A550 mm outer diameter by 350mm inner diameter cast iron hub with 100gpa modulus of elasticity and 300mm in length is to have a shrink fit with a 350mm outer diameter by 250mm inner diameter steel shaft with 200gpa modulus of elasticity. the maximum tangential stress is to be 100mpa. given that the coefficient of friction is to be 0.15, the to be 0.30 and cast iron is to be 0.2. determine: i) the maximum interference ii) the axial force required to fit the hub on to the shaft iii) the torque transmitted by the shaft