Question

For a simply supported beam of length L with a triangular load that varies gradually (linearly) from zero at both ends to w per unit length at the centre, the maximum bending moment is

• A. $$WL^2$$
• B. $$\frac{WL}{6}$$
• C. $$\frac{WL^2}{6}$$
• D. $$\frac{WL^2}{12}$$

Answer 1

Answer:

$$\frac{WL^2}{12}$$

For a simply supported beam of length L with a triangular load that varies gradually (linearly) from zero at both ends to w per unit length at the centre, the maximum bending moment is $\frac {wL^2}{12}$