{"title":"Membrane Solution for a Catenary Dome","authors":"M. Gohnert, R. Bradley","doi":"10.20898/j.iass.2020.003","DOIUrl":null,"url":null,"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.","PeriodicalId":42855,"journal":{"name":"Journal of the International Association for Shell and Spatial Structures","volume":null,"pages":null},"PeriodicalIF":1.1000,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the International Association for Shell and Spatial Structures","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.20898/j.iass.2020.003","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ENGINEERING, CIVIL","Score":null,"Total":0}
引用次数: 1
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.
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The Association publishes an international journal, the Journal of the IASS, four times yearly, in print (ISSN 1028-365X) and on-line (ISSN 1996-9015). The months of publication are March, June, September and December. Occasional extra electronic-only issues are included in the on-line version. From this page you can access one or more issues -- a sample issue if you are not logged into the members-only portion of the site, or the current issue and several back issues if you are logged in as a member. For any issue that you can view, you can download articles as .pdf files.
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