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Article Dans Une Revue Acta Mechanica Année : 2021

Funicularity of conics

Résumé

Funicular structures can resist a given load with pure axial forces, and therefore tend to use material very efficiently. One main challenge in their design is the form-finding, which often requires advanced numerical methods. In this article, we show analytically that a very common family of curves, conics, is funicular for a particular load case: a uniform radial load emanating from a focus (Figure 1). The result is a generalization of the well-known funicularity of parabolas and arcs of circles, respectively under uniform vertical load and constant normal pressure. It can be used to design self-stressed structures by hand without the need for calculations. Portions of conics can be combined to obtain original shapes.
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Dates et versions

hal-03750177 , version 1 (11-08-2022)

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Xavier Tellier, Cyril Douthe, Laurent Hauswirth, Olivier Baverel. Funicularity of conics. Acta Mechanica, 2021, 232 (8), pp.3179-3191. ⟨10.1007/s00707-021-02987-6⟩. ⟨hal-03750177⟩
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