Problem $1$: Make the FBDS

The compound beam is externally supported by a roller at A and a fixed support at C and has an internal hinge at B$.$ The triangular distributed load increases from $0$ at point A to a value of $1\mathrm{.}5$ki$($p$)/($f$)$t at point B$.$ The beam itself weighs $84$l$($b$)/($f$)$t along it's length.

Determine the internal normal force, shear force, and bending moment at cross$-$sections passing through points D and E$.$ Point E is very slightly to the right of the $3$ kip load.

Answers $,$N$\_($D$)=0$;$,$V$\_($D$)=750$lb;$,$M$\_($D$)=15012$lb$*$ft;

N$\_($E$)=0$;$,$V$\_($E$)=-9840$lb;$,$M$\_($E$)=-26,688$lb$*$ft