Blog

A dump truck axle with a diameter of 1.61 in. and a length of 38 in. failed while transmitting a power of 505 hp and a torque of 5,260 lb-ft. At what speed was the axle spinning when it broke?

The solid circular steel shaft of a screwdriver is subjected to a pure torque of T = 20 lb·in. The shaft has a diameter of 0.228 in. and a length of L = 4.25 in. The shear modulus of the steel is G = 11,600 ksi. Determine the magnitude of the angle of twist of the shaft in degrees.

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 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 0.859 N·m is applied to gear D, determine the torque at gear A.

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 a pure torque of T = 20 lb·in. The shaft has a diameter of 0.237 in. and a length of L = 3.50 in. The shear modulus of the steel is G = 11,600 ksi. Determine the magnitude of the angle of twist of the shaft in degrees.

A steel [E = 30,500 ksi, G = 11,700 ksi] socket extension (2) has a diameter of 0.50 in. and a length of L = 1.8 in. It connects socket (3) to ratchet handle (1) which is 6.7 in. long. If a perpendicular force of 15 lb is applied to the end of the ratchet handle, determine the socket extension’s angle of twist.

A load of P = 10 N is applied to a hex wrench that has lengths a = 21 mm and b = 64 mm. Determine the torque applied to the set screw.

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 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.