Membrane Solution for a Catenary Dome

• Autores: Mitchell Gohnert, Ryan Bradley
• Localización: Journal of the International Association for Shell and Spatial Structures, ISSN-e 1996-9015, ISSN 1028-365X, Vol. 62, Nº. 1, 2021, págs. 37-49
• Idioma: inglés
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• Resumen

  • 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.