Algebraic graph statics

This research developed a general, non-procedural, algebraic approach to graphical analysis of structures.

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Using graph theoretical properties of reciprocal graphs, the geometrical relation between the form and force diagrams used in graphic statics are written algebraically. These formulations have been found to be equivalent to the equilibrium equations used in matrix analysis of planar, self-stressed structural systems.

The significance and uses of this general approach are demonstrated through several examples, and it is shown that it provides a robust back-end for a real-time, interactive, and flexible computational implementation of traditional graphic statics. In-browser applications are currently in development.


Van Mele T. and Block P.Algebraic Graph Statics,Computer-Aided Design,53: 104-116,2014.
Akbarzadeh M., Van Mele T. and Block P.Compression-only form finding through finite subdivision of the external force polygon,Proceedings of the IASS-SLTE 2014 Symposium,Brasilia, Brazil,2014.


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