Question

A bar of length L and cross section A is subjected to axial forces P at ends. The energy stored in the bar will be.

• A. $$\frac{P^2L}{2AE}$$
• B. $$\frac{P^2L^3}{2AE}$$
• C. $$\frac{P^2L^2}{2AE}$$
• D. $$\frac{PL^3}{2AE}$$

Answer 1

Answer:

$$\frac{P^2L}{2AE}$$

The energy stored in a bar of length L and cross section A subjected to axial forces P at ends is given by the formula $\frac{P^2L}{2AE}$ . This is the strain energy stored in the bar due to elastic deformation. For a given L, A, and E, the strain energy is proportional to $P^2$.