After the solid shaft of Prob. 3.116 has been loaded and

Chapter 3, Problem 3.117

(choose chapter or problem)

After the solid shaft of Prob. 3.116 has been loaded and unloaded as described in that problem, a torque \(\mathbf{T}_{1}\) of sense opposite to the original torque T is applied to the shaft. Assuming no change in the value of \(\phi_{Y}\), determine the angle of twist \(\phi_{1}\) for which yield is initiated in this second loading and compare it with the angle \(\phi_{Y}\) for which the shaft started to yield in the original loading.

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