The coordinate of the nodes and corresponding displacements in a triangular element are given in the table. Calculate the displacement \(u\) and \(v\) and strains \(\varepsilon_{x x}, \varepsilon_{y y}\), and \(\gamma_{x y}\) at the centroid of the element given by the coordinates \((1 / 3,1 / 3)\)

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Node x (m) y (m) u (m) v (m) 1 0 00 0 2 1 0 0.1 0.2 3 0 10 0.1