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