The solid circular steel shaft of a screwdriver is subjected to torque T. The shaft has a diameter of 0.495 in. and a length of L = 4.25 in. For a factor of safety of 1.7 and a shearing yield strength of 21 ksi, determine the maximum torque T that can be applied to the shaft.

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

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

A torque of 22 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 0.046 in.4 and a shear modulus of 180 ksi. The inner tube has a polar moment of inertia of 0.00687 in.4 and a shear modulus of 175 ksi. Determine the magnitude of the torque produced in the inner tube.

A steel [E = 30,200 ksi, G = 11,600 ksi] socket extension (2) has a diameter of 0.62 in. and a length of L = 1.3 in. It connects socket (3) to ratchet handle (1) which is 8.9 in. long. If a perpendicular force of 23.0 lb is applied to the end of the ratchet handle, determine the socket extension’s angle of twist.

A torque of 27 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 0.0268 in.4 and a shear modulus of 185 ksi. The inner tube has a polar moment of inertia of 0.00776 in.4 and a shear modulus of 160 ksi. Determine the magnitude of the torque produced in the outer tube.

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 0.244 in. and a length of L = 4.00 in. The shear modulus of the steel is G = 11,400 ksi. Determine the magnitude of the angle of twist of the shaft in degrees.

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

A dump truck axle with a diameter of 1.638 in. and a length of 37.9 in. failed when the shear stress reached 78 ksi on the outer surface. The shear modulus of the steel is G = 12,000 ksi. Assuming the shaft did not yield prior to failure, determine the angle of twist of the axle when it failed.