Question

A cantilever of length L carries a gradually (linearly)varying load from zero at its free end to w per unit length at the fixed end. The product of deflection and flexural rigidity at the free end is

• A. $\frac{wL^3}{24}$
• B. $\frac{wL^3}{30}$
• C. $\frac{wL^4}{30}$
• D. $\frac{wL^4}{24}$

Answer 1

Answer:

C. $\frac{wL^4}{30}$

A cantilever beam of length L carrying gradually varying load from zero at free end to w per unit length at the fixed end has deflection at the tip given by $δ = \frac {WL^4}{30EI}$ The product of deflection and flexural rigidity at the free end is $\delta EI =\frac {WL^4}{30}$