A propeller shaft for a small machine is made of a solid steel bar 104mm in diameter.The allowable stress in shear is 48MPa, and the allowable rate of twist is 2.0° in 3.5meters.Assuming that the shear modulus of elasticity is G=80GPa, calculate the maximum torque that can be applied to the shaft.

Could you answer quickly pls? ( course: strength of materials 1)

(2) The shaft consists of a 3-in diameter aluminum segment that is rigidly joined to a 2-in diameter steel segment. The ends of the shaft are attached to rigid supports, Calculate the angle of twist developed at the interface of the two segments when the torque T = 50 kip in is applied. Use G = 4×106 psi for aluminum and G = 12×106 psi for steel. | Aluminum 3-in. diameter 6 ft T Steel 2-in. diameter 3 ft D

A circular-closed-tube shaft, with an outer radius of 20 mm and an inner radius of 15 mm, and 650 mm long, is transmitting 50kW of power while rotating at a frequency of 20HZ. Compute the maximum shear stress (in Pa) and the angle of twist (in degree) for the shaft. The shear modulus G is 100 GPa. Hint: Please refer to the table of K and Q factors in the lecture notes.