Consider the shaft below. This shaft is rotating with a rotational rate of 500 rpm. All the dimensions shown are in millimeters. All the shoulders have fillets with a 2 mm radius. Assume the material used to make the shaft is cold-drawn AISI 1020. Assume the keyseats have dimensions of r/d = 0.02 at points A and B. The loads applied to the shaft from the gears are shown in the 3D image. Points O and C are supported by bearings. a. Calculate the radial support forces on the bearings, assuming a simply supported beam. b. Plot the shear force and moment diagrams for this shaft. c. Determine the critical points on this shaft. d. Determine the midrange and alternating components of the bending moment and torque on critical points. e. Determine the endurance limit for this shaft. Assume 0.99 reliability. (Make reasonable assumptions for other correction factors) f. Focusing on the critical points calculate the minimum factor of safety using goodman's criteria for infinite life. Does this shaft break? 15 30 I -30 40 300 285 325 Gear center 50 K 04 20 10kN kN.m/ 37 KN 3EL 75 A 980 20 350 B Gear center 2701 B 50 3 kN.m 300 40 285 325 30 X 2 30 L