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From a weightless bent wire coat hanger to shell structures via the beltrami stress tensor

Malek, S and McRobie, A and Shepherd, P and Williams, C (2017) From a weightless bent wire coat hanger to shell structures via the beltrami stress tensor. Journal of the International Association for Shell and Spatial Structures, 58. pp. 39-50. ISSN 1028-365X

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Abstract

© 2017 by Samar Malek, Allan McRobie, Paul Shepherd and Chris Williams. Published by the International Association for Shell and Spatial Structures (IASS) with permission. A weightless wire coat hanger bent out of its plane is one of the simplest possible structures. All it does is transfer a force and moment around a closed space curve. Assembling a family of coat hangers enables us to build up trusses and frames and if we allow an infinite number of coat hangers which overlap we can assemble plates, shells and fully three dimensional structures. We can apply loads to these structures via a loading frame and wires, also made from coat hangers. A wire carrying an electric current produces a magnetic field in the space surrounding the wire. For the bent coat hanger we can imagine that there is a vector field surrounding the wire as a result of the force and moment in the wire. We can use this vector field to obtain expressions for the forces and moments in a shell in equilibrium with applied loads.

Item Type: Article
Subjects: UNSPECIFIED
Divisions: Div D > Structures
Depositing User: Cron Job
Date Deposited: 17 Jul 2017 19:26
Last Modified: 03 Aug 2017 03:00
DOI: