Problem $2(40$ points$).$ For the given frame with $E=29,000$ksi and $I=60$ inch ${?}^4,$ answer the questions using Moment$-$Area Method:

$($a$)[10$ points$]$ Draw the curvature diagram of the frame.

$($b$)[20$ points$]$ Moment$-$Area Method: Draw the elastic curve and show the geometric relations to find the slope angle at point $A,{}_C,$ and the displacement at point $B,{}_B.$

$($c$)$ points$]$ Moment$-$Area Method: Calculate ${}_B.$