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

Question

Multiple choice

Reveal answer Fill a bubble to check yourself

Answer 1

$\frac{\alpha (\triangle T) E}{1-2v}$

Answer 2

$-\frac{\alpha (\triangle T) E}{1-2v}$

Answer 3

$\frac{\alpha (\triangle T) E}{3(1-2v)}$

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