Find the diameter of the shaft (based on torsional stiffness) for which the angle of twist is not to exceed 1 degree in 20 diameters. The shaft transmits 5 hp and rotates 100 rpm. The modulus of elasticity (shear) is 12,000,000 psi and the modulus of elasticity (tension) is 30,000,000 psi. a. 7.8048 inches.       c. 3.6286 inches b. 1.4524 inches        d. 5.2462 inches

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A: For solution refer below images.

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Torsion

In mechanical engineering, torque, torsion, and twisting moment are three of the most important concepts which have different meanings. Torque is the consequence of a moment of a force that produces an angular acceleration in a body or induces rotational kinetic energy in a body. For instance, in an automobile, the power transmission shaft is a body that is always under rotation due to the external torque acting on it, this torque is created by the engine.