$4$ Figure $3$ details a simple beam $\backslash ((\backslash$mathrm$\{$AB$\})\backslash )$ arrangement with constant flexural rigidity $($EI$)$ subjected to a force $\backslash ($ P $\backslash )$ acting at a distance $($L$/4)$ from one end. Determine the deflection at the point where the load is applied.

Figure $3$: Simple beam $(2)$