Question

Strain energy stored in cantilever beam loaded as shown will be

• A. $$\frac{P^2L^3}{3EI}$$
• B. $$\frac{P^2L^3}{6EI}$$
• C. $$\frac{P^2L^3}{2EI}$$
• D. $$\frac{P^2L^3}{4EI}$$

Answer 1

Answer:

$$\frac{P^2L^3}{6EI}$$

The strain energy stored in a cantilever beam loaded as shown can be calculated using the formula $U =\frac{P^2L^3}{6EI}$. This is obtained by integrating the square of the bending moment over the length of the beam and applying the formula for strain energy.