Problem $2(30$ points, $15$ pts$.$ each part$).$

A$)$ Using the method of consistent deformations, write the compatibility equations necessary to solve this two degree indeterminate structure. Draw DIAGRAMS clearly indicating what each displacement term in your equations means, and what force$($s$)$ are applied to evaluate that particular displacement. NOTE: By use of diagrams and$/$or words, you must clearly describe what each displacement term means and what forces$($s$)$ is applied to evaluate that term. Include both bending and axial force components. Each member has E$,$ I, A$.$