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A steel cube, with all faces free to deform, has Young’s modulus, $E$, Poisson’s ratio, $ν$, and coefficient of thermal expansion, $\alpha$. The pressure (hydrostatic stress) developed within the cube, when it is subjected to a uniform increase in temperature, $\Delta T$, is given by

  1. $0 \\$
  2. $\dfrac{\alpha (\Delta T)E}{1-2V} \\$
  3. $-\dfrac{\alpha (\Delta T)E}{1-2V} \\$
  4. $\dfrac{\alpha (\Delta T)E}{3(1-2V)}$
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