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 __________

Question

TuteeHUB · Accepted Answer

(σ₁² + σ₂² + 2σ₁σ₂ )  / 2E

TuteeHUB · Answer

(σ₁² + σ₂² – 2σ₁σ₂ ) / 2E

TuteeHUB · Answer

(σ₁² - σ₂² – 2σ₁σ₂ )  / 2E

TuteeHUB · Answer

(σ₁² - σ₂² + 2σ₁σ₂) / 2E

1.	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.	(σ₁² - σ₂² + 2σ₁σ₂) / 2E
Answer» B. (σ₁² + σ₂² + 2σ₁σ₂ ) / 2E

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 __________

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