Problem $1(20$ points$)$

The following composite structure consists of two beams connected at a hinge joint B$.$

Solve the following problems

i$)$ Draw the free$-$body diagrams of beam $AB$ and $BE$;

ii$)$ Find the reactions at A$,$ C$,$ E$,$ and the internal force at joint B;

iii$)$ Draw the shear force diagram $[$V$]$ of A$-$B$-$E;

iv$)$ Draw the bending moment diagram $M$ of A$-$B$-$E$.$

$(2$ points$)$

$(8$ points$)$

$(6$ points$)$

$(4$ points$)$