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FITS AND TOLERANCES 27.15
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FITS AND TOLERANCES
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Solution. From Eq. (27.16), w = xi yj = 1.385 0.125 1.000 0.250 = 0.010 in From Eq. (27.17), tw =
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t = 0.005 + 0.001 + 0.002 + 0.001 = 0.009 in
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From Eq. (27.14), wmax = w + tw = 0.010 + 0.009 = 0.019 in From Eq. (27.15), wmin = w tw = 0.010 0.009 = 0.001 in All instances of the gap w are positive, and therefore noninterfering. Example 4. In Example 3, the washer, sleeve, and snap ring are vendor-supplied parts, and the pin is machined in-house. To assure a noninterfering assembly, what should the pin tolerance t1 be Solution. From Eq. (27.16), w = xi yj = 1.385 0.125 1.000 0.250 = 0.010 in From Eq. (27.17), tw =
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t = t1 + 0.001 + 0.002 + 0.001 = t1 + 0.004
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t1 = tw 0.004 As long as tw w that is, tw 0.010 in there will be a gap. tw = t1 + 0.004 0.010 t1 0.006 in If t1 cannot be economically maintained at 0.006 or less, but may be 0.007 in or more, then there will be instances of interference, unless 1. Vendors can reduce the tolerance on the washer, spacer, and snap ring. 2. Inspection and selective assembly are acceptable. 3. Some interference, when detected, is solved by selective assembly for some parts, or scrapping. Important to alternatives 2 and 3 is a prediction of the chance of encountering an interference fit.
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FIGURE 27.6 A journal-bushing assembly with unilateral tolerances.
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FITS AND TOLERANCES 27.16
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FASTENING, JOINING, AND CONNECTING
TABLE 27.8 Absolute Tolerance Worksheet
Example 5. Figure 27.6 shows a journal-bushing assembly with unilateral tolerances. What is the description of the radial clearances resulting from these specifications Solution. From Eq. (27.14), w = c = xi yj = = B D b+d + 2 4 tw =
B b D d + + 2 4 2 4 (27.18) b d + 4 4 B D b+d + 2 4 (27.20)
From Eq. (27.17),
(27.19)
From Eq. (27.14),
wmax = cmax = w + tw = +
b+d B D b+d = + 4 2 2 B D b+d + 2 4
From Eq. (27.15),
wmin = cmin = w tw =
b+d B D = 4 2
(27.21)
Table 27.8 is an absolute tolerance worksheet, a convenient nonalgebraic form suitable to the manufacturing floor.
REFERENCES
27.1 Preferred Limits and Fits for Cylindrical Parts, ANSI B4.1-1967 (R1999). 27.2 Preferred Metric Limits and Fits, ANSI B4.2-1978 (R1999).
The symbol R indicates that the standard has been reaffirmed as up-to-date.
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FITS AND TOLERANCES 27.17
FITS AND TOLERANCES
27.3 Joseph E. Shigley and Charles R. Mischke, Mechanical Engineering Design, 5th ed., McGraw-Hill, New York, 1989. 27.4 M. F. Spotts, Dimensioning and Tolerancing for Quality Production, Prentice-Hall, Englewood Cliffs, N.J., 1983. (Excellent bibliography on standards and handbooks, dimensioning and tolerancing, quality control, gauging and shop practice, probability and statistics.)
Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright 2004 The McGraw-Hill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website.
FITS AND TOLERANCES
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Source: STANDARD HANDBOOK OF MACHINE DESIGN
LOAD CAPABILITY CONSIDERATIONS
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LOAD CAPABILITY CONSIDERATIONS
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Source: STANDARD HANDBOOK OF MACHINE DESIGN
STRENGTH UNDER STATIC CIRCUMSTANCES
Charles R. Mischke, Ph.D., P.E.
Professor Emeritus of Mechanical Engineering Iowa State University Ames, Iowa
Joseph E. Shigley
Professor Emeritus The University of Michigan Ann Arbor, Michigan
28.1 PERMISSIBLE STRESSES AND STRAINS / 28.4 28.2 THEORY OF STATIC FAILURE / 28.5 28.3 STRESS CONCENTRATION / 28.9 28.4 FRACTURE MECHANICS / 28.13 28.5 NONFERROUS METALS / 28.19 REFERENCES / 28.22
GLOSSARY OF SYMBOLS
a A D, d F I J K K Kc Kt Kts M n qs Crack semilength Area Diameter Force or load Second moment of area Second polar moment of area Stress-intensity factor Stress-concentration factor for static loading Critical-stress-intensity factor Normal-stress-concentration factor Shear-stress-concentration factor Moment Design factor Sensitivity index
28.3 Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright 2004 The McGraw-Hill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website.
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