A steel jacket (E = 200 GPa and v = 0.3) having an inside diameter of 150 mm and an outside diameter of 200 mm is shrunk over a tube having an inside diameter of 100 mm. If the laminated cylinder is designed so that the maximum tensile stress in the tube will equal the maximum tensile stress in the jacket after an internal pressure of 165 MPa is applied to the assembly, determine The initial shrinkage pressure required. The interference needed to produce this shrinkage pressure.