A simply supported beam carries varying load from zero at one end and w at the other end. If the length of the beam is a, the maximum bending moment will be
A
$$\frac{{{\text{wa}}}}{{27}}$$
B
$$\frac{{{\text{w}}{{\text{a}}^2}}}{{27}}$$
C
$$\frac{{{{\text{w}}^2}{\text{a}}}}{{\sqrt {27} }}$$
D
$$\frac{{{\text{w}}{{\text{a}}^2}}}{{9\sqrt 3 }}$$
Correct Answer: $$\frac{{{\text{w}}{{\text{a}}^2}}}{{9\sqrt 3 }}$$