Problem $2\mathrm{.}6-3$

A standard brick $($dimensions $8$ in $4$ in $2\mathrm{.}5$ in$)$ is compressed lengthwise

by a force P $,$ as shown in the figure. If the ultimate shear stress for brick is

$1200$ psi and the ultimate compressive stress for brick is $3600$ psi $,$ what

force $P_{\text{m}\text{a}\text{x}}$ is required to break the brick?

Solution: