Problem $2$

The cantilever beam shown in Figure $2\mathrm{.}1$ is subjected to linearly distributed loads.

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

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

forces 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 $0xL,$ where $L$ is the length of the beam.

b$)$ Plot $V(x)$ and $M(x)$ using the numerical values of load and distance given in the figure. For

plotting, use your preferred software $($Matlab$,$ Excel, etc$).$ Note that you will lose points if

you submit hand$-$drawn plots.

Figure $2\mathrm{.}1$: Cantilever beam with linearly distributed loads