Problem $06\mathrm{.}017-$ The rotating shaft is machined from AISI $1040$ CD steel

The shaft shown in the figure is machined from AISI $1040$ CD steel. The shaft rotates at $1600$ rpm and is supported in rolling bearings at $\backslash ($ A $\backslash )$ and $\backslash ($ B $\backslash ).$ The applied forces are $\backslash (\backslash$mathrm$\{$F$\}\_\{1\}=2,000\backslash$mathrm$\{$lbf$\}\backslash )$ and $\backslash (\backslash$mathrm$\{$F$\}\_\{2\}=3000\backslash$mathrm$\{$lbf$\}\backslash ).$ Determine the minimum fatigue factor of safety based on achieving infinite life. If infinite life is not predicted, estimate the number of cycles to failure. Also check for yielding.

Problem $06\mathrm{.}017.$d $-$ Determine the expected life of the part

What is the expected life of this part? $($You may enter your calculation using scientific notation.$)$

he expected life of this part is

cycles.