Question

Two-dimensional stress system on a block made of a material with Poisson's ratio of 0.3 is shown in the figure


The limiting magnitude of the stress so as to result in no change in length AB of the block is

• A. $60N/m{m}^2$
• B. $120N/m{m}^2$
• C. $200N/m{m}^2$
• D. $240N/m{m}^2$

Answer 1

The correct option is C $200N/m{m}^2$

For no change in length
${\epsilon }_L=0$
i.e., $\frac{{\sigma }_x}{E}-\mu \frac{{\sigma }_y}{E}=0$
${\sigma }_y=\frac{{\sigma }_x}{\mu }=\frac{60}{0.3}=200MPa$
So, option (c) is correct.