Determine the slope $(\backslash$theta A$)$ at point A and the deflection $(\backslash$Delta C$)$ at point C in terms of EI$.$ Assume the support at A is a pin and B is a roller. EI is constant. Use whatever method you wish.Hints if you plan to use Moment$-$Area Method.

Theorem $1$: The angle between the tangents at any two points on the

elastic curve equals the area under the M$/$EI diagram between these

two points.

Theorem $2$: The vertical distance between the tangent at a point $(A)$ on

the elastic curve and the tangent extended from another point $(B)$ equals

the moment of the area under the M$/$EI diagram between these two points

and $B.$ This moment is calculated about the point $(A)$ where the

vertical distance $(t_{\frac{A}{B}})$ is to be determined.