Consider a simply supported beam with a span ‘L’ carrying a uniformly varying load from zero at end ‘A’ to ‘w’ per meter length at end ‘B’. The maximum bending moment in this beam will occur at a distance of _______________ from the end ‘A’.

A

$$\frac{L}{2}$$

B

$$\frac{L}{\sqrt{3}}$$

C

$$\frac{2L}{3}$$

D

$$\frac{\sqrt{3}L}{2}$$