A bearing for the output shaft of a 200 hp motor is to be heated to expand it enough to press on the shaft. At 70°F the bearing has an inside diameter of 4.000 in and an outside diameter of 7.000 in. The shaft has an outside diameter of 4.004 in. The modulus of elasticity for the shaft and bearing is 30 × 106 lb/in2 and the coefficient of thermal expansion is 6.7 × 10-6 in/in per °F.
(a) At what temperature will the bearing have 0.005 of clearance to fit over the shaft?
(b) After it is assembled and cooled, what is the radial pressure between the bearing and shaft?
(c) Determine the maximum effective stress in the bearing.