Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Chapter 10.7, Problem 64P
Solve Prob.10−63 using the maximum distortion energy theory.
10−63. If a machine part is made of tool L2 steel and a critical point in the material is subjected to in-plane principal stresses σ1 and σ2= −0.5 σ1, determine the magnitude of σ1 in ksi that will cause yielding according to the maximum shear stress theory.
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1. We can visualize the factor of safety for an arbitrary stress using a surface in principal stress space. For
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The yield stress for a zirconium-magnesium alloy is sY = 15.3 ksi. If a machine part is made of this material and a critical point in the material is subjected to in-plane principal stresses s1 and s2 = -0.5s1, determine the magnitude of s1 that will cause yielding according to the maximum shear stress theory.
123.41 MPa 173.41 MPa 156.16 MPa
173.41 MPa -123.41 MPa -256.16 MPa
2.22 1.68 1.94
1.94 1.68 2.22
Chapter 10 Solutions
Mechanics of Materials
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Understanding Failure Theories (Tresca, von Mises etc...); Author: The Efficient Engineer;https://www.youtube.com/watch?v=xkbQnBAOFEg;License: Standard youtube license