Akbarzadeh M., Van Mele T. and Block P.
Proceedings of the International Association for Shell and Spatial Structures (IASS) Symposium 2013
Wroclaw, Poland
2013
Based on Rankine's proposition of three-dimensional reciprocity of form and force in 1864, this research provides a clear illustration of the theory of reciprocity between the form and force diagrams in three dimensions. It explores the geometric reciprocity between three-dimensional networks, and uses this concept to determine the equilibrium of the general spatial frames. Thus, it extends graphic statics to a fully three-dimensional method to design and analyse spatial frames such as tree structures, curved frames, cellular structures, etc., under given external loads and/or self-stressed compression- or tension-only conditions.
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