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é=== r:>."°f'l “,_,5u :VNUI Allowance: The specified difference in dimensions between mating parts; also called functional dimension or sum dimension. Basic size: Dimension from which limits of size are derived with the use of tolerances and allowances. Bilateral tolerance: Deviation (plus or minus) from the basic size. Section 35.8 é/ 2_0 L o.5- E E \/ o X; <<\@ Q5 0`$C\’®Q, Q* <<\"> U) § // 0°\6&§S ‘\ T a 'Q §<©5 /a<@°\`* /<`° \\a‘\ 0.01 _ <<§ é\ & ~<\ \` \g99 0% Q9 0,69 v <\°` / Q,Q0 Q°<\0 \\§`<\ <§®b` 9\&é<{Z§? o°\ o 05 / Qe ®`I`\ 9/¢,<<\/ <\&e, aéée lo /1' /;;k°6 - ef? <~ §,%"" ¢%&‘° QQ/\ /Q CI) 8 g \e>/ / 1.0 - A Geometric Dimensiomng and Tolerancing ®" <<»<>° 9\I‘ \@/ .ar <> ®°@I\S“~\aI)` 0.0250.05 0.1 0.2 0.4 0.8 1.6 3.2 6.3125 25 N1 N2 N3 N4 N5 N6 N7 N8 N9 N10 N11 50 /dm N12ISO NO. Surface roughness (Ra) Dimensional tolerance range and surface roughness obtained in various manufacturing processes. These tolerances apply to a 25-mm workpiece dimension. FIGURE 35.20 Source: After ].A. Schey. Clearance: The space between mating parts. Clearance fit: Fit that allows for rotation or sliding between mating parts. Datum: A theoretically exact axis, point, line, or plane. Feature: A physically identifiable portion of a part, such as hole, slot, pin, or chamfer. Fit: The range of looseness or tightness that can result from the application of a specific combination of allowance and tolerance in the design of mating-part features. Geometric tolerances: Tolerances that involve shape features of the part. Hole-basis system: Tolerances based on a zero line on the hole; also called standard hole practice or hasic hole system. Interference: Negative clearance. Interference fit: A fit having limits of size so prescribed that an interference always results when mating parts are assembled. Intemational tolerance (IT) grade: A group of tolerances that vary with the basic size of the part, but provide the same relative level of accuracy within a grade. Limit dimensions: The maximum and minimum dimensions of a part; also called limits. Maximum material condition (MMC): The condition whereby a feature of a certain size contains the maximum amount of material within the stated limits of that size. Nominal size: An approximate dimension that is used for the purpose of general identification. Positional tolerancing: A system of specifying the true position, size, and form of the features of a part, including allowable variations. Shaft-basis system: Tolerances based on a zero line on the shaft; also called standard shaft practice or basic shaft system. Standard size: Nominal size in integers and common subdivisions of length. Transition fit: A fit with small clearance or interference that allows for accurate location of mating parts. I0|5 |016 Chapter 35 Engineering Metrology and Instrumentation ° ° Unilateral tolerancing: Deviation from the nominal dimension in one direction only. Zero line: Reference line along the basic size from which a range of tolerances and deviations are specified. Because the dimensions of holes are more difficult to control than those of shafts, the hole-basis system is commonly used for specifying tolerances in shaft and hole assemblies. The symbols used to indicate geometric characteristics are shown in Figs. 35.21a and b. °f feature TYP° Type °f tolerance Characteristic Flatness Individual (no datum FOrm reference) individual Frome °' related Orientation Related (datum reference Location "9°lU"'edl Symbol D Straightness - Circularity (roundness) O Cylindrlcity ,U Profile of a line f°\ Profile of a surface Cb Perpendicularity _l_ Angularity 4 Parallelism // Position G9 Concentricity 9 Circular runout / Flunout Total runout A/ la) ® Basic or exact dimension Projected tolerance zone o Diametrical (cylindrical) tolerance zone or feature ® Maximum material condition Ei Regardless of feature size 'Ill Datum feawfe SY"‘b°l ® Feature control frame Datum target symbol Least material condition (D) FIGURE 35.2l Geometric characteristic symbols to be indicated on engineering drawings of parts to be manufactured. Source: Courtesy of The American Society of Mechanical Engineers Bibliography l0l7 Limits and Fits. Limits and #ts are essential in specifying