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[...]... www.industrialpress.com Machinery's Handbook Guide 28th Edition CHORDS AND SEGMENTS 5 chordal distance = 0.38268 × 6 = 2.296 inches The result is the same as would be obtained with the table on Handbook page 708 because the figures in the column “Length of the Chord” represent the sines of angles equivalent to 180 divided by the different numbers of spaces Use of the Table of Segments of Circles Handbook page 77 —This... inches, there are 1190 − 152 = 1038 gallons (See also Handbook page 67 for additional information on the capacity of cylindrical tanks.) Spheres. Handbook page 84 gives formulas for calculating spherical volumes Additional formula are given on page 50 Copyright 2008, Industrial Press Inc., New York, NY - www.industrialpress.com Machinery's Handbook Guide 28th Edition 6 CHORDS AND SEGMENTS Example 5:If... surface area and diameter? 12) The tables beginning on Handbook page 708 give lengths of chords for spacing off circumferences of circles into equal parts Is another method available? Copyright 2008, Industrial Press Inc., New York, NY - www.industrialpress.com Machinery's Handbook Guide 28th Edition SECTION 3 FORMULAS AND THEIR REARRANGEMENT HANDBOOK Page 29 A formula may be defined as a mathematical... how many degrees? (The camshaft rotates at one-half the flywheel speed.) Copyright 2008, Industrial Press Inc., New York, NY - www.industrialpress.com Machinery's Handbook Guide 28th Edition SECTION 2 CHORDAL DIMENSIONS, SEGMENTS, AND SPHERES HANDBOOK Pages 77, 84, and 707— 708 A chord of a circle is the distance along a straight line from one point to any other point on the circumference A segment of...Machinery's Handbook Guide 28th Edition 2 DIMENSIONS AND AREAS OF CIRCLES 251.328 + 2 × 50.2656 = 351.8592 square inches The same result could have been obtained by using the formula for total area given on Handbook page 82: A = 3.1416 × d × (1⁄2 d + h) = 3.1416 × 8 × (1⁄2 × 8 + 10) = 351.8592 square inches Example... right-hand Copyright 2008, Industrial Press Inc., New York, NY - www.industrialpress.com Machinery's Handbook Guide 28th Edition 12 FORMULAS member cannot be cancelled because it is not an independent factor, since the numerator equals the difference between T and 2πr2 Example 3:Rearrange the formula for a trapezoid (Handbook page 70) to obtain h A = ( a + b )h 2 2A = (a + b)h (a + b)h = 2A (multiply... Formulas.—Most formulas in engineering handbooks are given without showing how they have been derived or originated, because engineers and designers usually want only the final results; moreover, such derivations would require considerable additional space, and they belong in textbooks rather than in handbooks, which are primarily works of reference Although Machinery’s Handbook contains thousands of standard... special formulas, it is apparent that no handbook can include every kind of formula, because a great many formulas apply only to local designing or manufacturing problems Such special formulas are derived by engineers and designers for their own use The exact Copyright 2008, Industrial Press Inc., New York, NY - www.industrialpress.com Machinery's Handbook Guide 28th Edition 16 FORMULAS methods of... in pounds, given on Handbook 28 CD page 3259: W = 54 ,000D 2 This particular formula contains the constant 54,000, which was established by tests, and the formula is used to obtain the breaking load of wrought-iron crane chains to which a factor of safety of 3, 4, or 5 is then applied to obtain the working load Other examples of empirical formulas will be found on Handbook page 278 Handbook page 296... www.industrialpress.com Machinery's Handbook Guide 28th Edition 20 FORMULAS Mathematical Signs and Abbreviations.—E v e r y d i v i s i o n o f mathematics has its traditions, customs, and signs that are frequently of ancient origin Hence, we encounter Greek letters in many problems where it would seem that English letters would do as well or better Most of the signs on Handbook page 2558 will be used . title: Machinery’s handbook 28th guide. Cover title: Machinery’s handbook twenty eighth guide. This book should be used in conjunction with the twenty-eighth edition of Machinery’s Handbook ISBN 978-0-8311-2899-9 ISBN. edition with math) 1. Mechanical engineering Handbook, manuals, etc. I. Title: Machinery’s handbook 28 guide. II. Machinery’s handbook twenty eighth guide. III Jones, Franklin Day, 1879-1967 IV H ANDBOOK CD-ROM. Like the HANDBOOK CD- ROM, the electronic Guide contains numerous web enabled “live interactive equations.” M ACHINERY’S HANDBOOK, as with all other handbooks, pre- sents information