The figure shows a formed round-wire cantilever spring subjected to a varying force. The hardness tests made on 50 springs gave a minimum hardness of 400 Brinell. It is apparent from the mounting details that there is no stress concentration. A visual inspection of the springs indicates that the surface finish corresponds closely to a hot- rolled finish. Ignore curvature effects on the bending stress. What number of applica- tions is likely to cause failure? Solve using: (a) Goodman criterion. (b) Gerber criterion.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.8.10P: A steel punch consists of two shafts: upper shaft and lower shaft. Assume that the upper shaft has a...
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6-28 The figure shows a formed round-wire cantilever spring subjected to a varying force.
The hardness tests made on 50 springs gave a minimum hardness of 400 Brinell. It is
apparent from the mounting details that there is no stress concentration. A visual
inspection of the springs indicates that the surface finish corresponds closely to a hot-
rolled finish. Ignore curvature effects on the bending stress. What number of applica-
tions is likely to cause failure? Solve using:
(a) Goodman criterion.
(b) Gerber criterion.
= 40 lbf
max
12 in-
= 20 lbf
min
Problem 6-28
Transcribed Image Text:6-28 The figure shows a formed round-wire cantilever spring subjected to a varying force. The hardness tests made on 50 springs gave a minimum hardness of 400 Brinell. It is apparent from the mounting details that there is no stress concentration. A visual inspection of the springs indicates that the surface finish corresponds closely to a hot- rolled finish. Ignore curvature effects on the bending stress. What number of applica- tions is likely to cause failure? Solve using: (a) Goodman criterion. (b) Gerber criterion. = 40 lbf max 12 in- = 20 lbf min Problem 6-28
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