1) The shaft shown in the figure is machined from AISI 1040 CD steel. The shaft rotates at 1600 rpm and is supported in rolling bearings at A and B. The applied forces are F1-1000 lbf and F2-400 lbf. The torque, 100 lbf.in, is also applied between C and D. Determine the minimum fatigue factor of safety based on: a) Soderburg b) Modified-Goodman c) Gerber d) ASME-DE (ASME-DE criteria e) If infinite life is not predicted, estimate the number of cycles to failure. Also check for yielding Notes on Grading: Problem 1 (80%) ii. iii. Bending moment and Torque diagram including reaction forces at A and B (25%) Modified endurance limit (including modifying factors (25%) Questions from a) to e)( 30%) rIin Tin in 1 in 3 in 10 in in All fillets i, in R.