Finite Element Program for Space Truss Analysis Using MATLAB Programming

This article presents a comprehensive approach to developing a finite element program using MATLAB for space truss analysis. The program enables simulation and analysis of stress distribution and deformation patterns in various spatial truss structures. We will introduce fundamental concepts of the Finite Element Method (FEM) and demonstrate its MATLAB implementation through key algorithmic steps including node numbering, element connectivity, stiffness matrix assembly, and boundary condition application. The implementation utilizes MATLAB's matrix operations for efficient stiffness matrix formulation and employs sparse matrix techniques for handling large-scale problems. We will explore essential mathematical foundations including displacement formulations and stress-strain relationships, along with programming techniques for element stiffness calculation and global system assembly. The program incorporates visualization capabilities using MATLAB's plotting functions to display deformation patterns and stress contours. Additionally, we discuss data analysis methods for interpreting numerical results and validating solution accuracy. Finally, we examine practical engineering applications of the program and discuss extension strategies for analyzing more complex structural systems including dynamic analysis and nonlinear behavior.