three rotationaL These are the displacements along the Cartesian axes x, y and z and rotation about the same axes.
The response of the mass depends on the spring and the dashpot that represents the supporting soil medium or pilei
soil system. The spring represents the elasticity of the soil and the dashpot represents damping caused by energy
dissipation. This section presents a general introduction to this subject and a summary of approaches and fonnulae
that can be used to evaluate the stiffness and damping of shallow and deep foundations.
14.5.1 Impedance Functions of Shallow Foundations
Shallow foundations are often idealized by a massless circular disc. For circular bases the complex stiffness K
j
(also. called the dynamic impedance function) associated with direction i is obtained by the detennination of the
relationship between a harmonic force acting on a massless disc resting on the surface of the halfspace and the
resulting displacement of the disc. This complex stiffness can be expressed in tenns of the true stiffness constant,
k
i
, and damping constant, c
i
' as
(14.1 )
in which is tr; static stiffness, a
o
=~ R = dimensionless frequency, R is the disc radius, Vs = =shear wave
s
velocity ofthe soil, G and pare the soil shear modulus and mass density, respectively, and k' and c'. are stiffness and
I I
damping constants nonnalized as follows: k! =5 , d = !s c.. In the case of an isotropic homogeneous halfspace
I k I k.R I '
I I
the approximate static stiffness constants for the vertical translation, v, horizontal translation (sliding), u, rocking, 'V,
and torsion, 11, are shown in Table 14.1, in which v is Poisson's ratio and G is the soil shear modulus. The constants
k/ and C/ are frequency-dependent and may be approximated using the treatment outlined by Wolf (1995):
2
f.1 Zo Vs 2 d' ( )
k;(ao)=l- rc RVao an ci ao R V
(14.2)
where V is the pertinent wave velocity as given in Table in which Vp is the dilational wave velocity
~ ~ 2 G 1-v. The other parameters are given in Table 14.2.
P 1-2v
J
-'
Machine Foundations 203
TABLE 14.1 Static Stijfrlesses ofa Disc Resting on the Surface ofa Homogeneous Haljspace
Vertical
4GR
k --
v
l-v
Horizontal Rocking Torsion
8GR
3
8GR
k k =-
\jf 3(1-v) u 2-v
TABLE 14.2 Parameters ofApproximate Solution for Footings Resting on Swface ofSoil Haljspace
Vertical Horizontal Rocking Torsion
R
4fF
. 1t
Hi
V Vp v::; 1/3 Vs Vp v::; 113 Vs
j 2Vs v 113 2Vs v> 1/3
ZoIRj 1t 9n
9n V
8 (2 -v)
n -(I-v) -
32
( r
32 V, 4 \v,J j
0 0 0 v ::; 113 0 v::; 113 )l
1.2(V -l.IP1oR 2.4(V
l)PAoR
\ 3/
v 1/3 v 2113
To account for the material damping, the stiffness and damping constants including the soil hysteretic damping, f3,
are given by
I 20 Vs I
and (a
o
) =-R-+-k;
(14.3)
V a
o
For shapes which differ from circular, the real noncircular base is replaced by an equivalent circular base with a
suitable radius. The radius of the equivalent circular foundation is usually determined by equating the areas of
the actual base (Ao) and equivalent base for vertical and horizontal translations, the moments of inertia (10) for
rotation in the vertical plane (rocking) and the polar moments of inertia (10) for torsion about the vertical axis. For
rectangular bases having dimensions a and b, the equivalent radii are given in Table 14.3.
TABLE 14.3 Equivalent Radii for a Rectangular Footing having Dimensions a and b
Vertical Horizontal Rocking Torsion
14.5.2 Embedment Effects
Embedment is known to increase both stiffness and damping but the increase in damping is more significant. The
response of embedded footings can be approximated by assuming that soil reactions acting on the base are equal
to those of a surface footing and the reactions acting on the footing sides are equal to those of an independent layer
overlying the halfspace (Figure 14.1). Novak and Beredugo (1972) and Beredugo and Novak (1972) used plane
.......
Q
204 Canadian Foundation Engineering Manual
strain solutions for side reactions and a halfspace solution for base reactions, and the notations in Figure 14.1 to
derive the stiffness and damping constants given in Table 14.4. The parameters C defining the base stiffuess and
damping and S defining the side stiffuess and damping in Table 14.4 are frequency dependent. However, it is often
sufficient to select suitable constant values to represent the parameters over a limited frequency range.
p
Separation
1
L
h
V Backfill '" co
sl
0
Os, Ps
Sl,21
Yc
I
DI
1
- Yc
6=D
Y-
-- C
12
Halfspace
,
R
,
2R 0, p, v
R
1
FIGURE 14.1 Notationsfor embeddedfoundation
TABLE 14.4 Stiffness and Damping Constants for Embedded Footings
Motion
Vertical R2 + S IiJP, G,)
v2 v2 p G
Torsional
Horizontal
Rocking
Coupling
- R2 JPG[ycC
u2
+
Machine Foundations 205
Such constant values are suggested in Table 14.5. The lack of confining pressure at the surface often leads to
separation of the soil from the foundation, which reduces the effectiveness of embedment. To account for the lack of
confining pressure at the surface which leads to separation of the soil from the foundation, an effective embedment
depth, D, smaller than the true one, may be used. An extensive set of tables and charts for stiffness and damping
constants of embedded footings of arbitrary shapes is given by Gazetas (1991).
TABLE 14.5 Stiffness and Damping Parameters (j3 0)
Motion
Vertical
Soil
Cohesive
Granular
Side Layer
I
i SVI =2.7
Svl =2.7
SV2 = 6.7
Sv2 = 6.7
Halfspace
C
VI
= 7.5
C
YI
= 5.2
C
v2
= 6.8
Co = 5.0
v.
Horizontal
Cohesive
Granular
SUI = 4.1
SUI
4.0
SU2 = 10.6
SU2 = 9.1
CUI = 5.1
CUi =4.7
C
U2
= 3.2
C
u2
2.8
Rocking
Torsion
Cohesive
Granular
Coh.&Gran.
S'I'I =2.5
S'I'1
2.5
STj1 = 10.2
S,v
2
= 1.8
S , 1.8
0/.
STj2 = 5.4
C'I'l =4.3
Co/I =3.3
C
lli
=4.3
C'I'2 = 0.7
C0/
2
0.5
CTj2 = 0.7
14.5.3 Impedance Functions of a Layer of Limited Thickness
The stiffness of a layer oflimited thickness is higher than that of a halfspace but its geometric damping decreases or
even vanishes ifthe excitation frequency is lower than the first natural frequency ofthe soil layer. For a homogeneous
soil layer, the first vertical and horizontal natural frequencies, CO and co ' respectively, are:
v u
OJ =1r Vs ~ 2 2 - v) and OJ = 1r ~ (14.4)
v 2H I-2v u 2H
The damping parameters at frequencies lower than COy and CO may be calculated by:
u
S 2/3 SUi and S =2/3 Svl (14.5)
u2 a v2 a
o 0
The stiffness and damping of a footing embedded in a layer of limited thickness, H, can be defined in a manner
similar to Eq. 14.1. However, the static stiffuesses, kv' of circular foundations may be given by (Elsabee and
Morray, 1977; Kausel and Ushijima, 1979):
4GR R .
%
kv - (1 + 1.28-)(1 + 0.470 )[1 + (0.85
0.280) D/ ]
(l4.6a)
I-v H
1 IH
- 8GR 1 R 2 5 D
(14.6b)
k =-(1+--)(1+-0)(1+--)
u 2 v 2H 3 4H
_ 8GR
3
1 R D
(l4.6c)
krp = 3(1- v) (1 +(5 H)(l + 20)(1 + 0.7 H)
«
206 Canadian Foundation Engineering Manual
k
llrp
=(0.48 - 0.03)R k/l (14.6d)
_ 16GR
3
(l4.6e)
k'l= 3 (1+2.678)
These empirical expressions for the stiffness are refel1"ed to the centre of the base and are valid for
0= D/R 5 1.5, D/H 5 0.75 and RJH 50.5. The dynamic stiffness and damping can be calculated taking k'and c'
equal to the halfspace functions (Equations 14.1-14.3). For frequencies below the first layer natural frequencies, it
would be safe to ignore geometric damping completely (first tenn and damping formula in Equation 14.3). Similar
formulae for foundations on shallow layer can be found in Gazetas (1991).
14.5.4 Trial Sizing of Shallow Foundations
The design of a shallow foundation for a centrifugal or reciprocating machine starts with trial dimensions of the
foundation block. The trial sizing is based on guidelines derived from past experience. The following guidelines
may be used for the trial sizing of the foundation block:
'I
,j
I
1. Generally, the base of the foundation should be above the groundwater table. It should be resting on
Ii
competent native soil (no backfill or vibration-sensitive soil).
I
2. The mass of the block should be 2 to 3 times the mass of the supported centrifugal machine, and 3 to 5 times
the supported reciprocating machine.
i'
3. The top of the block should be 0.3 m above the elevation of the finished fioor.
II
i
l
4. The thickness of the block should be the greatest of 0.6 m, the anchorage length of the anchor bolts and 1/5
!i
II
the least dimension of the footing.
5. The width should be 1 to 1.5 times the vertical distance from the base to the machine centerline to increase
! damping in rocking mode.
6. The length is estimated from the mass requirement and estimated thickness and width of the foundation.
The length should then be increased by 0.3 m for maintenance purposes.
7. The length and width of the foundation are adjusted so that the centre of gravity of the machine plus
equipment lies within 5 % of the foundation dimension in each direction, from the foundation centre of
gravity.
8. It is desirable to increase the embedded depth ofthe foundation to increase the damping and provide lateral
restraint as welL
9. If resonance is predicted from the dynamic analysis, increase or decrease the mass of the foundation
to change its natural frequency (try to undertune for rotating machines and overtune for reciprocating
machines).
14.6 Deep Foundations
The dynamic stiffness and damping of a pile group are affected by both the interaction between the piles and
surrounding soil, and the interaction between individual piles. Therefore, the calculation of the stiffness for a group
ofidentical piles may be performed in two steps. First, the stiffness ofthe single pile is calculated. Second, the group
effect is accounted for using "interaction factors."
14.6.1 Impedance Functions of Piles
The pile length, bending and axial stiffness, tip and head conditions, mass, batter and the surrounding soil properties
and their variation with depth and layering, affect the dynamic stiffness of a pile. The impedance functions of piles
can be described as
(14.7)
Machine Foundations 207
The stiffness constants, ki' and the constants of equivalent viscous damping, c
i
' for individual motions of the pile
head suggested by Novak (1974) are shown in Table 14.6.
TABLE 14.6 Stiffness and Damping Constants Jar Single Piles
Vertical
I
Horizontal Rocking Coupling
I
Torsion
EpA
kV=Rlvl
i EpI
. kll=ylul
EpI
kcp=RICPl
I
EpI GpJ
kc=yIcl c
ll
=v1111
s
EpA EpI EpI
E/
GpJ
c
li
R2V fUI
ccp=VfCP2 CC
RV fC2
cll =v1112
s s s s s
These constants are a function of the pile's elastic modulus, E cross-sectional area, A, and its moment of inertia
p
and torsional stiffness I and G/, respectively. R is the radius of circular piles and equivalent radius for non-circular
piles. The symbol in Table 14.6 represents dimensionless stiffness and damping functions whose subscript
1 indicates stiffness and 2 indicates damping. These functions depend on the following parameters: the relative
stiffness ofthe pile and soil, E/G; dimensionless frequency, a ; the slenderness ratio, LIR, in which L pile length;
o
material damping of both the soil and pile; the variation of soil and pile properties with depth; and the tip and
head conditions. However, E /G, the soil profile and, for the vertical direction, the tip condition have the strongest
p
effect on the stiffness. The stiffness and damping are given for a few basic cases in Table 14.7, for
horizontal response, for a dimensionless frequency, a = 0.3. For other cases, see Novak and E1 Sharnouby (1983) .
.
o
TABLE 14.7 Sti.ffoess and Damping Parameters ojHorizontal Response
(LiR > 25Jar homogeneous soil and LlR > 30Jar parabolic soil profile)
(Reproducedfrom Novak and El Sharnouby J983 with permission ojASCE)
1]
G
soil
Constant
with Depth
[
G
SOil
Varying
with Depth
(parabola)
to G,ol1
-0.0217 0.0021
1-0.0429 0.0061
0.25 -0.0668 0.0123
-0.0929 0.0210
250 i -0.1281 0.0358 i -0.1786
10000 0.2207 -0.0232 0.0047 0.0024 0.1634 -0.0358 0.0119
2500 0.3097 -0.0459 0.0132 0.0068 0.2224 -0.0692 0.0329
0.4 1000 0.3860 -0.0714 0.0261 0.0136 0.2677 -0.1052 0.0641
500 0.4547 -0.0991 0.0436 0.0231 0.3034 -0.1425 0.1054
250 0.5336 -0.1365 0.0726 0.0394 0.3377 -0.1896 0.1717
.10000 0.1800 i -0.0144 0.0019 0.0008 0.1450 -0.0252 0.0060
12500 0.2452 -0.0267 0.0047 0.0020 0.2025 -0.0484 0.0159
0.25 1000 0.3000 -0.0400 0.0086 0.0037 0.2499 -0.0737 0.0303
500 0.3489 -0.0543 0.0136 0.0059 0.2910 -0.1008 0.0491
250 0.4049
1-0.0734 0.0215 0.0094 0.3361 • -0.1370 i 0.0793
10000 0.1857 -0.0153 0.0020 0.0009 0.1508 -0.0271 0.0067
2500 0.2529 -0.0284 0.0051 0.0022 0.2101 -0.0519 0.0177
0.4
1000 0.3094 -0.0426 0.0094 0.0041 0.2589 -0.0790 0.0336
500 0.3596 -0.0577 0.0149 0.0065 0.3009 -0.1079 0.0544
250 0.4170 -0.0780 0.0236 0.0103 0.3468 -0.1461 0.0880
0.0060
0.0171
0.0339
0.0570
0.0957
0.0028
0.0076
0.0147
0.0241
0.0398
0.0031
0.0084
0.0163
0.0269
0.0443
"
208 Canadian Foundation Engineering Manual
14.6.2 Pile-Soil-Pile Interaction
When piles in a group are closely spaced, they interact with each other because the displacement ofone pile to
1
contribute to the displacement ofothers. To obtain anaccurate analysis ofdynamic behaviourofpilegroups itis
1
necessary to use asuitable computerprogram. However, asimplifiedapproximateanalysis, canbeformulated on
!
thebasisofinteractionfactors, a,introducedbyPoulos(1971)for staticanalysisandextendedtothedynamiccase
1
by Kaynia and Kausel (1982) who presented charts for dynamic interaction. For a homogeneous halfspace, the
I
interactionfactorsbetweentwopilesmaybegivenby (DobryandGazetas, 1988 andGazetasandMakris, 1991)
1
(l4.8a)
where
(14.8b) I
wherea anda areverticalandhorizontalinteractionfactors, respectively, Sid =pilespacingto diameterratio, 8
v u 1
istheanglebetweenthedirectionofloadactionandtheplaneinwhichpileslie, and V =theso-calledLysmer's 1
La
j
analogvelocity= 3.4v,. .
"
n(l-\!)
I
Tocalculatethedynamicstiffuessof apilegroupusingtheinteractionfactors approach,theimpedancefunctions of
singlepilesandtheinteractionfactors are calculatedfirst, thenthe group impedancefunctions are computed. The j
stiffnessanddampingconstantsofindividualpilesarecalculatedusingexpressionsgivenin Table 14.6orformulae
'I
I
,
1
duetoGazetas(1991).TheinteractionfactorsarecalculatedusingEquation14.8orchartsduetoKayniaandKausel
(1982). Theimpedancefunctions ofapilegroupof npilesarethengivenby
I
1
(14.9a)
I
i=1 )=1
1
(14.9b)
(14.9c)
(14.9d)
where ,KrG and KeG are the vertical, horizontal, rockingandcouplinggroup stiffness,respectively. In
Eq. 14.9 kv isthestaticvert!falstiffnessofthe singlepile, [e v] =[atl where a; = complex interaction factors
pilesi and}, = kv !Ky
,andKy isthecomplexverticalimpedancefunctionofthesinglepile. Similarly,
kh isthestatichorizontalstiffnessofthepile[e h] = where a;= complex interaction coefficients for the
horizontaltranslationsandrotations.Theformulation ofthe[a]h canbefoundinEINaggarandNovak(1995).
14.6.3 Trial Sizing of Piled Foundations
The designofadeepfoundation fora centrifugalorreciprocatingmachinestarts withtrial dimensions ofthepile
cap, andsizeandconfigurationofthepilegroup(StepNo.3in the designprocedure).Thetrialsizingis basedon
guidelinesderivedfrompastexperience.Thefollowingguidelinesmaybeusedfortrial sizingthepilecap:
1. Thepilecap(block)massshouldbe 1.5to2.5timesthemassof thecentrifugalmachineand2.5 to4times
themassof thereciprocatingmachine.
---'
Machine Foundations 209
2. The top of the cap should be 0.3 m above the elevation ofthe finished fioor.
3. The thickness of the block should be the greatest of 0.6 m, the anchorage length of the anchor bolts and 1/5
the least dimension of the block.
4. The width should be 1 to 1.5 times the vertical distance from the base to the machine centerline to increase
damping in rocking mode.
5. The length is estimated from the mass requirement and estimated thickness and width of the block. The
length should then be increased by 0.3 m for maintenance purposes.
6. The length and width of the block are adjusted so that the centre of gravity of the machine plus equipment
lies within 5 % of the block dimension in each direction, from the block centre of gravity.
7. It is desirable to increase the embedded depth of the foundation to increase the damping and provide lateral
restraint as well.
The following guidelines may be used for the trial configuration of the pile group:
1. The number and size of piles are selected such that the average static load per pile::;: Yz the pile design
load.
2. The piles are arranged so that the centroid of the pile group coincides with the centre of gravity of the
combined structure and machine.
3. If battered piles are used to provide lateral resistance (they are better than vertical piles in this aspect), the
batter should be away from the pile cap and should be symmetrical.
4. Ifpiers are used, enlarged bases are recommended.
5. Piles and piers must be properly anchored to the pile cap for adequate rigidity (as cormnonly assumed in the
analysis).
14.7 Evaluation of Soil Parameters
The soil parameters required for the dynamic analysis include the shear modulus, G, the material damping ratio, D,
Poisson's ratio, v, and mass density, p. Some of the procedures that can be used to evaluate these parameters are
given here.
14.7.1 Shear Modulus
The shear strains developed in the supporting soil medium due to the dynamic loading from machine foundations
are usually of a much smaller magnitude than the strains produces by static loading. The value of the soil shear
modulus at smaller strains is much higher than its value at larger strains. Therefore, the soil shear modulus used for
the computation of the foundation impedance functions should be evaluated for smaller strain laboratory field tests
(see Richart et aL 1975 for details on experimental procedures). In the absence of measured values, the correlations
in Table 14.8 can be used to evaluate the shear modulus.
14.7.2 Material Damping Ratio
Soil material damping is a measure of energy lost due to friction between soil particles during the dynamic loading.
Material damping ratio can be obtained from resonant column testing and the Spectral Analysis of Seismic Wave
procedure (SASW). The material damping is typically 0.03 to 0.05 for sand and saturated clay.
14.7.3 Poisson's Ratio and Soil Density
The dynamic behaviour of foundations is less sensitive to the values of v and p. Typical values for v are given in
Table 14.9. The soil mass density values should always be calculated from the total unit weight rather than the
buoyant unit weight. Total weights are used in dynamic problems because both the solid and liquid phases vibrate.
210 Canadian Foundation Engineering Manual
TABLE 14.8 Some Correlations for Soil Shear Modulus
Soil Type
Correlation
6908(2.17
e)2 *
(kPa) Sand (round-grained)
G
max
=
1+ e
3230(2.97 e)2 (j l/2
* (kPa)
Sand (angular-grained) G
max
=
I. (1968)
1+ e
°
Reference
Hardin and Black
(1968)
Hardin and Black
Sand
G 35000No.
34
(a )0.4 • (pst)
max 60 0
. Seed et al. (1986)
Clay (moderate
sensitivity)
G = 3230(2.97 e)2 (jol!2(OCR)K *. (kPa)
max l+e
Hardin and Dmevich
(1972)
. a = (Cf] +(j 2 +Cf
3
) = effective octahedral stress
o
•• OCR is over consolidation ratio and K = function of the soil plasticity index, PI, and is given by
PI (%) o 20 40 60 80 100
K o 0.18 0.3 0.410.48 0.5
TABLE 14.9 Typical Values ofSoil Poisson's Ratio
Soil Type
Saturated clay 0.45,.0.50
Unsaturated clay 0.35-0.45
Silt, Medium dense sand - Gravel
I
Dense sand - Gravel 0.4-0.5
14.8 Response to Harmonic Loading
The machine foundation can vibrate in any or all six possible modes due to the excitation 10aJ3.ing from the vibrating
machine it supports. For ease ofanalysis, some ofthese modes can be considered separately (e.g. vertical or torsional)
and design is carried out by considering the displacement due to these modes separately.
14.8.1 Response of Rigid Foundations in One Degree of Freedom
The response of the foundation in one degree of freedom (1 DOF) to a harmonic load with an amplitude, P, and
frequency ill, can be given by
(14.10)
we
where m, k and c are the mass, stiffness and damping of the foundation, and <l> The stiffness and
damping constants k and c are established as described in Sections 14.5 and 14.6 and are frequency dependent hence
the response has to be calculated using Equation 14.10. However, if they can be considered frequency independent
, Machine Foundations 211
in the frequency range of interest, Equation 14.10 can be rearranged and the real amplitude can be written as
P 1
v == vst £ (14.11)
k, [1 (:/],+4D'(:')'
in which the natural frequency, COo == kv , the damping ratio, D= v = the static displacement and f: Ji:;'
m 2 kv
m
kv sl
== dynamic amplification factor given by
1
E=
(14.12)
IDa "COO
For a harmonic excitation, the maximum displacement is given by
Vrnax
(14.13)
14.8.2 Coupled Response of Rigid Foundations
The coupled motion in the vertical plane represents an important case because it results from excitation by moments
and horizontal forces acting in the vertical plane. The horizontal sliding, u(t), and rocking, lfI(t), describe the coupled
motion. For a simple rectangular footing with dimensions a and b, the mass moment of inertia of the system is
m b
_1 (a
2
+ b
2
)+mJ (Ye __)2+
m2y
; (14.14)
12 2
where rnj is the mass of the footing, m
2
is the mass of the machine, Yc and Ym are distance from C.G. to foundation
base and machine centre of gravity, respectively. The stiffness constants, kuu' ku'l" and k'l''I' are described as the
stiffness 'constants for translation and rotation at the base of the footing, transformed to the Centre of Gravity of
the system, CG. If the stiffness constants referred to the centre of the base are ku and k", (calculated as described in
sections 14.5 or 14.6), the stiffuess constants referred to CG are
(14.15)
The response of the foundation system in the coupled motion to an excitation loading given by a horizontal force,
pet), and a moment, M(t) can be evaluated using the modal analysis. First, the natural frequencies and modes of free
vibration are i.e.
2
ID 1,2 (14.16)
With these two natural frequencies, w. 0 = 1,2), the two vibration modes are
1
u.
a . =_1
-k
UIJI
lr
'''\VIV
_/co
2
}
} "f}.
'Y
k mco
2
uu- j
k
-"IV
Then, the footing translation and rocking are
2 2
u(t) =Lqjujsm(cot+<j» and ",(t)= Lqj'" jSm(IDt+<j»
j:l j=l
(14.17)
(14.18)
212 Canadian Foundation Engineering Manual
in which q. and 4>. are
J J
-1 r2D/1) /i) 'j'
-tan 2 2 (14.19)
'- (0 j-(i)
PUj+lvf\v j' M
j
and D
j
= 2w 1 .
M
J J
If the damping in the system is small, the results from modal analysis are very close to the results obtained from the
direct approach.
14.8.3 Response of Rigid Foundations in Six Degrees of Freedom
When the rigid foundation is of general shape, the response is in six degrees-of-freedom, all of them, possibly,
coupled. The stifihess constants are described at the base of the footing, then transformed to the reference point,
Centre of Gravity CG. The stiffness and damping are described in terms of impedance functions KiF Considering
the dynamic equilibrium of forces and moments for the system will result in six linear algebraic equations that can
be solved for the vibration amplitudes.
14.9 Response to Impact Loading
Shock producing machines generate dynamic effects that differ from those of rotating machines and the design of
their foundations, therefore, requires special consideration. Different foundation arrangements are used to support
impact-producing machines. The foundation block is most often cast directly on soil. When the transmission of
vibration in the vicinity and adjoining facilities is of concern, the block may be supported on vibration isolating
elements.
14.9.1 Design Criteria
The design ofa hammer foundation must ensure satisfactory performance ofthe hammer and minimum disturbance
tothe environment. These objectives are met by limiting the vibration amplitudes, settlement, physiological effects.
and stresses to the given tolerances.
14.9.1.1 Performance Criteria
The manufacturer should specify the limits on the vibration amplitudes. The physiological effects are related to
vibration velocity and acceleration rather than displacement. The vibration velocity can be calculated approximately
as vm:::: vm(Oo where vm the maximum displacement and ruo = the natural frequency of the foundation. For data on
human perceptibility collected see Richart et al. (1970). Stresses in all parts of the foundation have to remain within
allowable limits. Dynamic stress is repetitive and fatigue effects have to be accounted for by using a factor of safety
greater than 3 in the design.
The adequacy of the mass for a hammer foundation is best proven by detailed analysis of stresses and amplitudes.
Some guidelines have been suggested for the preliminary choice of the weight of the foundation block. Assuming
the anvil weight 20 Go' where Go is the weight of the head, the weight of the block, G , can be estimated by
b
CO
= 75G
o
C )2 (14.20) G
b
C
r
where Co = the maximum velocity of the head and C =5.6 mis, (Rausch, 1950).
r
14.9.1.2 Vibration Effects on the Environment
Vibration propagates from the footing into the surroundings in the form of ground motion. The vertical amplitude of
the ground motion, v
r
' at a distance r from the foundation vertical axis can be evaluated approximately as
Machine Foundations 213
- fio -a("-ra)
VI" - Vo -e
(14.21)
r
where Vo footing amplitude, ro . the distance ofthe footing edge from its vertical axis and a empirical coefficient
ranges from 0 to 0.05 mi. The horizontal amplitude may be considered equal to the vertical one. The response of a
structure located near the hammer foundation can be predicted using the methods of structural dynamics.
14.9.2 Response of One Mass Foundation
When the anvil is rigidly mounted on the foundation block and the hammer blow does not act eccentrically, the
foundation response can be analysed using a one degree of freedom model. The response corresponding to initial
velocity of the system, , can be written as
(14.22)
where co' 0 =COo.Jl- D2 , D ~ The initial velocity of the system, C, can be obtained from the consideration
2",km
of the collision between the head and the foundation. The peak force transmitted into the ground is
+ (CCO
O
)2 and the peak stress is a F / Ab ' where v=peak displacement and Ab = the base area.
14.9.3 Response of Two Mass Foundation
When the anvil rests on an elastic pad, a hammer foundation should be considered as a two mass system. In this
model, m is the mass of the anvil and m is the mass of the footing; kl and c are the stiffness and damping constants
1 2 1
of the pad and k2 and c
2
are the stiffness and damping of the soil or piles supporting the footing. Stiffness and
damping of foundations can be evaluated using the approaches described in sections 14.5 and 14.6. The stiffness
and damping constants of a pad can be given by
EA
R kp
k ~ andc 2tJ - (14.23)
PdP Pro
o
where E ,A ,d, andp' are Young's modulus, area, thickness and material damping of the pad, respectively, and COo
= naturiI frbquency of the block calculated with k . With these values, the natural frequencies can be calculated as
p
(14.24)
The damped response can be evaluated using the approach developed by Novak and El-Hifnawy (1983).
14.10 Response to Ground-Transmitted Excitation
The basic response to harmonic loading in 1 DOF is given by Eq. 14.10. For ground-transmitted excitation, the
forcing function, pet), is given by {- mii(t) }where ii(t) is the absolute ground acceleration time history measured
at the location of the future foundation. In this case, there are two approaches to solve for the response of the
foundation. In the first approach, the Duhamel integral of ii(t) is used to calculate the relative displacement of the
foundation, i.e.
(14.25)
214 Canadian Foundation Engineering Manual
The response ofthe machine-foundation system is influenced by both its natural frequency and the frequency content
of loading. The traffic loading is transmitted to the foundation as a combination of seismic waves propagating in the
ground at different frequencies. Therefore, alternatively, a Fourier analysis can be used to calculate the response of
the foundation to the transient load in the frequency domain. In this type of analysis, the load is represented by the
sum of a series of harmonic components obtained by subjecting the load time history to a Fast Fourier Transform
(FFT). In the FFT, the forcing function is given at an even number, N, of equidistant points in the time domain, and
N/2 frequency components are obtained. Thus, increased accuracy can only be obtained by increasing the number
of data points.
