{"id":{"repo_id":"brazil-uerj","oai_identifier":"oai:pantheon.ufrj.br:11422/2785"},"canonical_url":"https://search.dev.ndltd.org/etd/brazil-uerj/oai:pantheon.ufrj.br:11422/2785","repository":{"repo_id":"brazil-uerj","name":"Brazil UERJ","base_url":"https://pantheon.ufrj.br/oai/request"},"display":{"title":"Estudo da validade da hipótese de Kirchhoff-Love na Teoria das Placas","abstract":"Equations and boundary conditions from the classical theory due to Kirchhoff-Love and the refined Reissner theory were obtained by using the linear theory of elasticity and standard energy variational principles. Analytical expressions of deflections and resultant stresses are treated for rectangular plates subjected to transverse uniformly distributed loadings considering the following boundary conditions: Case 1 - Four simply supported edges. Case 2 - Two simply parallel supported edges and two parallel clamped edges. Case 3 - Two simply parallel supported edges and two parallel free edges. We obtain numerical results which are presented in tables and graphs from a digital program by using analytical expressions. The analysis of the numerical results that we obtained by both theories allow us to stablish certain values for the relation h/a where h is the thickness of the plate and a the lenght of a side of the plate, from here on is not possible to use any more a classical theory due to Kirchhoff-Love. We analyse the perturbations which appear near to the boundary and corners of the plate, which arose from the difference between the two theories, according to the number of boundary conditions per each boundary. The equations of Hencky's theory are presented in appendix A.","abstract_html":"Equations and boundary conditions from the classical theory due to Kirchhoff-Love and the refined Reissner theory were obtained by using the linear theory of elasticity and standard energy variational principles. Analytical expressions of deflections and resultant stresses are treated for rectangular plates subjected to transverse uniformly distributed loadings considering the following boundary conditions: Case 1 - Four simply supported edges. Case 2 - Two simply parallel supported edges and two parallel clamped edges. Case 3 - Two simply parallel supported edges and two parallel free edges. We obtain numerical results which are presented in tables and graphs from a digital program by using analytical expressions. The analysis of the numerical results that we obtained by both theories allow us to stablish certain values for the relation h/a where h is the thickness of the plate and a the lenght of a side of the plate, from here on is not possible to use any more a classical theory due to Kirchhoff-Love. We analyse the perturbations which appear near to the boundary and corners of the plate, which arose from the difference between the two theories, according to the number of boundary conditions per each boundary. The equations of Hencky's theory are presented in appendix A.","abstract_has_math":false,"creators":["Ribeiro, José Roberto Martins"],"institution":"Universidade Federal do Rio de Janeiro","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Villaça, Sergio Fernandes"],"committee_chairs":[],"committee_members":[],"year":1976,"date_issued":"1976-08","date_published":"1976-08","updated_at":"2026-07-24T01:15:53Z","subjects":["Validade do teste","Placas"],"languages":["por"],"rights":["Acesso Aberto"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/11422/2785","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Villaça, Sergio Fernandes"]},{"key":"dc:creator","label":"Author","values":["Ribeiro, José Roberto Martins"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2017-09-06T16:30:37Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2026-05-16T03:05:10Z"]},{"key":"dc:date.issued","label":"Date","values":["1976-08"]},{"key":"dc:publisher","label":"Institution","values":["Universidade Federal do Rio de Janeiro"]},{"key":"dc:publisher.department","label":"Dc Publisher Department","values":["Instituto Alberto Luiz Coimbra de Pós-Graduação e Pesquisa de Engenharia"]},{"key":"dc:type","label":"Dc Type","values":["Dissertação"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Validade do teste","Placas"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["por"]},{"key":"dc:rights","label":"Dc Rights","values":["Acesso Aberto"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/11422/2785"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["Equations and boundary conditions from the classical theory due to Kirchhoff-Love and the refined Reissner theory were obtained by using the linear theory of elasticity and standard energy variational principles. Analytical expressions of deflections and resultant stresses are treated for rectangular plates subjected to transverse uniformly distributed loadings considering the following boundary conditions: Case 1 - Four simply supported edges. Case 2 - Two simply parallel supported edges and two parallel clamped edges. Case 3 - Two simply parallel supported edges and two parallel free edges. We obtain numerical results which are presented in tables and graphs from a digital program by using analytical expressions. The analysis of the numerical results that we obtained by both theories allow us to stablish certain values for the relation h/a where h is the thickness of the plate and a the lenght of a side of the plate, from here on is not possible to use any more a classical theory due to Kirchhoff-Love. We analyse the perturbations which appear near to the boundary and corners of the plate, which arose from the difference between the two theories, according to the number of boundary conditions per each boundary. The equations of Hencky's theory are presented in appendix A."]},{"key":"dc:title","label":"Title","values":["Estudo da validade da hipótese de Kirchhoff-Love na Teoria das Placas"]}]}],"canonical_facts":{"dc:contributor.advisor":["Villaça, Sergio Fernandes"],"dc:creator":["Ribeiro, José Roberto Martins"],"dc:date.accessioned":["2017-09-06T16:30:37Z"],"dc:date.available":["2026-05-16T03:05:10Z"],"dc:date.issued":["1976-08"],"dc:description.abstract":["Equations and boundary conditions from the classical theory due to Kirchhoff-Love and the refined Reissner theory were obtained by using the linear theory of elasticity and standard energy variational principles. Analytical expressions of deflections and resultant stresses are treated for rectangular plates subjected to transverse uniformly distributed loadings considering the following boundary conditions: Case 1 - Four simply supported edges. Case 2 - Two simply parallel supported edges and two parallel clamped edges. Case 3 - Two simply parallel supported edges and two parallel free edges. We obtain numerical results which are presented in tables and graphs from a digital program by using analytical expressions. The analysis of the numerical results that we obtained by both theories allow us to stablish certain values for the relation h/a where h is the thickness of the plate and a the lenght of a side of the plate, from here on is not possible to use any more a classical theory due to Kirchhoff-Love. We analyse the perturbations which appear near to the boundary and corners of the plate, which arose from the difference between the two theories, according to the number of boundary conditions per each boundary. The equations of Hencky's theory are presented in appendix A."],"dc:identifier.uri":["http://hdl.handle.net/11422/2785"],"dc:language":["por"],"dc:publisher":["Universidade Federal do Rio de Janeiro"],"dc:publisher.department":["Instituto Alberto Luiz Coimbra de Pós-Graduação e Pesquisa de Engenharia"],"dc:rights":["Acesso Aberto"],"dc:subject":["Validade do teste","Placas"],"dc:title":["Estudo da validade da hipótese de Kirchhoff-Love na Teoria das Placas"],"dc:type":["Dissertação"]},"updated_at":"2026-07-24T01:15:53Z"}