A pump shaft (simply supported, 2 m span) carries 300 N at mid-span and delivers 15 kW at 1440 rpm. Find (a) torque, (b) maximum bending moment, (c) bending and torsional stresses for d = 30 mm, (d) diameter by MSST with 60 MPa allowable, (e) the factor of safety of the 30 mm shaft, taken as allowable stress ÷ induced stress.