A 32 inch long, solid steel circular shaft, 3 inches in diameter, is twisted through an angle of 0.012 radians. Calculate the maximum shear stress developed in the shaft.

A 18 mm diameter, solid circular shaft is made of a metal with a shear modulus, G = 19,515 MPa. The shaft is 1.9 m long. If a torque of 9 Nm is applied to one end of the shaft, what is the angle of rotation in the shaft in radians? Answer to 3 decimal places and assume the angle is in a positive direction.

(7) The shaft shown is machined from C1040, OQT (oil-quenched treatment) @ 1,000°F. It is subjected to a torque that varies from zero to 10,000in-lb. (F = 0). Let r = 0.2D and N = 2. (a) Compute D. (b) What is the maximum torsional stress in the shaft?

12. A steel shaft is 50 cm in length and has a circular cross section. It must be able to handle a torque of 10 N.m. and have an angle of twist of no more than 2°. (See Table 7.1 for value of shear modulus) (a) What is the minimum diameter of the shaft? (b) If instead a hollow steel shaft is used with an outer diameter of 2.0 cm, what is the inner diameter and the weight savings (as a percentage of the solid shaft weight), still for the same torque and angle of twist?