(a) Figure Q1 shows a 1.4 m long steel shaft that consists of a hollow segment AB and a solid segment BC. The shaft is fixed at C and is subjected to two external torques TA and TB at points A and B, respectively. The torque developed at the fixed end C is 750 kN.m in the direction as indicated in the figure.

i. Determine the values of TA and TB if the corresponding angle of twist of end A is zero.

ii. Calculate the maximum shear stress developed in the shaft. Give your comment whether the shaft will fail or not if the allowable shear stress of the shaft is 75 MPa.

(b) Determine the torque developed in a shaft which rotates at a frequency of 25 Hz and transmits power of 30 kW from an engine to a generator. 

1.4 m 750 kN.m a 0.8 m C B TB 160 mm 200 mm- a A TA Section a-a Figure Q1