Apaper mill processes rolls of paper having a density of 984 kg/m3. the paper roll is 1.50 m outside diameter (od) by 0.22 m inside diameter (id) by 3.23 m long and is on a simply supported, hollow, steel shaft. find the shaft id needed to obtain a maximum deflection at the center of 3 mm if the shaft od is 22 cm. assume the shaft to be the same length between supports as the length of the paper roll