Question

A uniformly distributed load of length 8 m crosses a simply supported girder of span 20 m. The maximum bending moment at the left quarter-span point occurs when the distance between the point of CG of the total load and mid-span is

• A. 2 m
• B. 3 m
• C. 4 m
• D. 0

Answer 1

The correct option is B 3 m



The maximum bending moment at C will occur when the section divides the load in the same ratio as at divides the span

$\therefore \frac{x}{5}=\frac{8-x}{15}$

$\Rightarrow 3x=8-x$

$\Rightarrow x=2m$

Distance between point of CG of total load and mid-span is

$\Rightarrow 10-3-4=3m$