Question

In a simply supported beam of length 6 m, a uniformly distributed load of 10 kN/m is applied. What is the maximum bending moment?

• A. 60 kN-m
• B. 45 kN-m
• C. 90 kN-m
• D. 120 kN-m

Hint:

For UDL on simply supported beams, maximum bending moment always occurs at the midpoint.

Answer 1

The Correct Option is B

Step 1: Identify the formula 
For a simply supported beam with uniformly distributed load (UDL), maximum bending moment occurs at the center and is given by: $M = \frac{wL^2}{8}$. 
Here, $w = 10$ kN/m, $L = 6$ m. 
Step 2: Substitute values 
$M = \frac{10 \times 6^2}{8}$. 
Step 3: Calculate 
$\Rightarrow M = \frac{10 \times 36}{8}$. 
$\Rightarrow M = \frac{360}{8} = 45$ kN-m.