Q$4)(40$ points$)$ In the given statically determinate structure, continuous frame members ABC and DBE are externally pin connected to each other at B; members EF$,$ EG$,$ CE$,$ and DBE are all pin connected at E; members ABC and $CE$ are pin connected at $C.$ Answer the following questions for the structure:

a$)$ Calculate the axial force in member CE$.$

b$)$ Calculate the support reactions at A and $D.$

c$)$ Plot the axial force, shear force, and bending moment diagrams. Clearly show your sign convention and local axes for the plots.