The response of the system can be related to the loading by
(14.26)
where x
k
and w" are the amplitude and frequency of that harmonic component and H(w,) is the modulus of the
complex transfer function, H(w,,) given by
(14.27)
The principle of superposition gives the total response as 8(t) L8n (t).
j
i,1
1 ~
11
1
j
1
Foundations on Expansive Soils 215
Foundations on Expansive Soils
15 Foundations on Expansive Soils
15.1 Introduction
Expansive soils are defined as any soil that has the potential to undergo significant volume change as a result of
changes in water content. The magnitude of volume change considered to be significant is defined in terms of
the serviceability limit states performance of affected surface structures such as shallow foundations, utilities, or
roadways.
Light structures such as the house shown in Figure 15.1, are generally constructed with limited knowledge of the
soil conditions. However, the buildings often suffer subsequent distress because of volume changes (deformation)
in the soils below the structure.
Heaved walk
and step
Flat if telepost
adjusted correctly
Heaved lawn
FIGURE 15.1 Ground movements associated with the construction of
shallow footings on an expansive soil (Hamilton, 1977)
Vertical ground movements generally occur as a consequence of unloading associated with the excavation for the
basement of the house, or a change in the normal evaporation and evapotranspiration regime at the ground surface.
An example of structure distress can often be seen in floor slabs that are meant to function as "floating" slabs but
seldom 'float' (Figure 15.2). This is just one of many ways in which light structures suffer distress due to volume
changes in expansive soils.
216 Canadian Foundation Engineering Manual
FIGURE 15.2 Typical cracking pattern around a basement slab that was meant to peiform as a "floating slab"
Light structures most commonly experience distress associated with expansive soils; however, swelling pressures
of expansive soils can be high, causing movement to multi-story structures. Relatively short piles below a light
structure, along with a structural floor slab, provide a common solution to many expansive soils problems (Figure
15.3).
Heaved
pavement
Main floor
Extended active
zone
FIGURE 15.3 Illustration ofa short pile and structural floor slab below a light structure such as a house
The potential for a soil to be expansive is largely controlled by the mineralogy and percentage of the clay-size
fraction, while changes in water content are also dependent upon changes in environmental conditions at the ground
surface. Environmental conditions result in the wetting and/or drying of the soil in response to moisture transfers
across the soil-atmosphere boundary.
Foundations on Expansive Soils 217
Changes in the water content in the soil may be the result of natural causes such as climatic fluctuations or the result
of human activity such as surface irrigation, runoff from paved areas or leakage from buried utilities.
Expansive soils problems are encountered in almost every country of the world and have been found to be extremely
costly to accommodate fully in original design or remedial design. Expansive soils have been referred to as the 'hidden
disaster' in the United States and cause more damage to structures, (particularly light buildings and pavements), than
all other natural hazards including earthquakes and floods (Jones and Holtz, 1973). It has been estimated that the
average annual losses due to structural distress associated with expansive soils in the United States is in the order
of $7 billion (Krohn and Slosson, 1980). While the amount of damage in Canada may be considerably less, it is still
substantial (Fredlund, 1979).
Problems related to structures on expansive soils are accentuated since structures incurring the most damage have
generally had the least engineering design prior to construction. Engineers are often reluctant to become involved
in the study of expansive soils problems because the consulting fees are generally small relative to the potential
risk of litigation. There is need to establish accepted standard ofpractice or "protocol" for geotechnical engineering
practice as it relates to expansive soils.
This chapter in the Canadian Foundation Manual does not provide a complete description and analysis ofproblems
related to the behavior of expansive soils. Rather, the goal of this chapter is simply to provide infonnation on
factors controlling heave in expansive soils and to present an outline of a simple method based on one-dimensional
oedometer test results, to estimate the magnitude of potential heave.
There are several important questions that need to be addressed in order to evaluate the impact that an expansive
soil may have on foundation performance:
How can a potentially expansive soil be identified? (i.e., soil characterization).
What environmental conditions can cause changes in water content in an expansive soil? (i.e., environment
characterization).
What methods can be used to predict the magnitude of volume change or heave that might be experienced
subsequent to completion of construction? (Le., predictive model),
• What design and remedial measures can be taken to minimize damage to light engineered structures? (i.e.,
design methods).
The first two questions focus primarily on the identification and characterization of expansive soils. These methods
are described in Section 15.2. The next question shows that there is need to have a predictive method based O,n an
appropriate theoretical framework to relate changes in void ratio to changes in stress state. This predictive method
, is outlined in Section 15.3. The final section of this chapter provides a general discussion of issues related to
foundation design and remediation measures that can be taken when dealing with expansive soils.
15.2 Identification and Characterization of Expansive Soils
The geographic regions in Canada where expansive soils problems may occur can be delineated by first identifying
those areas containing soils with the prerequisite mineralogy and lithology (Quigley, 1980). Secondly, the climatic
conditions must lend themselves to the potential for large changes in water content. Expansive soils are comprised
of clay soils that contain a significant fraction of active clay minerals. Glacial and post-glacial processes laid down
most of the clay-rich deposits of concern in the construction and performance of surface structures in Canada.
These clay-rich soils are found either in glacial lacustrine deposits or in glacial tills (Figure 15.4).
~ ~
218 Canadian Foundation Engineering Manual
,.. EXISTING GLACIERS
MARINE OVERl..AP
.. FRESHWATER GLAC!AL
I..AKES
o 1000
FIGURE 15.4 Distribution ofmarine andfreshwater glacial andpostglacial lakes of Canada (Quigley, 1980)
Many of the lacustrine deposits in Eastern Canada have illite or chlorite mica as the dominant minerals. Soils
consisting of these minerals are generally considered to be non-swelling, although there may be large shrinkage
upon drying if the initial void ratios are high. The Champlain Sea (or Leda) clays of the Ottawa Valley and St.
Lawrence Lowlands are one of a number of such clays. In the Western provinces, the montmorillonite shales from
Cretaceous formations in the Interior Plains provide the active clay minerals that give rise to expansive soils.
Most of these deposits are found in lacustrine clay deposits that were once large glacial lakes. The clay deposits
surrounding Lake Agazziz near Winnipeg and Lake Regina near Regina are examples of these deposits.
The natural environment, as well as anthropogenic changes in the environment, can produce significant changes
in the water content of the surficial soils. In the more humid parts of Canada, clays sensitive to shrinkage have not
previously been SUbjected to drying to the extent now occurring as a result of construction and the introduction of
non-native vegetation. The surficial clays in Western Canada have historically been subjected to arid or semi-arid
climatic conditions. The development of surface structures, such as light residential housing, inevitably leads to a
change in moisture fluxes across the ground surface as the result of irrigation, leakage from underground utilities,
or vegetation.
A general description of the soil and environmental conditions that can lead to significant volume changes in
the near-ground-surface soils are described in the next section. This information can be used for the preliminary
identificatiop of potentially expansive soils areas. This is followed by a description of how to measure appropriate
soil properties for use in a heave analyses, as described in Section 15.3.1.
15.2.1 Identification of Expansive Soils: Clay Fraction, Mineralogy, Atterberg Limits,
Cation Exchange Capacity
A potentially expansive soil contains a relatively high percentage of highly active clay minerals. The expansion of
the diftUse double layers within the clay fraction results in changes in water content. Methods of identifying the key
features ofpotentially expansive soils are described in this section.
Standard hydrometer analyses can be used to identify the 'clay-sized' fraction that is less than two microns in
diameter (ASTM D-422). However, not all particles of this size fraction are clay minerals. It is recommended that
Foundations on Expansive Soils 219
the mineralogy of the 'clay fraction' be measured. The most common method ofidentif)dng and quantifying the clay
mineralogy is from an X-ray diffraction analyses. All of the clay mineral types are in close proximity on the X-ray
trace and consequently it is important to use the correct opening for the X-rays, (i.e., a narrow slit), along with a
qualified technician when interpreting the test results. Of primary importance is the quantification ofthe amount of
montmorillonite (or Smectite) clay mineral in the clay fraction of the soil sample.
The Atterberg Limits, (i.e., Plastic Limit, Liquid Limit, and Shrinkage Limit), can be measured as part of a
geotechnical investigation. The difference between the Plastic Limit and Liquid Limit is referred to as the Plasticity
Index. The Plasticity Index is related to the percentage of clay-sized particles and the mineralogy of the clay-sized
particles.
Van der Merwe (1964) provided a correlation between the Plasticity Index, the percent of clay-sized particles, and
the potential for swelling as shown in Figure 15.5. Swelling potential ranged from low to very high. The highest
potential for swelling occurred when the soil had a high percentage of clay-sized particles and a high Plasticity
Index. A soil can be described as having a high potential for swelling but the expansiveness of the soil will only be
revealed when the initial water content of the soil is low.
70
60
(I)
0..
E
til
50
(f)
(I)
75
.s:: 40
;::
0
-
x 30
(I)
'-0
.!:
>. 20
.....
'u
:;:::;
(f)
til
10
0..
o
I
Very High
/
High
V
./"
MediuV
-'" Low
o 10 20 30 40 50 60 70
Clay fraction of whole sample, (%<2u)
FIGURE 15.5 Classification ofpotential severity ofan expansive soil based
on the plasticity andpercent clay-sized particles (van de Merwe, 1964)
A useful index that can be computed from the Plasticity Index and the percentage of clay fraction (%clay) is the
Soil Activity CAc):
Ac Plasticity Index / (%clay) (15.1)
Skempton (1953) classified clays as 'inactive' whenAc was less than 0.75; 'normal' whenAc was between 0.75 and
1.25 and 'active' when Ac was greater than 1.25. It is clays in the 'active' range that cause the greatest difficulty with
respect to swelling (and shrinking). Nelson and Miller (1992) listed typical values for the Activity of various clay
minerals: kaolinite, 0.33 to 0.46; illite, 0.9; Ca-montmorillonite, 1.5; Na-montmorillonite, 7.2. Figure 15.6 uses the
Activity of the soil and the percent clay-sized particles to classify the potential for swelling of compacted clays
(Seed et al, 1962). The amount of swelling that can be anticipated with clayey soils can range from less than 1.5 %
to more than 25 % depending upon the activity of the soil and the amount of clay-sized particles.
i
220 Canadian Foundation Engineering Manual
4
2
Swelling Potential; 25%
____Swelling Polenlial = 5%
oL-_________________________
o 10 20 30 40 50 60 70 80 90 1 00
Percent clay sizes (Finer than 0.002 mm)
FIGURE 15.6 Classification ofpotential swell for compacted clays based on the
Activity ofthe soil (Seed et aI, 1962)
Table 15.1 wasfirstproposedbyHoltzandGibbs(1956) andrelatescolloidalcontent(wherecolloids are defined
to be particles lessthan 0.001 mmindiameter),PlasticityIndexandShrinkageLimitto thepotential forvolume
change.Thetableseparatessoilsintolow,medium,highandveryhighcategoriesof'potentialforexpansion'.This
tableis notmeantto be usedas abasisforpredictingheave, butratherto provideapreliminaryassessmentofthe
potentialforvolumechange.It isusefultoaugmentthetablewithobservationsfrom localexperience.
TABLE 15.1 Potentialfor Expansion as Estimatedfrom Classification Test Data *
10- 20
Low < 10 < 15
10-16
> 15
* AfterHoltzandGibbs (1956).
** Drytosaturatedconditions- underasurchargeof6.9 kPa(1 psi).
*** Particleslessthan0.001 mmindiameter
Figure 15.7 illustrates the generalpatternofpercentswell for a compacted, highlyplastic soil (Holtz and Gibbs,
1956).Whiletheamountof swellingmayvaryfromonesoiltoanother,thepatternof totalswelluponwettingfrom
variousdensityandwatercontentconditionsshouldshowthesametrend. Theresults illustratethatcompactionof
asoilatahigh densityincreasesthe amountofswellinguponwetting. Also, compactionatwatercontents above
optimumwatercontent,resultsinreducedamountsofswellinguponwetting.
--'"
Foundations on Expansive Soils 221
2000
1800
'"
-
E
-...
0)
.:x:
--:g 1600
a::
.?E-
. iii
c
Ql
"0
1400
"0
:5
1200
1000
10 15 20 25 30 35 40
'\ I I I
- Volume change - percent
Surcharge load =7 kPa
I I
Saturation curve
(Gs ==2.749
1
) I
ir Standard AASHTO
i curv
o
10o,y I " "
VI "
/ I \' .", "'I:
/ ·6% I \ \ "-
"I' I ,\'
",..,,1
I
, "-
4%
\
" .... I
\ '0%
....
."
2°/;
I "-
- --
"
.,,'" j%
"-
"
-_ ...
."
"
"
-
---- -----
Initial water content, Wo (%)
FIGURE 15.7 Pattern ofpercent swell for a soil compacted at various water contents
and densities (Holtz and Gibbs, 1956)
Cation Exchange Capacity, CEC, is a measurement of the quantity of positively charged dissolved ions required
to satisfy the negative charge imbalance on the surface of clay particles, and is commonly quoted in terms of
millieqivalents per 100 grams of dry soil (Mitchell, 1993).
CEC is related to clay mineralogy and the amount ofclay-sized particles present in the colloidal fraction. High values
of CEC mean that there is a high surface activity in the clay fraction and consequently a greater potential for volume
change. CEC measurements are routinely available in most agriculture soil testing laboratories. Typical values in
meqllOOg of soil, for the three basic clay minerals are; kaolinite = 3 to 15; illite = 10 to 40; and montmorillonite
(smectite) = 80 to 150 (Mitchell, 1993).
For a soil with a given CEC, the potential expansion during wetting can also be affected by the valance ofthe cation
adsorbed on the exchangeable sites as well as the chemistry of the pore-fluid. Most agriculture soils laboratories
can measure the chemistry of the salts present in the clay using a 'saturation extraction' technique (Klute, 1986).
This involves adding water to a dry soil until free water is observed to form on the clays. The sample is then
centrifuged and the chemistry of the 'extract' is measured. The greatest potential expansion will occur when the
adsorbed cations are monovalent (e.g., Na+) and when the pore-fluid is dilute. The presence of divalent cations and
concentrated solutions can cause volume change due to swelling to be suppressed (Mitchell, 1993).
A soil property called the coefficient oflinear extensibility, or COLE, has been routinely measured by the U.S. Soil
Conservation Service, National Soil Survey Laboratory in the United States. The test measures the lineal strain of
an undisturbed, unconfined specimen when it is dried from one-third of an atmosphere of suction (i.e., 33 kPa), to
oven-dried conditions. The specimens are brought to equilibrium at one-third of an atmosphere and coated with a
flexible plastic resin. The COLE value of many soils has been related to the swelling properties of soils and has
been quite extensively used in the United States (McKeen and Neilsen, 1978; McKeen and Hamberg, 1981; Nelson
and Miller, 1992).
222 Canadian Foundation Engineering Manual
15.2.2 Environmental Conditions
Expansive soils are generally clay-rich sediments deposited in glacio-lacustrine lakes that have undergone
extensive drying since deposition. The drying is the result of evaporation from the soil surface and transpiration by
vegetation. The soils must be located in an environmental condition in which potential evapotranspiration exceeds
precipitation.
A useful index to quantify soil moisture deficiency was developed by Thornthwaite (1948) and is called the
Thornthwaite Moisture Index (TMI). The TMI categorizes climate primarily on the average precipitation conditions
and potential evaporation conditions. Negative values for the TMI indicate that the climate is arid, and consequently,
expansive soil may undergo significant seasonal swelling upon wetting (O'Neill and Poonnoayed, 1980). The
climate categories and the associated dimensionless Thornthwaite Moisture Indices are shown in Table 15.2.
TABLE 15.2 Climate Classification According to the Thornthwaite Moisture Index (1948)
j
Climate Classification
Extremely Humid >+40
Humid +20 to +40
Sub-humid oto +20
Semi-arid -20 to-40
Arid < -40
1
!
I
I
Computational methods that more accurately compute the actual evapotranspiration from the ground surface have I
been developed (Wilson et aI, 1991), The analysis involves the solution of a coupled heat and moisture mass
transport model. The model has been applied to specific sites (e.g., for soil-cover designs) as opposed to being used
to develop climatic maps.
15.2.3 Laboratory Test Methods
The one-dimensional oedometer (i.e., consolidation apparatus) has been used in many countries ofthe world to test
and obtain physical soil properties for expansive soils. The objective ofthe laboratory test is to assess the in situ stress
conditions and measure soil properties that can be used for the prediction ofvertical heave (Fredlund and Rahardjo,
1993). Although the consolidation test was originally developed as a laboratory simulation of compressible soft
clays, it can be also be used to provide valuable information on expansive soils. There are numerous test procedures
that have been proposed in the literature but the two most common tests are the Constant Volume swell test (CV
test), and the Free Swell test, (FS test). The test procedures for both ofthese tests can be found in ASTM designation
D- 4546-90. Both tests are conducted in a manner similar to a consolidation test with the primary difference related
to the procedure for the setup and the commencement of the test.
15.2.3.1 Constant Volume Swell Test Procedure
The Constant Volume swell test is conducted on an undisturbed soil specimen that is trimmed into a consolidation
ring. The specimen is placed in the oedometer and seated under a nominal load. The specimen is then inundated
with water and as it attempts to swell, the load on the specimen is increased to prevent any volume increase or
swelling. When the specimen no longer exhibits a tendency to swell, the applied load is further increased in a series
of increments in a manner similar to that of a conventional consolidation test. Once the recompression branch or the
'virgin' branch ofthe consolidation curve has been established, the specimen is unloaded in a series of decrements in
order to establish the swelling index. The loading decrements are usually twice as large as the loading increments.
The Constant Volume swell test provides two important measurements that are required for predicting heave; namely,
Foundations on Expansive Soils 223
estimate of the swelling P" (or mO.re. the corrected swelling pressure, P:) and the swelling
mdex, C
s
' Although the swellmg pressure of a SOlllS sometImes construed to be a soil property, the swelling pressure
is more conectly a measure of the in-situ stress state of the expansive soil. The undisturbed soil sample was taken
from its in-situ condition where it was subjected to the overburden stress (total stress). As well, the soil was subjected
to the effect of negative pore-water pressures (or matric suction). The total stress and matric suction combine on the
total stress plane to provide an indication of the initial state of stress in a soil. If the change in stress state is known
along with the swelling index, the volume change associated with stress state changes can be computed.
Consider the stress path followed in the laboratory when a soil specimen is tested using the Constant Volume test
procedure subsequent to sampling (Figure 15.8). Once the soil specimen is submerged in water, the specimen
attempts to swell while the matnc suction is dissipated. However, the total stress on the specimen is increased to
keep the specimen from increasing in volume. Gradually, the matnc suction within the soil specimen is reduced to
zero and the volume of the specimen has been maintained constant by the increase in the total stress. Figure 15.8
shows that the swelling pressure represents the sum ofthe in-situ overburden stress and the matric suction of the soil
translated onto the total stress plane. As such, the swelling pressure is dependent upon the in-situ matric suction.
'"
6
"" f!
'0
'(Ua - UW)in'ilU.... • Token load
Ideal stress - deformation path
Actual stress - deformaUon path
1 P, (uncorrected swelling pressure)
P', (corrected M t· ct' ( )
swelling a nc su lon, u. - Uw
pressure) "if
« " '-S'
).
,,<!- 4>'
,;;,,,>0v • Assume nO volume change
tJ> g; dUring sampling
«-" <f).f"
FIGURE 15.8 Ideal and actual stress state versus void ratio path/ollowed
when performing a one-dimensional oedometer test
The measured swelling pressure will, however, be under-estimated unless the effect of "sampling disturbance" and
"apparatus compressibility" are taken into account (Fredlund, 1969). The interpretation of the Constant Volume
swell test must include a correction for the compressibility of the consolidation apparatus, the compressibility of
filter paper (if filter paper was used during the test), and the seating of the porous stones and the soil specimen.
Desiccated swelling soils have a low compressibility and the compressibility of the apparatus can substantially
affect the measurement of the swelling pressure as well as the slope of the rebound curve (Le., swelling index).
The compressibility correction can be measured by substituting a steel plug for the soil specimen and measuring
deflections accruing to the apparatus under each load increment. This correction is relatively consistent for a
particular consolidometer and its accessories. It is recommended that filter paper not be placed above and below the
soil specimen because of the magnitude of its compressibility. Figure 15.9 illustrates data from a Constant Volume
swell test, with and without a correction applied for compressibility.
Sampling disturbance will result in a measured swelling pressure that is lower than the in-situ value. (This
phenomenon is similar to the observed effect of "sampling disturbance" on the measurement of preconsolidation
pressure in a consolidation test on soft clays.) In the oedometer test, it is not possible for the soil specimen to return
to its precise in-situ stress state after sampling without displaying some curvature on the void ratio versus effective
stress plot (i.e., when going from the swelling pressure to the recompression curve or onto the virgin compression
224 Canadian Foundation Engineering Manual
curve). The procedure for determining the 'corrected swelling pressure' begins by correcting the laboratory data to
account for compressibility of the apparatus. The correction for 'sampling disturbance' is then applied in order
to establish the "corrected swelling pressure."
Uncorrected
Sketched
Swelling
Connecting
Pressure, P,
Portion
Test data adjusted
for oedometer compressibility
Unadjusted test data
Compressibility of
oedometer
Log (0' - u,)
FIGURE 15.9 Adjustment ofone-dimensional oedometer laboratory test data to
account for the compressibility ofthe apparatus (Fredlund, 1983)
In 1936, Casagrande proposed an empirical construction that could be applied to saturated compressible soils in
order to determine more accurately the preconsolidation pressure. The empirical construction was, in essence, a
means to compensate for the effects of 'sampling disturbance.' A similar procedure to account for the effect of
"sampling disturbance" on the swelling pressure was proposed by Fredlund (1987) and is illustrated in Figure 15.10.
The slope of the rebound curve is used as part of the empirical construction procedure (rather than the slope of the
virgin compression curve). The final plot ofvoid ratio versus logarithm oftotal stress gives the plot shown in Figure
15.10.
Corrected
swelling
pressure, P's
-'- eo -'-'f__ stress state)
Lie
Uncorrected
swelling
curve
)
FIGURE 15.10 Constant Volume swell test results showing the empirical procedure to correct
the "swelling pressure" for the effect ofsampling disturbance (Fredlund, 1987)
Foundations on Expansive Soils 225
The "corrected swelling pressure," P:, is estimated as shown and the swelling index, C" is obtained from the slope
of the rebound curve. The 'corrected swelling pressure' and the swelling index are used as input data to the heave
analyses.
15.2.3.2 Free Swell Test Procedure
The preparation of the soil specimen for the Free Swell test is similar to that described for the Constant Volume
test. Once the soil specimen has been prepared, a token load is applied to the specimen. Water is then added to
the oedometer pot and the specimen is allowed to swell freely until an equilibrium condition is attained. The soil
specimen is then loaded by doubling the load on the specimen and allowing equilibrium to be attained under each
applied load. Using this test procedure, the swelling pressure is defined as the load required for the void ratio
to return to its original value as shown in Figure 15.11. It is not necessary to apply a 'correction' for sampling
disturbance when using this test procedure. The effects of sampling disturbance are taken into account through
the test procedure. The swelling pressure measured from the Free Swell test and the 'corrected swelling pressure'
obtained from the Constant Volume test are generally quite similar (Fredlund, 1983).
Swelling
pressure
FIGURE 15.11 Typical plot ofdata from a Free Swell oedometer test on an expansive soil
15.3 Unsaturated Soil Theory and Heave Analyses
The volume change experienced in an expansive soil should be understood in terms of the changes occurring in
the stress state of the soiL In other words, it is better to describe the expansion (or shrinkage) of a soil in terms of
changes in the stress state rather than in terms of water content.
When a soil becomes unsaturated it is necessary to use two independent stress state tensors to define the complete
stress state of the soil (Fredlund and Morgenstern, 1977). These two stress tensors are referred to as the "net
normal" stress tensor and the 'matric suction' tensor, and are defined as follows:
226 Canadian Foundation Engineering Manual
1: xy
l(cr, -u.)
1: yx
(cr y u
a
)
'" ]
1:zx
1:
zy
(crz-u
a
)
and
l(Uo-U
w
)
(ua-u
w
)
(15.2)
(u
o
-uJ
where:
0 ' 0 , ° total normal stresses in the X-, y-, and z- directions, respectively,
x y
't , 't ' 'tzx = shear stresses in the X-, y-, and z- planes, respectively,
xy yz
U
w
=pore-water pressure, and
un =pore-air pressure.
Matric suction is defined as the difference between the pore-air pressure and the pore-water pressure, (i.e., (u
a
u ))' Changes in the environment (e.g., rainfall on the ground surface or evaporation of moisture from the ground
w
surface), produce Ii change in the matric suction in the soil, with time. In other words, the matric suction tensor is
changed. Likewise, changes brought about by construction (e.g., excavation of soil or the placement offill), cause
changes in the net normal stress tensor. Independent soil properties are associated with each ofthe two stress tensors
and consequently the stress tensors must be handled in an independent manner.
The osmotic component of soil suction does not need to be taken into consideration unless the salt content of the
soil is specifically ,changed in the problem under consideration. In general, this is not necessary because changes in
the salt content in the laboratory and in-situ are similar.
In an expansive soil, the volume of the soil increases as a result of a decrease in matric suction. Similarly, the
volume of the soil decreases as a result of an increase in matric suction. The volume of the soil can also decrease in
an independent manner as a result of changes in the external loading. Analytical procedures related to the prediction
of heave should be visualized and understood in terms of changes in the stress state of the soil. It is particularly
important to visualize the expansive soils problem in terms of two independent stress state variables because
changes in the pore-water pressure are always three-dimensional in character while external loading imposed by
man's design are more commonly one-dimensional or two-dimensional in character. For example, a vertical total
load will produce a tendency for an outward movement in the lateral direction while an increase in matric suction
will have a tendency for inward movement in the lateral direction.
Numerous testing procedures and analytical procedures have been proposed in the research literature for predicting
the amount of heave that can be anticipated in an expansive soil under various soil and design configurations.
Generally, the success of each of the methods is somewhat limited by incomplete appreciation of, or inability to
predict, the changes in environmental conditions. The present state-of-the-art in predicting maximum probable
heave is satisfactory for most engineering purposes; however, the prediction ofthe rate at which the volume changes
may take place is considerably more difficult because it depends upon the availability of water to the soil.
The rate of heave is also related to the coefficient of permeability of the soil. Field rates of heave are strongly
influenced by the macrostructure of the soil, which is difficult (if not impossible) to assess from a laboratory test.
The unpredictable availability of water from surface and subsurface sources is also difficult to predict.
Foundations on Expansive Soils 227
Field shrinkage rates are affected by the efficiency with which moisture can be removed from the subsoil.
Evapotranspiration proceeds in a fairly predictable manner when the water content of the soil is high, but is less
predictable at lower water contents because of plant-root extensions, plant wilting, soil cracking and other factors.
15.3.1 Prediction of One-Dimensional Heave
The prediction ofheave (or swelling) can be canied out in a manner similar to that used when calculating consolidation
or settlement of a soft clay layer (Fredlund et aI, 1980). The prediction of heave requires an understanding of the
initial and final stress states and the defonnation modulus of the soil. The Constant Volume swell test provides the
necessary infonnation to assess the initial stress state (i.e., the COlTected swelling pressure), while the swelling
index, C, is taken as the defonnation modulus.
s
The swelling index, C" generally ranges from 1 0 to 20 percent of the compressive index, C s' for a particular soil.
Figure 15.12 shows approximate values for the swelling index values that have been conelated with the liquid limit
and the rebound void ratio of a soil (NAVFAC DM-7, 1971). The estimated values of the swelling index are useful
for obtaining an estimate of the swelling.
0.30
0.25
0.20
.
u
0.15
><
€I)
"0
.5
C>
0.10
:§
0.05
(f)
0
o 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
Void ratio from Which rebound occurs
FIGURE 15.12 Correlation ofswelling index, Cs, with the Atterberg Limits and
in situ void ratio for an expansive soil (NAVFAC DM-7, 1971)
The equation of a straight line on a semi-logarithm plot can be used as the basic equation for the prediction ofheave.
The equation conesponds to the in situ stress paths projected onto the net nonnal stress plane (Figure 15.13).
Final stress conditions
Actual stress path
Analysis stress
path
Swelling
pressure,
p'.
Matric suction,(ua-U,.)
FIGURE 15.13 Actual stress path in situ and the stress path used in the analyses/or total heave
228 Canadian Foundation Engineering Manual
The stress path followed during the swelling of the soil corresponds to the rebound curve (i.e., CJ from the initial
1
stress state to the final stress state. The equation for the rebound portion of the swelling curve can be written as I
follows:
i
b.e =C
s
109(P
j
I
(15.3)
~
where:
6.e change in void ratio (i.e., e
f
- eo)
e void ratio
a
final void ratio
swelling index
final stress state
initial stress state or the "corrected" swelling pressure, P:
The initial stress state, P , can be visualized in terms of the overburden pressure plus the matric suction equivalent
o
(see Figure 15.14):
P =(a -u)+(u u) (15.4)
o y a a w
where:
a
y
total overburden pressure
(ay u
a
) net overburden pressure
(ua-u) = matric suction.
The pore-air pressure in the field can be assumed to remain at atmospheric conditions. The initial stress state, Po' can
always be taken as the 'corrected swelling pressure,' P:. The final stress state, PI. must take into account total stress
changes and the final pore-water pressure conditions.
a ± b.a - u (15.5)
y Y wf
where:
6.a
y
change in total stress due to excavation or the placement offill
u
wf
= final pore-water pressure.
