Question

As compared to uniaxial tension or compression, the strain energy stored in bending is only

• A. \( \frac{1}{8} \)
• B. \( \frac{1}{4} \)
• C. \( \frac{1}{3} \)
• D. \( \frac{1}{2} \)

Hint:

- Strain energy in bending is always less than that in direct tension/compression.

Answer 1

The Correct Option is B

Step 1: Understanding strain energy in bending. - In uniaxial tension or compression, strain energy density is given by: \[ U = \frac{\sigma^2}{2E} \] - In bending, strain energy is stored in the bending moment. Step 2: Applying the energy relation. - Strain energy stored in bending is one-fourth of that stored in uniaxial tension. Step 3: Selecting the correct option. Since the strain energy stored in bending is \( \frac{1}{4} \) of that in uniaxial tension, the correct answer is (B).