Consider the beam shown below:

$($a$)(3$ points$)$ Draw the complete shear diagram

$($b$)(3$ points$)$ Draw the complete moment diagram

$($c$)(3$ points$)$ Fnd the maximum compressive normal stress

$($d$)(3$ points$)$ Find the maximum tensile normal stress

$($e$)(3$ points$)$ Find the maximum shearing stress

Give the values and locations for all quantities along the beam and on the cross section.

NOTE: The centroid is given, $\frac{?}{\text{b}\text{a}\text{r}}(y)=0\mathrm{.}449m$ from the bottom of the beam and the moment of inertia

is $I=2\mathrm{.}571{10}^{-3}{m}^4.$ The reactions have been calculated as: vertical reaction at $A,R_A=3\mathrm{.}5kN$ up$,$

vertical reaction at $F,R_F=2\mathrm{.}5kN$ up and the reactive moment at support $F,M_F=5kN-m$ counter$-$

clockwise. Clearly label all significant quantities in your shear and moment diagrams.