An estimate ofthe final pore-water pressures must be made as part ofthe assessment ofthe final stress state (Hamilton
1969). Several possibilities can be considered as reasonable long-term pore-water pressure states. First, it could be
assumed that hydrostatic conditions above and below an estimated water table would be reasonable. Assuming that
this water table rises to ground surface is the most conservative assumption and will produce the greatest estimate
of heave. Second, it could also be assumed that soil suctions throughout the soil profile will dissipate to zero but
that no positive pore-water pressures will develop. Third, it could be assumed that under long-term equilibrium
conditions, the pore-water pressures will remain at a slightly negative value. This assumption produces the smallest
prediction of heave. It has been observed that all ofthese assumptions related to final pore-water pressure conditions
generally produce similar estimates of heave since most of the heave occurs in the uppermost soil layer where the
matric suction change is largest.
The selection ofthe final pore-water pressure boundary conditions can vary from one geographic location to another
depending upon climatic conditions. For example, the equilibrium suction below an asphalt pavement surface has
been related with the Thomthwaite Moisture Index. On many small, engineered structures, however, it is often
artificial causes such as leaky water lines and poor drainage that control the final pore-water pressures in the soil.
The heave of an individual soil layer can be written in terms of a change in void ratio as follows:
Foundations on Expansive Soils 229
(15.6)
where:
!3.h. heave of an individual layers
I
h.
1
thickness of the layer under consideration
!3.e
1
change in void ratio of the layer under consideration (i.e., eli e)
e. initial void ratio of the soil layer, and .
01
final void ratio of soil layer.
The change in void ratio, !3.e
i
, in Equation 15.6 can be computed using Equation 15.3 to give the following form:
(15.7)
where:
= final stress state in the soil layer, and
initial stress state of the soil layer.
The total heave from several soil layers, !3.H, is equal to the sum of the heave for each soil layer.
(15.8)
15.3.2 Example of Heave Calculations
Figure 15.14 illustrates the calculations required to predict the potential heave from a 2-meter layer of expansive
soil. The initial void ratio is 1.0, the total unit weight is 18 kN/m
3
and the swelling index, C" is 0.1. Only one
oedometertest was performed on a soil sample taken from a depth of 0.75 m and the measured, 'corrected' swelling
pressure was 200 kPa. It is assumed that the 'corrected' swelling pressure is constant throughout the 2-meter layer
and that the ground surface will be covered with an impermeable layer such as asphalt. The suction in the soil below
the asphalt will decrease with time due to the discontinuance of evaporation and evapotranspiration from the ground
surface. It is assumed that the final pore-water pressures will eventually go to zero at all depths.
Corrected
swelling Total
pressure (kPa) pressure (kPa)
o 200
'"
•
Layer 1 m kNlm
3
I
-
2 meters
--------1----· y
- -- 13.5
Layer 2 0'1 m y= '
swelling rc -
clay
-------- '"---- Undisturbed I
Assumed P'.
Layer 3 1.0m
sample for I
--- -.27.0
distribution
y y test
oedometer
\
Assume: 1) Surface is covered with an impermeable layer
2) Fina! pore water pressure equals zero
Equation:l>h,
1 + eo POI
P
f
will equal overburden pressure
Po will equal corrected swelling pressure
Calculations: 5
Layer 1 ah :: 500 x log _4_.- = 41,2 mm
1 1 + 1.0 200
0,1 13.5 293
Layer 2 ah, " 500 x 1 + 1.0 log -200- . mm
Log pressure
Layer 3 ah, =1000 Xi log
=43.5 mm
Total Heave 114.0 mm
FIGURE 15.14 Example illustrating heave calculations for 2-meter layer of
expansive soil when matric suction becomes zero
2S0 Canadian Foundation EngineeringManual
t
,
"
.
.f,
""1' i
The 2-meterlayeris subdivided into three layers, the top layerbeing the thinnest. (Normally more than 3 layers
wouldbeusedto obtainan accurate solution).Theamountofheave in each layeris computedbyconsidering the
'I
mid-pointofeachofthethree layers. Theinitialstress state, is equalto the 'corrected'swellingpressure atall
1
depths.Thefinalstressstate,PI isequaltotheoverburdenpressure.Equation 15.7isusedtocalculatetheheavefor
i
eachlayer. ThecalculationsshownonFigure 15.14revealatotalheaveof114mm.About36%ofthetotal heave
~
occursintheupperquarteroftheclaystrata.
15.3.3 Closed-Form Heave Calculations
1
The calculationofthe amount ofheave depends primarilyontheswellingpressure and theswelling index ofthe
1
soil.Itispossibletocomputeclosed-formsolutionsforproblemswithspecificgeometricboundaryconditionsusing
~
Equations 15.7 and 15.8. The assumption is made thatthefinal soil suctionwill be zero. Figure 15.15 shows the
'I
]
generallayoutofthe geometryunderconsideration,dividedintoanumberofequallyspacedlayers.
j
Groundsurface
I
. 2
4
(I - 1)h
ih
H=jh
(active ..L
depth)
~
1-1 1---._-\
~
!!f." \\\\\\\
Correctedswelling
pressureprofile
Overburdenpressure
profile
~
P'S pgh
FIGURE 15.15 Idealized geometry profile usedfor the "closed-form" solution
for the amount ofpoten tial heave ifthe soil suction becomes zero
Theexpansiveclaylayeris assumedto startatthegroundsurface.Thesoilis assumedtobecomewet(Le.,thesoil
suctiongoesto zero) to adepthwheretheoverburdenbecomesequaltotheswellingpressure.Thetotalheavefor
anexpansive soil can then becomputed as shown in Figure 15.16. Thetotal heave increases significantly as the
swellingpressureof thesoilincreases.However,itmustbepossibleforwatertoentertheentiresoilprofileinorder
forthepotentialheavetoberealized.
500 1000
Correctedswellingpressure, P',(kPa)
j
FIGURE 15.16 Closed-form calculation oftotal heave when the soil suction becomes zero
"!i!iiIC .
g
:r:
<1
g
gj
.c
0.6
]i
F'
0.4
0.2
I
Foundations on Expansive Soils 231
15.4 Design Alternatives, Treatment and Remediation
Following are some general guidelines regarding the design of foundations on expansive soils and the control of
the 'active zone.' The basic concept behind the design of a foundation system on expansive soils involves giving
detailed attention to control of the environment (e.g., moisture movement) or to isolation of the structure from soil
movement. In general, it is not prudent to attempt to resist movement imposed by swelling soils. Rather, it is better
to attempt to control the environment (i.e., moisture control) surrounding the structure. Suggestions for moisture
control are given following a description of possible foundation designs for expansive soils.
15.4.1 Basic Types of Foundations on Expansive Soils
There are three general foundation alternatives for expansive soils:
shallow spread footings
a pier and beam system, or
stiffened slab-on-grade.
Shallow spread footings are the most common type of foundation for light structures. Generally there is little
engineering design associated with these foundations and consequently these structures suffer distress when placed
on expansive soils. It is often difficult to convince owners that additional funds should be initially invested in an
adequate foundation that is placed on expansive soils. Generally, an initial investment in engineering consultation
will prove to be a wise investment after a few years.
15.4.2 Shallow Spread Footings for Heated Buildings
Shallow foundations may be economical and give adequate service for certain structures on soils oflow-to-moderate
volume-change potential in humid to sub-humid regions. The foundations should be reinforced to minimize effects
of seasonal edge movements and non-uniform bearing surfaces, such as over service trenches. The spread footing
foundation should perform satisfactorily provided there are no deep-seated or long-term effects such as major
changes in the water table (Le., pore-water pressure conditions) or vegetation conditions. Shallow spread footing
foundations will not likely perform well under severe environmental conditions.
Good engineering design practices include giving consideration to the following issues:
Positive surface drainage should be provided away from the structure by carefully selecting the slab surface
and the outside grade elevations;
Placing the slab on a granular, free-draining fill;
Ensuring stable and uniform moisture conditions under and around the foundation;
Excluding deep root penetration under the foundation and protecting against undetected leakage from
underground piping;
Preventing the back-up of water through poorly backfilled trenches; and
Providing adequate perimeter insulation around the foundation to eliminate steep thermal gradients through
reactive soils under and around the foundations.
Other precautions worth consideration as part of the superstructure design include:
Utilization of flexible framing, cladding and partitioning construction;
Provision ofadjustable-length interior columns and slip joints in non-load bearing partitions to accommodate
differential movements; and
Providing free-spanning of floors and roofs between load-bearing exterior walls and frames, wherever
possible.
232 Canadian Foundation Engineering Manual
15.4.3 Crawl Spaces Near or Slightly Below Grade on Shallow Foundations
In addition to the recommendations given above, crawl-space designs require that special attention be given to the
following issues:
Provision of adequate drainage slopes to sump areas and drainage-tile beds within the crawl space;
• Provision of adequate ground cover in the crawl space to control evaporation of moisture from the soil;
Provision of adequate heat supply and insulation to prevent frost penetration below footings and to control
extreme thennal gradients in soils below and around foundation units. This is necessary to prevent excessive
accumulation of moisture or the drying in the underlying soils; and
Provision of adequate ventilation of the crawl space throughout all seasons to prevent condensation on or
within structural materials in the crawl space.
The magnitude of total, differential, and tilt movements of shallow foundations will depend on the many factors
related to the active zone and the reactivity of the soils on the site. Even for soils of relatively low volume-change
potential, some differential movement of the perimeter spread footing units relative to central units will occur.
Relative movement should be anticipated and provision should be made for convenient length adjustment of
columns supporting central beams and floors. Central load-bearing partitions carried directly on strip footings are
not recommended unless an effective means can be incorporated for adjusting the elevation of the superstructure
below the main floor level.
The magnitude of total and differential movements experienced by structures on shallow foundations is influenced
by the net unloading of the soils. This is the case even with a typical full-basement excavation and a lightweight one
or two-storey building. Although central footings may be designed to carry equal structural loads and to have similar
dimensions to ensure similar stress increases in the underlying soils, the net area-unloading effect of the excavation
has a much deeper influence. Consequently, deep-seated heaving tends to affect central footings much more than
perimeter footings. The provision of adjustable columns in important for these situations.
Serious attention must also be given by designers to stacks, chimneys, heating ducts, furnaces, and other equipment
placed on ground-supported basement floors. On moderate-to-high volume-change soils, differential heaving of
basement floors will likely become excessive and objectionable to many occupants over a period of a few years
after construction. This problem can best be addressed at the design stage by providing a structural basement-floor
system that spans between foundation supports. It is also possible to provide an adjustable flooring system that
can easily be maintained by the occupant or owner. All shallow foundations may be subject to tilt deformations or
localized settlement caused by non-uniform soil reaction to moisture changes or localized influences, such as deep
tree roots, leaks, or other localized sources ofwater.
Grade beams and basement walls, which also serve as retaining walls for clay backfills ofmoderate- to high-swelling
potential, should be designed to resist horizontal earth pressures in accordance with an equivalent fluid-pressure.
15.4.4 Pile and Grade-Beam System
A pile and grade-beam foundation system generally provides a superior foundation to that of a spread footing
system. The piles are generally of the cast-in-place concrete type but other types of piles can also be used. The
piles need to be extended below the depth of seasonal ground movement. A grade-beam system supports the loads
between the piers. A structural floor slab system tied into the grade-beam generally performs well. However, a
floating slab resting on the grade beams can also prove to be a satisfactory system. Compacted sand or gravel is
generally placed below the floor slab but sometimes the floating slab is placed directly on the soil Figure 15.17.
Foundations on Expansive Soils 233
Fill grade
..:;11
-III'
,.·lrf1l (
. Reinforced
concrete
grade-beam
Full length steel
reinforcement
Partition walls
(suspended from floor joists
or supported on compressible
material)
"Floating floor slab"
Sand or gravel fill __.
or may not be used)
Void space beneath grade
beams between piles
Concrete piers drilled into
firm bedrock or to depth
below level of active zone
FIGURE 15.17 Typical layout for a drilled pile and grade beam foundation system (Nelson and Miller, 1992)
Good engineering design practices include giving consideration to the following issues:
• The piles need to be extended well below the depth of seasonable movement and have sufficient depth to
resist uplift resulting from the expansion of the soil,
The piles may be straight shafts or may be belled at the bottom, as deemed most suitable for the structure
under consideration,
The piles need to be reinforced to resist the potential uplift forces associated with the expansion of the soil
in the upper portion of the profile,
• Consideration may be given to the possibility of using a material along the upper portion of the pile that
reduces the adhesion of the soil to the pile in the swelling portion of the profile,
The grade-beams need to be tied into the grade-beams,
A space must be left below the grade-beams (i.e., between the locations ofthe piles) in order to accommodate
potential upward swelling of the soil below the grade-beam. The amount of space that must be left below
the grade-beam varies depending upon the soil conditions but will commonly be in the order of 150 mm
(6 inches) or more, and
Precautions previously mentioned related to surface drainage need to be respected for pile and grade-
beam systems as well.
15.4.5 Stiffened Siabs-on-Grade
Stiffened slabs-on-grade (Figure 15.18) are not a common type of foundation system in Canada because of the
adverse weather conditions. Frost penetration further accentuates the potential for foundation movements, over and
above that due to expansive soils. In situations where a stiffened slab-on-grade might be considered as a potential
foundation type, a competent structural and geotechnical engineer should be retained to design a system that can be
ensured to perform satisfactorily.
-
234 Canadian Foundation Engineering Manual
1'- - - - - .....l'- - - - - - ...., ,"-' - - - - ..... 1 I - -11- - - .....
I I !! I I II
A ~ ~ T B B -n--- I I II
I II II I I II
1______11 _______ ,1 ______I 1 ___'1___ _
------ ..,.------" ------,
I 11 I I I
I :1 ,I I
, I )1 I
, I, II 1
1 I" ___ /1 _____ _
Exterior Beam (frame) Interior Beam
FIGURE 15.18 Typical layout for a reinforced slab-on-grade (Nelson and Miller 1992)
The Building Research Advisory Board Recommendations for the design ofresidential stiffened slabs takes hogging
and sagging ground movement conditions into consideration. A qualified structural engineer must be retained to
design the necessary reinforcement that must be included in the slab.
15.4.6 Moisture Control and Soil Stabilization
Measures that ensure a control on the movement of moisture in and out of the foundations soils should be made
a part of the foundation design. Numerous procedures have been used in various parts of the world. Some of
the procedures have proven to be successful in soine countries while not providing a successful solution in other
. countries. It is important that a qualified geotechnical engineer be retained to ensure that moisture control and soil
stabilization techniques are assessed and applied in an appropriate manner for the situation at-hand. There are a
number of details that can be added to the design to ensure the successful performance of the foundation system.
Figure 15.19 shows a concrete apron placed around a foundation, tied into the foundation system. Low permeability
aprons have been found to perform quite well in reducing differential heave in expansive soils.
"\
,
,
" "
Shallow subdrain .
desirable at outer
edge of moisture barrier
FIGURE 15.19 Details such as a (concrete) membrane tied to the foundation system can
assist in controlling infiltration (Nelson and Miller 1992)
Foundations on Expansive Soils 235
Some other possible soil stabilization techniques are as follows:
Soil Stabilization: Many expansive soils can be rendered essentially inert through the addition of lime. Lime
stabilization designs can be considered; however, in most situations it will be sufficient to use a lime modification
procedure. Lime modification usually requires that only 6 to 8 percent lime be mixed with the soil. Soil testing is
required in each situation to determine the amount of lime that should be added. A decision regarding the appropriate
amount of lime to add can be based the reduction in the plasticity index as a.result of adding lime. It should be noted
that the addition of lime to the soil may not be a potential option in many situations because of the toxic nature of
lime.
Remove and Replace: In some situations where the expansive soil is relatively shallow, it may be possible to
excavate and replace the expansive soil. The cost-effectiveness of this option will usually control whether or not it
is an option that should be considered.
Mixing for Homogenization: It is the highly heterogeneous nature of expansive soils deposits that give rise to
differential ground movements that are essentially equal to the total ground movements. However, the excavation of
a soil deposit followed by the subsequent recompaction of the soils will result in reduced and more uniform ground
movements. The use of the mixing and recompaction of a soil deposit should be used under the supervision of a
qualified geotechnical engineer. A laboratory-testing program should be undertaken to verify that excavation and
recompaction will produce the anticipated results.
Pre-wetting: The swelling potential ofa soil can theoretically be eliminated by soaking the soil prior to construction.
However, this practice may not produce satisfactory results. It would appear that this practice has been used
successfully in some parts of the world but there are probably more situations where it has been unsuccessful. The
problem appears to arise with the difficulty in obtaining a uniform wetting of the soil. If the soil is cracked near to
the ground surface, it appears that the expansive soils in the upper portion of the profile swell closed and then it is
not possible for further wetting to occur in a reasonable period of time.
After construction has been completed, the moisture in the soil often undergoes a slow redistribution process with
the result that the structure suffers distress. The pre-wetting technique should only be used after thorough study
under the supervision of a qualified geotechnical engineer.
Chemical Stabilization: There are chemicals other than lime that can be used to stabilize an expansive soil. These
chemicals may be salts, enzymes or other chemicals. It is important that the effect of the addition of any particular
chemical on the behavior of the soil be thoroughly studied and appraised by a qualified geotechnical engineer prior
to it use.
Surcharging: Placing a load, such as an inert fill, overtop of an expansive soil may significantly reduce the potential
for volume change. The amount of load applied will depend upon the swelling pressure of the soil. The greatest
amount of swelling generally occurs near to the ground surface. Consequently, an inert fill can be quite effective
in reducing swelling even though it will not likely eliminate the total amount of swelling. The amount of load that
would need to be applied for a particular situation should be assessed by a qualified geotechnical engineer.
Capillary Barriers: A capillary barrier is a more coarse-grained material such as a silt, sand or gravel, placed
over the expansive soil. Normally a coarse-grained material is thought of as a highly permeable material that will
merely allow water to reach the expansive soil with the result that swelling will occur. However, the coefficient of
permeability can be extremely low when a coarse-grained material has a low degree of saturation. The water storage
capacity of a finer/coarser series ofsoil layers can be made quite large. This form ofcapillary barrier can be extremely
effective in reducing the amount of water that reaches the expansive soil by storing infiltrating moisture near the
surface where it can be released back into the atmosphere by evapotranspiration. The capillary barrier needs to be
designed such that it has the appropriate air entry value and storage properties for the situation-at-hand. The des.ign
of the capillary barrier must be consistent with the climate and drainage conditions at the site. Capillary bamers
have been effectively used around light-engineered structures to reduce the amount of distress to the structure.
236 Canadian Foundation Engineering Manual
Each of the above potential solutions to handling an expansive soil should be reviewed and studied by a qualified
geotechnical engineer. The need for input from a qualified geotechnical engineer cannot be over-stated because case
histories reveal that often steps taken to remedy the expansive soils problem merely aggravate the situation.
Site and Soil Improvement Techniques 237
Site and Soil Improvement Techniques
16 Site and Soil Improvement Techniques
16.1 Introduction
A number of techniques can be used to improve the strength and compressibility of subsoils that are too weak to
support conventional shallow foundations. These include pre loading, vertical drains, dynamic consolidation, vibro
processes, lime treatment, ground freezing, blast densification, compaction grouting, chemical grouting, vacuum
preloading, and electrical strengthening methods.
A state-of-the-art report by Mitchell (1981) presents a comprehensive review of soil improvement techniques that
complements the techniques highlighted in this section. Additional information is provided by Bell (1993) and
Moseley (1993).
16.2 Preloading
16.2.1 Introduction
The preloading technique was developed in the 1940s, mainly in connection with highway construction. Since that
time, it has been applied to a wide variety of projects, including buildings, storage tanks, airfields, flood control
structures and land reclamation projects (Johnson, 1970a,b). The technique has been used to improve all types of
natural cohesive soils (including peat), deposits of loose sand and silt, and fills, including waste materials. It is
uneconomical and impractical for structures with heavy, concentrated loads.
16.2.2 Principle of Preloading
Ground treatment by preloading implies placing a load on top of the ground to be treated well in advance of the
construction of the proposed structure. The magnitude of the pressure exerted by the load would usually be greater
than the maximum pressure imposed by the proposed structure.
Temporary surcharge loads (defined as loads in excess of the final loading) are frequently employed to decrease the
time required for preloading. Such surcharge is needed when the pre loading is intended to minimize the effects of
secondary compression.
Methods of applying the preload are by earth fills, water loading, vacuum under impervious membranes, and
groundwater lowering by well-points or deep wells.
After removal of the preload, including any surcharge, a slight rebound is to be expected. However, the rebound
is, usually, very small and negligible. Construction of the final structure may start over the precompressed
soils immediately after removal of the preload. The principle of the pre compression technique is illustrated in
Figure 16.1.
238 Canadian Foundation Engineering Manual
Z
0
Cl
>=
«
U
0
a:;J --l
0'"
-,z
wO
g:u
Z
0
a >= 0"'"
«
«
u
0 00
..... :J
a..
w
o... new C"-
0... « "- ne
SURCHARGE
PRELOAD
I- Z
U
w
0
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>=
0 u
""
:;J
a..
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""
-' V'!
« z
Z 0
u::: U
z
o
>=
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:;J
1.1.. ""
o t:;
o Z
Z 0
w U
OF SERVICE LOADS
FINAL STRUCTURE
TIME
\
\
\
\
,
""
V'l
t-
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u.I
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<.!l
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FIGURE 16.1 Principle ofpreloading technique
16.2.3 Design Considerations
16·.2.3.1 Evaluation of Settlement
In the planning of a preloading program, the magnitude and duration of consolidation under preload need to be
evaluated. This can be done using the methods in Chapter 11 of this Manual. Settlement calculation requires that the
stratigraphy and properties of the subsoil be determined through a soil investigation of the site. Parameters such as
in-situ shear strength, preconsolidation pressure, compression index, swelling index, coefficient of consolidation or
modulus number, stress exponent, and permeability may be required. In coarser soils having a permeability exceeding
about 1 x 10-
6
mis, settlement will occur rapidly, and a preloading time of a few months is normally sufficient. In
more impervious soils, vertical drains (Section 16.3) may be employed to accelerate the consolidation.
16.2.3.2 Stability
Ifthe foundation soils are weak, the design of a preloading program must also consider stability. This may require
stability berms and the use of it controlled rate of loading to enable gain in strength of the foundations soils during
preloading (Tavenas et aI., 1978). Vertical drains also serve the purpose of accelerating the increase in strength of
the foundation soils.
16.2.3.3 Size of Preloading Area
The preloading area must exceed the limit ofthe final structure in such a way that the stresses induced at any depth
in the foundation soils by the preload under the edge of the proposed structure are uniform and at least equal to or,
preferably, greater than the final stresses at that location. In addition, it is desirable to extend the preload area to
allow for possible future extension of the proposed structure.
-'
Site and Soil Improvement Techniques 239
16.2.3.4 Instrumentation
A proper instrumentation program should be mandatory for all pre loading schemes to provide a continuous
monitoring of the results. The instrumentation should be designed to monitor in representative locations and
depths the magnitude and duration of settlement during preloading, during removal of the preload, and during
the construction period of the structure. Monitoring of the final structure for several years after construction is a
recommended practice.
In pervious soils, instrumentation may be limited to a number of settlement points installed at final foundation
level to monitor the overall settlement of the compressible subsoil. In clayey soils, the instrumentation may include
settlement gauges at variable depths below ground surface and piezometers to monitor the rate of pore pressure
dissipation and degree of consolidation. Inclinometer may be added to measure horizontal deformations at the edge
of a preload fill and to monitor settlement distribution with depth, if required.
16.2.3.5 Foundation Design for the Final Structure
Once the preloading technique has been applied on a compressible ground to make it capable of supporting the
foundations for the final structure, design ofthese foundations may be done using usual procedures as recommended
for spread footings or rafts. In sizing footings, particular attention must be paid to those shallow foundations that
rest at the surface of a thin layer offill over soils with little or no confining pressure around the footing.
16.2.3.6 Advantages and Disadvantages
The preloading technique offers several advantages over other ground improvement methods, in particular, when
time restrictions are not critical and materials used to apply the preload are available at low costs. The main
advantages are: .
Post-construction settlement is reduced to relatively small values, in particular for foundations over
heterogeneous soils.
The preload material may be re-used as general backfill of a site after the completed preloading. This may
represent an important economic factor in the selection of a ground improvement method.
The pre loading technique is a 'quiet' one, free of vibrations or noise usually accompanying other techniques
of ground improvement, and should be considered when environmental restrictions are imposed.
The main disadvantages of the preloading technique are:
settlements may take longer than expected, causing delays that may be economically unacceptable;
disposal of fill material used for preloading may represent a costly item, unless it can be reused on the
site; and
future extensions of the proposed structure need to be considered in the preloading program, which may
impose an undesirable initial investment for the foundations of the future structures.
16,3 Vertical Drains
16,3.1 Introduction
Settlements in clayey soils take a long time to develop. The time required depends on two main factors - linearly on
the permeability ofthe soil, and exponentially on the drainage path, i.e., the thickness of the settling soil layer (see
Section 11.11). The time can be reduced appreciably if the drainage path is shortened by means of vertical drains.
The spacing between the drains controls the length of the drainage path. For instance, drains installed at a spacing
that is a tenth of the thickness of a soil layer that is drained on both sides could accelerate the settlements about
25 times. Furthermore, as the permeability of the soil in the horizontal direction is generally several times larger
than the permeability in the vertical direction and the drainage when using vertical drains occurs in the horizontal
:
"-
240 Canadian Foundation Engineering Manual
direction, the time for completion of the primary settlement is further shortened.
The potential benefits ofusing vertical drains became obvious very soon after Terzaghi in 1926 published his theory
of consolidation. Thus, vertical drains have been used in engineering practice for more than 50 years. At first,
vertical drains were made of columns of free draining sand (sand drains) installed by various means. In about 1945,
premanufactured band-shaped drains were invented (Kjellman, 1948) and, since about 1970, the technical and
economical advantages of the premanufactured band-shaped drains have all but excluded the use of sand drains.
16.3.2 Theoretical Background
For the analysis of the acceleration of pore pressure dissipation in fine-grained soils (drainage) and subsequent
settlement (consolidation), the theory developed by Barron (1948) and Kjellman (1948) is used (Hansbo, 1979).
The theory is summarized in the Barron and Kjellman formula as follows (see Figure 16.2):
D2 [D ] 1 (16.1 )
t - In--O.75 In--=-
8c
h
d l-U
h
time from start of consolidation
zone of influence of a drain
equivalent diameter of a drain
average degree of horizontal consolidation
coefficient of horizontal consolidation
The zone of influence of a drain is the diameter of a circle having the same area as the area influenced by the drain,
i.e., if in a given large area of size A there are n drains placed at some spacing and in some grid pattern, each drain
influences the area Nn. Thus, as shown in Figure 16.2, for drains with a centre- to-centre spacing, clc, in a square
and triangular pattern, the zone of influence D, is 1.13 clc and 1.05 clc, respectively.
In the case' of sand drains, the equivalent diameter, d, is often taken as equal to the nominal diameter of the sand
drain. In the case ofband shaped drains, there is no agreement on what to use as the equivalent diameter ofthe drain.
One approach used is simply to equalize the outside surface area of the bandshaped drain with a circular sand drain
of the same surface. However, this approach does not recognize the difference between the usually open surface
of the pre manufactured drain and the rather closed surface of the sand drain, nor the differences between various
makes of band shaped drains.
Strictly speaking, the equivalent diameter of a bandshaped drain should be termed 'the equivalent circle diameter'
I ;
to separate it from 'the equivalent sand drain diameter'. The equivalent circle diameter is the diameter of a circle
having the same free or unobstructed surface to the surrounding soil as the drain. It has been suggested that the Ii
equivalent circle diameter of a sand drain is the sand drain nominal diameter multiplied by the porosity of the sand f
in the drain. The porosity of loose, free-draining sand is normally about 0.4 to 0.5. Thus, the equivalent circle f·
I '
diameter of a sand drain is about halfof the nominal diameter. However, the consolidation time is not very sensitive
J
..
to variations ofthe equivalent diameter. The spacing is important, however, as is also the total length of drains used
at a site.
,
i
!
I
,
,I
, ..
Site and Soil Improvement Techniques 241
WITHOUT VERTICAL DRAINS
2 H
Tv:=: - O. 1 - 'g (1 - 0)
U
u 1 -
u
o
c/c
WITH VERTICAL DRAINS
t :=: T •
h
1 D 3 1
T :=: - ( In - - -) In
h 8 d 4 l-U
o SQUARE GRID ) D fir .c/c :::: 1. 13 c/c
j2J3
6 TRIANGULAR GRID ---7) D --=rr . c/c = 1.05 c/c
FIGURE 16.2 Principle o/vertical drains
For bandshaped drains of, commonly, 100-mm width, values proposed as the equivalent circle diameter have ranged
between 30 mm and 80 mm, and full-scale studies have indicated that the performance ofsuch drains have equalled
the performance of sand drains of;WO mm to 300 mm in nominal diameter.
The degree of consolidation at a certain time, U, is defined as the ratio between the average increase of effective
stress, ~ o , in the soil over the applied surcharge causing the consolidation process, i.e., L'!o' /q. In practice, it is
determined from measurements of either pore pressure increase or settlement and, alternatively, defined as I minus
the ratio between the average pore pressure increase in the soil over the total pore-pressure increase resulting from
the applied surcharge, i.e., I - u/ U , or, the amount of settlement obtained over the final amount of settlement at
Q
completed consolidation, L'!S/S. The consolidation ratio is generally based on pore pressure increase, because pore
pressures can be determined at the start of a project, whereas the value of the final settlement is not obtained until
after the project is completed. However, as pore pressures and pore-pressure dissipation vary with depth and, in
particular, with the distance to the drains, pore-pressure observations can be unreliable measures of the degree of
consolidation.
