For the beam $AE$ as shown in the figure below:

$(5$ points$)$ Determine the support reactions

$(10$ points$)$ Following the graphical method as explained in the examples of $5\mathrm{.}5$ of your textbook, draw the shear force $V(x)$ diagram. Hint: refer to Table $5\mathrm{.}1$ of textbook.

$(10$ points$)$ Following the graphical method as explained in the examples of $5\mathrm{.}5-$ of your textbook, draw the bending moment $M(x)$ diagram. Hint: refer to Table $5\mathrm{.}1$ of textbook.

$(5$ points$)$ Locate on the diagrams the maximum shear force and bending moment, and provide their values.

$(10$ points$)$ Determine the location of the Neutral Axis $($NA$)$ and the second moment of inertia

$(10$ points$)$ Determine the maximum flexural stress in the beam.

$(10$ points$)$ Deternine the flexural stress distribution on the cross section at point $C$

$(10$ points$)$ Make a two$-$dimensional sketch of the flexural stress distribution at point C $$

$(10$ points$)$ determine the total compressive force at cross section of point C