Author: Anonymous

The polar moment of inertia increases as the diameter of a shaft decreases.

Two pieces of high-density polyethylene [G = 0.74 GPa] tubing are fitted together and firmly clamped at their ends. A torque of 6.4 N·m is applied to the fitting. Tube (1) is 155 mm long, and tube (2) is 110 mm long. Both tubes have an outsider diameter of 23.0 mm and an inside diameter of 18.2 mm. Determine the magnitude of the torque produced in tube (1).

Two pieces of high-density polyethylene [G = 0.75 GPa] tubing are fitted together and firmly clamped at their ends. A torque of 6.1 N·m is applied to the fitting. Tube (1) is 145 mm long, and tube (2) is 95 mm long. Both tubes have an outsider diameter of 22.0 mm and an inside diameter of 16.6 mm. Determine the magnitude of the torque produced in tube (1).

Determine the magnitude of the moment MC for the cantilever beam, where P = 12 kips and M = 35 kip-ft.

In the gear system shown, the motor applies a torque of 330 N-m to the gear at A. Shaft (1) is a solid 35-mm-diameter shaft, and shaft (2) is a solid 50-mm-diameter shaft. The bearings shown allow free rotation of the shafts. Determine the torque TE provided by the gear system at gear E.

Determine the magnitude of the vertical force Ay for the simply supported beam, where w = 5 kips/ft, M = 300 kip-ft, L1 = 11 ft, L2 = 5 ft, and L3 = 9 ft.

A solid constant-diameter shaft is subjected to the torques shown. The bearings shown allow the shaft to turn freely. Determine the internal torque in segment (2) of the shaft. Assume that TA = 255 N·m, TB = 670 N·m, TC = 785 N·m, and TD = 370 N·m.

A compound steel [G = 80 GPa] shaft consists of solid 30-mm-diameter segments (1) and (3) and tube segment (2), which has an outside diameter of 54 mm and an inside diameter of 46 mm. Determine the maximum shear stress in tube segment (2).

A tubular steel [G = 80 GPa] shaft with an outside diameter of D = 90 mm and a wall thickness of t = 8 mm must not twist more than 0.05 rad in a 9-m length. Determine the maximum power that the shaft can transmit at 442 rpm.

A solid constant-diameter shaft is subjected to the torques shown. The bearings shown allow the shaft to turn freely. Determine the internal torque in segment (2) of the shaft. Assume that TA = 200 N·m, TB = 640 N·m, TC = 765 N·m, and TD = 325 N·m.