The horizontal coefficient of consolidation, c
h
' is critical for the design of a vertical drain project, because the
dissipation time calculated according to the Barron and Kjellman formula (given above), is inversely proportional
to the c value. The c value is not usually determined in a soils investigation program, but the c. value is. In a
h h
homogeneous soil layer, the horizontal coefficient of consolidation, c
h
' is generally about two to six times greater
than the vertical coefficient of consolidation, cy' The extent of the mobilization of a coefficient higher than the c
y
value depends on the disturbance to the soil caused by the installation of the drains. For sand drains, in particular
displacement-type sand drains, a c value that is greater than the c
y
value can rarely be mobilized.
h
The coefficient of consolidation varies widely in natural soils. In normally consolidated clays, the c,
value usually ranges from 1 x 10-
8
to 30 X 10-
8
m
2
/s. In silty clays and clayey silts, the c, value can range from
5 x 10-
8
to 50 X 10-
8
m
2
/s.
242 Canadian Foundation Engineering Manual
The coefficient of consolidation is nonnally detennined from laboratory testing of undisturbed soil samples or
preferably, in-situ by detennining the pore-pressure dissipation time in pore-pressure sounding (piezocone CPT):
The actual value to use requires considerable judgement in its selection, and it cannot be determined more Closely
than within a variation range of three to five times. This means that an engineering design of a project requires
supporting data for selection of the c value to avoid having to employ a very conservative approach.
h
16.3.3 Practical Aspects to Consider in Design
16.3.3.1 Sand Drains
The sand used in a sand drain must be free draining, which means that the portion of fine-grained soil in the sand
must not exceed 5% by weight and preferably be less than 3%.
As indicated by Casagrande and Poulos (1969), the installation of full-displacement sand drains (driven drains) in
soils that are sensitive to disturbance is not advisable. Jetted sand drains will eliminate much of the undesirable
effect associated with driven sand drains, but at the cost of creating a muddy site, and, potentially the destruction of
the drainage blanket on the ground.
Furthennore, before pouring the sand into the water-filled, jetted hole, the water must be flushed clear so that fines
suspended in the water do not mix with the sand, rendering it non-free-draining. It is more difficult to control the
risk of fine-grained soil sloughing off, or being flushed off the side of the hole and mixing with the stream of sand
during the pouring procedure changing the sand into the non free-draining kind.
Sand drains are apt to neck and become disrupted during the installation work, or as a consequence of lateral
movements in the soil.
Despite the stated disadvantages, sand drains can be useful where large amounts of water are expected, in soils less
sensitive to disturbance by the installation, and where the ratio of length to nominal diameter is not greater than 50,
and the ratio of spacing to the nominal diameter is larger than 10.
16.3.3.2 The Premanufactured Bandshaped Drain
The bandshaped drain consists in principle of a channelled (grooved or studded) core wrapped with a filter. The filter
serves the purpose of letting water freely through while preventing fine soil particles from entering the channels.
The channels lead the water up to the ground surface, or to above the groundwater table, or down to a draining layer
below.
The filter must be able to receive water not only from clay soil, but also from coarser soils, such as silty, fine sand
typically found in lenses, or layers in most fine-grained soils. Furthermore, while the drain is receiving water over
its full length, it must be capable of discharging this water through a very short distance of its length, as discharge
through the end of the drain is a rather special case. Consequently, the filter must have a permeability coefficient no
smaller than that offine sand, i.e., approximately I x 10-
6
m1s.
The pre manufactured drain is often manhandled on the construction site: it is dragged on a truck floor and on the
ground, it is left in the sun and in the rain, it gets soaked and is then allowed to freeze, it is stepped on, etc. This
puts great demands on strength, in particular wet strength, on the filter and the glue used to hold the longitudinal
filter seam together. A rip or tear in one spot of the filter of an installed drain can reduce the drain perfonnance
considerably.
The drain core must provide a free volume (free cross-sectional area) large enough for the water flow not to be
impeded, i.e., the well resistance must be small. The water flow in a chain used for accelerating settlement is very
small and the required free volume is small. Typically, the water flow is smaller than about 5 litres per day or 3
cm
3
/min, which is about what a dripping tap produces.
Site and Soil Improvement Techniques 243
The drain core must be flexible enough to deform both by folding (due to lateral soil movement) and by axial
when the soil settles around the drain. The settlement, or strain in compression, can be greater than
%. While a drain cannot be sufficiently soft that it compresses this amount axially, it must be able to 'microfold'
because of the imposed compression strain, without breaking or blocking the passage of water, i.e., creating an
excessive well resistance.
At the same time, it must be strong enough to resist large, lateral, soil pressures without collapsing and effectively
.. closing the longitudinal drainage path in its channels. For instance, at a depth of 20 m in a clay soil underneath an
·ernbankment 10 m high, the effective lateral soil stress is 200 kPa to 300 kPa, and it is desirable that the drain be able
to resist this pressure without developing excessive well resistance.
General Aspects
Ifthe settling soil contains thin layers, bands, or lenses of permeable soil, this will have little effect on the vertical
drainage - the case ofno drains. On the other hand, when vertical drains are used, the permeable layers will drain the
consolidating soil and lead the water toward the drains. Such bands or lenses (even ifvery thin) can be quite effective
in channelling water. Normally, therefore, as stratified or banded clays occur in many places, the assumption of the
Barron and Kjellman formula ofhomogeneous soil is commonly not valid. Furthermore, the consolidation time will
not be governed by the spacing of the drains but by the distance between the permeable layers (on condition, of
course, that the horizontal layering has not been broken down by the drain-installation procedure used and that the
filter permeability is not too small).
Figure 16.3 illustrates the acceleration of settlement by means of vertical drains underneath an embankment on
compressible soil. The upper sketch indicates the back pressure in the drain created by use of a filter with too low
coefficient ofpermeability forcing water to rise in the drain inside the filter to a height above the water table, where
balance is achieved between the inflow and the discharge of water.
The lower sketch in Figure 16.3 illustrates the similar condition created by the ponding of rain water and melting
snow in the depression created by the initial amount of settlement. The ponding is due to insufficient horizontal
drainage on 'the ground surface. In a design of a vertical drain project, the expected amount of settlement must be
calculated and a drainage scheme designed that ensures a horizontal gradient from the treated area at all times.
The build-up of back pressure will have a temporary effect on the time development of the settlement. Anyone
unfamiliar with this phenomenon will observe a flattening out of the time-settlement curve and draw the false
conclusion that all of the primary settlement has been obtained. However, eventually the back pressure will
disappear, and the settlement, delayed due to the back pressure, will recur.
The acceleration of settlement by means of vertical drains is only efficient where the applied surcharge creates a
final effective stress in the soil that exceeds the preconsolidation pressure in the soil. This requirement often governs
the installation depth of drains.
Often, it is unnecessary to install the drains beneath an embankment of width B beyond a depth that is greater than
BI2 to B.
The minimum width of the installation of the vertical drains should extend to the foot ofthe embankment. To reduce
the magnitude of differential settlement causing bowing of the surface, it is recommended that drains be installed to
a distance outside the embankment equal to about half the height of the embankment.
The theoretical analysis is sensitive to the parameters used as input, in particular to the coefficient of consolidation.
Unless prior experience is available from or a nearby site where a similar installation took place, any design using a
theoretical analysis, whether the Bamon and Kjellman formula or a more involved one, has only qualitative value.
When data are available from similar sites, the design analysis can be assisted by a thorough site investigation, which
is aimed at establishing the presence of bands or lenses of permeable soil at the site. This requires pore-pressure
244 Canadian Foundation Engineering Manual
sounding (Chapter 4) and continuous sampling of undisturbed soil with subsequent laboratory identification and
testing.
G.W.
VERTICAL
DRAINS -..
/
---
- -
;;------------,
". ,
W
G.W.
VERTICAL
DRAINS '.
G.W. = groundwater level; W = water level in drains.
FIGURE 16.3 Typical cases ofback pressure in vertical drains
In most cases, spacing of the drains will have to be estimated and the project monitored by means of observations
of the development of settlement and pore pressures over time. The settlement should be monitored not just at the
ground surface, but also as to its distribution with depth. Piezometers need to be carefully installed in relation to the
drains. Naturally, the data will be oflimited value unless coupled with a thorough site investigation.
Often a predesign testing program is carried out to determine the parameters to use in the design and the spacing and
type of drain to use. Typically, more than one spacing are used. Equally important is to arrange for a reference in the
form of an area with no drains, so that the positive effect of the drains can be correctly established. The literature
contains many comparisons between a theoretical calculation of what the time development of the settlement would
have been without use of vertical drains and observed development underneath a drained area. Whereas such a
comparison has the 'advantage' of always 'proving' the desired positive effect of the drain installation, it is of
limited engineering value.
When monitoring the effect of a drain installation, it is important that the observation period be long enough,
preferably up to the end of the primary consolidation. Experience has shown that large potential errors can be
associated with a value of achieved degree of consolidation determined before about 75 % of the settlement has
been obtained.
16.3.3.4 Other Uses of Drains
The use of premanufactured band-shaped drains is not limited to strengthening of clay soils and the acceleration of
settlement underneath embankments, fill areas such as airports, and reclaimed land. Other applications have been
to release pore pressures in tailings dams and in slopes, and to relieve pore pressures behind retaining walls. The
drains have also been used in combination with load application by the vacuum method described in Section 16.11
Site and Soil Improvement Techniques 245
(see also Holtz and Wager, 1975).
16.4
Dynamic Consolidation
16.4.1
Introduction
Dynamic consolidation, also known as dynamic compaction or heavy tamping, is a method of ground improvement
that was developed in the early 1 970s by Louis Menard.
In essence, the technique consists of the application of high intensity impacts over the surface of the ground to be
treated by means of a free-falling, heavy steel or concrete weight. The strain waves generated by these impacts
travel to considerable depths and rearrange the soils into a denser, more compact state.
Dynamic compaction is used to increase bearing capacity and decrease total and differential settlement within a
specified depth of improvement to allow the use ofshallow footings for different types of civil-engineering projects,
including runways, coal facilities, dockyards, etc. It has been used to reduce the liquefaction potential ofloose soils
in seismically active regions. Some unique applications include compaction under water, displacing unsuitable
materials such as peat, and collapsing sinkholes and abandoned mine workings.
The main advantages offered by the process are its low cost, rapidity of execution, applicability to a large variety of
constructed fills and loose natural soils, and usefulness for improving sites underlain by peat and landfills.
16.4.2 Methodology
Dynamic compaction involves the use ofheavy steel or concrete block tamper weighing typically 100 leN to 200 leN
and dropped in free-fall from heights ofup to 30 m using heavy crawler cranes. Under such conditions, compressible
soils have been compacted to depths of as much as 15 m. With special equipment, it is possible to drop heavier
weights and improve soils at greater depths.
The distribution of the impacts and the sequence of the application are critical in achieving successful compaction,
particularly if deeper zones are to be treated. The impacts are normally applied in increments, each complete
coverage of the working surface being referred to as a phase. The early phases, also called the high-energy phases,
are designed to improve the deeper layers with impact points at a spacing dictated by the depth of the compressible
layer. Generally, the phase is followed by a low-energy phase with contiguous impacts (hence, the name 'ironing
phase'), which is mainly designed to densify the surficial layers.
Although the process is effective on saturated coarser grained soils and can be used even on sites where the water
table is near the surface, it is nevertheless complicated and possibly ineffective in fine-grained soils by the creation of
increased porewaterpressures during compaction. This phenomenon will reduce the effectiveness ofthe subsequent
phases, unless it is recognized and measures taken to promote and accelerate the dissipation of pore pressures. If
not, remoulded soil conditions can develop.
During its execution, the process must be continuously monitored, first, to evaluate the degree of soil improvement
being achieved, and, second, for environmental considerations such as potential damage to nearby structures and
annoyance to people. Earthworks to level the site after each phase and to replace uncompactable materials with
suitable soils are also part of the operation. Final verification testing to ensure that the specification requirements
have been fulfilled must be performed upon completion of the treatment.
246 Canadian Foundation Engineering Manual
16.4.3 Ground Response
16.4.3.1 Ground Deformation
The impact of falling weight upon the earth compacts the natural soils and collapses voids in fill soils, causing
deformation in both vertical and horizontal directions. The induced settlement is significant inasmuch as it provides
an indication of the efficiency of the process. The magnitude of settlement depends on the initial compactness ofthe
soils, the applied energy per unit area, and the adequacy of the compaction plan. Generally, the induced subsidence
amounts to between 5 % and 7 % ofthe thickness of the loose soils being treated. Several sites are reported to have
subsided as much as 2 m as a result of the treatment.
The horizontal deformations, although accompanied by some degree ofcompaction, are important mainly because of
the potential displacement of adjacent structures. In the case of fine-grained soils, noticeable swelling of the ground
surface generally occurs, as much as 0.3 m in certain instances, but diminishing quickly to become undetectable at
a distance of 4 m to 5 m from the treated area.
16.4.3.2 Ground Vibration
The impact of the tamper on the ground generates compression, shear, and Rayleigh waves. Rayleigh waves, which
travel at surface, generate vibrations that may affect nearby structures as well as people living and working in them.
These vibrations normally have a frequency of about 5 Hz to 8 Hz, and the shock accompanying each blow of the
falling weight is felt for about one second.
Peak particle velocities are generally used to define damage criteria for building structures and annoyance levels to
persons. The peak particle velocities increase significantly with the densification of the soil mass.
16.4.3.3 Pore Pressures
Where the water table is within the depth of influence ofthe process, the densification is accompanied by an increase
ofporewater pressures. In the case of sands and gravels, these pressures dissipate quickly. In less pervious soils, the
induced pore pressures may take days or even weeks to dissipate fully.
16.4.3.4 Soil Improvement
The engineering properties ofsoils densified by the process are improved to a depth and degree that depend largely on
the proper assessment of the several variables and parameters characterizing each project. The variable parameters
include the weight of the tamper, its height of fall and impact surface area, the grid spacing, the number of phases,
the total compactive energy, and the time delay between phases. The non-variable, or given, parameters include the
existing soil types, the initial soil conditions, groundwater levels, and the environment.
A convenient approximation of the maximum depth of influence is (d ) in metres given by the following empirical
max
formula:
d
max
=a...)WH (16.2)
where
W weight oftamper (N)
H height of fall (m)
0. a factor usually taken as 5 x 10-
3
t07 X 10-
3
(dimension m / N )
Improvement achieved by means of dynamic consolidation has been observed to increase with depth to a maximum
at a specific depth and then diminish with depth until reaching a depth, d , below which the soil properties remain
max
unchanged. The specific depth is approximately between one third and one-half of the maximum depth.
test.
Site and Soil Improvement Techniques 247
16.4.3.5 Control Testing
Quality-control measures must be undertaken to ensure that improvement does indeed occur and that the engineering
characteristics of the soil have been attained as specified.
Control testing may be divided into three types: production, environmental and specification. Production control
includes quality-assurance aspects, such as logging the impacts, elevation survey of the working surface,
and monitoring the changing soil characteristics during treatment using in situ geotechnical testing methods.
Environmental control consists ofmeasuring ground vibration levels and carrying out boundary surveys to minimize
the effects of the tamping operations on adjacent properties. When compacting in close proximity to existing
structures, it may include instrumentation designed to detect potential movement and deformation. Specifications
or verification controls are carried out after the treatment is completed to certify that the objectives of the treatment
have been attained.
The most frequently used in-situ geotechnical methods for production or specification control have been the
pressuremeter, the standard penetration test (SPT), the static cone penetrometer (CPT), and the dynamic cone
penetrometer. Geophysical surveys have proven useful in soils that are difficult to test with conventional methods,
such as rockfills. Other types of field measurements include observation of pore pressure, measurement of peak
particle velocities, and subsurface settlement. Field vanes, dilatometer and plate test loading are also used.
16.4.3.6 Limitations of the Process
The safe use of dynamic consolidation presupposes the knowledge and understanding of its limitations. The main
limitations are depth, soil type and soil conditions, the environment, the engineering requirements, and the climate.
Reviewing these various factors, the following guidelines are suggested:
16.4.3.6(1) Depth
Using conventional lifting equipment, it is possible to treat free-draining granular soils to depths of 15 m and fine
silty sands and silts to depths of 10 m to 12 m. Greater depths of improvement have been achieved with special
equipment, but the effidency of the process beyond depths greater than 15 m remains unproven, except for coarse-
grained material, and any such application should be approached with caution.
16.4.3.6(2) Soil Types and Conditions
The efficiency of the process for improving clays and clayey alluvials remains unproven. Such applications should
be considered only for projects where the potential economy is sufficiently important to justifY a full-scale field
Because oftheir loose state and the presence of numerous voids, most types of constructed fills, including clay fills,
can be successfully improved by the process. However, secondary settlement due to loss of volume accompanying
the decomposition of organic matter remains a phenomenon that is difficult to assess.
The application of the treatment may be complicated if the water table is closer than 2 m below ground surface.
Remedial measures will generally consist of raising the grade with imported materials but may also consist of
pumping to lower the groundwater level. High pore pressures generated in fine-grained soils can adversely influence
the results of the process.
16.4.3.6(3) Environment
The application of the process is accompanied by noise, vibrations, gusts of air, and permanent soil deformations.
It may therefore be disadvantageous when used in an urban area.
Noise generated by the impact is generally muffled and not objectionable. By contrast, the roar of the lifting crane
246 Canadian Foundation Engineering Manual
engine can be quite loud and may have to be abated by suitable equipment. Typically, the noise level (impact +
engine noise) will reach 130 dB at a distance of 12 m, decreasing below 100 dB at 100 m.
Air gusts will displace materials around the edges of impact points, sometimes projecting chunks of earth and
mud to considerable distances creating a risk of damage to property and injury to persons. Suitable precautions are
required.
Vibrations generated by the process are not nonnally damaging, unless peak particle velocities exceed 50 mmls, but
will at a much lower value cause annoyance to persons nearby. It should be stressed, however, that the reaction of
people to vibrations is generally unpredictable.
When working in close proximity to existing structures, the intensity of vibrations can be reduced by the use of a
lighter tamper, or a lower height offall, or a combination of both. The observance of the following fonnula should
ensure a safe operation.
where
D> .JWH
80
(16.3)
D distance from impact (m)
W= weight of tamper (N)
H= height offall (m)
Notwithstanding the above, an experienced specialty contractor may work safely as close as 3 m from underground
services and 6 m from sound structures.
Soil defonnation that is pennanent can occur as much as 6 m away from the limits of compaction. At the ground
surface swelling occurs, which could raise and crack pavements and sidewalks; at depth, lateral displacement occurs,
which could affect underground structures. Pennanent horizontal displacements of 20 mm at a distance of 4 m, and
of 6 mm at a distance of 6 m, have been recorded.
16.4.3.7 Engineering Requirements
Although many types of soils will be improved by the process, the attainable engineering characteristics vary
considerably. As a general guideline, the limits in Table 16.1 are proposed, where the presumed design bearing
pressures are given. The design bearing pressures correspond to serviceability limit states not exceeding 25mm
total settlement.
TABLE 16.1 Presumed Design Bearing Pressures for Soils Treated by Dynamic Consolidation
Type of Soil
Fine-grained alluvials, silty fills
Design bearing pressure (kpa)
100 - 150
Heterogeneous fills 100 - 200
Fine silty sand, hydraulic fills 200
Coarse sand, gravel 300
Well-graded gravel, rockfill 400-500
16.4.3.8 Climate
Adverse weather conditions such as heavy rainfalls, snow, and frost do not preclude the use of the process; they
may however, have a considerable influence on its costs. Dynamic compaction has been carried out in Canada in
temperatures as low as -15°C to -25°C.
Site and Soil Improvement Techniques 249
16.5 In-Depth Vibro Compaction Processes
16.5.1 Introduction
Improving soils by using depth vibrators started in the early 1930s, when the concept was developed that deep
deposits of soil could be compacted by means of a machine that would carry the source of vibration to the desired
depth (Steuermann, 1939). Since then, depth vibrators have been used extensively throughout the world for the
densification of granular deposits. The process uses elongated vibrators, and, when combined with water jetting, it
is generally known as Vibro compaction.
In the early 1960s, the use of more technologically advanced depth vibrators led to their use for the improvement
of fine- grained soils and fill materials by replacing the fines in the soil, which are washed out during the jetting,
with coarse materials, which then are compacted by the process. This application of the process is called Vibro
replacement or, somewhat incorrectly, the 'stone column' method, although it is essentially no different from the
Vibro compaction method.
The Vibro process provides an economically attractive and technically feasible basis for the treatment of soils that
exhibit (in their natural state) insufficient strength to support anticipated building loads.
16.5.2 Equipment
The essential element of the depth vibrator is a heavy tubular steel body, approximately 300 mm to 400 mm in
diameter and 4.5 m to 5.0 m long, within which are housed eccentric discs that rotate on an axial shaft. In order
to reach depths greater than 5 m, the vibrating unit (called the vibrator) is connected to simple extension tubes of
approximately the same diameter. The complete assembly is suspended from a conventional crane.
Two types of vibrator are in use: an electrically driven vibrator with a frequency of 60 Hz, and ahydraulically driven
vibrator with variable frequency. The power demand of the electrically powered vibrators is generally about 35 kJ
to 50 kJ, although vibrators of up to 100 kJ effect are also available.
16.5.3 Vibro Processes
16.5.3.1 Vibro Compaction of Loose Cohesion less Soils
The vibrator is allowed to penetrate the soil under its own weight (approximately 30 kN to 60 kN, depending upon
the total length of the unit) with the help of water or air jetting from the nose cone, and the induced vibrations. After
penetration to the required depth, the water flow is reduced and the vibrator is withdrawn in small incremental lifts
ensuring uniform compaction of the soil from depth to grade. Vibro compaction will cause a reduction in volume
of the soil up to 10 %, often leading to substantial reductions in the level of the site surface. If the elevation of the
site is to be maintained, granular material (either imported or from other areas of the site) can be added around the
vibrator. As illustrated in Figure 16.4, the added material gravitates down around the vibrator to the base ofthe hole,
where it is compacted and integrated into the natural subsoil by the action of the vibrator.
Since the vibrations produced at depth emanate from a point close to the bottom end of the vibrator, and since these
vibrations radiate in the horizontal plane, there is little difficulty in achieving uniform densification with increase
in depth. The radial densification of granular soils (even though the vibrations are produced in the horizontal plane)
is limited, however. In well-graded sands, centre-to-centre spacings approaching 3 m to 3.5 m may be sufficient to
achieve a density index in the order of 70 %. Closer spacings can produce density indexes of approximately 90 %
(D' Appolonia, 1953).
The centre-to-centre spacings used for individual sites depend not only on the degree of compaction required, but
also on the material to be densified. While correlations between spacings and compactness condition achieved have
been undertaken, these can only be related to sites having identical soil conditions and where the same type of
250 Canadian Foundation Engineering Manual
vibrator is used. Normally, a spacing of about 1.5 m is required for fine sand. Most of the compaction takes place
within the first five minutes at any given treatment depth.
16.5.3.2 Vibro Replacement in Soft Cohesive Soils and Inorganic Fills
The equipment used in this process is identical to that for Vibro compaction. The vibrator sinks under its own weight,
assisted by vibration (and water or air as a flushing medium) into the ground until it reaches the predetermined
depth. Water is generally used as a flushing medium in fully saturated soils, and compressed air is used in partially
saturated soils. For work in saturated fine sand or silt, it is essential that the water level in the hole is kept at a level
that is at least equal to and preferably higher than the groundwater table throughout the advancement of the hole
and installation of the graveL
During the penetration of the vibrator, the water flowing up along the side of the vibrator washes out the fines in the
soil, leaving the coarser material in the hole. The lost material is replaced incrementally from depth to grade with
charges of coarse-size fill, usually well-graded gravel of size between 10 mm and 80 mrn. The vibrator is repeatedly
withdrawn and reinserted to ensure a uniform result. With each charge of gravel, the vibrator displaces the backfill
horizontally into the native soils, while at the same time, compacting underneath its bottom edge. Repetition of this
procedure forms an irregular, cylindrical gravel column between the bottom of penetration and working grade (see
Figure 16.4).
i ~
(a) ( b) (c)
Ii
"I
I
'f,
: ~
':.
"
' ~
I
:1
l,'
!l
I
Ii
I
.... ",....
WATER SUPPLY
COHESIONLESS sal L
EXTENSION
TUBES
FIGURE 16.4 The principle ofthe Vibro process
The diameter of the compacted column ranges normally between 0.6 m and 1 m and depends mainly on the strength
of the native soil, the sort of flushing medium used to create the hole, and on the time spent to compact and displace
the backfill. Columns are generally installed in a square or triangular grid pattern. The spacing between the column
centres ranges from about 1 m to 3 m and is mainly determined by the degree of improvement required to achieve
the following four basic objectives:
1. to limit total settlements;
2. to reduce differential settlements;
3. to achieve higher bearing capacity; and
4. to increase shear strength. !
Various theories have been proposed for the design and failure criteria of compacted columns (Hughes et aI., 1975).]
One of these theories considers the column as an axially loaded member of frictional material supported by theJ.'
passive resistance of the surrounding native soil. Accordingly, the ratio of .pplied s!re" on the column to p."ive ...... '
l
!
...
Site and Soil Improvement Techniques 251'
restraint is a maximum at the depth of maximum effect. The resulting settlement depends upon the induced radial
strain in the soil when passive resistance develops. Hughes et aI., (1975) indicated that the vertical displacement of
the stone column, within the range of service stresses, is smaller than half the maximum radial strain in the column.
Settlement of a treated area may be estimated by determining a stiffness - 'elastic' modulus or modulus number
(stress exponent usually equal to 0.5) - of the untreated soil and the columns in combination, and performing a
settlement calculation as presented in Chapter 11.
16.6 Lime Treatment
16.6.1 The Action of Lime in Soil
Soil improvement by means of mixing lime into fine-grained soil is probably the oldest of all site-improvement
methods. It was used, for instance, in Roman roads 2,000 years ago. When unslaked lime is mixed into moist soil,
the following four reactions take place:
hydration;
ion exchange;
cementation (pozzolanic reaction); and
carbonation.
Hydration reduces the water content and raises the temperature of the soil. In the process, the shear strength of the
soil increases. The hydration starts immediately and is finished within a short time.
Ion exchange also starts immediately and finishes early. As a result of this process, water-stable aggregates are
formed, which have low compressibility and high permeability compared to the original soil.
The pozzolanic reaction is comparatively slow and continues for a long time. The resulting cementation of the
soil particles results in a considerable shear-strength increase and reduction of compressibility. Carbonation is a
reaction between the lime and air and results in a reduced strength. When the mixing of lime takes place below the
groundwater table, its influence is minimized.
The amount of lime necessary to achieve a maximum improvement of strength and compressibility is about 3 % to
6 % of dry lime per dry weight ofsoil. The lime has to be mixed thoroughly with the soil and quickly, or the reaction
will be incomplete.
16.6.2 Surface Lime Treatment
Surface lime treatment consists of spreading lime on a soil to be stabilized and mixing it with a rotary tiller. The
optimum water content and the liquid limit of the soil will increase and the lime-treated fine-grained soil can be
compacted using a sheepfoot roller or similar equipment. The method is used for wet and soft sites where the soil is
very silty and difficult for construction equipment to travel on. The lime treatment and compaction creates about a
0.2-m-thick layer of soil, which, in addition to being strengthened, has become more pervious. It should be noted,
however, that unslaked lime is dangerous to inhale, and powdered lime spread on the ground may constitute a health
hazard.
16.6.3 Deep Lime Treatment
Lime can be mixed into the soil by means ofspecial equipment, which will produce a column oftreated soil (Broms
and Boman, 1977, 1979; Holm et aI., 1983). The lime column will be capable ofsupporting point loads much greater
than those that the untreated soil can support. When lime columns are placed in a grid pattern over an area, they will
have the combined beneficial effect of both increasing shear strength (bearing capacity) and reducing settlement,
particularly the differential settlement. Furthermore, because of the increased permeability of the lime-treated soil,
the lime columns may act as vertical drains and accelerate the settlement.
252 Canadian Foundation Engineering Manual
Lime columns have been used to support embankments and spread footings; they have been used in trenches both
to retain the trench walls and to support sewage pipes placed in the trench; they have been used in combination with
pile foundations for buildings, where the piles support the structure and the lime columns the ground floor, as well
as the immediate area outside the building; and they have been used to stabilize areas damaged by landslides.
16.7 Ground Freezing
16.7.1 The Freezing Process
Controlled ground freezing for mining and construction applications has been in use for more than a century. This
method may be used in most soil or rock formations, but it is better suited to soft ground than to rock conditions and
is not suitable in coarse gravel, boulder soils, or expansive soils. Freezing may be used for any size, shape, or depth
of excavation, and the same physical plant can be used from job to job, despite wide variation in these factors.
Freezing is normally used to provide structural underpinning, or temporary support for an excavation or to prevent
groundwater flow into an excavated area. As the low permeability frozen earth barrier is constructed prior to
excavation, it generally eliminates the need for compressed air, dewatering, or the concern for adjacent ground
subsidence during dewatering or excavation. However, lateral groundwater flows may result in failure ofthe freezing
program, if not properly taken into consideration during the planning process. Furthermore, though subsidence may
not be of concern, ground movements resulting from frost expansion of the soil during freezing may occur under
certain conditions, and this potential hazard must be considered in the planning.
