(Solved): For the statically indeterminate beam \( \mathrm{ABC} \) shown in Figure Q1a, determine reactions ...

For the statically indeterminate beam \( \mathrm{ABC} \) shown in Figure Q1a, determine reactions at all supports whenever support B is settled by \( 200 / E I \) in downward direction. (1) Use the Stiffness Method (2) Then, verify the answer using the Flexibility Method Continue the analysis by including the shear force and bending moment diagrams. Highlighting all the salient point. \[ \begin{array}{r} \text { (CO1:PO1, CO2:PO2) } \\ 100 \text { marks } \end{array} \] Figure Q1a Figure Q1b: Beam element in the global coordinate system \[ \mathbf{k}=\left[\begin{array}{cccc} +\frac{12 E I}{L^{3}} & +\frac{6 E I}{L^{2}} & -\frac{12 E I}{L^{3}} & +\frac{6 E I}{L^{2}} \\ +\frac{6 E I}{L^{2}} & +\frac{4 E I}{L} & -\frac{6 E I}{L^{2}} & +\frac{2 E I}{L} \\ -\frac{12 E I}{L^{3}} & -\frac{6 E I}{L^{2}} & +\frac{12 E I}{L^{3}} & -\frac{6 E I}{L^{2}} \\ +\frac{6 E I}{L^{2}} & +\frac{2 E I}{L} & -\frac{6 E I}{L^{2}} & +\frac{4 E I}{L} \end{array}\right] \]