Question $2$

For the plane strain element given in Figure $2,$ determine the following:

a$\backslash$sigma $\_($x$),\backslash$sigma $\_($y$),\backslash$tau $\_($xy$)$

b$\backslash$sigma $\_(1)$

c$\backslash$sigma $\_(2)$

d$\backslash$theta $\_($P$)$

The nodal displacements are as follows: u$\_(1)=0\mathrm{.}001$cm$,$v$\_(1)=0\mathrm{.}005$cm$,$u$\_(2)=0\mathrm{.}001$cm$,$v$\_(2)=$

$0\mathrm{.}25$cm$,$u$\_(3)=0\mathrm{.}0$cm$,$v$\_(3)=0\mathrm{.}0$cm

Let E$=210$ GPa and v$=0\mathrm{.}25$