The stepped shaft shown below is subjected to a pure torque, T = 1000 in-lb. For a steel shaft with G = 11.7 Mpsi, calculate the total angle of twist, θ, in degrees, in the shaft.
D = 0.9 in, Dz = 1.8 in, D = 2.7 in, I = 0.9 in, I = 2.8 in, l3 = 3.5 in.