Problem $2(50$ points$).$

Assume to solve the two$-$degree indeterminate structure below using the method of consistent deformations, you have removed the ability of support A to resist rotation and the ability of support D to resist vertical force. The structure has properties E$,$ I.

A$)$ Write the compatibility equation$($s$)$ based on this approach.

B$)$ Use separate diagrams to clearly indicate what each term in your equation$($s$)$ means. The diagrams must indicate $(1)$ what type of displacement the term refers to and where it is measured on the structure, and $(2)$ the support conditions and what loads are applied on the structure to solve for that term. You do not need to solve for any of the terms.