dimensions for holes and shafts. There are two standards on limits and fits, as described by the American National Standards Institute (see ANSI/ASME B4.1, B4.2, and B4.3). One standard is based on the traditional inch unit. The other is based on the metric unit and has been developed in greater detail. In these standards, capital letters always refer to the hole and lowercase letters to the shaft. SUMMARY ° ° ° ° ° In modern manufacturing technology, many parts are processed to a high degree of precision and thus require measuring instrumentation with several features and characteristics. Many devices are available for inspection-from simple gage blocks to electronic gages with high resolution. The selection of a particular measuring instrument depends on factors such as the type of measurement for which it will be used, the environment in which it will be used, and the accuracy of measurement required. Major advances have been made in automated measurement, linking measuring devices to microprocessors and computers for accurate in-process control of manufacturing operations. Reliable linking, monitoring, display, distribution, and manipulation of data are important factors, as are the significant costs involved in implementing them. Dimensional tolerances and their selection are important factors in manufacturing. Tolerances not only affect the accuracy and operation of all types of machinery and equipment, but also can influence product cost significantly. The smaller (tighter) the range of tolerances specified, the higher is the cost of production. Tolerances should be as broad as possible, but should also maintain the functional requirements of the product. KEY TERMS Air gage Analog instruments Autocollimator Bevel protractor Comparative lengthmeasuring instruments Coordinate-measuring machine Dial indicator Diffraction gratings Digital instruments Dimensional tolerance Electronic gages Fits Fixed gage Gage block Interferometry Laser micrometer Limits Line-graduated instruments Measurement standards Micrometer Optical contour projector Optical flat Plug gage Resolution Ring gage Sensitivity Snap gage Tolerance Total indicator reading Vernier caliper Pneumatic gage Precision BIBLIOGRAPHY Bentley, ].P., Principles of Measurement Systems, 4th ed., Prentice Hall, 2005. Bosch, ].A. (ed.), Coordinate Measuring Machines and Systems, Marcel Dekker, 1995. Cogorno, G., Geometric Dimensioning and Tolerancing for Mechanical Design, McGraw-Hill, 2006. Creveling, C.M., Tolerance Control: A Handbook for Developing Optimal Specifications, Addison-Wesley, 1996. Curtis, M.A., Handbook of Dimensional Measurement, 4th ed., Industrial Press, 2007. I0 8 I Chapter 35 Engineering Metrology and Instrumentation Drake, P.]., Dimensioning and Tolerancing Handbook, McGraw-Hill, 1999. Gooldy, G., Geometric Dimensioning and Tolerancing, rev. ed., Prentice Hall, 1995. Kimura, F., Computer-Aided Tolerancing, Springer, 1997. Krulikowski, A., Fundamentals of Geometric Dimensioning and Tolerancing, Delmar, 1997. Liggett, ].V., Dimensional Variation Management Handbook: A Guide for Quality, Design, and Manufacturing Engineers, Prentice Hall, 1993. Madsen, D.A., Geometric Dimensioning and Tolerancing, Goodheart-Wilcox, 2003. Meadows, ].D., Measurement of Geometric Tolerances in Manufacturing, Marcel Dekker, 1998. -, Morris, A.S., Measurement and Calibration for Quality Assurance, Wiley, 1998. Measurement and Instrumentation Principles, Butterworth-Heinemann, 2001. Puncochar, D.E., Interpretation of Geometric Dimensioning and Tolerancing, 2nd ed., Industrial Press, 1997. Whitehouse, D.]., Handbook of Surface Metrology, IOP Publishing, 1994. Wilson, B.A., Design Dimensioning and Tolerancing, Goodheart-Wilcox, 1996. Dimensioning and Tolerancing Handbook, Genium, -, 1998. Winchell, W, Inspection and Measurement in Manufacturing, Society of Manufacturing Engineers, 1996 _ REVIEW QUESTIONS Explain what is meant by standards for measurement. 35.2. What is the basic difference between direct-reading and indirect-reading linear measurements? Name the instruments used in each category. 35.3. What is meant by comparative length measurement? 35.4. Explain how flatness is measured. What is an optical flat? Describe the principle of an optical comparator. 