Problem $08\mathrm{.}079-$ Bolt pattern supporting a cantilever beam

The figure shows a welded fitting that has been tentatively designed to be bolted to a channel so as to transfer the $2,000$Ibf load into the channel. The channel and the two fitting plates are of hot$-$rolled stock having a minimum $S_y$ of $42$ kpsi $.$ The fitting is to be bolted using six SAE grade $4$ shoulder bolts. Assume the bolt threads do not extend into the joint. Check the strength of the design by computing the factor of safety for all possible modes of failure. Give the overall joint factor of safety.

Problem $08\mathrm{.}079.$e $-$ Bolt pattern supporting a cantilever beam

Find the factor of safety with respect to the bending stress in the bracket. $($Round the final answer to three decimal places.$)$

The factor of safety with respect to the bending stress in the bracket $n_{\text{b}\text{e}\text{n}\text{d}}$ is

Problem $08\mathrm{.}079.$f $-$ Bolt pattern supporting a cantilever beam

Find the overall joint factor of safety.

The overall joint factor of safety $n_{\text{o}\text{v}\text{e}\text{r}\text{a}\text{l}\text{l}}$ is