The two-segment statically indeterminate bar in the following figure has a constant cross- sectional area A = 0.8 in². It is made entirely of material that has elastic, perfectly plastic behaviour with oy = 36 ksi and E = 30x103 ksi. If P=50kip is applied to the bar and then removed 20 in. (1) 40 in. (2) B σ -σ E Ey (a) A two-segment bar. (b) A stress-strain diagram for an elastic, perfectly-plastic material. a) Determine the residual stress in each segment. b) Find the permanent deformation at point B. c) Determine the smallest load P needed to cause segment CB to yield.
The two-segment statically indeterminate bar in the following figure has a constant cross- sectional area A = 0.8 in². It is made entirely of material that has elastic, perfectly plastic behaviour with oy = 36 ksi and E = 30x103 ksi. If P=50kip is applied to the bar and then removed 20 in. (1) 40 in. (2) B σ -σ E Ey (a) A two-segment bar. (b) A stress-strain diagram for an elastic, perfectly-plastic material. a) Determine the residual stress in each segment. b) Find the permanent deformation at point B. c) Determine the smallest load P needed to cause segment CB to yield.
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 7.7.18P
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Transcribed Image Text:The two-segment statically indeterminate bar in
the following figure has a constant cross-
sectional area A = 0.8 in². It is made entirely of
material that has elastic, perfectly plastic
behaviour with oy = 36 ksi and E = 30x103 ksi. If
P=50kip is applied to the bar and then removed
20 in.
(1)
40 in.
(2)
B
σ
-σ
E
Ey
(a) A two-segment bar.
(b) A stress-strain diagram for an elastic,
perfectly-plastic material.
a) Determine the residual stress in each
segment.
b) Find the permanent deformation at point B.
c) Determine the smallest load P needed to
cause segment CB to yield.
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