Short answer $(20$ points$)$

Periodic fluctuation torque $($torque$)$ of $0$ to $2000$ lbf$-$in is applied to the gear$-$

is system such as the left by external forces P $1$ and $P2.$ The bending moments of up to $900$ lbf$-$in and $2000$ lbf$-$in$,$ respectively, act in the form of complemently reversed loading at the A and $B$ gear positions by a given zy force.

Use the following equations to find a safety factor if the diameter of the axis is $2$ in at the position of gear $B.$

$($The material is steel and made of $Su=108k,Sy=62$ kpsi $,$ Machining. assume minor shocks. Calculate to two decimal places.$)$

Uncorrected fatigue strength estimates: $S_e^{\text{'}}=0\mathrm{.}5S_u,$ assume $S_{es}^{\text{'}}=S_e^{\text{'}}$

Corrected fatigue strength estimates: