A simply supported uniform rectangular bar breadth b, depth d and length L carries an isolated load W at its mid-span. The same bar experiences an extension e under same tensile load. The ratio of the maximum deflection to the elongation, is
A
$$\frac{{\text{L}}}{{\text{d}}}$$
B
$$\frac{{\text{L}}}{{2{\text{d}}}}$$
C
$${\left( {\frac{{\text{L}}}{{2{\text{d}}}}} \right)^2}$$
D
$${\left( {\frac{{\text{L}}}{{3{\text{d}}}}} \right)^2}$$
Correct Answer: $${\left( {\frac{{\text{L}}}{{2{\text{d}}}}} \right)^2}$$