solve Figure Q$1$ shows an isoparametric three node constant strain triangular finite element which

was used in a plane stress analysis problem of a flat plate. The resultant nodal displacement

vector for the element is also shown together with the initial global coordinates of the nodes.

The plate material has the following properties: $E=210$GPa,$v=0\mathrm{.}27$ and ${}_y=250$MPa.

$\{U_e\}=1{10}^{-6}\{[0],[0],[2],[0],[1],[-1]\}m$

Figure Q$1$

Q $1($a$)$

Determine the values of the natural coordinates $$ and $$ at a point $P$ on the element, where $P$

has the local element coordinates $P(10,10).$