A dump truck axle with a diameter of 1.614 in. and a length of 37.1 in. failed when the shear stress reached 74 ksi on the outer surface. The shear modulus of the steel is G = 11,500 ksi. Assuming the shaft did not yield prior to failure, determine the angle of twist of the axle when it failed.

The solid circular steel shaft of a screwdriver is subjected to torque T. The shaft has a diameter of 0.498 in. and a length of L = 3.75 in. For a factor of safety of 1.9 and a shearing yield strength of 19 ksi, determine the maximum torque T that can be applied to the shaft.

A torque of 23 lb·in. is applied to one end of a 5-in.-long composite shaft that consists of two polymer tubes. The outer tube has a polar moment of inertia of 0.0312 in.4 and a shear modulus of 180 ksi. The inner tube has a polar moment of inertia of 0.00667 in.4 and a shear modulus of 160 ksi. Determine the magnitude of the torque produced in the inner tube.

A steel [E = 30,500 ksi, G = 11,600 ksi] socket extension (2) has a diameter of 0.31 in. and a length of L = 2.3 in. It connects socket (3) to ratchet handle (1) which is 5.3 in. long. If a perpendicular force of 5.0 lb is applied to the end of the ratchet handle, determine the socket extension’s angle of twist.

A steel [E = 30,300 ksi, G = 11,800 ksi] socket extension (2) has a diameter of 0.49 in. and a length of L = 1.8 in. It connects socket (3) to ratchet handle (1) which is 7.3 in. long. If a perpendicular force of 14 lb is applied to the end of the ratchet handle, determine the socket extension’s angle of twist.

A gear train is composed of four gears, where gears A and B are on the same shaft. Gear A has 60 teeth, gear B has 36 teeth, gear C has 48 teeth, and gear D has 12 teeth. If a torque of 2.45 N·m is applied to gear A, determine the torque at gear D.

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 = 20.0 N·m, TB = 34.4 N·m, TC = 22.5 N·m, TD = 39.1 N·m, and TE = 31.0 N·m.

A steel [E = 30,200 ksi, G = 11,700 ksi] socket extension (2) has a diameter of 0.33 in. and a length of L = 2.0 in. It connects socket (3) to ratchet handle (1) which is 4.6 in. long. If a perpendicular force of 6.0 lb is applied to the end of the ratchet handle, determine the maximum shear stress in the socket extension.

The solid circular steel shaft of a screwdriver is subjected to torque T. The shaft has a diameter of 0.451 in. and a length of L = 4.25 in. For a factor of safety of 2.0 and a shearing yield strength of 16 ksi, determine the maximum torque T that can be applied to the shaft.

A dump truck axle with a diameter of 1.60 in. and a length of 36 in. failed while transmitting a power of 530 hp and a torque of 5,430 lb-ft. At what speed was the axle spinning when it broke?