Modeling and Static Analysis of Two-Dimensional Linear Trusses using Graphic Static Method

Graphics statics is a geometric method for analyzing and calculating the internal forces of structural members under external loads. In this method, two diagrams of structural form and internal forces in the members are determined and drawn graphically. The process of parameterization of this method in both form production and internal force calculations can lead to various designs with the least amount of time. In such circumstances, Architects and Civil engineers can make the best choice based on the criteria and objectives of the structure, form and geometric topology. In this paper, the parametric graphics statics analysis of various truss designs, derived from the popular species Warren, Pratt, Howe, and Fink, or any related free-form, is performed in the Python programming language in the grasshopper Plugin. The results of the analysis performed with the results in the available sources show that the proposed parametric graphics statics method has a high performance in calculating the internal forces of members of conventional trusses or free-form with any desired load.