Freezing can be completed rapidly if necessary, or desirable, although the freezing rate is directly related to overall
costs, and rapid freezing is relatively more costly than slower freezing.
Frozen ground behaves as a visco-plastic material (exhibits creep), whose strength properties depend primarily on
the ice content, the duration of applied load, and the temperature ofthe ground.
I'
!
The refrigeration plant and refrigerant or coolant distribution system may represent as much as 45 % to 60 % of the
'Ii
I,!
direct costs 'of a freezing project. Furthermore, the direct costs, as well as the time required to complete adequate II
freezing, depend to some extent on the type of freezing approach used.
The thermal energy required to freeze ground is directly proportional to the water content of the soil. For coarse-
grained soils, the energy requirements are relatively low, provided no lateral groundwater flow occurs. Infine-grained
silt and clay soils, the energy requirement will normally be higher. As a rule of thumb, the energy requirements
in megaj oules per cubic meter (MJ/m3) of soil frozen will be between 9 and 12 times the percentage of the water
content.
16.7.2 Exploration and Evaluation of Formations to be Frozen
One of the most important factors in devising a freezing system is to thoroughly explore the subsurface formation
to be frozen. If the nature of the subsurface structure is not well known, an adequate and efficient freezing system,
no matter how well it is designed, may not accomplish its purpose.
In order to determine what freezing facilities should be provided to stabilize the subsurface structure, the
characteristics of the materials to be frozen should be ascertained as accurately as possible. This requirement cannot
be stressed too strongly.
The exploration is generally accomplished by the drilling of boreholes, taking samples of material from all zones,
and observing water conditions below ground. A sufficient number ofexploratory holes should be drilled so that the
entire mass to be frozen is covered, and a complete record of the exploratory operations should be kept.
The exploration should supply the following information:
c
Site and Soil Improvement Techniques 253
surfaceconditionsofthefreezingsite;
locationanddepthofboreholes(maintainboreholelogsforinspectionandanalysis);
location,depth,andextentatwhichcompetentandincompetentstrataoccur;
locationandextentofaquifers;
• nature ofmaterials:rock-shale-c1ay-anhydritesetc. atal1 depths;
• w<;l.ter contentinal1 strata;
staticwaterlevelsofeachacquifer;
groundtemperaturesindifferentstrata;
analysisofwaterorbrineineachaquifer;
evidenceandamountofoccludedairor inwaterorairinaquifers;
evidenceofverticalwaterflowsbetweenaquifershavingdifferentstaticlevels;and
• evidenceofhorizontalwaterflowsinaquifersthroughmasstobefrozen.
16.7.3 References
ForadditionalinformationongroundfreezingreferencemaybemadetoGail(1973),LadanyiandJohnston(1973),
Ladanyi(1982),SangerandSayles(1978),andShuster(1972).
16.8 Blast Densification
In favourable circumstances,deep compactionbyblastingcanbe an effective and economic means ofachieving
densificationofloosesaturatedsandysoils.Blastdensificationhasbeenusedtoreduceseepagequantities,increase
bearingcapacity,andreducesusceptibilitytobothstatic- andseismic-inducedliquefaction.
Thegeneralprocedureconsistsof:
advancing a cased hole byjetting, vibration or other means; a borehole 150 mm in diameter is usually
sufficient;uncasedholeswithheavydrillingmudforhole support,andsubsequentlystemming,havealso
beenused;
installing explosives at appropriate depths as drilling casing is withdrawn, or left in disposable plastic
casmg;
backfillingthehole,orstemmingabovethecharges;and
detonationofchargesinapattern,andwithappropriatedelaysbetweencharges.
Blast densification can often offer considerable economic advantages, as the majorpiece ofsite equipment is a
suitabledrillingrig. Suchequipmentisoftenmorereadilyavailableatremotesitesforlessmobilizationcoststhan
theequipmentrequiredforotherdensificationtechniques.
Areal impedimentto the applications ofblastdensification is the lackofcontractors who arepreparedto bid to
a predetermined specification for site improvement. Guidelines for blast densification are largely empirical and
trials are usuallyrequiredto determinethe optimumconfigurationofcharge size, depthanddetonationsequence.
However,realcostsavingsareavailabletoownerswillingtounderwriteanobservationalapproach.
Blastdensification,as in othertechniquessuchasvibroflotation,worksbylocalizedliquefactionofloosesaturated
sand.Whenthesandisliquefied,excessporepressuresarecreatedandthesandsettlestoamorecompactcondition.
Criteriaare available to estimatethe charges requiredto achieve full liquefaction (thatis, a zero effective stress
condition). Blasting is particularly effective ifa loose sand layer is overlain by dense sand which provides a
containmenteffect.Chargesaresetwithinthelooselayerandastand-offdistanceestablishedso asnottoweaken
thesurface dense layer. Charges are oftensetat the one-third to two-thirdspoints within the loose zone. Charge
densitiesof10 g/m3 to30g/m3 ofsoilto bedensifiedare commonlyused.
Aninterestingfeatureofblastdensifications,andonewhichis alsoobservedinvibroflotation,isthatwhilesurface
settlementsoccuralmostimmediatelyafterblasting,resultsofConePenetrationorStandardPenetrationTestsoften
requireseveralweekstoreflectgroundimprovementintennsof thein-situtestmeasurements.
254 Canadian Foundation Engineering Manual
Safety, particularlyin urban environments, is often a perceived, ratherthan areal concern. The chargeperdelay
is oftenrelativelysmall,allowingoff-sitegroundvibrationsto beheldto acceptable limitsusingthe sametypeof
criterioncommonto piledrivingordynamiccompaction.
16.9 Compaction Grouting
Compactiongroutingis the injectionofvery stiff, lowslump (0.25 cmto 3.0cmslump)mortartype grout under
1
,
relativelyhighpressurestodisplaceandcompactsoilsinplace.Recentlyadvances.ingrouttechniqueshaveallowed
theuse ofinjectionusingsiltysoilswithouttheadditionofcement.Thisrequiresthatthesiltysoilsbewellgraded
andthatpumpingtrialsbe carriedout. The technique is usedforstrengthening loose disturbedorsoftsoils under
existing structures, for reduction ofsettlementduring softgroundtunnelling, compactionofsoils for earthquake
liquefactionresistance,andforsinkholefilling anddensification.
I
Groutpipesareusuallyinstalledinapredeterminedpattern(usuallyverticallybutfrequentlyangled)totherequired
depth. Groutispumpeduntil oneofthe followingcriteriaisreached
I
• refusalatapredeterminedpressure,
• amaximumgroutvolume(or'take')isreached,and
groundheaveisobserved.
The resultant injection consists ofa homogenous grout bulb ora series oflinked grout bulbs, which are formed
around the endofthe groutpipes. The injection ofthe groutdisplacesthe in-situsoil and compacts the adjacent
ground.
Theprocessismosteffectiveincohesionlesssoilsbutcanalsobeeffectiveinfinergrainedsoilswheredisturbance
hasoccurred.
QAJQC controlduringconstructionisachievedby:
recordingpressureandgroutvolumes
monitoringofgroundheave
slumptestswherecementis used
• controlmixwhennon-cementmixesareused
16.10 Chemical Grouting
Chemicalgroutingisthepermeationofsandsandgravelswithfluidgroutsto producesandstone likemassesorto
"fill"thevoids andtherebyreducewaterflow. Grouttypesconsist ofsodiumsilicate, acrylates, polyurethaneand
microfinecement. Moretoxicchemicalshaveenvironmentalrestrictions,whichwouldprecludetheiruse.
Sleeve port grout pipes are installed in a predetermined pattern (vertical, horizontal orhorizontal) in a grouted
borehole. Groutis injectedthroughtheportsatspecificdesignedintervalsandratestofullytreatthearea.Avariety
oftheprocessistermed"tubeamanchette"in Europe.
The process is suitable for cohesionless soils particularly clean sands and gravels although some effect can be
achievedinsiltysands. Theapproachisparticularlyusefulintrundling,utilitysupport, andgroundwatercontrol.
QAJQC duringconstructionisachievedbymonitoring:
geltime records,
• flow rates,
pressure,
volumeofinjectionateachinjectionport,
coresamples,
shearwavevelocitymeasurementsusingcrosshole techniques,
waterpressuretesting, and
-'
Site and SoillmprovementTechniques 255
intrusive testing methods such as Standard Penetration Tests.
16.11 Preloading by Vacuum
The principles ofusing vacuum for preloading of soft clayey soils were first introduced in the early 1950s (Kjellman
1952). When a vacuum is applied to a soil mass, it generates a negative pore water pressure. If the total stress
remains unchanged, the negative pore pressure increases the effective stress in the soil and this leads to consolidation.
A schematic of the vacuum preloading method is shown in Figure 16.5.
The working platform consists of a sand layer through which vertical.drains are placed in the soil. The vertical
drains must be above any sand layer to sustain the vacuum pressure. A flexible geomembrane (polyethylene) liner
covers the area and keys into an anchor trench that provides a watertight seal. A perforated pipe system is placed
beneath the liner to collect water. Specially prepared vacuum pumps capable of pumping water as well as air are
connected to the collection system. It is essential that the area be consolidated is totally sealed and isolated from any
surrounding permeable soils to avoid the loss of vacuum. Leaks must also be avoided. Since pinholes or cracks in
the sealing membrane are difficult to locate and repair, the membrane should be covered with water, which will also
minimize potential damage from foot traffic and wildlife. When the required preloading pressure is higher than the
capacity of the vacuum pumps, a surcharge fill may be used in conjunction with the vacuum method, as shown in
Figure 16.5. The fill must be free from stones or sharp objects. If a fill is placed on the membrane liner during the
vacuum period, it may be necessary to add a leak detection system under the liner to help locate leaks.
Vacuum pump
Vertical
Water collection pipe
Fill
•_____ Sand layer
Soft clav
FIGURE 16.5 Schematic ofvacuum preloading system (modified from Shang et al. 1998)
The vacuum method has the following characteristics (Shang et al. 1998): (1) a vacuum pressure of more than 80
kPa (600 mm Hg) can be achieved in practice using available vacuum equipment, which is equivalent to a fi1l4m
to 4.5 m in height; (2) the lateral deformation of soil is inward due to the suction generated by the vacuum (instead
of soil" squeeze-out" encountered in a surcharge prcloading process, tensile cracks·may develop adjacent to the
treated area); and (3) there is no need to control the rate of vacuum application to prevent a bearing capacity failure
because applying a vacuum pressure leads to an immediate increase of the effective stress and hence strengthening
of the soil.
Despite a relatively good understanding of the principles of the vacuum method (Holtz and Wager 1975), the
technique was not used widely in geotechnical engineering practice until the early 1980s, due mainly to high cost.
The technology gained the attention of the Asian geotechnical community in the late 1980s (Qian et al. 1992) due
to advances in geosynthetics and the shortage of land along shorelines. Prefabricated vertical (wick) drains that
are effective, cost efficient and easy to install compared to sand drains, have made the cost of the vacuum method
acceptable.
"
256 Canadian Foundation Engineering Manual
A number of projects have been undertaken in the Netherlands, France, Malaysia, Sweden and China. One of the
largest projects was the East Pier Project in Xingang Port, Tianjin, China (Shang et al. 1998). The soil improvement
2
project was conducted on 480,000 m of reclaimed land using the vacuum preloading method. After 29 months
including a pre10ading period of 135 to 247 days, the average consolidation settlement reached 2.0 m, corresponding
to increases in undrained shear strength of two to four folds, as shown in Figure 16.6. The study showed that the
vacuum method was an effective tool for the consolidation of very soft, highly compressible clayey soils over
a large area. The technique is especially feasible in cases where there is a lack of suitable materials for use as a
surcharge and extremely low shear strength. Access to a power supply for the vacuum pumps is necessary.
16.12 Electro-Osmotic and Electro-Kinetic Stabilization
Electro-osmosis is a technique used for the consolidation and strengthening of soft, saturated clayey soils. When
a direct current (DC) voltage is applied to soil via electrode poles, the soil pore water will be attracted towards the
direction of the negative terminal ( cathode) due to the interaction of the electric field, the ions in the pore water and
the soil particles. If drainage is provided at the cathode and prohibited at the anode, consolidation will be induced
by electro-osmosis, resulting in the lower soil water content, higher shear strength and lower compressibility. In
addition, electrochemical reactions associated with an electro-osmotic process alter the physical and chemical
properties of the soil and lead to a further increase in shear strength (Mitche111993).
Casagrande (1937, 1959) first applied the technique of electro-osmosis to strengthen and stabilize soft silty clays in
the middle 1930s. Since then, successful field tests have been reported that used electro-osmosis to strengthen silty
clays and soft sensitive clays; to stabilize earth slopes and to reinforce steel piles installed in clayey soils (Bjerrum
et al. 1967; Casagrande 1983; La et al. 1991). Electro-osmotic consolidation has been considered for projects
requiring a rapid improvement in the properties of soft clayey soils.
(a) (b) (c)
Water Contenl, % Void Ratloe
00 00 0 2 0 20 60
: : - ...., .. 'T'T" :
o
,2
-4
-6
·10
·12
0
·2
e
.:
.S!
-4
iii
>
-6
-8
·10
·12
0
·2
·4
-6
-8
·10
.12 l
FIGURE 16.6 Soil properties before and after vacuum preloading consolidation,
East Pier Project, Tianjin, China (modifiedfrom Shang et al. 1998)
Site and Soil Improvement Techniques 257
When an open cathode and sealed anode condition is present, a negative pore water pressure is generated upon
the application of a direct current (DC) electrical field. In one dimension, the pore pressure generated by electro-
osmosis, u (x, t ~ (0) (kPa), at a distance x (m) to the cathode is given by (Esrig 1968):
eo
where
Ueo{X) = -
ke
kh
YwU{x) (16.4)
ke (m2/sV) = electro-osmotic permeability
k" (mls)
hydraulic conductivity
9.81 kN/m
3
= unit weight of water
U(X) (V) electrical potential at distance x to the cathode
Additional information on vacuum preloading can be found in Thevanayagam et al. (1994), Thevanayagam and
Nesarajah (1996).
The equation shown above indicates that the pore pressure induced by electro-osmosis is negative and proportional
to the electrical potential (i.e., it has a maximum magnitude at the anode and zero at the cathode). The negative
pore pressure results in an increase in the effective stress in the soil, leading to consolidation, as described in
the conventional consolidation theory. Knowing the pore pressure generated by electro-osmosis, the time rate of
electro-osmotic consolidation can be estimated by conventional consolidation theory.
The electro-osmotic permeability, ke' governs the water flow in a soil mass under an electrical gradient in the shnilar
way as the hydraulic conductivity governs the flow in soil under a hydraulic gradient. When both the anode and
cathode are open to drainage and the hydraulic gradient is set to zero, ke can be determined by measuring the flow
velocity across a soil plug using an empirical relation (Mitchell 1993)
(16.5)
where
qe water flow vector due to an electrical gradient (mls)
E electric field intensity vector, defined as
E=-V'U (16.6)
The power consumption per cubic metre of soil mass per hour is calculated from:
where
p=KE
2
(16.7)
p unit power consumption (kW 1m
3
)
K = electrical conductivity of the soil (l/Qm)
Equation (16.7) indicates that the power consumption of electro-osmotic treatment increases with the soil electrical
conductivity and applied electric field. Table 16.2 summarizes the typical ranges of soil and electrical properties that
are suitable and have been used for electro-osmotic consolidation.
TABLE 16.2 Design Parameters and Common Soil Properties in Electro-osmotic Consolidation
Parameter Unit Typical Range
k
h
, Hydraulic Conductivity mls 10.
1
°-10.
8
ke Electro osmotic Permeability m
2
/sV - 10.
9
K, Electrical Conductivity of Soil simens/m (lInm) 0.01-0.5
E, Electric Field Intensity Vim 20-100
c , Coefficient of Consolidation
v
m
2
/s
1O-qO-7
p, Hourly Power Consumption
I
kWh/m
3
0.01-1
, : ~
~
258 Canadian Foundation Engineering Manual
A two-dimensional electro-osmotic consolidation model was developed by Shang (1998) that can take the effects
of both preloading and electro-osmotic consolidation into account. The most predominant electrochemical effects
during an electro-osmotic process include the development of a pH gradient, the generation of gases and heating.
i
The pH of soil water will increase rapidly to as high as llor 12 at the cathode and decrease to almost two at the
I
anode. Consequently, metallic anodes will corrode. Oxygen gas is generated at the anode and hydrogen gas at the
I
1 cathode due to hydrolytic reactions. The electrical current also generates heating. The seriousness of these effects
is directly related to the applied voltage and current. It is usually desirable to minimize heating effects to reduce
power consumption. It has been found that applying polarity reversal and intermittent (pulse) current can reduce pH
I
gradient and corrosion and increase the electro-osmotic permeability of the soil, thus improving the efficiency of
1
electro-osmotic treatment (Shang et aL 1996).
1
-j
j
The evaluation of electro-osmotic consolidation on a specific soil can be conducted according to the following
:l
i
procedure.
I
1
Determination of parameters
In addition to conventional soil properties such as the grain size, preconsolidation pressure, shear strength, water
1
content, hydraulic conductivity, kv' and coefficient of consolidation c
v
' the parameters required for a treatability
I
analysis include the electro-osmotic permeability, k
e
; electrical conductivity, K; intensity of electric field, E; and
power consumption, p. All these parameters can be determined from laboratory tests prior to field application. Table
16.2 lists the typical ranges of the major parameters for soils that are suitable for electro-osmotic treatment.
I
Electrical Operation System in Field Applications
The electrical operation system can be designed based on the parameters obtained from laboratory tests and from
the geotechnical investigation of the site. Typically, the electrode poles consist of metallic rods or pipes installed
vertically into the ground with prefabricated vertical drains installed at the cathode, as shown in Figure 16.7. The
depth of the electrode insertion should be equal to the thickness of the soil layer to be treated. The upper portion of
the electrodes in contact with the ground surface crust or top drainage layer should be electrically insulated using a
dielectric coating to avoid short-circuiting due to the presence of surface water (Lo et al. 1991).
The material, layout and spacing of electrodes and the applied voltage are ofutrnost importance to a successful field
application. Among the most commonly used conducting metallic materials used, the best results were reported
using electrodes made of iron and copper rather than aluminium (Sprute and Kelsh 1980, Mohamedelhassan and
Shang 2001). Electrodes made of carbon-coated steel rods and graphite have been used in laboratory studies to
prevent electrode corrosion.
The typical spacing between anodes and cathodes reported in the literature ranged from I m to 3 m (Casagrande
1983; Lo et al. 1991). In general, an approximately uniform electric field gives the best results (Casagrande 1983).
To achieve an approximately uniform electric field, the spacing between electrode rods ofthe same polarity should
be much less than spacing of the opposite polarity.
Surcharge q
r + l I I
~ r a l n I
Anode
+ I---
Impervious
L
Calhode H
y
FIGURE 16.7 Schematic ofelectro-osmotic consolidation (modified from Shang 1998)
-"
Site and Soil Improvement Techniques 259
Power supply capacity can be estimated based on the soil's electrical conductivity and electrode layout. It has been
found that a more dramatic voltage drop takes place at the soil-electrode contacts at a higher applied voltage, which
made the treatment less efficient (Casagrande 1983; Shang et aL 1996). It was also observed that the voltage drop at
the soil-electrode interface is affected by the electrode materials (Mohamedelhassan and Shang 2001). Therefore,
a lower voltage applied across smaller anode-cathode spacing is desirable to generate the required electric field and
special attention should be made for the electrode materials and configurations. However, the cost of electrodes
and installation should also be considered. The final design will be based on a balance of the cost of electrodes and
electrode installation as well as the treatment efficiency. For additional information, seeArrnan (1978), Broms (1979),
Mitchell (1981,1993), US. Navy (1983), Van Impe (1989) Hausmann (1990), Micic et aL (2003a, 2003b).
Electro-kinetic stabilization is a hybrid between electro-osmosis and chemical grouting. The infusion of certain
stabilization chemicals into silty and sandy soils is made more efficient by the application of an electrical potential
difference to the soil mass. The procedure is more effective in silty soils that are otherwise difficult to grout ordinarily.
Information on this technique can be found in Brams (1979) and Mitchell (1981). More recently, electrokinetic
assisted chemical stabilization has been applied to offshore calcareous soils (silts and sands) for stabilization of
petroleum platforms (Mohamedelhassan and Shang, 2003, Shang et aL 2004a and 2004b).
260 Canadian Foundation Engineering Manual
Deep Foundations - Introduction
17 Deep Foundations - Introduction
17.1 Definition
A deep foundation is a foundation that provides support for a structure by means oftoe resistance in a competent soil
or rock at some depth below the structure, and/or by shaft resistance in the soil or rock in which it is placed. Piles
are the most common type of deep foundation.
Piles are usually installed to support compression, uplift, or lateral loads from a structure. Although capacity aspects
may be emphasized in design, the foremost reason for using piles is to reduce deformation, normally settlement.
Piles are also used to densify granular soils and so stiffen the soil andlor change the natural frequency of soil under
foundations for machinery, and are essential in situations in which water may scour foundation soils.
Piles can be pre-manufactured or cast-in-place; they can be driven, jacked, jetted, screwed, bored, or excavated.
They can be made ofwood, concrete, or steel, or a combination thereof. Bored piles oflarge diameter are frequently
referred to as drilled piers in Canada.
17.2 Design Procedures
The quality of a deep foundation depends on the installation or construction technique, on equipment, and on
workmanship. Such parameters cannot always be quantified nor taken into account in normal design procedures.
Consequently, it is often desirable to design deep foundations on the basis of test loading of actual foundation units
and to monitor construction to ensure that design requirements are fulfilled.
However, only a few projects are large enough to warrant full-scale testing during the design phase, and, in most
cases, tests (proof-tests) are performed only during or even after construction of the foundation. Therefore, it is
necessary to provide the engineer with appropriate design methods. Chapters 17 through 21 of the Manual present
methods applicable to the various types of deep foundations encountered in practice.
17.3 Pile-Type Classification
The classification ofpile types is governed by a number offactors (see Table 17.1), most ofwhich must be considered
before finalizing a design.
17.4 Limitations
Because of the influence of construction procedures on the behaviour of deep foundations, inspection should be
considered as an integral part ofthe design ofdeep foundations and should be carried out by the engineer responsible
for the design.
Deep Foundations - Introduction 261
TABLE 17.1 Pile-Type Classification
Factor Subgroup
Concrete; steel; wood. 3. Material
1. Installation Driven; bored; cast in-situ; excavated; augered.
2. Displacement Displacement; low-displacement; non- displacement.
i
4. Function
5. Capacity
6. Shape
Shaft bearing; toe bearing; combination.
High; moderate; low,
Square; round, hexagonal; octagonal; H-section; Tapered.
7. Environment Land; marine; off-shore.
8. Inclination Vertical; battered.
9. Length Long; short.
10. Structure Bridges; buildings; platforms; towers; machinery; etc.
.,...
262 Canadian Foundation Engineering Manual
Geotechnical Design of Deep Foundations
18 Geotechnical Design of Deep Foundations
18.1 Introduction
The design method used for a particular deep foundation will depend on the soil in which it lays, whether it is
cohesive (clay) or cohesionless (sand), and whether the pile toe bears on soil or rock. In addition, each pile design
should be based on considerations of both ultimate limit states (load capacity) and serviceability limit states
(expected deformations or settlements). In the sections that follow, consideration is given to the geotechnical axial
capacity (Section 18.2) and settlement (Section 18.3) of piles in soil, the lateral capacity (Section 18.4) and lateral
movement (Section 18.5) of piles in soil, and the geotechnical axial capacity (Section 18.6) and settlement (Section
18.7) of piles bearing on rock. Both single pile behaviour for isolated piles and multiple pile behaviour for pile
groups are examined.
I
1
18.2 Geotechnical Axial Resistance of Piles in Soil at Ultimate Limit States
j
18.2.1 Single Piles· Static Analysis
1
1
This section ·considers the geotechnical axial capacity of piles embedded in soil. Piles derive their load-carrying
J
capacity from both toe and shaft resistance. The relative contribution ofeach to the total capacity ofthe pile depends, j
essentially, on the density and shear strength of the soil and on the characteristics of the pile.
The geotechnical axial capacity of a single pile, R, can be estimated by summing the shear stresses along the shaft,
I
qs' adding the bearing capacity of the pile toe, qt' and subtracting the pile weight, viz.
I
L
(18.1)
1 R I,Cqst.z+A,ql Wp
z=o
l
!
where
j
the pile of circumference, C, and embedded length, L, is subdivided into segments of length, b.z, and the pile
·1
,
toe has area, AI' and pile weight, Wp.
The factored geotechnical axial resistance at ultimate limit states is taken as the ultimate axial capacity (R) multiplied
by the geotechnical resistance factor (<D) of 0.4 for compression and 0.3 for uplift (see Tables 8.1 and 8.2 in Chapter
8).
18.2.1.1 Cohesionless Soils
For cohesionless soil, the unit shaft friction at any depth z along the pile is given by
q =(J' K tan (5 = R(J'
(18.2)
s v s v
-'
j
Geotechnical Design of Deep Foundations 263
and the bearing capacity of the pile toe is
s
q
=N (5'
I I I
(18.3)
where
~
a combined shaft resistance factor
K coefficient of lateral earth pressure
(5 vertical effective stress adjacent to the pile at depth z
8 the angle of friction between the pile and the soil
Nt
bearing capacity factor
5 ~
vertical effective stress at the pile toe
The value of Ks is influenced by the angle of shearing resistance, the method of installation, the compressibility,
degree of overconsolidation and original state of stress in the ground, as well as the material, size and shape of
the pile. It increases with the in-situ density and angle of shearing resistance of the soil and with the amount of
displacement. It is higher for displacement- type piles than for low-displacement-type piles such as H-piles. For
bored piles, Ks is usually assumed equal to the coefficient of earth pressure at rest, Ko. For driven displacement-type
piles, Ks is normally assumed to be twice the value of Ko'
The value of 0 depends on the surface roughness of the pile, which depends on the pile material (steel, concrete.
wood), the mean particle size of the soil, the normal pressure at the pile-soil interface and method of installation. It
ranges from 0.5 to 1.0 ~ .
The combined shaft resistance coefficient ~ generally ranges from 0.20 to 1.5 as indicated in Table 18.1 - see
Fleming et al. (1992) for further discussion.
TABLE 18.1 Range ofj3 Coefficients
Soil Type
Cast-in-Place
Piles
Driven Piles
Silt 0.2 - 0.30 0.3 - 0.5
Loose sand 0.2 - 0.4 0.3 - 0.8
Medium sand 0.3 - 0.5 0.6 - 1.0
Dense sand 0.4 - 0.6 0.8 -1.2
Gravel 0.4 - 0.7 0.8 - 1.5
O'Neill and Reese (1999) indicate that ~ decreases as the bored (cast-in-place) pile length increases in sands and
gravels. The values in Table 18.1 could be considered average values for rather long piles.
The toe bearing capacity factor Nt depends on soil composition in terms of grain size distribution, angularity and
mineralogy of the grains, natural soil density, and other factors. Typical ranges of values for Nt are given in Table
18.2.
TABLE 18.2 Range ofNt Factors
Soil Type
Cast-in-Place
Piles
Driven Piles
Silt 10 - 30 20-40
Loose sand 20-30 30 - 80
Medium sand 30-60 50 - 120
Dense sand 50 - 100 100 -120
Gravel 80 - 150 150-300
264 Canadian Foundation Engineering Manual
Remarks
i. The toe response ofbored piles is certainly softer than for driven piles. However, it may be argued that this
is a serviceability issue and not a capacity issue. The toe capacity is only governed by the geological nature
of the deposit near the pile toe rather than the method of installation. Thus, the Nt value for both cast-in-place
and driven piles should be the same and equal to those given in Table 18.2 for driven piles. In the absence of
test loading, a factor of safety of at least three should be applied to any theoretical computation.
ii. Both q and a' may continue to increase with increasing depth, but at a decreasing rate. For practical
sr.
design purposes, it is advisable to adopt limiting values of both qs and a: for long piles in cohesionless soils
(Poulos et al., 2001). Jardine and Chow (1996) and Jardine et aL (1998) provide a method to estimate qs in
cohesionless soils based on the use of the cone penetrometer, in which the cone resistance is used to estimate
radial effective stresses after pile installation and accounts for effects of soil dilation at the pile-soil interface
and pile compressibility. The method also accounts for the effect of pile depth. This method should be used
whenever CPT tests can be conducted.
