Question

A steel cube, with all faces free to deform, has Young's modulus E, Poisson's ratio $\nu$, 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

• A. 0
• B. $\frac{\alpha \left(\Delta T\right)E}{1-2v}$
  
• C. $-\frac{\alpha \left(\Delta T\right)E}{1-2v}$
  
• D. $-\frac{\alpha \left(\Delta T\right)E}{3(1-2v)}$
  

Answer 1

The correct option is A 0

As all forces are free to deform, there is no thermal stress.