Multiple choice

For linear elastic systems, the type of displacement function for the strain energy is

  1. linear

  2. quadratic

  3. cubic

  4. quartic
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

 $\text{For linear elastic system,}\\ \text{strain energy} E = \frac{1}{2} P \times \triangle = \frac{1}{2} \times P \times \frac{P.L}{AE} = \frac{1}{2}\frac{P^2L}{AE} = \frac{1}{2}E \epsilon ^2\\ E \propto \epsilon^2 \text{which represents quadratic equation.}$

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