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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 83
PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: B.H.V. Topping, G. Montero and R. Montenegro
Paper 92
Pre-Stressed Roof Networks with Different Contour Structures J. Idnurm1 and V. Kulbach2
1Department of Transportation,
2Department of Structural Design,
Full Bibliographic Reference for this paper
J. Idnurm, V. Kulbach, "Pre-Stressed Roof Networks with Different Contour Structures", in B.H.V. Topping, G. Montero, R. Montenegro, (Editors), "Proceedings of the Eighth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 92, 2006. doi:10.4203/ccp.83.92
Keywords: cable structure, differential equations, galyorkin procedure, girder-stiffened structure, hanging roof, hypar-network.
Summary
This paper provides an overview concerning the continuous and discrete method of analysis
for cable networks with different contour structures [1]. Usually the cable network
of a saddle-shaped roof is formed inside a contour of two inclined plane arches
which are supported by massive counterforts at lower ends. In the present paper
the advantages of a hypar-network encircled by a spatial contour beam with an elliptical
layout and without any external horizontal supports have been presented. Both
the discrete and continuous calculation methods [2] can be used for the analysis of the
stress-strain state of those networks.
An orthogonal hypar-network consists of concave carrying and convex stretching cables and may be described as a translatory surface:
In case of vertical loading, the condition of equilibrium may be written in form:
(2) Using also equations of deformation compatibility and Galyorkin [3] procedure, we obtain system of equations for relative deflections of the network and for the cable forces. An approximate analysis of a hypar-network brings us to a cubic equation for determination of the network's relative deflection:
In discrete analysis, generally a system of vector equations is to be solved [4,5]. In case of orthogonal cable network structures, the condition of equilibrium is to be formed for every node:
and equations of deformations compatibility for every cable:
For contour beam we can use any computational method, such as the finite element method, which give
us deformations, depending of cable forces
For the numerical example, a hypar-network with main parameters References
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