A dump truck axle with a diameter of 1.70 in. and a length of 37 in. failed while transmitting a power of 420 hp and a torque of 6,030 lb-ft. At what speed was the axle spinning when it broke?

A steel [E = 30,000 ksi, G = 11,900 ksi] socket extension (2) has a diameter of 0.32 in. and a length of L = 2.3 in. It connects socket (3) to ratchet handle (1) which is 5.2 in. long. If a perpendicular force of 8.0 lb is applied to the end of the ratchet handle, determine the socket extension’s angle of twist.

A steel [E = 30,100 ksi, G = 11,900 ksi] socket extension (2) has a diameter of 0.47 in. and a length of L = 1.5 in. It connects socket (3) to ratchet handle (1) which is 7.1 in. long. If a perpendicular force of 18 lb is applied to the end of the ratchet handle, determine the maximum shear stress in the socket extension.

A load of P = 17 N is applied to a hex wrench that has lengths a = 44 mm and b = 165 mm. Determine the torque applied to the set screw.

A torque of 22 lb·in. is applied to one end of a 7-in.-long composite shaft that consists of two polymer tubes. The outer tube has a polar moment of inertia of 0.0406 in.4 and a shear modulus of 180 ksi. The inner tube has a polar moment of inertia of 0.00779 in.4 and a shear modulus of 160 ksi. Determine the magnitude of the torque produced in the outer tube.

A baby-swing motor provides 0.31 W at 5,700 rpm to a shaft that has a diameter of 2.12 mm and a length of 14.0 mm. Determine the maximum shear stress in the shaft.

A load of P = 19 N is applied to a hex wrench that has lengths a = 16 mm and b = 59 mm. Determine the torque applied to the set screw.

The solid circular steel shaft of a screwdriver is subjected to a pure torque of T = 15 lb·in. The shaft has a diameter of 0.240 in. and a length of L = 4.00 in. The shear modulus of the steel is G = 11,500 ksi. Determine the magnitude of the angle of twist of the shaft in degrees.

The solid circular steel shaft of a screwdriver is subjected to a pure torque of T = 23 lb·in. The shaft has a diameter of 0.222 in. and a length of L = 4.50 in. The shear modulus of the steel is G = 11,300 ksi. Determine the magnitude of the angle of twist of the shaft in degrees.

A solid constant-diameter shaft is subjected to the torques shown. Determine the absolute value of the internal torque in segment (2) of the shaft. Assume that TA = 12.3 N·m, TB = 39.4 N·m, TC = 24.1 N·m, TD = 33.4 N·m, and TE = 36.4 N·m.