Question

Due to some point load anywhere on a fixed beam, the maximum free bending moment is M. The sum of fixed end moments is

• A. 3.0 M
• B. 1.5 M
• C. 2.0 M
• D. M

Answer 1

The correct option is D M

Due to point load, the free bending moment diagram will be triangle.

The fixed end moment $M_1\text{and}{M}_2$ can be imposed on it. As the slope at the ends of fixed beam is zero. So the area of total B.M.D. (fixed end moment + free moment) will be zero.

$\left(\frac{M_1+M_2}{2}\right)L-\frac{1}{2}ML=0$

$\therefore M_1+M_2=M$