A dump truck axle with a diameter of 1.729 in. and a length…

A dump truck axle with a diameter of 1.729 in. and a length of 37.0 in. failed when the shear stress reached 70 ksi on the outer surface. The shear modulus of the steel is G = 11,300 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…

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 torque of 22 lb·in. is applied to one end of a 7-in.-long…

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.