Question

A cantilever beam of $l$ subjected to a uniformly distributed load ${}^{\prime }{w}^{\prime }$ per unit length resting on a rigid prop at the tip of cantilever. The magnitude of the reaction at the prop is:

• A. $\frac{1}{8}Wl$
• B. $\frac{2}{8}Wl$
• C. $\frac{3}{8}Wl$
• D. $\frac{4}{8}Wl$

Answer 1

The correct option is C $\frac{3}{8}Wl$



$\frac{w{l}^4}{8EI}=\frac{R{l}^3}{3EI}$ (By compatibility at the prop)

$R=\frac{3wl}{8}$