Question

If the strain energy absorbed in a cantilever beam in bending under its own weight is Ktimes greater than the strain energy absorbed in an identical simply supported beam in bending under its own weight, then the magnitude of K is

• A. 2
• B. 4
• C. 6
• D. 8

Answer 1

The correct option is C 6

For simply supported beam strain energy,

$E_1=\frac{W^2{L}^3}{240EI}$

For cantilever beam strain energy,
$E_2=\frac{W^2{L}^3}{40EI}$

$\therefore \frac{E_2}{E_1}=6$