s shown in Figure Q1. Dimensions th of 90 MPa. The diameter of the etion at A:

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.2.17P: A hollow, circular, cast-iron pipe (Ec =12,000 ksi) supports a brass rod (Ec= 14,000 ksi} and weight...
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A solid circular shaft OABC with a diameter of 30 mm is supported at bearing O and B, and
subjected to the loadings as shown in Figure Q1. Dimensions are in mm. The shaft is made of
an alloy with a yield strength of 90 MPa. The diameter of the machine component at A is 300
mm. Based on the shaft section at A:
(a) Calculate the stresses acting at the critical point of the section.
(b) Determine whether the material would yield based on the von Mises, and Tresca yield
criterion.
(c) Draw the yield loci of both the yield criteria and indicate the operating stress state on
the plot.
950 N
10 N
300 D.
T (N.m)
500
A
Co
B
350
325
Figure Q1
Transcribed Image Text:A solid circular shaft OABC with a diameter of 30 mm is supported at bearing O and B, and subjected to the loadings as shown in Figure Q1. Dimensions are in mm. The shaft is made of an alloy with a yield strength of 90 MPa. The diameter of the machine component at A is 300 mm. Based on the shaft section at A: (a) Calculate the stresses acting at the critical point of the section. (b) Determine whether the material would yield based on the von Mises, and Tresca yield criterion. (c) Draw the yield loci of both the yield criteria and indicate the operating stress state on the plot. 950 N 10 N 300 D. T (N.m) 500 A Co B 350 325 Figure Q1
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