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

A 3 ft long solid SAE4340 OQT1000 steel shaft is required to transmit a power of 200 HP. The shaft speed is 1500 rpm. The allowable shear stress is 40 ksi and the allowable angle of twist per foot of length is 0.05 radians. Determine the minimum diameter that meets the design requirements. Note: Shear modulus for steel is given in Appendix 3/ Page 788.

A shaft is made of an alloy steel that has an allowable shear stress of ????? = ?????. If the diameter of the shaft is 1.5in. Determine the maximum torque T that can be transmitted and What would be the maximum torque T' if a 1in diameter hole were drilled through shaft. The figure is in the attached image

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.