Question

A simply supported beam of span length $6m$ and $75mm$ diameter carries a uniformly distributed load of $1.5kN/m$.

What is the maximum value of bending moment?

• A. 9kNm
• B. 13.5kNm
• C. 6.75kNm
• D. 125kNm

Answer 1

The correct option is C 6.75kNm

$R_A+R_B=9kN$
Taking moment about B, we get
$\therefore R_A\times 6=1.5\times 6\times 3$
$R_A=R_B=4.5kN$
$M_{max}=4.5x-1.5\frac{x^2}{2}[atx=3m]$
=6.75kNm