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Mechanical and structural analysis miscellaneous

Mechanics and Structural Analysis

  1. 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
    1. U = U1 + U2
    2. U = U1U2
    3. U < U1 + U2
    4. U > U1 + U2
Correct Option: D

u1 =
1
.P1 × δl
2

=
1
× P1 ×
P1 × l
2AE

=
1
×
P12L
2AE

u2 =
1
P22L
2AE

=
1
(P12 + P22)L
2AE

u =
1
(P12 + P22 + 2P1P2)L
2AE

= u1 + u2 +
1
2P1P2L
2AE

∴ u > u1 + u2



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