A cantilever beam of length, $\text{L}$, and flexural rigidity, $\text{EI}$, is subjected to an end moment, $\text{M}$, as shown in the figure. The deflection of the beam at $x=\frac{L}{2}$ is
- $\frac{ML^{2}}{2EI}$
- $\frac{ML^{2}}{4EI}$
- $\frac{ML^{2}}{8EI}$
- $\frac{ML^{2}}{16EI}$