A solid circular structural steel torsion member (τY =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 ψ = 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 ψs in the member.
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