On vector-based structural optimization and design of wind bracing of isostatic tetragonal grid systems for timber buildings

Abstract. The design of sustainable and efficient structures demands a multi-disciplinary approach that integrates environmental, geometric, and structural considerations. This article examines the environmental challenges of structural design, emphasizing the role of material optimization and the significance of timber construction as a low-carbon alternative. It explores the principles of graphic statics and the lower bound theorem of plasticity, demonstrating their applicability in analyzing and optimizing force flows within structural systems. Additionally, strut-and-tie models and the integration of elastic-plastic principles in timber structures are presented as tools to enhance structural efficiency. The chapter also highlights the benefits of isostatic design strategies and topology optimization for achieving material efficiency and structural robustness. Finally, the computational tool Vector-based Graphic Statics is introduced, offering interactive capabilities for visualizing and manipulating 3D structural solutions, advancing the conceptual design process towards innovation and sustainability.