Finite Element Model of Euler-Bernoulli Beam Theory

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Ali Baig
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In the formulation of Euler-Bernoulli Beam Theory, there are two degrees of freedom at a point, w and dw/dx. Typically, the finite element model of this theory uses cubic polynomial for interpolation of $w$ using a two noded element as given in Chapter 5 of this book [1]. This element is a subparametric because the geometry is represented by low-order elements than those used to approximate the dependent variable. I need a reference where I can find the FE model for this problem using isoparametric elements. [1]: https://www.amazon.com/dp/0072466855/?tag=pfamazon01-20
 
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