Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
10th Edition
ISBN: 9780073398204
Author: Richard G Budynas, Keith J Nisbett
Publisher: McGraw-Hill Education
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Chapter 1, Problem 22P

The volume of a rectangular parallelepiped is given by V = xyz, If x = a ± Δa, y = b ± Δb, z = c ± Δc, show that

Δ V V ¯     Δ a a ¯  +  Δ b b ¯  +  Δ c c ¯

Use this result to determine the bilateral tolerance on the volume of a rectangular parallelepiped with dimensions

a = 1.500 ± 0.002 in

b = 1.875 ± 0.003 in

c = 3.000 ± 0.004 in

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Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)

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