A uniform cantilever beam ABC of length L is subjected to a point load P at point B and a concentrated moment M at point C (as shown in figure). Let E be the Young’s modulus of the beam material and / be the area moment of inertia of the beam’s cross-section. Assuming the validity of the Euler-Bernoulli theory of slender beams, the downward deflection at point C is

\(\frac{PL^3}{3EI}+\frac{ML^2}{2EI}\)

\(\frac{PL^3}{24EI}+\frac{ML^2}{EI}\)

\(\frac{PL^3}{48EI}+\frac{ML^2}{2EI}\)

\(\frac{5PL^3}{48EI}+\frac{ML^2}{2EI}\)

A uniform cantilever beam ABC of length L is subjected to a point load

1.	A uniform cantilever beam ABC of length L is subjected to a point load P at point B and a concentrated moment M at point C (as shown in figure). Let E be the Young’s modulus of the beam material and / be the area moment of inertia of the beam’s cross-section. Assuming the validity of the Euler-Bernoulli theory of slender beams, the downward deflection at point C is
A.	\(\frac{PL^3}{3EI}+\frac{ML^2}{2EI}\)
B.	\(\frac{PL^3}{24EI}+\frac{ML^2}{EI}\)
C.	\(\frac{PL^3}{48EI}+\frac{ML^2}{2EI}\)
D.	\(\frac{5PL^3}{48EI}+\frac{ML^2}{2EI}\)
Answer» E.

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