A beam with the cross section shown is bent about a horizontal axis with a bending moment of $47$kip$*in.$

$($a$)$ Determine the net force acting on the top flange $($upper shaded area$).$

$[7\mathrm{.}75$ kips$]$

$($b$)$ Determine the force acting on the lower half of the web $($lower shaded area$).$

$[1\mathrm{.}252$ kips$]$