In the given figure, member $AB$ and $CE$ are beam members with $EI={10}^{+}kN{m}^2.$ Member $DB$ is a truss member with $EA={10}^{4}kN.$ Beam members are assumed to be axially rigid.

a$)$ Find all support reactions.

b$)$ Find the displacements at $D.$

c$)$ Determine the member local end forces and plot the axial force, shear force and moment diagrams.