a. Determine the torque T and the radius of the elastic-plastic boundary. b. Determine the residual stresses at the outer radius and at the elastic-plastic boundary. c. Determine the permanent set us in the member.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter3: Torsion
Section: Chapter Questions
Problem 3.5.2P: A circular steel tube with an outer diameter of 75 mm and inner diameter of 65 mm is subjected to...
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A solid circular structural steel torsion member (TY
=150 MPa and G = 77.5 GPa) has diameter D = 100
mm. The member is subjected to opposing torques
of magnitude T, which cause an angle of twist of y =
10.0° over the length L = 1.50 m. Then the torsion
member unloads elastically.
a. Determine the torque T and the radius
of the elastic-plastic boundary.
b. Determine the residual stresses at the
outer radius and at the elastic-plastic
boundary.
c. Determine the permanent set þs in the
member.
Transcribed Image Text:A solid circular structural steel torsion member (TY =150 MPa and G = 77.5 GPa) has diameter D = 100 mm. The member is subjected to opposing torques of magnitude T, which cause an angle of twist of y = 10.0° over the length L = 1.50 m. Then the torsion member unloads elastically. a. Determine the torque T and the radius of the elastic-plastic boundary. b. Determine the residual stresses at the outer radius and at the elastic-plastic boundary. c. Determine the permanent set þs in the member.
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