Question

If a cantilever beam of span L and flexural rigidity EI carries a moment M at the free end, the deflection at the end is

• A. $\frac{ML}{24EI}$
• B. $\frac{M{L}^2}{12EI}$
• C. $\frac{ML}{6EI}$
• D. $\frac{M{L}^2}{2EI}$

Answer 1

The correct option is D $\frac{M{L}^2}{2EI}$



BMD is given by


Using moment area method

${\Delta }_{B/A}=\frac{1}{2}\frac{ML}{EI}\times L$

${\Delta }_{B/A}=\frac{M{L}^2}{2EI}$