Problem points$)$

The frame shown below is loaded by a vertical concentrated load of $40$ kips at point C $.E=29000$ksi and $I=610i{n}^2,$ for each member.

a$)$ Calculate degree of static indeterminacy $($DSI$).$

b$)$ By taking redundant or redundants at point E$,$ use the flexibility method to solve this structure by finding all the support reactions. Clearly indicate their directions.

c$)$ Draw the bending moment $($M$)$ diagrams for all members of the frame. Clearly indicate your sign conventions.

d$)$ Determine the amplitude and the direction of the vertical deflection in inches at point C$.$ Use the method of virtual work by considering bending deformations only.