Membrane Solution for a Catenary Dome
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Published:2021-03-01
Issue:1
Volume:62
Page:37-49
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ISSN:1028-365X
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Container-title:Journal of the International Association for Shell and Spatial Structures
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language:en
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Short-container-title:Journal of the International Association for Shell and Spatial Structures
Author:
Gohnert Mitchell,Bradley Ryan
Abstract
A membrane solution for a catenary dome is presented. The theory solves for the meridian and hoop stresses, assuming a symmetrical load. The theory is extended to solve for domes with an oculus, or rather a circular hole at the apex of the dome. The proposed theory does not include
boundary effects, but a verification of the theory indicates that the boundary effects are minimal, compared to other dome shapes. The theory is verified by comparing the equations with a finite element analysis, which indicates an almost perfect match. Only a slight deviation occurs near
the boundary, substantiating the legitimacy of the solution.
Publisher
International Association for Shell and Spatial Structures
Subject
Mechanical Engineering,Arts and Humanities (miscellaneous),Building and Construction,Civil and Structural Engineering
Cited by
2 articles.
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