Finite Element Analysis of Axial Deformation in Cantilever Beams

This article provides a comprehensive overview of finite element analysis for axial deformation in cantilever beams, including detailed MATLAB implementation examples using CST (Constant Strain Triangle) elements. We examine the definition and practical applications of cantilever beams, explaining why axial deformation analysis is critically important in structural engineering. The discussion covers fundamental finite element analysis concepts and demonstrates MATLAB implementation techniques through practical code examples. Key algorithmic aspects include stiffness matrix formulation for CST elements, displacement calculation methods, and stress-strain relationship implementations. The MATLAB examples showcase functions for element connectivity, force vector assembly, and boundary condition application. Finally, we provide practical implementation tips and optimization suggestions to enhance application of these tools in research and professional engineering projects.