A uniform Euler–Bernoulli cantilever has length L and flexural rigidity EI. Force F acts at 2L/3 from its fixed end as shown. Find free-end static deflection magnitude.
For a point load at distance a from the fixed end, load-point displacement is $Fa^3/(3EI)$ and slope is $Fa^2/(2EI)$. The unloaded remaining segment adds slope × (L−a), giving $\delta_L=Fa^2(3L-a)/(6EI)$. Set a = 2L/3 to obtain **14FL³/(81EI), B**.
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