A solid steel shaft ABCDE turns freely in bearings at points A and E. The shaft is driven by the gear at C, which applies a torque T2 5 325 lb-ft. Gears at B and D are driven by the shaft and have resisting torques T1 5 200 lb-ft and T3 5125 lb-ft, respectively. Segments BC and CD have lengths LBC 5 20 in. And LCD 515 in. And the shear modulus G 511,600 ksi. Determine the minimum required diameter (d) of the shaft if the allowable shear stress t a 56 ksi. Also calculate the angle of twist between gears B and D