An equilibrium-based design workflow for Member Structural System integrating Combinatorial Equilibrium Modelling, Vector-based Graphic Statics, and Material concretization

Junwang Yu;Hua Chai;Rasneur, Sylvain;Tianyi Gao;Yuan Philip;et.al.
(2026) Nexus Network Journal — Vol. 1, n° 23 (2026)

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Abstract
This paper presents an equilibrium-based method for designing member-based structural systems, which fulfills the objectives of form generation, shape optimization, and materialization. It leverages and refines three algorithms: Combinatorial Equilibrium Modelling (CEM), Vector-based Graphic Statics (VGS), and a customized materialization method. These algorithms are integrated into a workflow that commences with a modified CEM for a minimized load path form-finding within a constrained domain. The model is then transformed through VGS in a dynamic process for subjective design purposes. Finally, the material concretization method specifies and dimensions the optimized strut-and-tie model. The paper describes the initiation and termination conditions for each step. Two case studies, a virtual truss bridge and a detailed wooden tower, demonstrate the method, highlighting the merit of this interactive workflow in bridging the gap between structural engineers and architects.
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Junwang Yu, Hua Chai, Rasneur, S., Tianyi Gao, Haolin Yang, Yu Li, Zastavni, D., & Yuan Philip. (2026). An equilibrium-based design workflow for Member Structural System integrating Combinatorial Equilibrium Modelling, Vector-based Graphic Statics, and Material concretization. Nexus Network Journal, 1(23). https://hdl.handle.net/2078.5/273309 (Original work published 2026)