Question

Consider the following statements:
A cantilever beam of length L is loaded with uniformly distributed load 'W on the span. The beam is propped at the free end having its level same as that of the fixed end (EI is constant).
1, The prop reaction $\frac{wL}{2}$.

2. The prop reaction is $\frac{3}{8}wL$

3. The bending moment at the prop is $\frac{w{L}^2}{2}$

4. SF is zero at $x=\frac{3}{8}L$ from the propped end.

Which of these statemnt are correct?

• A. 1 and 3
• B. 2 and 3
• C. 1 and 4
• D. 2 and 4

Answer 1

The correct option is D 2 and 4



$Propreaction=\frac{3wL}{8}$

BM at prop is zero

The point of zero shear force will be at $\frac{5L}{8}$ from
fixed end and $\frac{3L}{8}$ from prop end.