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. $$\frac{{{\text{w}}{{\text{a}}^2}}}{{9\sqrt 3 }}$$
Answer: Option D

Wa²/9√3
WL2/9*SQRRT(3)
Correct answer is option B. Reaction at zero end load is wa/6 and at w end load is wa/3. If we calculate the SFD and BMD then answer will wa2/27.
Wa2/9√3