Problem $1$

The composite beam $($note the internal hinge$)$ shown in Figure $1\mathrm{.}1$ is subjected to a distributed load

and a point load.

a$)$ Draw all necessary free$-$body diagrams using the method of sections and find symbolic

expressions for the internal shear force $(V(x))$ and bending moment $(M(x))$ due to the

external forces as functions of $x,$ where $x$ is a horizontal coordinate along the length of the

beam, measured from the most left support of the beam. Your expression$($s$)$ must allow to

obtain internal reactions for $LV(x)M(x)0,$ where $Lis$ the length $of$ the beam.

$b$