Algebraic Graph Statics
Graphic Statics
Graphic statics is a well-known method for analysis and design of two-dimensional structures based on Cremona’s extensions of Maxwell’s theory of reciprocal figures [1,2]. In graphicstatics, the relation between form and forces of a structural system is contained in the reciprocal relation between two diagrams. A form diagram describes the geometrical configuration of the (axial) internal and external forces of a two-dimensional structural system, and a force diagram represents their equilibrium. The combination of these two diagrams allows for an intuitive evaluation of structural behaviour, performance and efficiency at a glance. The graphical nature of the method furthermore allows for a visual verification of both the evaluation process and results [3,4], making it more transparent than arithmetic or numerical methods.
Implementations
Algebraic Graph Statics
Bi-directional algebraic graph statics
Load-path optimisation of funicular networks