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. $${\left( {\frac{{\text{L}}}{{3{\text{d}}}}} \right)^2}$$
Answer: Option C

Deflection= wl*3/48EI, I = bd3/12
elongation = wl/AE , A= b * d
ratio of both = (l/2d)*2