Asteel collar whose outside diameter 4 in at room temperature is to be shrink fitted onto a steel shaft by heating it to an elevated temperature while the shaft remains at room temperature. the shaft diameter 2 in. for assembly when the collar is heated to a temperature of 1,200°f, the clearance between the shaft and the collar is to ease of be 0.01 in. determine: (a) the initial inside diameter of the collar at room temperature so that this clearance is satisfied. (b) the radial pressure. (c) maximum effective stress on the resulting interference fit at room temperature (70°f) note: for steel, the elastic modulus -30x10^6 lb/in3 and coefficient of thermal expansion -6.7 x 10^-6 in in per °f.