Problem # p041

Torsion

On the shaft shown are mounted three gears A, B, and C. At gear A a counter-clockwise torque of 180 Nm is applied. At gear B and C the torques are 120 Nm and 60 Nm, respectively, both acting in clockwise direction. (Looking from C toward A).
Using G = 27 GPa (Aluminum), find the maximum shearing stress for the entire shaft and the angle of twist between gear A and C.