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 372 rpm.

Two pieces of high-density polyethylene [G = 0.80 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 140 mm long, and tube (2) is 100 mm long. Both tubes have an outsider diameter of 22.0 mm and an inside diameter of 17.4 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).

Loads P = 707 N and Q = 499 N act on an oak beam. Determine the magnitude of the largest bending moment in the beam. Let a = 0.5 m and b = 0.9 m.

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 6.9 N·m is applied to the fitting. Tube (1) is 155 mm long, and tube (2) is 95 mm long. Both tubes have an outsider diameter of 21.0 mm and an inside diameter of 15.8 mm. Determine the magnitude of the torque produced in tube (2).

Two pieces of high-density polyethylene [G = 0.80 GPa] tubing are fitted together and firmly clamped at their ends. A torque of 9.4 N·m is applied to the fitting. Tube (1) is 150 mm long, and tube (2) is 90 mm long. Both tubes have an outsider diameter of 23.0 mm and an inside diameter of 18.4 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 378 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.

In the gear system shown, the motor applies a torque of 454 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.