Q$2($a$)$ The frame structure depicted in Figure $1$ has a beam stiffness of $EI=4100kN{m}^2.$ Determine the support reactions of the structure and the slope at B$.$

$[18]$

$($b$)$ Draw the bending diagram

$[8]$

$($c$)$ Sketch the displacements.

$[7]$

Figure $1$ Note that dimensions are in meters.M