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

Q. 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 I 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

Ans: Option D

Sol:

Now, the deflection at C = deflection at C due to load P + deflection at C due to moment M ⇒ deflection at B due to load P + slope at B due to load P × length between B and C + deflection at C due to moment M