Problem $1(10$ points$).$

The $($A$-$B$-$C$-$D$-$E$-$F$)$ beam of Figure $2$ is supported with a roller at point $F$ and a fixed support at point $A.$ At

point $C$ there is an internal hinge. The loading is shown clearly in the figure. Assume the self$-$weight of the

structure is negligible and do the following:

i$.$ draw the shear force diagram $[$V$]$ of the structure; $(5$ points$)$

ii$.$ draw the bending moment diagram $M$ of the structure. Show clearly the location of the point$/$s at

which $M(x)$ reaches a $($local or global$)$ min. or max. and the corresponding values of $M(x)$ at these

points. $(5$ points$)$