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Civil Engineering : Strength of Materials - Quiz(MCQ)
A material of youngs modulus and Poissons ratio of unity is subjected to two principal stresses σ1 and σ2 at a point in two dimensional stress system. The strain energy per unit volume of the material is ________
A)
(σ₁² – σ₂² – 2σ₁σ₂ ) / 2E
B)
(σ₁² + σ₂² – 2σ₁σ₂ ) / 2E
C)
(σ₁² + σ₂² + 2σ₁σ₂ ) / 2E
D)
None of the above

Correct Answer :   (σ₁² + σ₂² – 2σ₁σ₂ ) / 2E


Explanation : Strain energy = (σ₁ε₁+ σ₁ε₁ ) / 2E

= (σ₁² + σâ‚‚² – 2σ₁σâ‚‚ ) / 2E.

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