The equilibrium equations matrix manipulations for creation of flat steel truss automated design system

Abstract

This article analyzes matrix inversion problem for creating automated design system. The creation methods of flat steel truss automated design system are discovered with Unified Modeling Language. Use case and collaboration diagrams are presented. The problem is solved programmatieally in two steps: converting the equilibrium equations and finding the inverse matrix. The inverse matrix is found from artificially created pairs of matrices and using the Gauss-Jordan elimination method. Integrated CAD environment (AutoCAD) with Visual Basic Application programming language enlarges possibilities in engineering design. Design system and an example of flat steel truss project presented. Creation methods of automated design system are discussed and conclusions are made.