(Solved): Problem Statement: A shaft is subjected to steady torsional stress \( \tau=15 \) and alternating (f ...

Problem Statement: A shaft is subjected to steady torsional stress \( \tau=15 \) and alternating (fully reversed) bending stress \( \sigma=30 \mathrm{kpsi} \), The material is steel with \( S_{U T}=70, S_{y}=50 \mathrm{kpsi} \) and \( S_{e}=40 \mathrm{kpsi} \) that includes the modifying factors. - Calculate the quasi-static \( \mathrm{N}=1 \) (no Langer) safety factor \( \eta_{y} \) for yield. - Calculate the fatigue safety factor \( \eta_{f} \) for infinite life using Modified Gerber criterion. - Calculate the fatigue safety factor \( \eta f \) for infinite life using ASME Elliptic criterion. Answer tolerance \( =2 \% \). Be sure to include units and the correct sign with your answers. Your answers: \( \eta_{v}( \) no units \( )= \) \( \eta f \) Mod. Gerber (no units) \( = \) 7f ASME (no units) =