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Mechanical Engineering : Machine Design - Quiz(MCQ)
In distortion energy theorem, if a unit cube is subjected to biaxial stress, then S(yt) is given by which of the following?
A)
σ₁²+ σ₁σ₂ +σ₂²
B)
σ₁²- σ₁σ₂ +σ₂²
C)
√ (σ₁²+ σ₁σ₂ +σ₂²)
D)
√ (σ₁²- σ₁σ₂ +σ₂²)

Correct Answer : Option (D) :   √ (σ₁²- σ₁σ₂ +σ₂²)


Explanation : S(yt)=√[(σ₁ -σâ‚‚)²+(σâ‚‚ -σ₃)²+(σ₃ -σ₁)²]/2, for σ₃=0; expression a is obtained.

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