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Derivation Of The Beam Stiffness Matrix

Nasser M. Abbasi

July 7, 2016   Compiled on June 29, 2025 at 3:54am
1 Introduction
2 Direct method
2.1 Examples using the direct beam stiffness matrix
2.1.1 Example 1
2.1.2 Example 2
2.1.3 Example 3
3 Finite elements (adding more elements)
3.1 Example 3 redone with 2 elements
4 Generating shear and bending moments diagrams
5 Finding the stiffness matrix using methods other than direct method
5.1 Virtual work method for derivation of the stiffness matrix
5.2 Potential energy (minimize a functional) method to derive the stiffness matrix
6 References