Derive the finite element formulation-galerkin method, Mechanical Engineering

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Derive the finite element formulation  for a tapered bar element using Galerkin's method.                                                

768_finite element.png

1- Start with.

2- Use and as shape functions.

3- Proceed in the same way as with regular bar element.

4- A (cross section) is not constant.

5- Use integration by parts before differentiating for u.


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