Vector-Based 3D Graphic Statics (Part II): Construction of Force Diagrams
(2016) IASS Annual Symposium 2016 “Spatial Structures in the 21st Century” — Location: Tokyo (Japan) (26.September.2016)
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- 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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Citations
Jasienski, J.-P., D’Acunto, P., Ohlbrock, P. O., & Fivet, C. (2016). Vector-Based 3D Graphic Statics (Part II): Construction of Force Diagrams. IASS Annual Symposium 2016 “Spatial Structures in the 21st Century”, Tokyo (Japan). https://hdl.handle.net/2078.5/182886