Figure below shows two designs for a beam to carry a fluctuating load from 0 to 1200 lbf. Determine the design factor for each beam geometry. The shaft material is 1040 CD steel (S=80 kpsi, S, = 71 kpsi). Experiments, with actual shaft surface test surface samples, yielded an endurance limit of 30 kpsi. In your analysis, assume 99% reliability. Select Goodman fatigue failure criterion for analysis. 1200 lb 10 in- -10 in- 2-in dia. 0.2r typical 2-in dia. 20 in- 1200 lb 3-in dia.