03 Shape function for 3 noded bar element

Pubblicato il: 26 agosto 2025
sul canale di: Civil Softwares

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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.

🔗 Stay tuned for more FEM and civil engineering software tutorials on this channel.

👉 Don’t forget to like, share, and subscribe to Civil Softwares for more educational content!

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