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) 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. 1.5 ksi 5.67 ksi 7.5 ksi 10 ksi 20 ksi 36 ksi 65.15 ksi 0.002 in 0.003 in 0.007556 0.001 in 0.02 in 0.104242 in 57.6 kip 60 kip 48 kip 80 kip 600 kip

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) 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. 1.5 ksi 5.67 ksi 7.5 ksi 10 ksi 20 ksi 36 ksi 65.15 ksi 0.002 in 0.003 in 0.007556 0.001 in 0.02 in 0.104242 in 57.6 kip 60 kip 48 kip 80 kip 600 kip

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.6.7P: A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The...

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A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The wire is made of a copper alloy having a stress-strain relationship that may be described mathematically by =18,0001+30000.03(=ksi) in which is nondimensional and has units of kips per square inch (ksi). (a) Construct a stress-strain diagram for the material. (bj Determine the elongation, of the wire due to the Forces P. (c) IF the forces are removed, what is the permanent set of the bar? (d) If the forces are applied again, what is the proportional limit?
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