$(5)$ The $12-$in$.-$long beam segment shown in Figure $A$ is subjected to internal bending moments of MA $=700lb-ft$ and $MB=400lb-ft.$ Consider area $(1)$ shown in Figure B$.$

$($a$)$ Sketch a side view of the beam segment and plot the distribution of bending stresses acting at sections A and B$.$ Indicate the magnitude of key bending stresses in the sketch.

$($b$)$ Determine the resultant forces acting in the $x$ direction on the specified area at sections A and $B$ and show these resultant forces in the sketch.

$($c$)$ Is the specified area in equilibrium with respect to forces acting in the $x$ direction? If not, determine the horizontal force required to satisfy equilibrium for the specified area and show the location and direction of this force in the sketch.