Approximate Static Analysis of Circular Convex Cable Roof Beams in the Existence of Central and Edge Rings.

Document Type : Research Studies

Authors

1 Emeritus professor in Determent of Structural Engineering, Faculty of Engineering, Mansoura University

2 Assistant Professor in Department of Structural Engineering, Faculty of Engineering, Mansoura University

3 Demonstrator in Department of Structural Engineering, Faculty of Engineering, Mansoura University

Abstract

The key objective of the present work is to study the parameters affecting the static behavior of convex cable roof beams with central and edge rings, taking into consideration the nonlinear behavior to propose an appropriate approach for their preliminary calculations and design aspects. In such roofs, the cables are commonly suspended radially and attached at the perimeter of the roof to an elastically deformable compression edge ring and at the center to tension steel rings. A structure with a specific geometrical and mechanical properties has been analyzed based upon the minimization of the total potential energy by the conjugate gradient method to produce nondimensional curves, tables, and transformation expressions used for the preliminary design. The suggested preliminary approach is applicable for any structure with similar characteristics and can be used to determine the maximum roof deformations, maximum tensions of the sagging cables, minimum tensions of the hogging cables, and the maximum normal forces in the rings. It is noted that the method show good results compared to the exact analysis methods commonly used by commercial programs in structural analysis, and can be readily developed to be used for concave, convex-concave cable beam roofs with different plans of view

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