Question

Consider the following statements:
In the beam shown in the given figure, for all positions of load W (except x = 0)

Which of these statements are correct?

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

Answer 1

The correct option is B 1, 3 and 4

The propped cantilever beam shown in the figure will have zero deflection at points A and B. The slope will be zero at end B.

The bending moment will be zero at point A. The bending moment diagram of beam can be obtained by superimposing free moment diagram with fixed end moment diagram on the beam end B. Free moment under the load
$M=\frac{W\times (L-x)}{L}.$

It is clear that maximum bending moment occurs at support B.

$\text{Moment under the load in the beam}=\frac{M}{4}$

$\text{Moment at support}B=\frac{3}{2}M$