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Required information

A rotating step shaft is loaded as shown, where the forces F$\_($A$)$ and F$\_($B$)$ are constant at $550$ lbf and $275$ lbf $,$ respectively, and the torque T alternates from $0$ to $1800$ lbf $.$in$.$ The shaft is to be considered simply supported at points O and C and is made of AISI $1045$ CD steel with a fully corrected endurance limit of S$\_($e$)=40$k$\backslash$psi $.$ Let K$\_($f$)=2\mathrm{.}1$ and K$\_($fs$)=1\mathrm{.}7.$ Take the value of design factor to be $2\mathrm{.}5.$

Determine the minimal acceptable diameter of section BC using the DE$-$Gerber criterion. $($Round the final answer to three decimal places.$)$

The minimal acceptable diameter of section BC is in$.$

Determine the minimal acceptable diameter of section $\backslash ($ B C $\backslash )$ using the DE$-$Goodman criterion. $($Round the final answer to three decimal places.$)$

The minimal acceptable diameter of section $\backslash ($ B C $\backslash )$ is in$.$