$($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 $C,{}_C,$ and the horizontal displacement at point B$,{}_B.$

$($c$)[10$ points$]$ Moment$-$Area Method: Calculate ${}_B.$