A simply supported beam 'A' of length l, breadth b, and depth d carries a central point load W. Another beam 'B' has the same length and depth but its breadth is doubled. The deflection of beam 'B' will be __________ as compared to beam 'A'.
A. One-fourth
B. One-half
C. Double
D. Four times
Answer: Option B
This Question Belongs to Mechanical Engineering >> Strength Of Materials In ME
Deflection for SSB at central point load=wl^3/48Ei and deflection is inversely proportional to I(bd^3/12).
Hence deflection is also inversely proportional to breadth.
Db/Da = Ba/Bb.
= 1/2.