A cantilever beam of length $L$ is subjected to a moment $M$ at the free end. The moment of inertia of the beam cross section about the neutral axis is $I$ and the Young's modulus is $E$. The magnitude of the maximum deflection is
(A) $\frac{M L^{2}}{2 E I}$
(B) $\frac{M L^{2}}{E I}$
(C) $\frac{2 M L^{2}}{E I}$
(D) $\frac{4 M L^{2}}{E I}$

Question ID - 157461 | SaraNextGen Top Answer

A cantilever beam of length $L$ is subjected to a moment $M$ at the free end. The moment of inertia of the beam cross section about the neutral axis is $I$ and the Young's modulus is $E$. The magnitude of the maximum deflection is
(A) $\frac{M L^{2}}{2 E I}$
(B) $\frac{M L^{2}}{E I}$
(C) $\frac{2 M L^{2}}{E I}$
(D) $\frac{4 M L^{2}}{E I}$