The figure shows a propped cantilever with uniform flexural rigidity $E I$ (in $\mathrm{N} . \mathrm{m}^{2}$ ) and subjected to a moment $M$ (in $\mathrm{N.m}$). Consider forces and displacements in the upward direction as positive.
Find the upward reaction at the propped support $B$ (in $\mathrm{N}$ ) when this support settles by $(-\Delta)$, given in metres.
- $\frac{3 M}{2 L}-\frac{6 E I \Delta}{L^{3}}$
- $\frac{8 M}{3 L}-\frac{2 E I \Delta}{L^{3}}$
- $\frac{3 M}{2 L}-\frac{3 E I \Delta}{L^{3}}$
- $\frac{M}{L}-\frac{8 E I \Delta}{L^{3}}$
