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IASS 2016 Tokyo Symposium: Spatial Structures in the 21st Century


IASS Symposium 2016

SESSION: Graphic Statics

Vector-Based 3D Graphic Statics (Part II): Construction of Force Diagrams

< Table of Contents for Graphic Statics
  • Proceedings Name: IASS 2016 Tokyo Symposium: Spatial Structures in the 21st Century
  • ISSN: (Electronic Version) 2518-6582
  • Session: Graphic Statics
  • Pages: 10
  • Title: Vector-Based 3D Graphic Statics (Part II): Construction of Force Diagrams
  • Author(s): Jean-Philippe Jasienski, Pierluigi D'acunto, Patrick Ole Ohlbrock, Corentin Fivet
  • Keywords: structural design, graphic statics, three-dimensional static equilibrium, force diagram, topology
Abstract
2D graphic statics is based on two interdependent diagrams, namely the form and the force diagrams. To each edge of the first one corresponds a pair of vectors in the second one that can be generally overlapped as a single element. In the case of vector-based 3D graphic statics, the reciprocity between the two diagrams is normally not attained due to the impossibility of overlapping all pairs of vectors in the force diagram. This paper explains how to construct the force diagram in three dimensions while proposing a solution to deal with the non-overlapping pairs of vectors. This procedure applies to any class of pin-jointed spatial frameworks. Alternative ways of assembling the force diagram are suggested and a specific double-layered configuration is described. The 3D force diagram defined here can be regarded as a direct extension of the 2D force diagram and can be effectively used for early design explorations.

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