An axial load P is applied to a 150"-long continuous bar with the cross-sectional areas (4) shown in the figure below. The stress-strain relation of the material used to make this bar obtained during a tension test can be expressed as follows: P € = A = 1 in² 50"- 0 16000 where o is the normal stress in ksi. a) Determine the axial elongation (in inches) and strain (in %) of the bar when P = 5 kips. b) Find the permanent elongation (in inches) and strain (in %) of the bar after removal of P in a). + 3 (165)³ A=¹in² 100"- P Note: You can assume that the elastic modulus (E) of material of the bar is equal, at all times, to the slope of the stress-strain curve at the origin.
An axial load P is applied to a 150"-long continuous bar with the cross-sectional areas (4) shown in the figure below. The stress-strain relation of the material used to make this bar obtained during a tension test can be expressed as follows: P € = A = 1 in² 50"- 0 16000 where o is the normal stress in ksi. a) Determine the axial elongation (in inches) and strain (in %) of the bar when P = 5 kips. b) Find the permanent elongation (in inches) and strain (in %) of the bar after removal of P in a). + 3 (165)³ A=¹in² 100"- P Note: You can assume that the elastic modulus (E) of material of the bar is equal, at all times, to the slope of the stress-strain curve at the origin.
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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