35.5 35.6. Why have coordinate measuring machines become important instruments? 35.|. 35.7. What is the difference between gage? ring tolerance? 35.l I. How is straightness measured? ,_.._.__._..__._,__.____.._._ 35.|8. Why do manufacturing processes produce parts with wide range of tolerances? Explain, giving several examples. 35.l9. 35.I4. Explain the need for automated inspection. 35.I5. Dimensional tolerances for nonmetallic parts usually are wider than for metallic parts. Explain why. Would this also be true for ceramics parts? 35.l6. Comment on your observations regarding Fig. 35.20. Why does dimensional tolerance increase with increasing surface roughness? 35.17. Review Fig. 35.19, and comment on the range of tolerances and part dimensions produced by various manufacturing processes. 35.20. a a What are dimensional tolerances? Why is their control important? 35.9. Explain the difference between tolerance and allowance. 35.I0. What is the difference between bilateral and unilateral Why are the words “accuracy” and “precision” often incorrectly interchanged? 35.I3. plug gage and 35.8. °UAUTAT'VE PROBLEMS 35.|2. a ___,__.__._.__.____._______._____ In the game of darts, is it better to be accurate or to be precise? Explain. What are the advantages and limitations of GO and NOT GO gages? Comment on your observations regarding Fig. 35.18. 35.2I. Why is it important to Control temperature during the measurement of dimensions? Explain, with examples. 35.22. Describe the characteristics of electronic gages. 35.23. What method would you use to measure the thickness of a foam-rubber part? Explain. QUANTITATIVE PROBLEMS |]35.24. Assume that a steel rule expands by 0.07% due to an increase in environmental temperature. What will be the indicated diameter of a shaft with a diameter of 30.00 mm at room temperature? |]35.25. If the same steel rule as in Problem 35.24 is used to measure aluminum extrusions, what will be the indicated diameter at room temperature? What if the part were made of a thermoplastic? |l35.26. A shaft must meet a design requirement of being at least 28.0 mm in diameter, but it can be 0.380 mm oversized. Express the shaft’s tolerance as it would appear on an engineering drawing. Synthesis, Design, and Projects IOI9 SYNTHESIS, DESIGN, AND PROIECTS 35.27. Describe your thoughts on the merits and limitations of digital measuring equipment over analog instruments. Give specific examples. 35.28. Take an ordinary vernier micrometer (see Fig. 35.2a) and a simple round rod. Ask five of your classmates to measure the diameter of the rod with this micrometer. Comment on your observations. 35.29. Cbtain a digital micrometer and a steel ball of, say, 6-mm diameter. Measure the diameter of the ball when it (a) has been placed in a freezer, (b) has been put into boiling Water, and (c) when it has been held in your hand for different lengths of time. Note the variations, if any, of measured dimensions, and comment on them. 35.30. Repeat Problem 35.29, but with the following parts: (a) the plastic lid of a small jar, (b) a thermoset part such as the knob or handle from the lid of a saucepan, (c) a small juice glass, and (d) an ordinary rubber eraser. 35.3|. What is the significance of the tests described in Problems 35.29 and 35.3O? 35.32. Explain the relative advantages and limitations of tactile probe versus a laser probe. a 35.33. Make simple sketches of some forming- and cuttingmachine tools (as described in Parts III and IV of the book) and integrate them with the various types of measuring equipment described in this chapter. Comment on the possible difficulties involved in doing so. 35.34. Ins P ect various P arts and comP onents in consumer products, and comment on how tiht dimensional tolerances have to be in order for these products to function properly. 35.35. As you know, very thin sheet-metal parts can distort differently when held from various locations and edges of the part, just as a thin paper plate or aluminum foil does. How, then, could you use a coordinate-measuring machine for “accurate” measurements? Explain. 35.36. Explain how you would jusify the considerable cost of a coordinate-measuring machine such as that shovvn in Fig. 35.16.
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