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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 26
Edited by: M. Papadrakakis and B.H.V. Topping
Paper V.1

Superposition in Stress - Unilateral Cable Structures

C.D. Bisbos

Institute for Steel Structures, Department of Civil Engineering, Aristotle University, Thessaloniki, Greece

Full Bibliographic Reference for this paper
C.D. Bisbos, "Superposition in Stress - Unilateral Cable Structures", in M. Papadrakakis, B.H.V. Topping, (Editors), "Advances in Computational Mechanics", Civil-Comp Press, Edinburgh, UK, pp 117-121, 1994. doi:10.4203/ccp.26.5.1
The present paper concerns the superposition problem for stress - unilateral cable structures, i.e. structures containing cables incapable to carry on compressive forces. A truss-like stress unilateral element is used and its material law is formulated as complementarity conditions between the element stress and its slackness. Similar conditions are obtained at the structural level and equilibrium is used to eliminate the displacements leading to a force method-like symmetric Linear Complementarity Problem (LCP). The superposition problem for affine external load combinations is studied on the basis of this LCP. The main result is that superposition holds in a restricted sense, i.e. the load pattern parameters must lie within a domain, determined by a system of linear inequalities. Bounds of specific parameters are obtained. Single load pattern parameters are also considered.

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