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A cube having each side of length ‘a’ is constrained in all directions and is heated uniformly so that the temperature is raised to T°C. If α is the thermal coefficient of expansion of the cube material and E is the modulus of elasticity, the stress developed in the cube is
  • a)
    α TE/v
  • b)
    α TE/(1-2v)
  • c)
    α TE/2v
  • d)
    α TE/(1 + 2v)
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A cube having each side of length ‘a’ is constrained in al...
For hydrostatic state stress = 0
σx = σy = σz = 0

σ = EαT/1-2μ
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Most Upvoted Answer
A cube having each side of length ‘a’ is constrained in al...
L has a volume given by the formula V = L^3.
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A cube having each side of length ‘a’ is constrained in all directions and is heated uniformly so that the temperature is raised to T°C. If α is the thermal coefficient of expansion of the cube material and E is the modulus of elasticity, the stress developed in the cube isa)α TE/vb)α TE/(1-2v)c)α TE/2vd)α TE/(1 + 2v)Correct answer is option 'B'. Can you explain this answer?
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