{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,2]],"date-time":"2025-03-02T06:04:25Z","timestamp":1740895465204,"version":"3.38.0"},"reference-count":20,"publisher":"SAGE Publications","issue":"2","license":[{"start":{"date-parts":[[2001,5,1]],"date-time":"2001-05-01T00:00:00Z","timestamp":988675200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering"],"published-print":{"date-parts":[[2001,5,1]]},"abstract":"<jats:p> In this paper analytical solutions for displacements and stresses in spherical shells over rectangular areas are developed. The analysis is based on spherical shallow shell equations, and solutions are obtained through the use of double Fourier series expressions to represent the displacement and loading terms. Three types of loading were considered: radial load, overturning moment and tangential shear. In order to test the results, an experiment and finite element investigation has been carried out to determine the state of stress in a spherical shell model and results are compared in graphs. The proposed solution is also applied to compute the local stresses around a support leg in a spherical shell, and results are compared with those obtained by the Bijlaard method used in American code ASME VIII, Part 2, and British code PD 5500: 2000. <\/jats:p>","DOI":"10.1243\/0954408011530352","type":"journal-article","created":{"date-parts":[[2002,10,1]],"date-time":"2002-10-01T23:24:51Z","timestamp":1033514691000},"page":"99-109","source":"Crossref","is-referenced-by-count":3,"title":["Stresses from radial loads and external moments in spherical pressure vessels"],"prefix":"10.1177","volume":"215","author":[{"given":"N F","family":"Rilo","sequence":"first","affiliation":[{"name":"Centre de Engenharia Mec\u00e2nica da Universidade de Coimbra Coimbra, Portugal"}]},{"given":"J F","family":"da Silva Gomes","sequence":"additional","affiliation":[{"name":"Laborat\u00f3rio de M\u00e9todos Opticos e Mec\u00e2nica Experimental Porto, Portugal"}]},{"given":"J M O S","family":"Cirne","sequence":"additional","affiliation":[{"name":"Centre de Engenharia Mec\u00e2nica da Universidade de Coimbra Coimbra, Portugal"}]},{"given":"R A","family":"da Costa Pereira Leal","sequence":"additional","affiliation":[{"name":"Centre de Engenharia Mec\u00e2nica da Universidade de Coimbra Coimbra, Portugal"}]}],"member":"179","published-online":{"date-parts":[[2001,5,1]]},"reference":[{"issue":"12","key":"bibr1-0954408011530352","first-page":"615","volume":"33","author":"Bijlaard P. P.","year":"1954","journal-title":"Weld. J."},{"key":"bibr2-0954408011530352","first-page":"805","volume":"77","author":"Bijlaard P. P.","year":"1955","journal-title":"ASME"},{"issue":"12","key":"bibr3-0954408011530352","first-page":"608","volume":"34","author":"Bijlaard P. P.","year":"1955","journal-title":"Weld. J."},{"key":"bibr4-0954408011530352","doi-asserted-by":"publisher","DOI":"10.1243\/03093247V151001"},{"key":"bibr5-0954408011530352","doi-asserted-by":"publisher","DOI":"10.1243\/03093247V173157"},{"key":"bibr6-0954408011530352","doi-asserted-by":"publisher","DOI":"10.1243\/03093247V223139"},{"key":"bibr7-0954408011530352","doi-asserted-by":"publisher","DOI":"10.1016\/0308-0161(87)90004-4"},{"key":"bibr8-0954408011530352","doi-asserted-by":"publisher","DOI":"10.1016\/0308-0161(89)90029-X"},{"key":"bibr9-0954408011530352","doi-asserted-by":"publisher","DOI":"10.1016\/0308-0161(89)90026-4"},{"key":"bibr10-0954408011530352","unstructured":"Rilo N. F. Local loads in pressure vessels and piping. PhD thesis, Coimbra University, 1992."},{"key":"bibr11-0954408011530352","unstructured":"Rilo N. F., Vaz M. A. P., Melo F. J.Q., Silva Gomes J. F. An assessment of the stress and deformation distribution in thin-walled cylindrical shells under the influence of local attachments. In Recent Advances\u2014Experimental Mechanics, Proceedings of the Tenth International Conference on Experimental Mechanics, Lisboa, Portugal, July 1994, pp. 389\u2013394."},{"key":"bibr12-0954408011530352","doi-asserted-by":"publisher","DOI":"10.1115\/1.3264436"},{"volume-title":"Unfired Fusion Welded Vessels","year":"2000","author":"PD 5500","key":"bibr13-0954408011530352"},{"volume-title":"ASME Boiler and Pressure Vessel Code","year":"1986","key":"bibr14-0954408011530352"},{"key":"bibr15-0954408011530352","unstructured":"Bijlaard P. P. Computation of the stresses from local loads in spherical pressure vessels or pressure vessel heads. Welding Research Council Bulletin 34, March 1957."},{"key":"bibr16-0954408011530352","unstructured":"Wichman K. R., Hopper A. G., Mershon J. L. Local stresses in spherical and cylindrical shells due to external loadings. Welding Research Council Bulletin 107, August 1965."},{"key":"bibr17-0954408011530352","doi-asserted-by":"publisher","DOI":"10.1243\/03093247V021001"},{"key":"bibr18-0954408011530352","doi-asserted-by":"publisher","DOI":"10.1016\/B978-0-08-006729-2.50010-2"},{"key":"bibr19-0954408011530352","unstructured":"Kitching R. Local loading of shells. Notes for lecture 4, Pressure Vessel Design Course, Curso de Mestrado em Engerharia Estrutural, Porto, 1982."},{"key":"bibr20-0954408011530352","doi-asserted-by":"publisher","DOI":"10.1016\/0045-7949(81)90029-8"}],"container-title":["Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1243\/0954408011530352","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1243\/0954408011530352","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,3,2]],"date-time":"2025-03-02T00:37:51Z","timestamp":1740875871000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.1243\/0954408011530352"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,5,1]]},"references-count":20,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2001,5,1]]}},"alternative-id":["10.1243\/0954408011530352"],"URL":"https:\/\/doi.org\/10.1243\/0954408011530352","relation":{},"ISSN":["0954-4089","2041-3009"],"issn-type":[{"type":"print","value":"0954-4089"},{"type":"electronic","value":"2041-3009"}],"subject":[],"published":{"date-parts":[[2001,5,1]]}}}