Multiple choice

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

  1. $\frac{\alpha (\triangle T)E}{(1 - 2u)}$
  2. $\frac{2\alpha (\triangle T)E}{(1 - 2u)}$
  3. $\frac{3\alpha (\triangle T)E}{(1 - 2u)}$
  4. $\frac{\alpha (\triangle T)E}{3(1 - 2u)}$
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