The figure shows the assemblage of two square elements, elements 23 and 24 . The coordinates and displacements of all six nodes are given in the table below.

a. Consider point \(P\) given by the global coordinates \((2,1)\). Calculate the displacements \(u\) and \(v\) at this point. As this point belongs to both elements, one can calculate the displacements \(u\) and \(v\) at this point using the nodal displacements of either element 23 or element 24. Will they be same? Explain.

b. Repeat the above question

(a) including discussion for calculating the strain \(\varepsilon_{X X}\) at point \(P\).

Node 123456 y u V 024 02 4 02 4 00 0 22 2 0 0.1 0.30 0.2 0.4 0 0.05 0.20 0.5 0.2