2. (20%) A solid steel shaft ABCDE having diameter d = 40 mm turns freely in bearings at point A and E. The shaft is driven by a gear at C, which applies a torque T₂ = 500 N*m in the direction shown in the figure. Gears at B and D are driven by the shaft and have resisting torques T, = 300 N*m and T3 = 200 N*m, respectively, acting in the opposite direction to the torque T2. Segments BC and CD have lengths LBC 500 mm and LCD 400 mm, respectively, and the shear modulus G80 GPa. Determine the maximum shear stress in each part of the shaft and the angle of twist between gears B and D. T3 D LBCLCD