A circular cross section shaft AB, with diameter 80 mm and length 1.0 m, is made of an alu...

A circular cross section shaft AB, with diameter 80 mm and length 1.0 m, is made of an aluminum alloy (G = 27 GPa); see Figure P5.52. It is attached at point A to a torsional spring with stiffness β = 200 kN • m per rad. A torque T0 = 4 kN • m is applied at the free end B. Determine the rotation of the shaft at B.

FIGURE P5.52