A beam element of a rectangular section $(h^{**}2h)$ and a length of $(4$h$),$ rest between two top and bottom smooth horizontal surfaces $.$

A linear variable stress $({}_0)$ is applied in the $x-$direction $.$ Determine the movement of point $(P)$ in $(x,y,z)$ direction $(u,v,w)$ in term $(($:$E,v^{\text{'}}\}$