Question

In a cantilever of span L subjected to a concentrated load of W acting at a distance of $\frac{L}{3}$ from the free end, the deflection under load will be

• A. $\frac{W{L}^3}{3EI}$
• B. $\frac{W{L}^3}{81EI}$
• C. $\frac{14W{L}^3}{81EI}$
• D. $\frac{8W{L}^3}{81EI}$

Answer 1

The correct option is D $\frac{8W{L}^3}{81EI}$

Deflection under the load,

$=\frac{W\times (2L/3{)}^3}{3EI}=\frac{8W{L}^3}{81EI}$