Question

A fixed beam is subjected to moment $M_0$ as shown in the figure below. The fixed end moments will be

• A. $\text{Zero}$
• B. $M_0$
• C. $\frac{M_0}{2}$
• D. $2M_0$

Answer 1

The correct option is C $\frac{M_0}{2}$

The free moment diagram of the beam is

Fixed end moment diagram

Superimposing fixed end moment diagram and considering the fact that slopes at both end of the beam is zero.

Area under fixed moment diagram = Area under free moment diagram

$M_{1}L=M_o\frac{L}{2}$
$\therefore M_1=\frac{M_o}{2}$
$\text{So the fixed end moments will be}\frac{M_0}{2}$