A cantilever beam of rectangular cross section is subjected to load at free end. If the depth of the beam is double and load is halved, deflection of the free end as compared to original will be
- A. 1/2
- B. 1/8
- C. 2
- D. 1/16
Answer: D. 1/16
Explanation: Deflection $\delta \propto P/I \propto P/d³$. New deflection $\propto (P/2)/(2d)^3 = (P/2)/8d^3 = \frac{1}{16} (P/d³)$.