A solid shaft having a diameter of 80m has a sleeve shrunk on to it. The shrinkage pressure is to be two-third of the maximum hoop stress in the sleeve and the hoop strain is found to be 1.8 × 10⁻⁴ on the internal surface of the sleeve. Determine the least thickness of the sleeve, the shrinkage allowance and the change in diameters of sleeve. E = 200gN/m². v = 0.3