A machine shaft supported on bearings 11 ft apart is to transmit 288 hp at 200 rpm while subjected to a reversed bending load of 1050 lb located at a distance of 3.7 ft from one bearing. Allow a shear stress of 5000 psi and a bending stress of 11000 psi. Determine the shaft diameter for suddenly applied, heavy shocks of loading

2. If the solid shaft is made from a red brass alloy having an allowable shear stress of Tallow = 4 ksi, determine the maximum allowable torque T that can be applied at B. (please note that the problem is statically indeterminate!) 2 ft 4 in. 2 in. T 2 in. 4 ft

3. A solid circular shaft is 1.8 m and is made of steel with G = 70 GPa. When rotating at w = 70 rad/s, it transmits 28 kW of power from engine A to generator B. As the design engineer, you are asked to: (a) Determine the shaft's smallest allowable radius if the allowable shear stress is T allow = 80 MPa. (b) Determine the shaft's smallest allowable radius If the allowable angle of twist is allow = 0.1 rad (in other words, the shaft is restricted not to twist more than 0.1 rad). (c) If both conditions (a) and (b) are required simultaneously, which radius will you select as the allowable radius. (In other words which condition controls the situation)? Briefly explain your answer. (1 kW = 1000 Watts) B

(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