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This paper introduces a new form finding approach for the design of flexible formwork, consisting of pre-stressed structural membranes, for the construction of thin, anticlastic, concrete shells. The approach is based on the Force Density Method and an adaptation of the nonlinear extension of Thrust Network Analysis (TNA). First, the adaptation of the basic(More)
Based on Rankine's proposition for equilibrium of polyhedral frames in 1864, this research provides a clear illustration of the theory of reciprocity between form and force diagrams in three dimensions. It explores the geometric relationship between three-dimensional networks to determine the equilibrium of general spatial frames. It extends graphic statics(More)
• Three-dimensional extension of graphic statics using polyhedral form and force diagrams. • Defining the topological and geometrical relationships of 3D reciprocal diagrams. • Design of compression and tension-only spatial structures with externally applied loads. • Designing complex funicular spatial forms by aggregating convex force polyhedral cells. •(More)
• General, non-procedural approach to graphical analysis of two-dimensional structures. • Equilibrium equations derived from reciprocal relation between form and force graphs. • States of stress of structural systems from analysis of equivalent unloaded networks. • Construction of planar straight-line drawings of planar form graphs. • Computational back-end(More)
This paper introduces scissor-hinged retractable membrane structures, a system for retractable membrane roofs that require a fully retractable supporting structure and multiple stable roof-configurations. A vaulted, foldable, supporting structure is developed consisting of two scissor-hinged frames that can retract towards opposite sides of the space below.(More)
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