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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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27.1 INTRODUCTION / 27.2 27.2 METRIC STANDARDS / 27.2 27.3 U.S. STANDARD INCH UNITS / 27.9 27.4 INTERFERENCE-FIT STRESSES / 27.9 27.5 ABSOLUTE TOLERANCES / 27.13 REFERENCES / 27.16
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a B b c D E e L p pf t w x y Radius Smallest bore diameter Radius Radius radial clearance Diameter, mean of size range, largest journal diameter Young s modulus Bilateral tolerance expressing error Upper or lower limit Probability Probability of failure Bilateral tolerance of dimension Left-tending vector representing gap Right-tending dimensional vector magnitude Left-tending dimensional vector magnitude Radial interference Poisson s ratio Normal stress Standard deviation
27.1 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 27.2
FASTENING, JOINING, AND CONNECTING
27.1 INTRODUCTION
Standards of limits and fits for mating parts have been approved for general use in the United States for use with U.S. customary units [27.1] and for use with SI units [27.2]. The tables included in these standards are so lengthy that formulas are presented here instead of the tables to save space. As a result of rounding and other variations, the formulas are only close approximations. The nomenclature and symbols used in the two standards differ from each other, and so it is necessary to present the details of each standard separately.
27.2 METRIC STANDARDS
27.2.1 Definitions Terms used are illustrated in Fig. 27.1 and are defined as follows: 1. Basic size is the size to which limits or deviations are assigned and is the same for both members of a fit. It is measured in millimeters. 2. Deviation is the algebraic difference between a size and the corresponding basic size. 3. Upper deviation is the algebraic difference between the maximum limit and the corresponding basic size. 4. Lower deviation is the algebraic difference between the minimum limit and the corresponding basic size. 5. Fundamental deviation is either the upper or the lower deviation, depending on which is closest to the basic size. 6. Tolerance is the difference between the maximum and minimum size limits of a part. 7. International tolerance grade (IT) is a group of tolerances which have the same relative level of accuracy but which vary depending on the basic size. 8. Hole basis represents a system of fits corresponding to a basic hole size. 9. Shaft basis represents a system of fits corresponding to a basic shaft size.
27.2.2 International Tolerance Grades The variation in part size, also called the magnitude of the tolerance zone, is expressed in grade or IT numbers. Seven grade numbers are used for high-precision parts; these are IT01, IT0, IT1, IT2, IT3, IT4, IT5 The most commonly used grade numbers are IT6 through IT16, and these are based on the Renard R5 geometric series of numbers. For these, the basic equation is i= 1 (0.45D1/3 + 0.001D) 1000 (27.1)
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 27.3
FITS AND TOLERANCES
FIGURE 27.1 Definitions applied to a cylindrical fit. The numbers in parentheses are the definitions in Sec. 27.2.1.
where D is the geometric mean of the size range under consideration and is obtained from the formula D= DmaxDmin (27.2)
The ranges of basic sizes up to 1000 mm for use in this equation are shown in Table 27.1. For the first range, use Dmin = 1 mm in Eq. (27.2). With D determined, tolerance grades IT5 through IT16 are found using Eq. (27.1) and Table 27.2. The grades IT01 to IT4 are computed using Table 27.3.
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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