The U$-$channel shown below is $152$ mm wide by $76$ mm tall by $6\mathrm{.}4$ mm thick. It is hot$-$rolled AISI $1006$ steel. The cantilever bar bolted to the channel is hot$-$rolled AISI $1015$ steel. The bolts are M$12$x$1\mathrm{.}75$ ISO $5\mathrm{.}8.$ For a safety factor of $2\mathrm{.}8$ and no friction between materials find the force F that can be applied to the bar.

Look up properties for the different materials.

$($Sol: F $=3782$ N $)$