The simply supported beam 'A' of length '$$l$$' carries a central point load 'W'. Another beam 'B' is loaded with a uniformly distributed load such that the total load on the beam is 'W'. The ratio of maximum deflections between beams 'A' and 'B' is
A. $$\frac{5}{8}$$
B. $$\frac{8}{5}$$
C. $$\frac{5}{4}$$
D. $$\frac{4}{5}$$
Answer: Option B
This Question Belongs to Mechanical Engineering >> Strength Of Materials In ME
Def.max (A)= PL3/48EI;
Def.max (B)= 5wL4/384EI; w=P/L,
= 5PL3/384EI.
Ratio= (PL3)/48EI * 384EI/(5PL3) = 8/5.