Question

For a simply supported beam of length L, subjected to a uniformly distributed moment $MkN-m$ per unit length as shown in the fig., the bending moment (in $kN-m$) at the mid-span of the beam is

• A. Zero
• B. M
• C. ML
• D. M/L

Answer 1

The correct option is A Zero

Taking moment about A,
$\sum M_A=0$


$M.L-R_B\times L=0$

$\Rightarrow R_B=M$

$R_A=M$

Bending moment at mid span,

$M=R_A\times \frac{L}{2}+M.\frac{L}{2}$

$=-\frac{ML}{2}+\frac{ML}{2}=0$