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Derive the shape function for a linear quadrilateral element and show its variation over the element.

shape function

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Shape function for Quadratic Element

quadratic element

The element has 3 nodes.

Pilot function will be ϕ=Aˉx[ˉxhe2][ˉxhe]   ....(1)

For node 1, ˉx vanishes.

$ \therefore \phi_1 = A \left[ \bar x - \frac{h_e}{2} \right] …

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