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U1 and U2 are the strain energies stored in a prismatic bar due to axial tensile forces P1 and P2, respectively. The strain energy U stored in the same bar due to combined action of P1 and P2 will be
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- U = U1 + U2
- U = U1U2
- U < U1 + U2
- U > U1 + U2
Correct Option: D
| u1 = | .P1 × δl | 2 |
| = | × P1 × | |||
| 2 | AE |
| = | × | |||
| 2 | AE |
| u2 = | ||||
| 2 | AE |
| = | ||||
| 2 | AE |
| u = | ||||
| 2 | AE |
| = u1 + u2 + | ||||
| 2 | AE |
∴ u > u1 + u2