A dump truck axle with a diameter of 1.683 in. and a length of 38.0 in. failed when the shear stress reached 90 ksi on the outer surface. The shear modulus of the steel is G = 11,800 ksi. Assuming the shaft did not yield prior to failure, determine the angle of twist of the axle when it failed.

A load of P = 9 N is applied to a hex wrench that has lengths a = 24 mm and b = 86 mm. Determine the torque applied to the set screw.

A steel [E = 30,300 ksi, G = 11,700 ksi] socket extension (2) has a diameter of 0.48 in. and a length of L = 5.0 in. It connects socket (3) to ratchet handle (1), which is 6.8 in. long. If a perpendicular force of 11 lb is applied to the end of the ratchet handle, determine the socket extension’s angle of twist.

A dump truck axle with a diameter of 1.755 in. and a length of 37.6 in. failed when the shear stress reached 89 ksi on the outer surface. The shear modulus of the steel is G = 11,600 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 = 22 lb·in. The shaft has a diameter of 0.248 in. and a length of L = 4.50 in. The shear modulus of the steel is G = 11,200 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 = 21 lb·in. The shaft has a diameter of 0.235 in. and a length of L = 4.25 in. The shear modulus of the steel is G = 12,000 ksi. Determine the magnitude of the angle of twist of the shaft in degrees.

The same torque is applied to three socket extensions. They have the same length and modulus of rigidity but different diameters. Which one will have the smallest maximum shear stress?

A rock suspended by a weighing scale weighs 25 N out of water and 8 N when submerged in water. What is the buoyant force on the rock?

The same torque is applied to three socket extensions. They have the same length and modulus of rigidity but different diameters. Which one will have the largest polar moment of inertia?

How much is the buoyant force that acts on a 100,000-N ship?