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 10, Problem 29P
The figure shows a conical compression helical coil spring where R1 and R2 are the initial and final coil radii, respectively, d is the diameter of the wire, and Na is the total number of active coils. The wire cross section primarily transmits a torsional moment, which changes with the coil radius. Let the coil radius be given by
where θ is in radians. Use Castigliano’s method to estimate the spring rate as
Problem 10-29
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Chapter 10 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
Ch. 10 - Within the range of recommended values of the...Ch. 10 - It is instructive to examine the question of the...Ch. 10 - A helical compression spring is wound using...Ch. 10 - The spring in Prob. 10-3 is to be used with a...Ch. 10 - A helical compression spring is made with...Ch. 10 - A helical compression spring is to be made of...Ch. 10 - A helical compression spring is made of hard-drawn...Ch. 10 - The spring of Prob. 107 is to be used with a...Ch. 10 - 109 to 1019 Listed in the tables are six springs...Ch. 10 - 109 to 1019 Listed in the tables are six springs...
Ch. 10 - 10-9 to 10-19 Listed in the tables are six springs...Ch. 10 - Prob. 12PCh. 10 - 10-9 to 10-19 Listed in the tables are six springs...Ch. 10 - 10-9 to 10-19 Listed in the tables are six springs...Ch. 10 - 10-9 to 10-19 Listed in the tables are six springs...Ch. 10 - 10-9 to 10-19 Listed in the tables are six springs...Ch. 10 - Prob. 17PCh. 10 - 10-9 to 10-19 Listed in the tables are six springs...Ch. 10 - 10-9 to 10-19 Listed in the tables are six springs...Ch. 10 - Consider the steel spring in the illustration. (a)...Ch. 10 - A static service music wire helical compression...Ch. 10 - Solve Prob. 1021 by iterating with an initial...Ch. 10 - A holding fixture for a workpiece 37.5 mm thick at...Ch. 10 - Solve Prob. 10-23 by iterating with an initial...Ch. 10 - A compression spring is needed to fit over a...Ch. 10 - A compression spring is needed to fit within a...Ch. 10 - A helical compression spring is to be cycled...Ch. 10 - The figure shows a conical compression helical...Ch. 10 - A helical coil compression spring is needed for...Ch. 10 - Solve Prob. 10-30 using the Goodman-Zimmerli...Ch. 10 - Solve Prob. 10-30 using the Sines-Zimmerli...Ch. 10 - Design the spring of Ex. 10-5 using the...Ch. 10 - Solve Prob. 10-33 using the Goodman-Zimmerli...Ch. 10 - A hard-drawn spring steel extension spring is to...Ch. 10 - The extension spring shown in the figure has...Ch. 10 - Design an infinite-life helical coil extension...Ch. 10 - Prove Eq. (10-40). Hint: Using Castigliunos...Ch. 10 - The figure shows a finger exerciser used by...Ch. 10 - The rat trap shown in the figure uses two...Ch. 10 - Prob. 41PCh. 10 - Prob. 42PCh. 10 - Figure 10-13b shows a spring of constant thickness...
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