18.2.1.1(1} Tapered Piles
For tapered piles, the skin friction at any station along the pile shaft can be calculated by (Wei & EI Naggar 1998):
q = K,K a! tan 0 (18.4)
s s v
The taper coefficient K, is introduced to capture the taper effect and in the case of cylindrical piles K, =1. The taper
coefficient for cohesionless soil is a function of the internal friction of the soil, pile-soil interface friction angle, 8,
taper angle, e, the pile geometry, settlement level and the effective overburden pressure. The taper coefficient K, is
given by (EI Naggar and Sakr 2000):
K = tan(e +0 ) cot(o ) + 4G tanee) tan(e +0 ) coteS )Sy
(18.5)
t
1+ 2l;; tan(e) tan(e +0 ) (1 + 2l;; tan(e) tan(e +0 ) )Kpv
where
G =the shear modulus ofthe sand, t; = In (r/r) in which rm the average pile radius and r
l
is a radius at which
the shear stress becomes negligible and is taken to be equal to 2.5L (I-v) where v = Poisson's ratio of the
soil, and Sr is the pile settlement at the ultimate load as a ratio of its diameter = 0.1. The effective overburden
pressure has a profound effect on K, as it decreases quickly with an increase in a ' For practical tapered piles
v
length, K may be taken as two.
f
18.2.1.1 (2) Layered Soils under the Pile Toe
For piles bearing on layered soils, the toe capacity should be estimated with due consideration. Meyerhof (1976)
and Meyerhof and Sastry (1978) considered three cases of layered soil profiles. In the first case, where a weak soil
layer over lies a dense sand layer, the full toe capacity is not developed until the pile penetrates six diameters into
the dense sand (Meyerhof and Sastry 1978). The toe capacity can be assumed to decrease linearly from the value
for the dense sand layer to the value for the weak layer for a penetration distance less than six pile diameters. In
the second case, a weak layer underlies a dense sand layer and the toe capacity would be affected if the pile toe is
less than three times the pile toe diameter above the weak layer (Matsui 1993). The toe capacity can be assumed
to decrease linearly from the value for the dense sand layer to the value for the weak layer for a distance less than
three pile diameters.
In the third case, the dense sand layer is sandwiched between two weak layers and their effects must be considered
together.
18.2.1.2 Cohesive Soils
Design methods for piles in fine-grained soils are in some cases of doubtful reliability. This is particularly so for the
Geotechnical Design of Deep Foundations 265
bearing capacity of shaft-bearing piles in clays of medium-to-high shear strength. Because of this, pile test loading
should be carried out where economically justified or, alternatively, an adequate factor of safety should be used.
Piles in cohesive soils and bearing on stiff soils may mobilize substantial toe resistance, which, for large-diameter
bored piles, may represent the usable capacity of the pile.
18.2.1.2(1) Total Stress versus Effective Stress Approach
Until recently it was the general practice to evaluate the capacity of piles in clay from a total stress approach, i.e.,
on the basis of the undrained shear strength, su' of the clay. Empirical correlations between Su and the toe-and-shaft
resistance on a pile have been developed, but these have not proved reliable, particularly for Su in excess of about
25 kPa. Therefore, analysis in terms of effective stresses is more rational, i.e., the same method as used for piles
in cohesionless soils applies in all details. Burland (1973) provides a detailed discussion on relevant values of
Skempton (1951) and Ladanyi (1963) present discussion and values of Nt' The relationship in Subsection 18.2.1.1
may be used in design with the following values:
= 0.25 - 0.32 (18.6)
N
t
3 -10 (18.7)
For tapered piles, Blanchet et al. (1980) suggest using = 0.5 to 0.6.
18.2.1.2(2) Shaft Resistance in Clays with Su < 100 kPa
A pile driven in clay with undrained shear strength smaller than 100 kPa derives its capacity almost entirely from
shaft resistance. It is still common practice to determine the ultimate shaft resistance of a single pile using total
stress analysis from the formula:
(18.8)
where a adhesion coefficient ranging from 0.5 to 1.0.
Figure 18.1 shows the adhesion coefficient as a function of the undrained shear strength of the clay. However, the
actual resistance depends significantly on the geometry of the foundation, the installation method and sequence,
the properties of the clay, and time effects. The capacity of piles determined from the above formula should be
confirmed by test loading.
1.2 -up-;:'lit-:::"1
it
\ Tomlinson 1957
l.0
0.8
0.6
0.4
0.2
. (concrete piles) • Data group 1
_ u .. Dalagroup2
,. ca.Datagroup3
" • Sbafts in uplift
t:I .I 0 Data group 1
• a Data group 2
a.. a
.1\a a 0
A •
•
o
65U&41C
load tests
o L-__ __ ___ __ ___
o 50 100 150 200 250 300
Undrained Shear Strength, Su (kN/m
2
)
FIGURE 18.1 Adhesion as a function ofundrained shear strength
L
266 Canadian Foundation Engineering Manual
18.2.1.2(3) Shaft Resistance in Clays where Su > 100 kPa
A pile driven in clay with an undrained shear strength in excess of 100 kPa derives its capacity from both shaft and
toe resistance. However, the shaft resistance of such a pile cannot be predicted with any degree of reliability because
little is known of the effect of driving on the resistance and on the final effective contact area between clay and pile.
For preliminary design, the relationship given in Section 18.2.1.2 can be used. For final design purposes, however,
it is suggested that the pile capacity be determined by test loading.
Large-diameter bored piles (with or without enlarged belled bases, or under-reamed shafts) are successfully used
in clays or cohesive soils where Su > 100 kPa. Present design methods have been derived from extensive studies
on bored piles in London clays. Considering the special properties of these soils, the generalization of empirical
design parameters to other types of soils should be made with caution. Bored piles are also used in argillaceous
intermediate geomaterials (cohesive earth materials), such as hard clays and clay-based rock (e.g., Queenston shale
formations). Hassan et al. (1997) provide a method to estimate q
s
and q
I
that accounts for the pile-geomaterial
interface roughness and the initial effective stress at the interface. For bored piles in porous sandstone, the methods
provided by Seidel (1993) and McVay et al. (1992) are more suitable.
18.2.1.2(4) Toe Resistance
The ultimate toe resistance may be estimated from:
(18.9)
where
R[ toe resistance
AI cross-sectional area of pile at toe
su minimum undrained shear strength of the clay at pile toe
N, a bearing capacity coefficient that is a function of the pile diameter, as follows:
Pile toe diameter N,
smaller than O.Sm 9
0.5 m to I m 7
larger than 1 m 6
In very stiff clays and tills, where samples are difficult to retrieve and the undrained shear strength is not easily
measured, a pressuremeter may be used to evaluate the strength of the soil.
18.2.1.3 Stratified Deposits
The relative contribution ofthe various strata penetrated by a pile to the capacity ofthat pile is primarily a function
of the relative stiffness of these layers andof the type of pile. Static analysis for totafaxial capacity essentially
involves calculating contributions ofvarious unit shaft resistance values, qs' associated with the different strata that
the pile penetrates and the end-bearing associated with the stratum containing the pile toe.
Furthermore, it is important to install the top of the pile a distance of at least four diameters into any stiffer clay
stratum so that the full value N, 9 can be used, and to watch for the presence of a weaker stratum below the toe
which could reduce the toe resistance.
18.2.1.4 Helical (Screw) Piles
The basic form of a helical pile or anchor for construction applications consists of a helically shaped bearing plate
or multiple plates attached to a central shaft. Historically, helical piles or anchors have been used in relatively light
load applications, with shaft diameters and helix diameters typically less than 100 mm and 400 mm respectively.
Geotechnical Design of Deep Foundations 267
Recentlyhowever,throughthedevelopmentofhigh-capacitytorquedrives(inexcessof50,000ft-Ibs) thatareused
forhelicalpileinstallation,largerdiametershaftsandhelixeshavebeenconstructedand installed.
Wheninstalled to properdepth andtorque, thehelicalplatesactas individualbearingelementsto supporta load.
Thehelicalpileis thereforeadeep, end-bearingfoundationthatcanbeusedtoresistbothcompressiveandtension
loads. Installationofhelicalpiles is accomplishedbyhydraulictorquedrivesthatcanbemountedtojustaboutany
typeofmachine (e.g. bed-mounteddrillrigs,rubber-tiredbackhoes,skid-steerloaders,mini-excavators,andtrack-
hoeexcavators).
Thetotalcapacityof thehelicalpileoranchorequalsthebearingcapacityof thesoilappliedtotheindividualhelical
plate(s)and,in someinstances,theskinfrictionoftheshaft.Thisis:
(18.10)
Totalmulti-helixpilecapacity
Capacityduepileshaftskinfriction
Theevaluationofthesecomponents is describedfurtherbelow.
Thefactoredgeotechnicalaxialresistanceatultimatelimitstatesistakenastheultimateaxialcapacity(R)multiplied
bythe geotechnicalresistance factor (<l» ofOA forcompressionand0.3 for uplift(Tables 8.1 and 8.2 inChapter
8).
18.2.1.4(1) Helical Plate(s) Bearing Capacity
Thetotalcapacityofanend-bearinghelicalpileisevaluatedas thesumofthecapacitiesofeachindividualhelical
plate(s).Thehelicalpilecapacityisthusdeterminedbycalculatingtheunitbearingcapacityofthesoilandapplying
it totheindividualhelicalplate(s)areas,i.e,
Q
h
Ah(suNc + yDhNq+ O.5yBN
y
) (18.11)
Individualhelixbearingcapacity Q
h
(,.-
Projectedhelixarea
Su undrainedshearstrengthofthesoil
y Unitweightofthe soil
Dh Depthtohelicalbearingplate
B diameterofthehelicalplate
N ,NandN Bearingcapacityfactors forlocalshearconditions
c q y
Thetotalhelicalplatescapacity,Qt' canbe expressedas:
(18.12)
The bearing capacity equationis applicable only when the helical bearingplates are.spacedfar enough apart, at
leastthree times the diameterofthe helix, to avoid overlapping oftheir stress zones. In cases involving
overlapping stress zones, the multi-helix capacity can be determined by computing the bearing capacity ofthe
bottomplate,andthecylindricalshearcapacitydevelopedbetweenthe upperandlowerplate(s).Theformulation
providedbelowwithrevisionofpileshaftdiametertoeffectivehelixdiametermaybeconsidered.
18.2.1.4(2) Capacity Due to Skin Friction
Theskin friction along thepileshafttypicallyisnotconsideredinthetotalcapacityunlesstheshaftis at least 100
mmindiameter(orequivalentdiameter).Thecapacityduetoskinfriction canbecalculatedas follows:
2GS Canadian Foundation Engineering Manual
(18.13)
Qf Frictional resistance of pile
D Diameter of pile shaft
fs Sum of friction and adhesion between soil and pile
LlL Incremental pile length over which ltD and fs are taken as constant
f
18.2.1.4(3) Relationship of Load Capacity to Installation Torque
An estimate of the helical pile ultimate capacity may be achieved through monitoring of installation torque.
Recording of installation torque can also serve as a quality control step, identifying piles that did not achieve the
expected installation torque and may require load testing. The relationship between the load capacity and installation
torque, which was developed based on pullout tests on helical piles, can be described using the following empirical
equation:
KyxT (18.14)
where
R Ultimate capacity of screw pile
Ky
Empirical torque factor
T Average installation torque
The value of Kymay range from 31ft to 201ft ifT is recorded in ft-lbs, or 101m to 331m ifT is recorded in N-m. The
selection ofKyis dependent upon the soil conditions and anchor design including plate and shaft diameter. For small
sized square shaft anchors (less than 90 mm diameter), the Ky value has been found to range from 101ft to 121ft with
101ft (331m) being the recommended default value. For pipe shaft anchors (90 mm O.D. pipe), the recommended
default value is 71ft (231m), with this value decreasing to 31ft (lO/m) for shaft diameters approaching 200 mm.
Torque monitoring tools are available to provide a suitable method of production control during installation. As a
quality assurance measure, it is recommended that the engineer specifies a required torque during construction.
Installation torque is primarily a function of the frictional resistance along the shaft, the frictional resistance along
the top and bottom surfaces of the helical plate(s), and the passive resistance along of the leading edge(s) of the
plate(s). Although soft zones at depth may not influence the recorded torques, they may adversely impact the load
carrying capacity ofthe helical pile. As a result, a good understanding ofthe ground conditions around pile(s), within
and extending beyond the zone that is expected to be stressed as a result ofloads on the pile(s) is important.
18.2.2 Pile Groups. Static Analysis
It is common practice to define the axial capacity ofa pile group relative to the sum of the capacities ofthe individual
piles in the group. Group 'efficiency' is defined as the ratio of the group capacity to this sum of the individual pile
capacities.
18.2.2.1 Cohesion less Soils
Driven piles in cohesionless soils develop larger individual capacities when installed as a group (group efficiency
> 1) since lateral earth pressure and sand density increase with the driving of additional piles. Therefore, it is
conservative to use the sum of the individual pile capacities as an estimate of the pile group capacity.
For bored pile groups, the individual pile capacity is reduced by the addition of the extra piles, since the boring
process reduces sand density and lateral earth pressures (efficiency is < 1).
For bored pile groups, a reduction factor (Meyerhof (1976) suggests 0.67 for piles in clean sand) may need to be
Geotechnical Design of Deep Foundations 269
applied to the sum of individual pile capacities. However, for piles in sands with some fines (e.g., silty sands) and
if the cap is firmly in contact with the soil and spacing of the piles is less than 4.5d (where d = pile diameter) the
group efficiency is 1.0.
18.2.2.2 Cohesive Soils
In addition to the possibility that individual piles in a pile group act independently to support the applied load, a
closely spaced pile group, can act as a 'block' whereby the soil between adjacent piles is dragged down between
them, shaft resistance develops around the perimeter of the group only, and end-resistance develops under the whole
ofthe pile-soil block. A rational approach to estimating pile group capacity is to use the minimum of a) the sum of
the individual pile capacities and b) the capacity ofthe pile- soil block analysed as an equivalent single pile. For this
block capacity calculation, an average unit shaft resistance, qs' must be calculated since for zones on the perimeter
where there is soil-soil contact, q = s and for zones where there is soil-pile contact, q = as. The block perimeter
sus u
is the circumference, C, of the equivalent pile, and the area of the block base is taken as the base area, At' of the
equivalent pile.
18.2.3 Single Piles - Penetrometer Methods
18.2.3.1 Limitations
Field test data are often available in the form of static or dynamic penetration resistance. Clearly, it is appealing
to generate predictions of axial capacity directly from penetration resistance, rather than from more fundamental
soil shear strength parameters. Caution must be exercised however, given that this attempted simplification may
disregard the complexity of both the penetration tests themselves and the axial pile response.
18.2.3.2 Cone Penetration Test
The axial capacity of deep foundations in soils can be computed from the results of a static cone penetration test
(CPT). The test is suitable for a large range ofsoils provided adequate pushing force is available for sufficient depth
qf penetration.
The ultimate geotechnical axial capacity of a single pile can be estimated using the basic equation given in Section
18.2.1 and estimating the unit base resistance, qt' and unit shaft resistance, qs' from
(18.15a)
(I8.I5b)
where
qc cone penetration resistance (units of stress) from CPT
qca = equivalent cone penetration resistance at pile base according to Figure 18.2
kc bearing capacity factor based on soil type and pile type (Table 18.3)
(J. friction coefficient (Table 18.4)
• •
270 Canadian Foundation Engineering Manual
FIGURE 18.2 CPT method to determine equivalent cone resistance at pile base
(after Bustamante and Gianeselli, 1982)
This approach is based on extensive full scale pile load test data from France (Bustamante & Gianeselli, 1982) and
supported by pile load test data in North America (Robertson et al., 1988; Briaud & Tucker, 1988). The scaling
effect to account for the difference in size between the cone penetrometer and the pile and the method of installation
is accounted for in the selection of k and a. using Tables 18.3 and 18.4.
c
The method developed by Lehane and Jardine (1994) and Jardine and Chow (1996) is especially useful in estimating
qs for piles driven in cohesionless soils using the cone penetrometer measurement. The method accounts for effects
of soil dii"ation at the pile-soil interface and pile depth and compressibility. It should be used whenever CPT tests
are conducted. The ultimate axial capacity for design is influenced by the number of CPTs performed, the observed
variability of the test results and the local experience available. Caution should be exercised when designing piles
in sensitive clays.
TABLE 18.3 Bearing Capacity Factors, k
c
•
Soil Type
Soft clay and mud <1
Moderately compact clay 1 to 5
Silt and loose sand $5
Compact to stiff clay and compact silt >5
Soft chalk $5
Moderately compact sand and gravel 5 to 12
Weathered to fragmented chalk >5
Compact to very compact sand and gravel > 12
* Note:
Factors kc
0.4 0.5
0.35 0.45
0.4 0.5
0.45 0.55
0.2 0.3
0.4 • 0.5
0.2 0.4
0.3
I 0.4
i. Group 1: Plain bored piles, mud bored piles, micro piles (grouted under low pressure), cased bored piles, hollow auger
bored piles, piers and barrettes.
ii. Group II: Cast-in-place screwed piles, driven precast piles, prestressed tubular piles, driven cast piles, jacked metal
piles, micropiles (grouted under high pressure with diameters < 250 mm).
-'
Geotechnical Design of Deep Foundations 271
The factored geotechnical axial resistance at ultimate limit states is taken as the predicted ultimate capacity multiplied
by the geotechnical resistance function (<1» of 0.4 for compression and 0.3 for uplift (Table 8.1 in Chapter 8).
TABLE 18.4 Friction Coefficient, a.
0.Q35 0.015 < 1 30 90 90 30 0.015 0.015 0.015 Soft clay and mud
0.035 0.035 0.035
0.08 ~ 0.12 1-5 40 80 40 80
0.Q35
Moderately compact clay
(0.08) (0.08) (0.08)
Coefficient a Maximum Limit of qc (MPa)
::;5 60 150 60 120 0.035 0.035 0.035 0.035 0.08
Compact to stiff clay and
Silt and loose sand
0.035 0.035 0.035
~ 0 2 0 >5 60 120 60 120 0.035 0.08
(0.08) (0.08) (0.08) compact silt
::;5 100 120 100 120 0.035 0.035 0.035 0.035 0.08
Moderately compact sand and
Soft chalk
0.08 0.035 0.08
~ 0 2 5-12 100 200 100 200 0.08 0.12
(0.12) (0.08) (0.12) gravel
0.12 0.08 0.12
>5 60 80 60 80 0.12 0.15 ~ 0.2 Weathered to fragmented chalk
(0.15 (0.12) (0.15)
Compact to very compact sand 0.12 0.08 0.12
~ 0.2 > 12 150 300 150 200 0.12 0.15
(0.15) (0.12) (0.15) and gravel'
Note: Bracketed values of maximum limit unit skin friction, qs' apply to careful execution and minimum disturbance
of soil due to construction.
* Category:
IA
Plain bored piles, mud bored piles, hollow auger bored piles, micropiles (grouted under low pressure), cast-in-
place screwed piles, piers and barrettes.
IB Cased bored piles, driven piles.
IIA Driven precast piles, prestressed tubular piles, jacked concrete piles.
IIB Driven metal piles and jacked metal piles.
IIIA
IIIB
Driven grouted piles and driven rammed piles.
High pressure grouted piles with diameters> 250 mm and micropiles grouted under high pressure.
18.2.3.3 Standard Penetration Test
The ultimate geotechnical axial capacity of a single pile in granular soils can be estimated from the results of the
Standard Penetration Test (SPT) as suggested by Meyerhof (1976).
..
272 Canadian Foundation Engineering Manual
"'·1'·
,
R =mNA
I
+NA
s
(18.16)
where
R pile capacity
M an empirical coefficient equal to 400 for driven piles and to 120 for bored piles
N SPT index at the pile toe
A = pile toe area
I
n an empirical coefficient equal to two for driven piles and to one for bored piles
N::;;
average SPT index along the pile
A pile embedded shaft area
s
Decourt (1995) developed a more comprehensive correlation of the shaft and toe resistance of piles with the SPT
value. He suggested the following expressions:
qs =(J. (2.SN
60
+ 10) (kPa) (lS.17a)
ql = b ~ (kPa)
(lS.17b)
where
(J. 1 for displacement piles in any soil and non-displacement piles in clays, and 0.5 to 0.6 for non-
displacement piles in granular soils.
!!..t;o = average SPT index (normalized to 60 % energy efficiency) along the pile shaft
Nb = average of SPT index in the vicinity of the pile toe
Kb = is a base factor given in Table IS.5.
TABLE 18.5 Base Factor, Kb (Decourt, 1995)
Soil Type
Sand
Sandy silt
Clayey silt
Clay
Displacement
Piles
325
205
165
100
Non-Displacement Piles
165
115
100
80
The Standard Penetration Test has significant limitations (see Chapter 4), and care must be exercised when using
the test results. For this reason and when using working stress design, a minimum factor of safety of four should
be applied to the calculated capacity unless local experience indicates otherwise. For factored geotechnical axial
resistance of ultimate limit states, it is suggested that the ultimate axial capacity be multiplied by a geotechnical
resistance factor of 0.3.
18.2.4 Single Piles· Dynamic Methods
18.2.4.1 Introduction
The objective when dealing with the dynamic methods of pile design is to relate the dynamic pile behaviour
(acceleration or driving resistance) to the ultimate static pile resistance. Care should be taken when using these
methods, since they may ignore the effects of 'set up' in soft clays (dynamic methods usually provide estimates
of pile capacity just after driving), downdrag (see next section) and serviceability issues (whether expected pile
settlement is acceptable).
<
Geotechnical Design of Deep Foundations 273
18.2.4.2
Axial Capacity Based on Dynamic Monitoring
The capacity of a single pile can be estimated by means of dynamic measurements. The reliability of this estimate
of the capacity, under favourable conditions, can be almost equal to that of a routine static loading test. The
measurements and the evaluation of the data must be carried out by a person competent in this field. For more
details, see Chapters 19 and 20.
18.2.4.3 . Geotechnical Axial Capacity Based on Wave-Equation Analysis
The wave-equation analysis (which is discussed in Chapter 19) is a tool for determining pile bearing capacity,
pile driveability, and for hammer selection. The wave equation requires accurate input of several hammer and
soil parameters that can vary widely from case to case. Hammer-rated energy can differ substantially from actual
measurements, and the soil parameters are 'model-dependent' empirical values and not rational properties that
can be measured independently. Unless there is calibration to field measurements, the analysis can only be used to
provide general guidance.
18.2.4.4 Dynamic Formulae
The assumptions made in the dynamic formulae are oversimplified, and the results cannot always be related to actual
pile capacity. One reason is that the dynamic formulae input hammer-rated energy and not the actually delivered
energy and this results in considerable error. Nevertheless, when used by competent persons and related to local
experience, a dynamic formula can still serve as a guide to engineering judgement. However, dynamic formulae are
best replaced by other techniques.
18.2.5 Negative Friction and Downdrag on Piles
When piles have been installed in or through a clay deposit that is subject to consolidation, the resulting downward
movement of the clay around the piles, as well as in any soil above the clay layers, induces downdrag forces on the
piles through negative skin friction. The magnitude of settlement needed to cause the negative skin friction is very
small. For instance, observations by Fellenius and Broms (1969) and Fellenius (1972) of negative skin friction on
piles in a 40 m thick clay layer indicate that the relative movement required can be smaller than a millimetre. Such
small relative movements occur easily as a result of the large stiffness difference between the pile and the soil.
Therefore, with time, small movements or strains will occur in any portion of a pile and positive resistance along a
lower portion of a pile are the norm rather than the exception.
The simplest method for computing the negative skin friction is to assume that it is proportional to the undrained
shear strength of the soil (Terzaghi & Peck, 1967).
q
n
= as
II
(18.18)
where
qn unit negative skin friction
a a reduction coefficient ranging from 0.5 to 1.0
Su the undrained shear strength after the soil has consolidated under the new load and therefore should
be estimated from CU tests representative ofthe expected overburden pressure.
Field observations on instrumented piles have shown that the negative skin friction is a function of the effective
stress acting on the pile and may be computed in the same way as the positive shaft resistance, as detailed in
Subsection 18.2.1.1. In most clays and silts, the magnitude ofthe negative skin (shaft) friction approximates to a
factor of about 0.2 to 0.3.
The total drag 10ad,Qn' for a single pile is:
(18.19)
274 Canadian Foundation Engineering Manual
where
C shaft circumference or perimeter length
D = length of pile embedded in settling soil.
11
Alternatively, elastic methods can be used. These methods suggest how downdrag relates to settlement (for example
Poulos & Davis, 1972), and provide a means for estimating the maximum downdrag force and its development with
time. Various theoretical solutions are available for single piles (Poulos & Davis, 1980).
18.2.5.1 Design Considering Downdrag
The design must consider the structural axial capacity, the settlement and the geotechnical axial capacity of the
pile. The downdrag increases the structural loads in the pile and thus has to be accounted for when evaluating the
structural ultimate limit state of the pile. The downdrag also increases the pile settlement and therefore should be
accounted for when evaluating the serviceability limit state of the pile. However, the downdrag has no effect on the
geotechnical axial capacity of the pile. It is important to realize that drag load and transient live load do not combine,
and that two separate loading cases must be considered: permanent load plus drag load, but no transient live load;
and permanent load and transient live load, but no drag load. Furthermore, a rigid, strong pile will have a large
drag load, but small settlement, whereas a less rigid and less strong pile will have a smaller drag load, but larger
settlement. Also, no pile subjected to down drag condition will settle more than the ground surface nearest the pile.
As a first step in the design of the pile, the neutral plane must be determined. The neutral plane is located where the
negative skin friction changes over to positive shaft resistance. It is determined by the requirement that the sum of
the applied dead load plus the drag load is in equilibrium with the sum of the positive shaft resistance and the toe
resistance of the pile. The location of the neutral plane governs both the maximum load in the pile and the settlement
of the pile.
18.2.5.1(1) Neutral Plane
The neutral plane is found as the intersection of two curves. First, as illustrated in Figure 18.3, a load distribution
curve is drawn from the pile head and· down with the load value starting with the applied dead load and increasing
with the load due to negative skin friction acting along the entire length ofthe pile. Second, a resistance distribution
curve is drawn from the pile toe and up, starting with the value of ultimate toe resistance and increasing with the
positive shaft resistance.
LOAD AN D RESI STANCE SETTlEMENT DISHI8UTION
DISTRISVTlON
ELASTIC
PILE HEAO .---r'--------.r-'i>
GROUND SURFACE
SETTLEMENT
SeTTLEMENT
PILE TOE - - ~ i £ - - - - ~ - - - - I - - l - -
aJ bJ
FIGURE 18.3 Calculation ofthe location ofthe neutral plane and the settlement ofa pile
or a pile group (after Fellenius, 1984a)
Geotechnical Design of Deep Foundations 275
The determination ofthe load distribution in a pile is subject to uncertainty. Reliable information on the soil strength
is required when determining the load distribution. It is recommended that the theoretical analysis adopting the
method in Section 18.2.1.1 be used. The analysis should be supplemented with information from penetrometer tests,
such as the SPT and the static cone penetrometer. For driven piles, the analysis should be combined with results
from the analysis of dynamic monitoring data.
18.2.5.1 (2) Structural Axial Capacity
The structural axial capacity of the pile is governed by its structural strength at the neutral plane when subjected
to the permanent load plus the drag load; transient live load is not to be included. At or below the pile cap, the
structural strength of the embedded pile is determined as a short column subjected to the permanent load plus the
transient live load, but drag load is to be excluded.
At the neutral plane, the pile is confined, and the maximum combined load may be determined by applying a
safety factor of l.5 to the pile material strength (steel yield ancl/or concrete 28-day strength and long-term crushing
strength of wood).
Ifthe negative skin friction and the positive shaft resistance as well as the toe resistance values are determined, assuming
soil-strength values 'err' on the strong side, the calculated maximum load on the pile will be conservative.
18.2.5.1(3) Settlement
As illustrated in Figure 18.3b, the settlement of the pile head is found by drawing a horizontal line from the neutral
plane, as determined according to the foregoing method, to intersect with the curve representing the settlement
distribution in the soil surrounding the pile. The settlement of the pile head is equal to the settlement of the soil at
the elevation of the neutral plane plus the elastic compression of the pile due to the applied dead load and the drag
load (FeUenius, 1984a).
One condition for the analysis is that the movement at the pile toe must be equal to or exceed the movement required
to mobilize the ultimate toe resistance ofthe pile. In most soils, this required movement is equal to about 1 % to 2 %
of the pile toe diameter of driven piles and about 5 % to 10 % of the toe diameter for bored piles. Ifthe movement
is smaller than this required magnitude, the neutral plane will move higher up in the settlement diagram and the
settlement will increase correspondingly. If this occurs, the magnitude of the settlement will normally be negligible
and correspond to the elastic compression of the pile.
The settlement calculation should be carried out according to conventional methods (see Chapter 11) for the
effective stress increase caused by dead load on the pile(s), surcharge, groundwater lowering, ancl/or any other
aspect influencing the stress in the soil. The dead load applied to the pile cap should be assumed to act at an
equivalent footing located at the level ofthe neutral plane and the load distributed from this plane. The settlement of
the pile cap is the sum of the settlement ofthe equivalent footing and the compression ofthe piles above the neutral
plane. Note that Figure 18.3 does not show the settlement due to the dead load acting on the equivalent footing at
the neutral plane.
The accuracy ofthe calculation of the distribution of settlement depends on the reliability of the input data, which in
turn depends on the completeness of the site investigation program. It is imperative that representative samples be
obtained from all soil layers, including those below the pile toe, and that the strength and compressibility properties
of the soil be determined in the laboratory. In-situ testing methods such as vane tests and static cone-penetrometer
tests will enhance the laboratory testing.
For the case in which the structure is built before the pore pressures induced by the pile installation have dissipated,
it is necessary to estimate the additional settlement caused by the pore pressure dissipation.
276 Canadian Foundation Engineering Manual
18.2.5.1(4) Geotechnical Axial Capacity
The last part ofthe design is to check the safety against plunging failure of the pile. In this case, the pile moves dOwn
along its entire length and the downdrag is eliminated. Therefore, the load is the combination of the dead load and
the live load, no drag load, and the case is similar to that of designing the allowable load of a pile not in a downdrag
condition.
