Automata

1.4 Consider a linear triangular element with global coordinates of the three nodes given as (0.125, 0), (0.25, 0), and (0.25, 0.15). Determine the area of the triangle and the expressions for the shape functions. If the nodal values for this element are estimated as i ¼ 0:002, j ¼ 0:0025, and j ¼ 0:0031, then determine the value of  at the point (0.22, 0.125).

2.Evaluate the following integrals using the natural coordinate system for the linear triangular element: (a) Ð A N2 k dA and (b) Ð A NjNk dA.

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