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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

  1. $\frac{ML^{2}}{2EI}$
  2. $\frac{ML^{2}}{4EI}$
  3. $\frac{ML^{2}}{8EI}$
  4. $\frac{ML^{2}}{16EI}$
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