{"id":{"repo_id":"vt","oai_identifier":"oai:vtechworks.lib.vt.edu:10919/64121"},"canonical_url":"https://search.dev.ndltd.org/etd/vt/oai:vtechworks.lib.vt.edu:10919/64121","repository":{"repo_id":"vt","name":"Virginia Tech","base_url":"https://vtechworks.lib.vt.edu/oai/request"},"display":{"title":"A doubly-curved finite element analysis of thin arbitrary shell structures","abstract":"This paper is concerned with the linear elastic static analysis of thin arbitrary shell structures by the use of the displacement approach finite element method. The various factors involved in selecting a shell finite element are discussed. A comprehensive formulation of a 27 degree of freedom, arbitrary, doubly-curved, nonconforming, triangular, shallow shell element is presented. Both the normal and tangential displacement fields are expressed by \"incomplete\" cubic, natural coordinate, polynomial interpolation functions. A WATFIV/FORTRAN computer code utilizing this element in a linear elastic static analysis of thin shell structures is formulated and presented. Demonstration problems are presented and comparisons are made with solutions in the literature.","abstract_html":"This paper is concerned with the linear elastic static analysis of thin arbitrary shell structures by the use of the displacement approach finite element method. The various factors involved in selecting a shell finite element are discussed. A comprehensive formulation of a 27 degree of freedom, arbitrary, doubly-curved, nonconforming, triangular, shallow shell element is presented. Both the normal and tangential displacement fields are expressed by "incomplete" cubic, natural coordinate, polynomial interpolation functions. A WATFIV/FORTRAN computer code utilizing this element in a linear elastic static analysis of thin shell structures is formulated and presented. Demonstration problems are presented and comparisons are made with solutions in the literature.","abstract_has_math":false,"creators":["Burchnall, John Billings"],"institution":"Virginia Polytechnic Institute and State University","degree_name":"Master of Science","degree_level":"masters","degree_discipline":"Civil Engineering","degree_department":"Civil Engineering","school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1977,"date_issued":"1977","date_published":"1977","updated_at":"2026-07-22T22:19:48Z","subjects":[],"languages":["en"],"rights":["In Copyright"],"rights_urls":["http://rightsstatements.org/vocab/InC/1.0/"],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/10919/64121","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.department","label":"Department","values":["Civil Engineering"]},{"key":"dc:creator","label":"Author","values":["Burchnall, John Billings"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2015-11-13T20:44:44Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2015-11-13T20:44:44Z"]},{"key":"dc:date.issued","label":"Date","values":["1977"]},{"key":"dc:publisher","label":"Institution","values":["Virginia Polytechnic Institute and State University"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"dc:type.dcmitype","label":"Dc Type Dcmitype","values":["Text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Civil Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["masters"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Science"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["Virginia Polytechnic Institute and State University"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["In Copyright"]},{"key":"dc:rights.uri","label":"Rights URI","values":["http://rightsstatements.org/vocab/InC/1.0/"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/10919/64121"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["This paper is concerned with the linear elastic static analysis of thin arbitrary shell structures by the use of the displacement approach finite element method. The various factors involved in selecting a shell finite element are discussed. A comprehensive formulation of a 27 degree of freedom, arbitrary, doubly-curved, nonconforming, triangular, shallow shell element is presented. Both the normal and tangential displacement fields are expressed by \"incomplete\" cubic, natural coordinate, polynomial interpolation functions. A WATFIV/FORTRAN computer code utilizing this element in a linear elastic static analysis of thin shell structures is formulated and presented. Demonstration problems are presented and comparisons are made with solutions in the literature."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["Master of Science"]},{"key":"dc:format.mimetype","label":"Dc Format Mimetype","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["A doubly-curved finite element analysis of thin arbitrary shell structures"]}]}],"canonical_facts":{"dc:contributor.department":["Civil Engineering"],"dc:creator":["Burchnall, John Billings"],"dc:date.accessioned":["2015-11-13T20:44:44Z"],"dc:date.available":["2015-11-13T20:44:44Z"],"dc:date.issued":["1977"],"dc:description.abstract":["This paper is concerned with the linear elastic static analysis of thin arbitrary shell structures by the use of the displacement approach finite element method. The various factors involved in selecting a shell finite element are discussed. A comprehensive formulation of a 27 degree of freedom, arbitrary, doubly-curved, nonconforming, triangular, shallow shell element is presented. Both the normal and tangential displacement fields are expressed by \"incomplete\" cubic, natural coordinate, polynomial interpolation functions. A WATFIV/FORTRAN computer code utilizing this element in a linear elastic static analysis of thin shell structures is formulated and presented. 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