Question $1.(50\%)$

For the following structure:

a$)$ Calculate support reactions;

b$)$ Draw moment and shear diagrams;

c$)$ Calculate the vertical displacement of point $C.$ Consider the deformations due to bending in

member $AC$ and axial force in member $BD.$

$A_{BD}=1000m{m}^2$ and $I_{AC}=800{10}^{6}m{m}^4.$ E for all members is $200$GPa. Member $AC$ is continuous. Member

$BD$ is connected to point $B$ through a hinge.