In the gear$-$shaft system shown, an external force produces a periodic fluctuating torque between $0$ and $2000$ lbf$-$in$.$ Due to the given forces, the maximum bending moments at the positions of gears A and B are $900$ lbf$-$in and $2000$ lbf$-$in$,$ respectively, and these act as completely reversed loads.

Using the given formulas, calculate the factor of safety at the location of gear B$,$ assuming the shaft diameter is $2$ inches. The material is steel with ultimate strength Su$=108$kpsiS$\_$u $=108\backslash ,\backslash$text$\{$kpsi$\}$Su$=108$kpsi, yield strength Sy$=62$kpsiS$\_$y $=62\backslash ,\backslash$text$\{$kpsi$\}$Sy$=62$kpsi, and the shaft is machined with minor shocks considered. Round the final answer to two decimal places.