Question

For a block with Young's Modulus of its material being 210 GPa and its Poisson's Ratio being 0.25, when subjected to a stress system as shown in the figure, what is the magnitude of the stress $\sigma$ for no strain along AB?

• A. $30N/m{m}^2$
• B. $60N/m{m}^2$
• C. $120N/m{m}^2$
• D. $240N/m{m}^2$

Answer 1

The correct option is D $240N/m{m}^2$

For no strain along AB
${\epsilon }_{AB}=\frac{60}{E}-\frac{\mu \sigma }{E}=0$
$\Rightarrow \sigma =\frac{60}{\mu }=\frac{60}{0.25}=240N/m{m}^2$