Question

A cantilever beam of length $L$, with uniform cross-section and flexural rigidity $EI$, is loaded uniformly by a vertical load, $w$ per unit length. The maximum vertical deflection of the beam is given by

• A. $\frac{w{L}^4}{8EI}$
• B. $\frac{w{L}^4}{16EI}$
• C. $\frac{w{L}^4}{4EI}$
• D. $\frac{w{L}^4}{24EI}$

Answer 1

The correct option is A $\frac{w{L}^4}{8EI}$


$y=\frac{w{x}^2}{24EI}(x^2+6L^2-4Lx)$
$and{\delta }_{max}=\frac{w{L}^4}{8EI}$