Polyhedral Graphical Statics

Polyhedral Graphic Statics is a geometry-based structural design method based on polyhedral reciprocal diagrams first proposed by Rankine and Maxwell 150 years ago. Providing a unique design guide for structural form finding of efficient spatial structures, this book offers up-to-date insights into the field of geometry-based structural design. The author introduces a different design domain, the force domain, and explains the relationship between the geometry of efficient structural forms and the geometric equilibrium of forces called the force diagram. Beginning with step-by-step geometric methods to construct the reciprocal force diagram for simple structural forms, the book then advances to more articulated systems. These include spatial compression-only forms and systems with mixed tensile and compressive forces. Presenting computational applications, the text provides algebraic formulation for form finding in 3D. Discover the applications of this pioneering method in Material Science, Mechanical Engineering, Aerospace, and the design of carbon-absorbing structures.

• Introduces the theory of Polyhedral Graphic Statics, step-by-step with numerous examples explaining geometry-based equilibrium methods in 2D and 3D simultaneously
• Demonstrates applications, providing examples of lightweight structures as well as how the method can be combined with techniques such as origami and kirigami
• Establishes a new approach for optimising design to reduce mass and construction materials