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Home > Publications > International Concrete Abstracts Portal
The International Concrete Abstracts Portal is an ACI led collaboration with leading technical organizations from within the international concrete industry and offers the most comprehensive collection of published concrete abstracts.
Title: Umbrella and Gable Roofs
Author(s): W. C. Schnobrich
Publication: Special Publication
Appears on pages(s): 89-114
Keywords: bending; edge beams; finite element method; reinforced concrete; hyperbolic parabolic shells; membrane theory (shells); prestressing; roofs; shells (structural forms); structural design; Design
Abstract:Umbrella and gable configurations are two of the most popular hyperbolic parabolic geometries. Early design of those shells was accomplished through the use of membrane theory. This determinant theory predicted overall behavior of these shells as a double cantilever beam for the inverted umbrella and as a simple beam for the gable shell. As long as the dimensions of these shells were small enough, this theory was adequate. However, with increased spans and with flatter applications, the theory proves to be inadequate. Bending solutions achieved by a finite element analysis prove to be necessary. Results from such analysis demonstrate the influence of several design parameters. The major role played by the dead weight of the edge and ridge beams is demonstrated.
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