A shaft has a diameter of 20 mm and is made of an aluminum alloy with yield stress Y = 330 MPa. The shaft is subjected to an axial load P = 50.0 kN. Use the octahedral shear-stress criterion of failure.
a. Determine the torque T that can be applied to the shaft to initiate yielding.
b. Determine the torque T that can be applied to the shaft, if the shaft is designed with a factor of safety SF = 1.75 for both P and T against initiation of yielding.
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