As stated by Fellenius (l984a), when the capacity has been determined using the static loading test or the dynamic
testing method, a factor of safety of2.0 or larger ensures that the neutral plane is located below the mid-point of the
pile. When the capacity is calculated from soil-strength values, the factor of safety should not be smaller than 3.0.
18.2.5.1(5) Special Considerations
Downdrag on piles caused by negative skin friction is most often a settlement problem and rarely a capacity problem.
According to the method recommended in this Section, the service load should not be reduced by any portion of the
drag load unless required by insufficient structural strength ofthe pile at the location ofthe neutral plane, or in order
to lower the location of the neutral plane (reducing settlement).
When settlement occurs around a pile or a pile group, piles that are inclined will be forced to bend by the settling
soil. For this reason, it is advisable to avoid inclined piles in the foundation, or, at least, to limit the inclination of
the piles to values that can follow the settlement without excessive bending being induced in the piles. Furthermore,
piles that are bent, doglegged, or damaged during installation will have a reduced ability to support the service load
in a down drag condition. Therefore, a design carried out according to this section postulates that the pile installation
will be subjected to stringent quality control to ensure that the installation is sound.
18.2.5.1 (6) Downdrag in Groups of Vertical Piles
Briaud and Tucker (1997) examined downdrag effects on groups of vertical piles. They indicated that downdrag
effects may be approximated by considering the downdrag stresses on the perimeter of the group, unless the piles
are very widely spaced.
18.2.5.2 Means for Reducing Downdrag
When the pile settlement is excessive and the solutions, such as those of increasing the pile length or decreasing the
pile diameter, are not practical or economical, the downdrag acting on the piles can be reduced by the application
ofbituminous or other viscous coatings to the pile surfaces before installation (Fellenius, 1975a, 1979). For cast-in-
place piles, floating sleeves have been used successfully. Briaud and Tucker (1997) provide some useful provisions
for reducing downdrag forces in piles.
18.2.6 Uplift Resistance
Pile foundations must sometimes resist uplift forces and should be checked both for resistance to pullout and their
structural ability to carry tensile stresses. The ultimate uplift resistance of a pile is equal to the shaft resistance that
can be mobilized along the surface area of the shaft. For bored piles in clay soils, the uplift resistance is commonly
assumed to be equal to that contributing to the bearing capacity of the pile as described in Section 18.2.1 (O'Neill
& Reese, 1999).
For either bored or driven piles in cohesionless soils, qs in the uplift is about 75 % to 80 % ofits value in compression
(EI Naggar & Sakr, 2001; O'Neill, 2001). However, for piles with high residual stresses as a result of the driving
the actual shaft resistance in uplift (pile in tension) is considerably smaller (about half) compared to the apparent
resistance in compression. In such cases, the applied factors of safety should be double those applied in the case
of compression. The uplift resistance of tapered piles in cohesionless soils is comparable to the uplift resistance of
cylindrical piles with the same average embedded pile diameter (EI Naggar & Wei, 2000).
Geotechnical Design of Deep Foundations 277
When piles are built primarily to resist uplift forces, the pullout resistance can be increased by providing one or
. more sections whose diameter is larger than the average pile diameter. Expanded base piles, underreamed and multi-
underreamed piles, and screw- piles are typical.
The most reliable way of designing piles subjected to uplift loads is by means of uplift testing. The tests should be
designed and carried out in accordance with ASTM designation D3689.
The uplift resistance of a pile group is the lesser of the two following values:
the sum of the uplift resistance of the piles in the group; and
• the sum of the shear resistance mobilized on the surface perimeter of the group plus the effective weight of
soil and piles enclosed in this perimeter.
18.2.7 Other Considerations
18.2.7.1 Axial Capacity Based on Test Loading
The design of piles based on theoretical or empirical methods, as described above, is subjected to some uncertainty
including:
• soil properties that cannot be measured with great accuracy and are variable within a building site;
the correlation between the soil parameters and the bearing capacity of a pile includes a margin of error;
and
the actual driving or installation conditions vary from pile to pile and cannot be properly taken into
account.
Therefore, the best method ofassessing the bearing capacity ofpiles is to test-load typical units. General considerations
on the use ofload tests, the recommended methods oftesting, and interpreting the test results are given in Chapter
20.
18.2.7.2 Compacted Concrete (Expanded-Base) Piles
Compacted concrete piles in granular soils derive their bearing capacity from the densification of the soil around the
base due to the installation process. The bearing capacity of such piles is, therefore, dependent on the construction
method, and the capacity value used should be supported by documented local experience and/or static test
loading.
18.2.7.3 Piles Installed by Vibration
Piles may be installed in soils with little cohesion using a vibratory device attached to the top of the pile. This
method has two advantages over conventional driving: it is relatively quiet and produces less excessive vibration
levels. Installing piles by vibration is facilitated by weakening the soil strength along the pile shaft (likely due to
liquefaction) and no densification effect is realized due to the installation.
The capacity of piles installed using vibration can be established using static analysis and using the provisions for
bored piles. The capacity of these piles cannot be estimated from driving records and thus, their capacity has to be
verified by dynamic analysis of restrike blows to all or a specified percentage of the piles.
18.2.7.4 Augured Cast-In-Place-Piles
The augured cast-in-place (ACIP) or continuous flight auger (CFA) pile system was developed in the USA in the late
1940s. Today, the method is in wide use throughout the world, including Canada. ACIP piles must be installed by an
experienced contractor who is familiar with the augercast process and local geology and soil conditions. ACIP piles
278 Canadian Foundation Engineering Manual
can be designed as bored piles. At least one pile load test should be conducted to confirm the pile capacity.
18.2.7.5 Soil Set-Up and Relaxation
In some soils, the capacity of driven piles is subject to change with time during or following driving. In dense,
saturated, fine-grained soils, such as non-cohesive silts and fine sands, the ultimate capacity may decrease after
initial driving. This is known as relaxation. In this case, the driving process is believed to cause the soil to dilate,
thereby generating negative pore pressures and a temporary higher strength. When these pore pressures return to
normal, the resistance reduces.
On the other hand, temporary liquefaction, which causes a reduced resistance to pile penetration, may also occur in
saturated fine sands or silts. The probability of liquefaction is greater in loose sands, but liquefaction can occur even
in dense material, if there is a sufficient number of stress cycles, ifthe magnitude of the stress is large enough, or if
the confining pressure is low. After the temporary pore pressures dissipate, long-term capacity is indicated by the
return to a higher resistance to pile penetration.
Because the resistance to pile penetration may increase (due to soil set-up), or decrease (due to relaxation), it is
essential that re-striking be carried out once equilibrium conditions in the soil have been re-established. The need for
re-striking should be recognized in the contract specifications. The time for the return of equilibrium conditions can
be determined by trial and error or from pore pressure dissipation tests performed during a pause in the penetration of
a cone penetration test where pore pressures are measured (piezo-cone test) (Robertson et al., 1990). The resistance
developed in the first five blows of re-striking is generally indicative of the equilibrium resistance.
However, conclusions on soil set-up from re-striking without simultaneous measurement of developed energy and
stresses are highly unreliable, and test loading may be required to appraise the final capacity. The effects of soil set-
up should be treated with great caution in large pile groups. Also, soil set-up cannot be quantified by re-striking piles
that have been driven to a penetration resistance greater than about 2 mm to 3 mmlblow in initial driving.
Piles driven into cohesive soils induce some disturbance, which is a function of:
• the soil properties, in particular its sensitivity to remoulding;
the geometry of the pile foundation (diameter ofpiles , number, and spacing of piles in the groups); and
• the driving method and sequence.
The disturbance results in a temporary loss of strength in some soils and a corresponding reduction of support
provided by the piles (see Fellenius & Samson, 1976; Bozozuk et al., 1978a; Clark & Meyerhof, 1972aJb). In some
cases, such as in soft sensitive clays, complete remoulding of the clay may occur. The effect of the remoulding
diminishes with time following driving, as the soil adjacent to the pile consolidates. This results in an increase in the
capacity of the pile occurring at a slower rate around a concrete or steel pile as opposed to a wooden pile.
Test loading of a pile in fine-grained soil should not be carried out without knowledge of these processes. It is
advisable to delay testing for at least two weeks after driving.
18.2.7.6 Porewater Pressures Induced by Driving
Pile driving in clay generates high porewater pressures, the effects of which are to:
temporarily reduce the bearing capacity ofthe piles (and of adjacent piles);
• affect the process of reconsolidation of the clay around the pile, thereby making it necessary to delay the
application of the load. Delays of 30 days and more are not unusual (Blanchet et al., 1980);
• drastically alter the natural stability conditions in sloping ground. (There have been a few examples of
major landslides triggered by pile-driving operations.)
Geotechnical Design of Deep Foundations 279
If necessary, stability can be monitored with instrumentation of the clay layer for measurement of porewater
pressures and soil displacements during driving. Alternatively, porewater pressures can be reduced by the use of
proper driving techniques and sequences (preboring is an efficient way to reduce porewater pressures and soil
displacements); and the use of vertical pre-manufactured drains attached to the surface of the piles, or preferably,
installed at the site prior to the pile driving (see Holtz & Bowman, 1974).
18.2.7.7 Heave Due to Pile Driving
When piles are driven in clays, the volume of soil displaced by the pile generally causes a heave of the soil surface.
The heave of adjacent piles may also occur, and could result in a reduction in the capacity of these piles. This
problem is of particular significance when large pile groups are driven.
18.2.7.8 Construction Effects for Bored Pier
In deep large-diameter excavations for cast-in-place piles, or when the concreting is delayed, significant strength
reductions may occur as a result of heave and lateral flow within the excavation. Also, poor slurry construction
techniques that leave a thick layer of slurry between the pile and surrounding soil can have a detrimental effect on
shaft capacity. These factors should be considered during the design.
18.2.7.9 Penetration Resistance
The penetration per blow (the set) decreases rapidly after a resistance of 5 mmJblow for shaft-bearing piles and
3 mmJblow for toe-bearing piles. There is little justification in requiring sets smaller than 3 mmlblow for a end-
bearing pile that may only be warranted if driving is easy in the soil above the bearing stratum, or under special
circumstances.
18.3 Settlement of Piles in Soil
18.3.1 Settlement of Single Piles
Many factors influence the settlement of single piles, so it is difficult to make precise estimates of settlement of
single piles or pile groups. In general, the shaft resistance is mobilized with very little movement, typically 5 mm
to 10 mm, whereas the toe resistance when embedded in soil requires longer movements typically between 5 % and
10 % of the pile diameter. Hence, the actual load-settlement response of a single pile is a function of the relative
contributions of shaft and toe resistance, the ground conditions and the method of pile installation. However, a
number of empirical and theoretical solutions have been developed that can be used to make reasonable estimates
of pile response.
18.3.1.1 Empirical Method
For normal load levels, the settlement of a pile may be estimated from the empirical formula (Vesic, 1970, 1977):
s=s
p
+s
s
(18.20)
in which
s =s +s (l8.21a)
S ss sl
S
where
S
p
elastic deformation of pile shaft
S
s
settlement of ground in which the pile is embeded
S
ss
settlement of pile caused by load transmitted along the pile shaft
sl
settlement of pile toe caused by load transmitted at the toe
280 Canadian Foundation Engineering Manual
The elastic deformation of the pile shaft is given by:
(I8.2Ib)
where
actual load transmitted to the pile toe (due to applied load)
actual shaft load (due to applied load) ..
depends on distribution of skin friction = 0.5 for uniform or parabolic distribution and 0.67 for
linear distribution
total length of the pile
average cross-section area of the pile
modulus of elasticity of the pile material
Alternatively, the pile shaft compression can be approximated by:
(18.22)
where
QL = applied pile load.
The settlement components due to soil deformation are given by;
(18.23)
(18.24)
where
C empirical coefficient (typical values given in Table 18.6)
1
d pile diameter
C = 0.93 + 0.16 (L/d)o.5 (18.25)
s
TABLE 18.6 Typical Values o/Coefficient C( (Vesic, 1977)
Soil Type Driven Plies Bored Piles
Sand (dense to loose) 0.02-0.09 0.09-0.18
Clay (stiff to soft) 0.02-0.03 0.03-0.06
Silt (dense to loose) 0.03-0.05 0.09-0.12
18.3.1.2 Elastic Continuum Solutions
Poulos and Davis (1980) provide a comprehensive set ofresults for both floating and end-bearing piles. For example,
the settlement of a pile in a deep layer of uniform elastic material is expressed as:
(18.26)
Geotechnical Design of Deep Foundations 281
where
E soil modulus
s
10
settlement influence factor, Figure 18.4
RK
compressibility correction factor, Figure 18.5
R
v
Poisson's ration correction factor, Figure 18.6
The factors 10' RK and Rv are obtained using analysis based on Mindlin's solution for a vertical point load applied
within an elastic half-space. They are dependent on pile length to diameter ratio LId, base diameter area ratio
RA (ratio of pile section to area bounded by outer pile circumference), pile modulus , and compressibility
K RAE/E
s
'
Further factors are available to correct the settlement for the effects of end-bearing onto a stiffer soil as well as finite
thickness of the soil stratum in which the pile is floating. The nonlinear pile response can also be modelled by taking
into account pile-soil slip.
1· 0
0·8
0·6
0·2
0·1
0,08
0-06
0·04
0·02
10 20 30 40 50
-
I
I
!
,
..-
f---- -.. -- --
" ..-.. 1-. ---,
[--"
-
i
Valu.,
of
db/d
I
I
I
I
,
,
I
I
I
I
•
.
.---1---
,
I
,
--
"
J
....
" .t--l
-......-......-
r
++1
o
j [ J
For lid'" 100
10 :: 0·0254
For 3 1 ___
I I Ia I
FIGURE 18.4 Settlement-influence/actor, 10 (after Poulos and Davis, 1980)
·4
282 Canadian Foundation Engineering Manual
2
100 1.000 1QOoo
K
FIGURE 18.5 Compressibility correction factor for settlement, RK (after Poulos and Davis, 1980)
1· 00 r------,r----,.-----,.----,.----::...,
o 0·2 0'3 0'5
FIGURE 18.6 Poisson's ratio correctionfactor for settlement, R (after Poulos and Davis, 1980)
v
Randolph (Fleming et ai., 1992) developed a closed form solution for 10 for piles in a soil with a modulus that
increases linearly with depth, given by
1+ I _8_ tanh (J.LL) !::..]
[
1
0 = 4(1 +v) 'itA (1-v)
J.LL d
(18.27)
4 4rcp
tanh (J.LL) !::..]
[
(I-v) +l;
J.LL d
in which
'Ill did, db is the diameter of the pile toe; EslEb whereE
sL
is the soil modulus at the pile toe and Eb is the
modulus of the bearing stratum underneath the pile toe; p = E1EsL and
E
A=2(1+v)-L...
(18.28)
ESL
s = In{[0.25 + (2.5 p(l-v) 2:}
(18.29)
Geotechnical Design of Deep Foundations 283
].lL - 2[_2J (18.30)
- ~ A o 5 d
When applying the above elastic solutions, the immediate or undrained settlement (for pile in clay) is calculated
with undrained ESL values and v 0.5. For total final settlement calculations in sand or clay, drained values of ESL
and v s are used.
To employ an elastic c.ontinuum solution of this type, the soil profile must be simplified appropriately and elastic
properties for the soil must be estimated, in particular the secant modulus Es for working load levels. Poulos and
Davis (1980) suggest average values of Es for driven piles in sands, a value of v of 0.3 (where no test data are
available) and, for driven piles, a value for soil modulus below the pile toe of 5Es to 10E
s
' For clays, Callanan and
Kulhawy (1985) indicate that Eslsu ranges from 200 to 900, with an average of 500. Greater values may occur for
shorter piles where L < 15d. Poulos and Davis (1980) also provide an empirical correlation between Es and Su for
piles in clay. Alternatively, the pile settlement theory can be used to back-calculate representative soil parameters
using results from field tests on model or prototype piles. Kulhawy and Mayne (1990) provide a great deal of
information regarding the estimation of soil parameters for foundation design.
F or layered soil profiles, it is adequate for most practical purposes to replace the layered soil along the pile shaft
with an equivalent homogeneous soil, using a weighted average, i.e.:
(18.31)
where
n is the number of layers and E
j
and hi are the elastic modulus and thickness of layer i, respectively. The
modulus of the soil at the pile base may be taken as the average of the soil modulus within a distance equal
to 2 ~ below the pile toe.
It is important to note that the relevant mechanical properties ofthe soil are modified as a result ofpile installation,
in particular for driven piles. Consequently, the values of Es used in design are not equal to values obtained from
laboratory tests on intact specimens; typical values derived from experience as mentioned above should be used in
the absence of local experience.
Nonlinear Analysis: For floating piles (which derive most of their resistance from shaft friction), linear elastic
solutions are generally adequate. However, for end-bearing piles (which derive a substantial proportion of their
resistance from the toe), the load-settlement behaviour is strongly nonlinear even at normal working loads. For such
cases, Poulos and Davis (1980) developed an approximate procedure that involves the construction of a tri-linear
load-settlement curve. In this procedure, the shaft and toe ultimate resistances are estimated and used to construct
the load-settlement curve of the pile.
18.3.1.3 Load-Transfer Method
Soil data are measured from field and laboratory tests and presented in the form of curves relating the ratio of
adhesion to soil shear strength and to the soil movement. Coyle and Reese (1966) developed the method to estimate
load settlement response for the pile. This method accounts for the continuity of the soil mass in an approximate
manner as the curves are established from field measurements, which inherently contain the continuity effects.
The load transfer method is particularly useful in modeling the load-deformation performance of piles that display
strong nonlinear behaviour such as very long compressible piles. O'Neill et al. (1977) extended the method to
model the performance of pile groups. A disadvantage of this method is the difficulty in obtaining load- transfer
curves at a particular site.
Q
284 Canadian Foundation Engineering Manual
1
18.3.2 Settlement of a Pile Group
i
18.3.2.1 Introduction
In groups of closely spaced piles, individual piles interact so that loads applied to any particular pile will lead to
the settlement of other piles in close proximity. This interaction leads to an overall increase in pile group settlement
and the redistribution ofloads on individual piles. Elastic analysis of the pile interaction can be used to establish to
what extent the shear resistance ofthe soil causes an unloaded pile to settle as a result of loads applied to an adjacent
pile (e.g., Poulos & Davis, 1980; Randolph, 1987; El Sharnouby & Novak, 1990). These solutions can be used to
predict pile group response taking into account the pile cap stiffness and its influence on load distribution within
the group.
It is also useful to approximate the pile group as an equivalent single pier, particularly when there is a large number
of piles in the group or the influence of an underlying compressible stratum is to be estimated, (e.g., see Terzaghi
& Peck, 1967; Poulos & Davis, 1980). However, this has generally been found to predict settlement that greatly
overestimates the actual values (uneconomical pile lengths will then result where settlement governs the design).
18.3.2.2 Empirical Methods for Piles in Sand
The settlement of a pile group is evaluated on an empirical basis and it has been found that the methods are
less reliable than those used for single piles because of the limited reference data available. For pile groups in
cohesionless soil, two empirical methods are available:
Vesic's Method
The ratio of the settlement of the pile group with width, B, to that of the individual pile with diameter, d, (Vesic,
1970) is:
Sgroup fB)
(18.32)
Sindividual = Vld)
Meyerhof's Method
The settlement ofa pile group, Sgroup in millimetres, may be related to the standard penetration N ofthe soil (Meyerhof,
1976) by:
(18.33)
where
q = equivalent net vertical foundation pressure, in kPa, detennined from q = QILB, whereQ is total load
transferred to piles, and Land B are the length and width respectively of the plan area of the pile group
B = pile group width, in metres
I = an influence factor ranging from 0.5 to 1.0, (refer to Meyerhof, 1976).
18.3.2.3 Empirical Method for Piles in Clay
I
For the evaluation of the settlement of pile groups in homogeneous clay, Terzaghi and Peck (1967) assumed that
I
:1
the load carried by the pile group is transferred to the soil through an equivalent footing located at one third of the
·il
pile length up from the pile toe (Figure 18.7). The load is assumed to spread into the soil at a slope of2V:1H under
the assumption that the equivalent footing is the top of the frustum of a pyramid. The settlement calculation for the
1 equivalent footing then follows the methods described in Chapter 11. The Terzaghi and Peck method usually results
'I
in settlement values that greatly overestimate the actual values. Therefore, where settlement considerations govern
I
!
the design, the method may result in uneconomical pile lengths.
".1
I Field tests and long-tenn settlement observations of piles in the sensitive clays of the St. Lawrence Valley suggest
that the assumption of an equivalent footing placed at the lower third-point is not representative of the actual
4
-- - -
-
-
,
D/3
,
\
Geotechnical Design of Deep Foundations 285
settlement behaviour of a pile group. Blanchet et aI., (1980) report that the settlement of a pile group was due
mainly to reconsolidation of the clay after driving and to shear creep deformation with little if any consolidation
settlement. However, for large pile groups and pile groups supporting bridge abutments the consolidation settlement
may become the main source of settlement.
All piles have a neutral plane located at some level in the soil, where an equilibrium exists between the loads on the
pile above the neutral plane and the shaft-and-toe resistance below the neutral plane. The loads consist of the service
load (dead load, only) and down drag due to negative skin friction. The negative skin friction is caused by shear
creep deformation in combination with the large stiffness difference between the soil and the pile (Fellenius, 1984a).
Accordingly, the settlement calculation of a pile group, or of a single pile, in a soil not undergoing consolidation
settlement from causes other than from the service load, follows the same approach as given for piles in soil where
consolidation settlement from other causes does occur in the soil around the piles.
In clay soils, reconsolidation can take an appreciable time, i.e., more than a year for large pile groups, and the pore-
pressure dissipation occurring during the reconsolidation will cause settlement. Therefore, the settlement analysis
must include the effect of the reconsolidation of the soil around the piles after the pile driving.
Q Q
J
(
q
B L
I J. J. J.J..\..
r--
,; .
\1.
EQUIVAL ENT FOOTING
D
/
\
-
-
/
I
/
/
z
,j
1---B, L----1
I
1 (B+z)(Ltz) 1 ,
/
\
V *
i i
\"
i
Q
i i i i
'i:
I \
/1 I. ..I \\
,
I
,
/
FIGURE 18.7 Stress distribution beneath a pile group in homogeneous clay using the equivalent
footing concept (after Terzaghi and Peck, 1967)
18.3.2.4 Interaction Factors Method
Piles in close proximity interact, so that load PI' on one pile with settlement S1 results in a settlement aS
1
of an
adjacent pile where a is called the 'interaction factor'.
Total settlement of a pile j in a group of n piles:
n
Sj =
(18.34)
j;1
<
286 Canadian Foundation Engineering Manual
where
S the settlement of pile j
J
S the settlement of a pile under unit load, evaluated using one of the procedures from
"
Section 18.3.1
the load on pile i
= the interaction factor relating settlement of pile j to load on pile i. They are found using elastic
theory, provided in Figure 18.8 for floating piles from Poulos and Davis (1980). Other solutions
are available for end-bearing piles ..
An accurate analysis of settlement of pile groups, based on elastic theory has to be done using a suitable computer
program, i.e., Poulos and Randolph (1982); EI Naggar and Novak: (1990). The methods based on elastic theory,
however, should not be used in situations involving downdrag, creep or significant deep-seated settlement.
Furthermore, it is only applicable within the working load level.
18.3.2.5 Pile Cap Conditions
Two simplified pile cap conditions can be examined using the general settlement equation shown above:
A rigid pile cap, where all piles settle an equal amount but loads on individual piles are not known.
A flexible pile cap, where the loads on each pile are known and each pile has different settlement.
The flexible pile cap problem is solved by using the settlement equation directly. The rigid pile cap problem is
solved using the n general equations (one for each pile) and the known total load applied to the pile group, which
is the sum of the individual loads:
n
~ o t = L ~ (18.35)
i=1
There are then n+l equations with n+l unknowns (P
p
P
2
, '---- Prr' S). In addition to the group settlement S, the .
individual pile loads are evaluated.
18.4 Lateral Capacity of Piles in Soil
Vertical piles resist lateral loads or moments by deflecting until the necessary reaction in the surrounding soil is
mobilized. The behaviour of the foundation under such loading conditions depends essentially on the stiffness of
the pile and the strength ofthe soil.
The horizontal load capacity of vertical piles may be limited in three different ways:
the capacity ofthe soil may be exceeded, resulting in large horizontal movements of the piles and failure of
the foundation;
• the bending moments and/or shear may generate excessive bending or shear stresses in the pile material,
reSUlting in structural failure of the piles; or
• the deflections of the pile heads may be too large to be compatible with the superstructure .
All three modes of failure must be considered in design. There is much room for improvement of these design
methods, and often the best method is still the one based on well-planned and well-executed lateral test loading.
4
Geotechnical Design of Deep Foundations 287
o-e : 10
2 3 4 5
0-2 0-15
V,,, 0-5
0-05 o
%
FIGURE i8.8a Interaction factors for jloatingpiles, Lld=10 (after Poulos andDavis, 1980)
1-0
\
\
"'
,
\
0'8
,
,
0-6
<IF
0-4
0-2
00
0-15 0-05 o
FIGURE i8.8b Interactionfactorsfor jloatingpiles, Lld=25 (after Poulos andDavis, 1980)
FIGURE 18.8c Interactionfactors for floating piles, Lld=50 (after Poulos andDavis, 1980)
c
288 Canadian Foundation Engineering Manual
0-15 0-05 o
FIGURE i8.8d Interaction factors for floating piles, Lld= 100 (after Poulos and Davis, 1980)
18.4.1 Broms' Method
Various static analyses oflateralload capacity have been reported, including those of Brinch-Hansen (1961). Broms
(l964a,b) has presented solutions in graphical form (see Figures 18.9 and 18.10) for uniform clay and sand strata.
In each case, two types of pile failure are examined:
'short' pile failure where the lateral capacity of the soil adjacent to the pile is fully mobilized; and
'long' pile failure where the bending resistance of the pile is fully mobilized.
Solutions are based on a number of simplifying assumptions that cover the magnitude of lateral soil pressures and
their distribution along the pile. Results are given for: a pile of diameter d and embedded length, L; lateral load
capacity Hu; yield moment of pile, Myield; clay cohesion, c
u
; coefficient of passive sand resistance, Kp; height of
lateral load above groundline, e; and soil unit weight, y.
Poulos (1985) has extended Broms' solutions to consider lateral load capacity for piles in layered clay soils.
18.4.2 Pressuremeter Method
Considering the close analogy between the behaviour of soils around a horizontally loaded pile and around a
pressuremeter probe, an empirical method for determining horizontal resistance R}, from pressuremeter test results
has been proposed by Menard (1962). According to this method, the ultimate horizontal resistance of a short head-
restrained pile may be expressed by:
(18.36)
ultimate horizontal resistance of pile
limit pressure from pressuremeter test
embedment depth of pile
pile diameter
G
Geotechnical Design of Deep Foundations 289
200
160
Hu
120
:TI"'·' _+-/+-1_'
-11- d
I
a) ShortPile
o 4 8 12 16 20
Embadmant Langth. LId
__
"0
c..
"
::I
::c
Hu
a L ==-___ Rastrainad
100
...
o
.!1
<I'l
{'<
-Il-d
b)Long Pile
tJ
0::
o
I-
+"
o
..J
tJ
.....
o
E
FIGURE 18.9 Ultimate lateral resistance ofpiles in cohesionless soils (after Broms, 1964b)
Q
i
290 Canadian Foundation Engineering Manual
I/)
cr:
a
L
a) Short Pile
tJ
o 20
-.J
Cj
.....
a X)
E
o 4 8 12 16 20
(a) Embqdmqnt Lrzngth Lid
N
U
:J 100
o
"-
I 60
v. 40
c
o
20
Rrzstrainqd. ---
Frqrz haadad
t--t--r----t---
8
6 16 ---t---i
1
b) Long Pile
10
a
L
(j
.....
lH o
....J
t:J
.....
o
E
11-1----1
1 d
34 6 10 20 AO 60 100 300 600
FIGURE 18.10 Ultimate lateral resistance ofpiles in cohesive soils (after Broms, 1964a)
cq
Geotechnical Design of Deep Foundations 291
18.5 Lateral Pile Deflections
The response of a pile to lateral loads is highly nonlinear and methods that assume linear behaviour (e.g., theory of
subgrade reaction and theory of elasticity) are appropriate only where maximum pile deflections are small (less than
1 % of the pile diameter), where the loading is static (no cycling) and where the pile material is linear (e.g., steel).
In most practical applications, one or more of these conditions are not met and methods that can model the pile and
soil non-linearity are called for.
Thep-y curves (unit load transfer curves) approach (see Reese etal., 1974) is a widely accepted method for predicting
pile response under static loads because of its simplicity and practical accuracy. The method allows the analysis of
a pile's response to lateral static, cyclic or even transient loads (El Naggar and Bentley 2000). The method is briefly
described in the following section.
18.5.1 The p-y Curves Approach
Based on model tests, p-y curves relate pile deflections to the corresponding soil reaction at any depth (element)
below the ground surface. The p-y curve represents the total soil reaction to the pile motion. It represents the
relationship between the static soil reaction, p, and the pile deflection, y, for a given p-y curve at a specific load
I
level. The p-y curves are established using empirical equations (Matlock, 1970; Reese & Welch, 1975; Reese et
aI., 1975). The shape of the p-y curve can be estimated based on laboratory results and back calculation of field
performance data (Matlock, 1970; Murchison & O'Neill, 1984; Gazioglu & O'Neill, 1984) or based on in-situ test
results (Baguelin, et al., 1978; Briaud, et aI., 1983; Robertson, et al., 1986) or curve fit to measured strain data using
an accepted method such as the modified Ramberg-Osgood model (Desai & Wu, 1976).
