Question $2$

In Figure $2,$ for the beam and loading shown:

$($a$)$ Determine the reaction forces at support A and $C[6\%]$;

$($b$)$ Determine the equation of the elastic curve $[20\%]$;

$($c$)$ Determine the deflection at point $B[8\%]$;

$($d$)$ Determine the slope at point $C[8\%]$;

$($e$)$ Determine the deflection at point $D[8\%].$