$[1]$Draw the V$($x$)$ and M$($x$)$ diagrams and label all functions. Assume that there are x$1$ and x$2$ coordinates originating at A and B$,$ respectively.

$[2]$Sketch the deformed shaped based on the M$($x$)$ diagram, support conditions, and other constraints.

$[3]$Determine the slope at any point x along the beam using the double integration method$\mathrm{.}8\mathrm{.}10$d

$[4]$Determine the displacement at any point x along the beam using the double integration method.

$[5]$Calculate the slope and the displacement of the beam at B based on your outcomes of the double integration method. Assume Esteel $=29$x$10^3$ ksi and I $=500$ in$^4.$

$[6]$ Calculate the slope and the displacement of the beam at C based on your outcomes of the double integration method. Assume Esteel $=29$x$10^3$ ksi and I $=500$ in$^4.$

$[7]$ Indicate on your sketch of the deformed shape the extent of all calculated deformations $($i$.$e$.,$ specific rotational and translation values$).$