Analysis of Bernoulli and Timoshenko beam theories for beams in different boundary conditions

Detalhes bibliográficos
Autor(a) principal: T. C. Silva
Data de Publicação: 2022
Tipo de documento: Artigo
Idioma: por
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://doi.org/10.21814/ecum.4491
Resumo: In this article, the structural behavior of beams is analyzed using the beam theories of Bernoulli and Timoshenko, changing the relationship between the span and the height of the cross section and varying the boundary condition of the structural element. The geometry of the structural elements analyzed were beams of rectangular section, it could be seen that for isostatic beams the effect of distortion due to shear (Timoshenko's theory) has little influence on the increase of displacements, in continuous beams this effect has a greater contribution, while for fixed ends beams this effect contributes significantly to the increase of displacements in the structure. Limit relationships of span size and cross-section height as a function of the boundary condition were proposed for the consideration of shear distortion.
id RCAP_bca0f86e99295a64757507a890527ea9
oai_identifier_str oai:journals.uminho.pt:article/4491
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Analysis of Bernoulli and Timoshenko beam theories for beams in different boundary conditionsAnálise das teorias de viga de Bernoulli e Timoshenko para vigas em diferentes condições de contornoIn this article, the structural behavior of beams is analyzed using the beam theories of Bernoulli and Timoshenko, changing the relationship between the span and the height of the cross section and varying the boundary condition of the structural element. The geometry of the structural elements analyzed were beams of rectangular section, it could be seen that for isostatic beams the effect of distortion due to shear (Timoshenko's theory) has little influence on the increase of displacements, in continuous beams this effect has a greater contribution, while for fixed ends beams this effect contributes significantly to the increase of displacements in the structure. Limit relationships of span size and cross-section height as a function of the boundary condition were proposed for the consideration of shear distortion.Neste artigo é analisado o comportamento estrutural de vigas utilizando as teorias de viga de Bernoulli e Timoshenko alterando-se a relação entre o vão e a altura da seção transversal e variando a condição de contorno do elemento estrutural. A geometria dos elementos estruturais analisados foram vigas de seção retangular, pôde-se constatar que para vigas isostáticas o efeito da distorção devido ao cisalhamento (teoria de Timoshenko) tem pouca influência no aumento dos deslocamentos, em vigas continuas esse efeito passa a ter uma maior contribuição, enquanto que para viga bi-encastrada esse efeito contribui de maneira significativa para o aumento dos deslocamentos na estrutura. Foram propostas relações limites de tamanho de vão e altura da seção transversal em função da condição de contorno para a consideração da distorção por cisalhamento.CTAC2022-12-20info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://doi.org/10.21814/ecum.4491https://doi.org/10.21814/ecum.4491Engenharia Civil UM; N.º 62 (2022); 45-54Engenharia Civil UM; No. 62 (2022); 45-542795-59820873-1152reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAPporhttps://revistas.uminho.pt/index.php/ecum/article/view/4491https://revistas.uminho.pt/index.php/ecum/article/view/4491/4815Direitos de Autor (c) 2022 T. C. Silvainfo:eu-repo/semantics/openAccessT. C. Silva2023-03-23T11:35:56Zoai:journals.uminho.pt:article/4491Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:45:12.686167Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Analysis of Bernoulli and Timoshenko beam theories for beams in different boundary conditions
Análise das teorias de viga de Bernoulli e Timoshenko para vigas em diferentes condições de contorno
title Analysis of Bernoulli and Timoshenko beam theories for beams in different boundary conditions
spellingShingle Analysis of Bernoulli and Timoshenko beam theories for beams in different boundary conditions
T. C. Silva
title_short Analysis of Bernoulli and Timoshenko beam theories for beams in different boundary conditions
title_full Analysis of Bernoulli and Timoshenko beam theories for beams in different boundary conditions
title_fullStr Analysis of Bernoulli and Timoshenko beam theories for beams in different boundary conditions
title_full_unstemmed Analysis of Bernoulli and Timoshenko beam theories for beams in different boundary conditions
title_sort Analysis of Bernoulli and Timoshenko beam theories for beams in different boundary conditions
author T. C. Silva
author_facet T. C. Silva
author_role author
dc.contributor.author.fl_str_mv T. C. Silva
description In this article, the structural behavior of beams is analyzed using the beam theories of Bernoulli and Timoshenko, changing the relationship between the span and the height of the cross section and varying the boundary condition of the structural element. The geometry of the structural elements analyzed were beams of rectangular section, it could be seen that for isostatic beams the effect of distortion due to shear (Timoshenko's theory) has little influence on the increase of displacements, in continuous beams this effect has a greater contribution, while for fixed ends beams this effect contributes significantly to the increase of displacements in the structure. Limit relationships of span size and cross-section height as a function of the boundary condition were proposed for the consideration of shear distortion.
publishDate 2022
dc.date.none.fl_str_mv 2022-12-20
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://doi.org/10.21814/ecum.4491
https://doi.org/10.21814/ecum.4491
url https://doi.org/10.21814/ecum.4491
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://revistas.uminho.pt/index.php/ecum/article/view/4491
https://revistas.uminho.pt/index.php/ecum/article/view/4491/4815
dc.rights.driver.fl_str_mv Direitos de Autor (c) 2022 T. C. Silva
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Direitos de Autor (c) 2022 T. C. Silva
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv CTAC
publisher.none.fl_str_mv CTAC
dc.source.none.fl_str_mv Engenharia Civil UM; N.º 62 (2022); 45-54
Engenharia Civil UM; No. 62 (2022); 45-54
2795-5982
0873-1152
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
_version_ 1799131536859070464

Registros relacionados