# Equilibrium of spatial networks using 3D reciprocal diagrams

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.

BibTeX

@inproceedings{Akbarzadeh2013,
author    = "Akbarzadeh, M. and Van Mele, T. and Block, P.",
title     = "Equilibrium of spatial networks using 3D reciprocal diagrams",
booktitle = "Proceedings of the International Association for Shell and Spatial Structures (IASS) Symposium 2013",
year      = "2013",
editor    = "Obrębski, J.B. and Tarczewski, R. ",
volume    = "",
number    = "",
pages     = "",
publisher = "",
month     = "September",
doi       = "",
note      = "",
}

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