Question

The strain energy stored in a body due to suddenly applied load compared to when it is applied gradually is

• A. Same
• B. Twice
• C. Half
• D. Four Times

Answer 1

Answer:

D. Four Times

The strain energy stored in a body due to suddenly applied load is four times compared to when it is applied gradually. This is because the stress in sudden loading is twice that of gradual loading, and strain energy is proportional to the square of stress. Therefore, the ratio of strain energy in sudden loading to gradual loading is $\frac{U_{sudden}}{ U_{gradual}} = \frac{4\sigma ^ 2 V}{2E}\times \frac{2E}{\sigma ^ 2 V} = 4$