An element of a ductile material on the free surface of a component is subjected to the stress system shown in Figure 1. (a) Determine the direct and shear stress on the plane 0 = 35⁰. (b) Calculate the magnitude and direction of the principal stresses, identifying clearly which angle represents the maximum principal stress. (c) Calculate the maximum shear stress. What is its significance in design?

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.3.18P: -18 through 7.3-22 An element in plane stress (see figure) is subjected to stresses o, a., and (a)...
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An element of a ductile material on the free surface of a
component is subjected to the stress system shown in Figure 1.
(a) Determine the direct and shear stress on the plane 0 = 35⁰.
(b)
Calculate the magnitude and direction of the principal
stresses, identifying clearly which angle represents the
maximum principal stress.
(c) Calculate the maximum shear stress. What is its significance
in design?
100 MN m-²
0
200 MN m-²
80 MN m-²
100 MN m-²
T200
Figure 1: Stresses on element
200 MN m-²
1..
1x
X
Transcribed Image Text:An element of a ductile material on the free surface of a component is subjected to the stress system shown in Figure 1. (a) Determine the direct and shear stress on the plane 0 = 35⁰. (b) Calculate the magnitude and direction of the principal stresses, identifying clearly which angle represents the maximum principal stress. (c) Calculate the maximum shear stress. What is its significance in design? 100 MN m-² 0 200 MN m-² 80 MN m-² 100 MN m-² T200 Figure 1: Stresses on element 200 MN m-² 1.. 1x X
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