MECHANICS OF MATERIALS
11th Edition
ISBN: 9780137605521
Author: HIBBELER
Publisher: RENT PEARS
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Chapter 10.7, Problem 76P
The components of plane stress at a critical point on a thin steel shell are shown. Determine if failure (yielding) has occurred on the basis of the maximum distortion energy theory. The yield stress for the steel is σY = 700 MPa.
*10−76. Solve Prob.10−75 using the maximum shear stress theory.
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The state of plane stress at a critical point in a steel machine bracket is shown. If the yield stress for steel is sY = 36 ksi, determine if yielding occurs using the maximum distortion energy theory.
Q1: A ductile bar of aluminum 1010 alloy.
Using the distortion-energy and maximum-
shear-stress theories determine the factors
of safety for the following plane stress
states:
(α) σχ
= 180 MPa, σy = 100 MPa
(b) σx = 180 MPa, Txy =
(c) σx = -160 MPa, Txy
= 150 MPa
(d) Txy
100 MPa
= 100 MPa
A ductile hot-rolled steel bar has a minimum yield strength in tension and compression of 350 MPa. Using the distortion-
energy and maximum-shear-stress theories, determine the factors of safety with the following principal stresses.
σA = 90 MPa, and oß = -98 MPa
The factor of safety from the maximum-shear-stress theory is
"
and the factor of safety from the distortion-energy theory is
Chapter 10 Solutions
MECHANICS OF MATERIALS
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