The solid shaft shown is made of a mild steel that is

Chapter 3, Problem 3.94

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The solid shaft shown is made of a mild steel that is assumed to be elastoplastic with \(G=11.2 \times 10^{6}\) and \(\tau_{Y}=21 \mathrm{ksi}\). Determine the maximum shearing stress and the radius of the elastic core caused by the application of a torque of magnitude (a) \(T=100 \text { kip·in. }\), (b) \(T=140 \mathrm{kip} \cdot \mathrm{in}\).

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