Question

A cantilever has rectangular cross-section and supports concentrated load at its free end initially. If depth and width of the beam sections are doubled, the deflection, at free end of the cantilever will reduce to what percentage of the initial deflection ?

A. 20% B. 15.72% C. 9.37% D. 6.25%

Answer 1

D  6.25 %

deflection of the bend at the free end is proportional to Length^3 and inversely proportional to breadth or width and depth^3.

So final deflection will be come 1/16 of initial, if width is doubled and depth is doubled.  that is = 0.0625 or 6.25 %

Answer 2

Answer:

D  6.25 %

deflection of the bend at the free end is proportional to Length^3 and inversely proportional to breadth or width and depth^3.

So final deflection will be come 1/16 of initial, if width is doubled and depth is doubled.  that is = 0.0625 or 6.25 %