QUESTION $2$

In the beam ABC shown in Fig. below the support at $B$ settles by $10$ mm when the loads are applied. If the second moment of area of the spans AB and BC are $83\mathrm{.}4{10}^{6}m{m}^4$ and $125\mathrm{.}1{10}^{6}m{m}^4,$ respectively, and Young's modulus, $E,$ of the material of the beam is $207000\frac{N}{m}{m}^2,$ calculate the support reactions using the Slope$-$Deflection method