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A solid steel cube constrained on all six faces is heated so that the temperature rises uniformly by $\Delta T$. If the thermal coefficient of the material is $\alpha$, Young's modulus  is $E$ and the Poisson's ratio is $\upsilon$, the thermal stress developed in the cube due to heating is

  1. $-\dfrac{\alpha (\Delta T) E}{(1-2 \upsilon)} \\$
  2. $-\dfrac{2 \alpha (\Delta T) E}{(1-2 \upsilon)} \\$
  3. $-\dfrac{3 \alpha (\Delta T) E}{(1-2 \upsilon)} \\$
  4. $-\dfrac{\alpha (\Delta T) E}{3 (1-2 \upsilon)}$
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