FQuestion $5[8$ marks$]$ Moment Area Method Problem using M$\backslash$EI diagram.

Find the displacement at $C.$ Take $E=200$GPa and $I=50{10}^{-6}{m}^4$

Sectioning Method: $4$ marks; Step wise solving: $2$ marks; Correct slope deflection equation and result accuracy: $2$ marks

Formula Sheet:

$\frac{?}{\text{b}\text{a}\text{r}}(y)=\frac{A_1{y}_1+A_2{y}_2}{A_1+A_2},I=\frac{b{d}^3}{12}+A{y}^2$

${}_y=(\frac{-My}{\text{I}}),{}_{\text{m}\text{a}\text{x}}=(\frac{Mc}{\text{I}})$