Problem $1.$

The following structure has all member properties $\backslash (\backslash$mathrm$\{$E$\},\backslash$mathrm$\{$A$\},\backslash$mathrm$\{$I$\}.\backslash$mathrm$\{$AB$\}\backslash )$ is a beam and CD is a truss member.

A$)$ Using the method of consistent deformations $($force method$),$ write the compatibility equation$($s$)$ necessary to solve the structure. Draw DIAGRAMS clearly indicating what each displacement term in your equation$($s$)$ means, and what force$($s$)$ are applied to evaluate that particular displacement. NOTE: By the use of diagrams and$/$or words, you must clearly describe what each displacement term means and what force$($s$)$ is applied to evaluate that term $(10$ points$).$

B$)$ Assume to solve the structure below using the method of consistent deformations, you have removed the

ability of support A to carry moment and support B to carry axial force. You have then wrote compatibility

equations based on this approach. In one of your equations there is a term DeltaB$\_($A$),$ the displacement of joint B

due to the moment at A$.$ Compute the value of this term, including both bending and axial components if

present $(15$ points$).$