03 Shape function for 3 noded bar element
In this video from Civil Softwares, we derive the shape function for a 3-noded bar element step by step. Shape functions are fundamental in the Finite Element Method (FEM) as they define how displacements vary within an element. Understanding their derivation is essential for structural analysis and civil engineering applications.
📌 What you’ll learn in this video:
Basics of a 3-noded (quadratic) bar element
Step-by-step derivation of the shape functions
Explanation of interpolation and nodal displacement representation
How shape functions are applied in finite element formulations
This tutorial is designed for civil engineering students, FEM beginners, and anyone interested in structural analysis who wants a clear understanding of the mathematical foundation behind bar element shape functions.
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