Question

What is the area of influence line diagram for the reaction at the hinged end of a uniform propped cantilever beam of span L?

• A. $\frac{L}{4}$
• B. $\frac{3L}{8}$
• C. $\frac{L}{2}$
• D. $\frac{L}{8}$

Answer 1

The correct option is A $\frac{L}{4}$

If structure is given unit displacement at pinned support then there will be vertical reaction at pinned support.



Bending moment diagram is linear for the span.

$\text{Now,}\frac{d^{2}y}{d{x}^2}=M$

So deflected shape is cubic parabola.