# If N3 is dependent shape function, It is represented as ____

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If N3 is dependent shape function, It is represented as ____

(a) N3=ξ

(b) N3=1-ξ

(c) N3=1-η

(d) N3=1-ξ-η

I had been asked this question in my homework.

This interesting question is from Two Dimensional Problems topic in chapter Two Dimensional Problems using Constant Strain Triangles of Finite Element Method

## 1 Answer

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The correct option is (d) N3=1-ξ-η

Easy explanation: The shape function is a function which interpolates the solution between the discrete values obtained at the mesh nodes. N1, N2, N3 are not linearly independent only one of two of these are independent.

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