The general procedure for computing p-y curves in clays both above and below the groundwater table and
corresponding parameters are recommended by Matlock (1970) and Bhushan et al. (1979), respectively. The p-y
relationship was based on the following equation:
n
(18.37)
=0.5 L
( )
where P" . Yso
p soil resistance
y deflection corresponding to p
n a constant relating soil resistance to pile deflection
Y50 corrected deflection at one-half the ultimate soil reaction determined from laboratory tests.
P ultimate soil resistance, is the minimum of:
/I
P = 3s + yxd + Js x (18.38a)
U Ii 1I
or
P =9sd (18.38b)
II !I
where
S II the undrained shear strength
y the effective unit weight of the soil
J = an empirical coefficient dependent on the shear strength. A value ofJ = 0.5 is typically used for soft
clays (Matlock 1970) and J = 1.5 for stiff clays (Bhushan et aI. 1979).
The most commonly used criteria for development of p-y curves for sand were proposed by Reese et al. (1974)
but tend to give very conservative results. Bhushan et al. (1981) and Bhushan and Askari (1984) used a different
procedure based on full-scale load test results to obtain nonlinear p-y curves for saturated and unsaturated sand.
Bhushan and Haley (1980) and Bhushan et al. (1981) developed p-y curves for different sands below and above the
water table. The secant modulus approach is used to approximate soil reactions at specified lateral displacements.
In this approach, the soil resistance in the static p-y curve model can be calculated using the following equation:
p = (k)(x)(y)(F1)(F2) (18.39)
4
292 Canadian Foundation Engineering Manual
where
k a constant that depends on the lateral deflection y (i.e., k decreases as y increases)
and relates the secant modulus of soil for a given value ofy to depth (Es=kx)
x is the depth at which the p-y curve is being generated
Fl andF2 are density and groundwater (saturated or unsaturated) factors, respectively, and can be
determined from Meyer (1979)
The main factors affecting k are the relative density ofthe sand (loose or dense) and the level oflateral displacement.
The secant modulus decreases with increasing displacement and thus the nonlinearity of the sand can be modeled
accurately. This analysis assumes a linear increase of the soil modulus with depth (but varies nonlinearly with
displacement at each depth) that is typical for many sands.
The actual soil response is a function ofthe pile installation and soil type. Methods used to estimate the non-linear
p-y curves do not always account for changes in ground conditions due to pile installation. Some techniques have
been proposed whereby a pressuremeter is installed in a manner that simulates the pile installation and the non-
linear p-y curve determined from the subsequent pressuremeter test (Robertson, et aI., 1986).
Various methods for modeling laterally loaded piles that employ the p-y curve method or the strain wedge method
(Ashour et aI., 1998; Ashour & Norris, 2000) are encoded in computer programs that are available on the market and
are efficiently used to analyse the nonlinear lateral response of piles. Most of these computer programs account for
soil and pile nonlinearity and can handle static, cyclic or transient loading. Furthermore, they calculate the bending
moment and shear forces along the pile shaft, which are required for the structural design of the pile. Some of the
available programs are LPILE (Reese & Wang, 1997), SWM (Ashour et aI., 1998) and FLPIER (McVay et aI.,
1992). For cases where the load is transient (impact loading, seismic loading, etc.), PYLAT (El Naggar & Bentley,
2000) can be used.
18.5.2 Elastic Continuum Theory
Poulos and David (1980) present solutions for the lateral deflection of a single pile floating within an elastic
continuum responding to a lateral load, H, applied at distance, e, above the groundline. These solutions make use of
soil modulus, Es and are presented in Figures 18.11 to 18.13 for Poisson's ratio of the ground v = 0.5. Groundline
displacement, p, and groundline rotation, e, are expressed as:
(lS.40a)
p
(l8.40b)
where
the pile has embedded length, L, and the influence factors IpH' IpM IOH and 10M are given in Figs. 18.11 to
18.13. These particular solutions are for a uniform soil and elastic pile, and use the pile flexibility factor,
KR EpJ
p
where the pile has modulus, E
p
, and second moment of area, Ip' The soil modulus used in
EsL4 these solutions should be calibrated for a given pile type, magnitude ofload, and nature ofload
(static, cyclic or trasient) through site-specific loading tests whenever possible.
There are other solutions for a pile that yields and for a non uniform soil profile (Poulos & Davis, 1980). Nonlinear
pile response has been examined by Poulos (1982).
18.5.3 Group Effects
The solutions presented in the preceding sections can be used to estimate the lateral response of single piles. When
piles are installed as a group, interaction occurs between the individual piles so that the lateral pile deformations are
•
Geotechnical Design of Deep Foundations 293
increased. This effect can be quantified using theoretical solutions of Poulos and Davis (1980) so that the pile group
response can be estimated. (See also the work of Randolph, 1981 and Sharnouby & Novak, 1985). A number of
computer programs that employ mainly linear elastic pile and soil models are available for the response analysis of
pile groups such as PGROUP, DEFPIG and PIGLET (Fleming et al., 1992).
For laterally loaded pile groups, the direction ofthe applied load relative to the group becomes important, particularly
for groups driven in a rectangular configuration where the rectangle length is substantially greater than the rectangle
breadth.
The proper evaluation of the lateral performance of pile groups requires an approach that accounts for the soil
nonlinearity, especially near the ground surface. Budhu and Davies (1987, 1988) and El N aggar and Novak (1996)
have examined the nonlinear pile group response. The most common design method for laterally loaded pile groups
is based on the p-y curve approach. In this method, piles within the group are analysed for lateral loading per single
piles except that the p values are multiplied by a reduction factor termed the p-multiplier (Brown et aL, 1988; Brown
et al., 2000; Mostafa & El Naggar, 2002). Computer programs are available to facilitate the analysis and design of
laterally loaded pile groups (FLPIER (McVay et al., 1996); GROUP (Reese & Wang, 1996; PYLATG (El Naggar
& Mostafa, 2001)).
1000
100
I
;
~
Valuf2s of Lit Vs ;: 0-5
"'"
~ O
Id
r---.. i
.......... x ~ 5
'" -& 25
10'''-
I ~
~
I
~ ih.
:-...--
i
,.........
""
r-
I
i
I I l
1 10
FIGURE 18.11 Values a/l
pM
and lea - free-headfloatingpile, constant soil modulus
(after Poulos and Davis, 1980)
c
294 Canadian Foundation Engineering Manual
10
"',21.
L.Id- '-"'- Valuas Of t---._- 1-----
.....
r----.
........
V, =0-5
r\.'
:-..
"- --
j--
,
.. ,--_.
I'"
l- I-- ,..
--.-
-"
f--_..
'-'- -
._.
r--- ---
,
,._,,-_.-
--
r--- r-
4 __"_ ••
f··_··· .. ·
_...........
-, .. --
1-"-"- ---
_... -
f-- --
,,---- -.. --
'---
- r-- -
...-. _....__. '-
1------ r"'--'
-
- -
, 16
6
16
5
10'" 10
3
10
2
10
1
1---.-
;--.-
-'-
10
KR
FIGURE 18.12 Values of19M - free-headfloatingpile, constant soU modulus
(after Poulos and Davis, 1980)
2
10
FIGURE 18.13 Values oflpH -free-headfloating pile, constant soil modulus
(after Poulos and Davis, 1980)
...
Geotechnical Design of Deep Foundations 295
18.6
Geotechnical Axial Capacity of Deep Foundations on Rock
18.6.1 Introd uction
Deep foundations placed on or socketed into rock normally carry heavy loads. They may be used when the quality
ofthe rock mass at the surface is poor. They may be driven, drilled, or cast-in-place. Carter and Kulhawy (1988) and
Lo and Hefny (200 I) provide a useful review of analysis and design methods for piles socketed into rock.
Piles can be driven onto or into rock. However, the exact area of contact with rock, the depth ofpenetration into the
rock, and the quality ofthe rock at the foundation level are largely unknown. Consequently, the determination ofthe
capacity of such foundations using theoretical or semi-empirical methods cannot be made with certainty. Therefore,
the capacity should be confirmed on the basis of driving observations, local experience and test loading.
18.6.2 Drilled Piers or Caissons· Design Assumptions
Deep foundations can be drilled, bored or excavated, and cast-in-place. In this case, the area ofcontact with the rock,
the depth of penetration into the rock, and the quality of the rock at the foundation level can be verified. Therefore,
the capacity of these foundations may be determined with a reasonable degree of confidence using various design
methods. The following discussion relates to the axial capacity of the socketed piers. The behaviour of foundations
under lateral load is discussed by Poulos and Davis (1980), Kulhawy and Carter (1992), Carter and Kulhawy (1992)
and Wyllie (1992).
In most cases, where cast-in-place deep foundations are socketed into the rock, the depth of the socket is typically
one to three times the diameter ofthe foundation. Present Canadian practice for the design ofsuch deep foundations
varies from region to region. Three different design assumptions are in use:
1. The capacity is assumed to be derived from toe resistance only. This assumption can be considered to be
safe, since the capacity of the rock is available, regardless of the construction procedure. However, if the
bottom of the excavation is not properly cleaned, the capacity may not be mobilized before large settlements
occur owing to the compression of any debris remaining in the bottom of the socket.
2. The capacity is assumed to be derived from the "bond" between concrete and rock along the surface
perimeter of the socket. However, theoretical considerations indicate that the load distribution is not
necessarily uniform, but depends upon the modulus of elasticity of both concrete and the surrounding rock
(Coates, 1967; Williams et al., 1980). Furthermore, the magnitude of shaft resistance, or "bond", is highly
dependent on the quality of the rock surface on the walls of the socket and on the roughness of the rock
face.
3. The capacity is assumed to be derived from both toe resistance and shaft resistance. In this case, consideration
must be given to the load transfer behaviour of the pier-socket system. Verification of the design load by
full-scale test and/or well-documented local experience is recommended.
18.6.3 End·Bearing
18.6.3.1 Introduction
Toe or end-bearing resistance is the area of the socket base multiplied by the bearing pressure. The socket base
capacity may be considered to provide the whole socket capacity (Approach 1 above) or to provide one component
of the socket capacity (Approach 3).
18.6.3.2 Bearing Pressure from Pressuremeter Results
In situ pressuremeter tests may be useful in the determination of rock mass properties. The pressuremeter limit
c
--
296 Canadian Foundation Engineering Manual
1
pressure,P
I
, serves as a strength index ofthe rock mass. The ultimate capacity of a socketed pile in rock, R" is given
I
by the following equation:
(18.41)
where
limit pressure as determined from pressuremeter tests in the zone extending two pile diameters above
PI
and below the pile toe
at rest horizontal stress in the rock at the elevation of the pile toe
total overburden pressure at the toe of the pile
an empirical non-dimensional coefficient, which depends on the socket diameter-depth ratio as
follows:
TABLE 18.7 Bearing Capacity Coefficient Kb as a Function ofNormalized Depth
The allowable bearing pressure in working stress design is usually taken as the bearing capacity, R
u
' divided by a
safety factor of 3.
The factored geotechnical axial resistance at ultimate limit states is taken as the ultimate axial capacity (R)
multiplied by the geotechnical resistance factor (cD) of OA for compression and 0.3 for uplift (Tables 8.1 and 8.2 in
Chapter 8).
18.6.3.3 Bearing Pressure from Strength of Rock Cores
The method described in Chapter 9 of this Manual is applicable to deep foundations. According to Ladanyi and Roy
(1971) the effect of depth is included and the formula becomes:
aK d (18A2)
c sp
where
qa allowable bearing pressure
a
c
average unconfined compressive strength ofrock core, from ASTM D2938
K
sp
=:: empirical factor, as given in Section 9.2 and including a factor of safety of 3
d depth factor 1+ A ~ ~ 3
Bs
Ls depth (length of the socket)
B =:: diameter of the socket
s
For limit states design, it is suggested that the ultimate axial capacity be calculated as multiplying the allowable
value by three. The factored geotechnical resistance at ultimate limit states would then be obtained by multiplying
the ultimate capacity by the geotechnical resistance factor of OA and 0.3 for compression and uplift conditions
respectively (Tables 8.1 and 8.2 in Chapter 8).
The uniaxial compression strength is not representative ofthe in-situ mechanical properties ofthe rock mass because
of the absence of discontinuities in the laboratory test specimens. For such a rock mass, the conventional bearing
capacity equation may be used, provided relevant strength parameters have been evaluated from in-situ tests or
- ~ - . ~ - ~ - . ~ . , . . , . . . , - ......--'
Geotechnical Design of Deep Foundations 297
estimated on the basis of a rock mass classification system as discussed in Chapter 3 of this Manual. Note that the
bearing capacity equation usually furnishes an upper bound capacity value.
This method is generally not applicable to soft stratified rocks, such as shales or limestones.
18.6.4 Shaft Capacity of Socket
18.6.4.1 Introduction
Analytical studies of measurements from test loading of drilled piers socketed into bedrock have indicated that
socket shear can account for a large portion ofthe total capacity. The ultimate socket shear load, Qs' is approximately
given by the following relationship:
Q
=7rBLq (18.43)
s s s s
diameter of the socket
length of the socket
average unit shear resistance along the socket
This shaft capacity may be taken as the whole of the socket capacity (Approach 2 in Section 18.6.2) or as part of
it (Approach 3). The mechanism of shear strength development is complex, depending upon the frictional and
adhesive strength of the rock-concrete bond, as well as any changes in normal stresses acting between rock and
concrete due to dilation associated with interface slip or Poisson's ratio effects. Empirical data are currently used to
assess the shear strength of the rock-concrete interface. The factored geotechnical axial resistance at ultimate limit
states is obtained by mUltiplying the ultimate capacity by an appropriate value of the geotechnical resistance factor
(Tables 8.1 and 8.2 in Chapter 8).
18.6.4.2 Conventional Piers
Piers that are excavated and constructed using conventional methods have a relatively smooth concrete-rock interface.
Horvath (1982), Horvath et al (1983), and Rowe and Annitage (1984) have examined the relationship between unit
socket shear and the compressive strength of the rock. An approximate relationship has been developed:
(18.44)
where
qs unit socket shear
qu unconfined compressive strength of rock
b an empirical factor
P
a
atmospheric pressure
If, the concrete compressive strength, f " is lower than the unconfined compressive strength of the rock q then:
c ' u'
Values for the empirical factor, b, have been proposed, as follows:
c
298 Canadian Foundation Engineering Manual
TABLE 18.8 Proposed b Values for Different Design Treatments
Proposed Value for b Comment Reference
1.41
i Expected average value, for use in limit states
design approach
I Rowe and Armitage (1984)
0.63 to 0.94
: Conservative lower bound value, for use in a
working stress design approach
Horvath et al (1983)
0.63 Conservative lower bound value Carter and Kulhawy (1988)
The range in proposed values for the empirical factor reflects the wide variability in test results. Lo and Hefuy
(2001) note that the differences between the proposed factors are in part due to the difference in the design approach
proposed by the authors as noted in the preceding table. Other methods for estimating side shear resistance are
discussed by Lo and Hefny (2001).
Given the large variability in the test data used to determine the empirical method discussed above, it is important
that in situ testing for direct measurement of side shear resistance be made for projects where this factor is of critical
importance.
18.6.4.3 Grooved Piers
Grooves can be made in the socket wall to increase the roughness of the pier-rock interface and thus, increase
the shaft resistance. Using the expression from the preceding section, a best-fit to data as assessed by Rowe and
Armitage (1984) is b 1.9 for grooves of depth and width greater than 10 mm, at spacings between 50 mm and 200
mm.
18.6.5 DeSign for Combined Toe and Shaft Resistance
If both toe and shaft resistance are to be used for estimating socket capacity, then the proportions of load carried at
the sides and base must be estimated. This requires some analysis of the socket/rock system.
Pells and Turner (1979) have analysed the socket/rock system, assuming the concrete and rock materials respond
as elastic isotropic solids, and that the bond along the rock-concrete boundary must not be broken. A proportion, n,
of load reaching the socket base can be estimated from Figure 18.15. Assuming uniform shear over the shaft of the
socket, socket shear qs is:
(1- n)Q
(18.45)
qs = L b
s s
where
n proportion of Q that reaches the socket base, from Figure 18.14
u
Q total load applied at the top of the socket
Ls socket length
b socket diameter
s
This side shear, qs' must be compared with allowable values to ensure stability. Generally, the base load, nQ, will be
easily supported at the toe, but this can be checked using qa in the formula in Section 18.6.3.3 and the base area.
c
Geotechnical Design of Deep Foundations 299
L/O
100
90
80
70 -
bO
;t!
50
SJ
"
a
~
30
20
10
0
0 7 8
L/r
FIGURE 18.14 Load distribution in a rock socket (after Pells and Turner, 1979)
18.6.6 Other Failure Modes
In addition to the failure modes discussed, the designer may need to consider the axial uplift capacity of the rock-
socketed pile, its lateral capacity or its torsional capacity. Alternatively, design of the socket allowing for both shaft
and tip resistance but permitting slip along the shaft-rock boundary may be contemplated. These situations are
examined by Carter and Kulhawy (1988).
18.7 Settlement of Piers Socketed into Rock
18.7.1 Fundamentals
The settlement for a pier founded on sound rock is generally negligible. Settlement may be significant for piles
on soft rock. Significant settlement of foundations on rock is often associated with the presence of open joints,
or seams of compressible material. Because of the discontinuous nature of a rock mass, settlement analysis of
drilled pier foundations placed on, or socketed into, rock is difficult. Where such conditions are anticipated, special
investigations and analysis and/or test loading are required.
Settlement may also result from the presence of mud or debris between the bottom of the concrete shaft and the rock
surface. Careful inspection of the bottom of each excavation is necessary to eliminate this problem.
Elastic moduli measured on rock core samples have little relation to the settlement behaviour of rock masses, since
the influence ofjoints and other rock discontinuities is neglected. A settlement analysis based on such moduli must
include arbitrary assumptions on the influence ofjoints and is, therefore, of limited practical value.
<
18.7.2 Settlement Estimated from Pressuremeter Testing
Settlements can be estimated on the basis of in situ pressuremeter tests. To do so, a large number of tests must be
performed to allow for an assessment of the variability of the pressuremeter modulus of the rock mass, including
some measure of the influence ofjoints and other discontinuities. However, the effect of occasional thin horizontal
joints and compressible seams cannot be taken into account using this method, and the results may be misleading if
such joints or seams do occur. On the other hand, in highly fractured rock, pressuremeter tests may be the best to
provide reliable results.
18.7.3 Settlement from Plate Test Loading
The in-situ plate test loading can be used to assess the settlement behaviour of a rock mass under a deep foundation.
The importance of size effects on the results of such tests must be recognized. Ideally, the plate should be of the
same diameter as the foundation unit; however, for practical reasons, this is seldom possible and smaller plates are
normally used. The results obtained from loading smaller plates may be considered representative of the actual
foundation behaviour, provided the diameter ofthe plate is not smaller than half the diameter of the foundation unit,
and always larger than 0.3 m.
The results of plate load tests are frequently variable. The evaluation of the test results can be performed using the
three-dimensional elastic displacement approach (see Section 11.3). To obtain a reliable evaluation ofthe foundation
behaviour, a series oftests has to be carried out (see Rowe, 1982). The cost of such tests and of the resulting design
work is high. It is only justified for large projects, or where the structure to be supported is very sensitive to
settlement.
1
l
18.7.4 Settlement using Elastic Solutions
I
I
1
18.7.4.1 Introduction
In cases where settlement is important, design methods based on elastic solutions have been proposed by Ladanyi
i
(1977), PeUs and Turner (1979), Horvath et al (1983), Rowe and Armitage (1987) and others. An excellent summary
of elastic design is given by Lo 'and Hefuy (200 I).
18.7.4.2 Determination of Material Properties
The subsurface conditions at the proposed site should be thoroughly investigated. The material properties of
the concrete and rock should be carefully determined using appropriate laboratory and in-situ testing methods,
Representative values of rock mass modulus, E
r
, and average shaft resistance at yield are necessary.
Based on back analysis of pile load test data, Rowe ahd Armitage (1987) proposed the following approximate
relationship for rock mass modulus for use in settlement calculations:
(18.46)
where
E rock mass modulus
r
qu unconfined compressive strength of rock
b an empirical factor
Pa atmospheric pressure
The best fit to available data was obtained for b = 680. Based on a statistical study, Rowe and Armitage (1987)
concluded that the probability of exceeding design settlement could be 30 % if a value of b 475 was used, and 11
% if a value of b = 340 was used.
~ ~ ~ < 4
Geotechnical Design of Deep Foundations 301
The most direct method of determining value ofrock mass properties for design calculations is to perform field tests
on full-scale or small-scale socketed piers. It is important that the roughness factor ofthe test sockets be comparable
to the actual pier sockets. Carter and Kulhawy (1988) discuss various aspects offield tests and their interpretation.
18.7.4.3 Estimation of Settlement of the Pier
Once the pier dimensions have been determined, the settlement of the pier can be calculated using Figures 18.15
to 18.17. If the calculated settlement values exceed the allowable settlement, the diameter and/or length of the pier
socket should be adjusted. These solutions assume that the rock and concrete remain bonded together along the
socket shaft.
18.7.4.4 Other Methods
Carter and Kulhawy (1988) provide a comprehensive review of methods for prediction of load-displacement
response of axially loaded piers. The nonlinear solutions of Rowe and Armitage (1987) can be used to predict axial
deformations in soft rock, both before, and after, slip occurs along the pier shaft. Alternatively, Carter and Kulhawy
(1988) provide analytical solutions that give pier response before first slip, and with full slip along the rock-pier
boundary.
FIGURE 18.15 Elastic settlement ojshear socket (after Pells and Turner, 1979)
Q
:$U2 Canadian Foundation Engineering Manual
1.0
0.9
0.8
0.7
'"
0 0.6
....
U
«
u.
0.5
Z
0 1.0
-
I-
U
:;)
0 0.9
w
'"
0.8
0.7
0.6
0.5
Dfr 2
;::2
E
c
10
a 4 6 8
L/r
FIGURE 18.16 Embedment reduction/actor/or shear sockets. elastic modulus 0/concrete,
=elastic modulus o/rock (after Pells and Turner, 1979)
I
E
2.0
L-____ __ ____ ____ ____
o 2 6 8 10
•
...9..d
r S
r
Ec
r·
0
•
2
r
/
1 . 0
0.8
0.6
Is
0.4
0.1
0.1
L/,
FIGURE 18.17 Elastic settlement 0/a complete rock socket (after Pells and Turner, 1979)
c
Structural Design and Installation of Piles 303
Structural Design and Installation of Piles
19 Structural Design and Installation of Piles
19.1 Introduction
This chapter gives information on the use of different types of deep foundations, including special features of
structural design and considerations regarding the installation of such foundations.
19.1.1 Resistance of Deep Foundations
19.1.1.1 Structural Resistance
The structural resistance of a deep foundation unit, determined in accordance with the National Building Code of
Canada, represents the load that the unit can support as a structural member. In most cases, the bearing capacity
of a deep foundation unit is governed by geotechnical considerations rather than by the structural resistance of
the unit. The installation and inspection of a deep foundation unit are generally less controllable than for a similar
superstructure member. Moreover, the environment ofthe deep foundation unit may be potentially more damaging
structurally than the environment of the superstructure member.
It is important to note that permissible deviations in alignment and location of the unit can be established and
considered in the design when determining the structural resistance. Normally, it is not possible to install deep
foundations closer than 70 rom to the specified position and, therefore, the design should allow for this location
limitation. When the off-location effect is considered, the restraining influence of the pile cap, tie beams and soil
should be included. The effects of moments and lateral loads must also be considered in the design.
19.1.1.2 Geotechnical Resistance of a Driven Pile
The geotechnical resistance of a driven pile is a function of the dynamic response of the pile, the so-called dynamic
impedance Ep A/c
p
, where Ep is the modulus of elasticity, Ap is the cross- sectional area of the pile and c
p
is the
speed of the strain wave in the pile. The strength of the pile material has no influence beyond a minimum value,
which mostly is smaller than about 250 MPa. Therefore, the geotechnical resistance of a driven pile differs from that
of the structural resistance. The potential geotechnical resistance of two piles with the same impedance is the same,
whether the piles are of the same material or are different, e.g., steel or concrete, whereas the structural resistance
may differ.
The allowable geotechnical stress ofa driven pile should be limited to a factor times Ep/c
p
ofthe pile material. In the
absence offield verification of the existence and magnitude of soil set-up or soil relaxation, the factor is suggested
to be 2 (units = mls). Field verification by means oftest loading or dynamic monitoring (Subsection 19.1.3) will
supersede this suggestion.
The value of2 Eplc
p
for steel piles is relatively constant and equal to 80 MPa. For precast piles, ordinary reinforced
piles, and prestressed piles, the elastic modulus, E
p
' and the wave speed, c " vary and Ep/c is not constant. However,
1 r
c
304 Canadian Foundation Engineering Manual
20 Ep/c
p
is usually within the relatively narrow range of 12 to 15 MPa and 12 MPa is suggested for use in design.
For further discussion see Fellenius (l984b).
The dynamic impedance of a closed-toe steel pile can be substantially improved by concreting the pile before
restriking. The resulting increased dynamic impedance (new combined value of EpA/c
p
) will enable the pile to be
driven to a higher geotechnical resistance andlor to verify the existence of soil set-up. By finishing the concrete with
a slightly convex upper surface that protrudes above the steel tube, the tube avoids impact of the hammer. Also, it
is advisable to add some reinforcing bars to the concrete within a zone of four pile diameters from the pile head.
Soil set-up can be verified in the field by a load test or by dynamic measurements during restriking. While restriking
alone is a highly recommended method of quality control and will verify soil relaxation, it does not provide
sufficiently reliable information on soil set-up on a pile driven to refusal, unless the pile impedance is increased or a
heavier hammer is used that can develop more force and driving energy per blow (as opposed to the hammer used in
initial driving) and, therefore, move the pile to a penetration larger than about 3 mm to 4 mm per blow. Ideally, when
driving composite piles the design should ensure that the impedance, EpAp/c
p
, ofthe sections of the pile is the same.
Ifthe impedance differs by more than a factor of2, serious damage or driving difficulties can arise. Composite piles
are concrete piles with long steel H-pile ends, or steel pipe and steel H-piles combined, or two sections of different
size concrete piles combined, etc.
When driving a pile with a follower made ofthe same material as the pile, the areas should be equal. If the pile and
the follower are of different material, e.g., a concrete pile and a steel follower, the impedances should be equal. This
means that the steel area should be about 20 % that of the concrete area. For additional comments, see Fellenius,
(l980a).
19.1.2 Wave-Equation Analysis
The one-dimensional wave-equation analysis is the application oflongitudinal wave transmission to the pile driving
process, which provides a mathematically accurate expression describing the mechanics of strain wave travel along
a pile after it has been hit by the ram of the pile hammer. This method takes into account the characteristics of:
• the hammer (mass of the ram or piston, height of fall of the ram, rated energy and impact velocity);
the driving cap or helmet (mass, stiffness and coefficient of restriction of the hammer cushion or capblock,
and the pile cushion, when used);
the pile (material, dimensions, mass and stiffness); and
• the soil (assumed deformation characteristics represented by quake and damping factors for shaft and toe
resistance).
The wave-equation analysis can be used to great advantage when assisting in the selection ofhammers and capblocks,
in the design of cushions, in the prediction of driving stresses and bearing capacities, and in the choice of driving
criteria.
The wave-equation analysis is fundamentally correct. It can provide qualitative information to use in, for instance,
the comparison between two hammers. However, the results of the analysis are- only as accurate as the data used as
input in the analysis.
When no direct measurements or observations are available for reference (calibration), it will be fortuitous if the
results are quantifiably relevant to the real situation. In the absence of calibration data from the analysis of dynamic
monitoring (Subsection 19.1.3), the wave-equation analysis should be limited to use for providing a range of results
established with due consideration to the possible variations of the hammer-pile-soil system.
The factored geotechnical axial compression resistance at ultimate limit states is taken as the ultimate predicted
capacity multiplied by a geotechnical resistance factor of 0.4 (Tables 8.1 and 8.2).
Structural Design and Installation of Piles 305
The wave-equation analysis should be recognized as one of the major advances of the current state-of-the art. Its
use is highly recommended. However, it should be considered as a tool among many others and should be used
by a person well experienced not only in wave-equation analysis, but also in the overall art of pile installation and
pile-soil analysis.
19.1.3
Dynamic Monitoring
The effect of the hammer impact on a pile in terms of force (stress, strain) and velocity (acceleration) can be
monitored using special instrumentation and analyzing the obtained force and velocity 'wave traces'. Information
can be obtained as to the proper functioning of the hammer, the impact force, the transferred energy and the soil
response to the impact on the pile.
The dynamic monitoring method has been used in Canada since 1976 and is well established. For details on the
instrumentation and method see Goble et al. (1970), Rausche et al. (1972), Fellenius et al. (1978), and Authier and
Fellenius (1983).
The soil response may be related to the pile static capacity by a method called Case Method Estimate (CMES).
This method is fast and produces a value for each impact as the driving proceeds. For more accurate capacity
determinat