SEMI-ANALYTICAL APPROACH FOR ELASTOPLASTIC ANALYSIS OF STEEL BEAMS
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Revista Interdisciplinar de Pesquisa em Engenharia |
Texto Completo: | https://periodicos.unb.br/index.php/ripe/article/view/20855 |
Resumo: | The stress and displacement analysis is necessary to design and build efficiently any structure. In general, the current accepted procedures to design steel beams admit the linearelastic material behavior and are based on the assumptions adopted by the Euler-Bernoulli beam theory. However, it is critical to predict the behavior of the structural elements under plastic deformation, in order to understand the failure modes and the plastic hinges formation in steel beams. Accordingly, this paper proposes a theoretical procedure to evaluate stresses and displacements in steel beams under elastoplastic deformation, assuming the kinematic assumptions of the Euler-Bernoulli beam theory. Moreover, an iterative-incremental procedure based on the reformulated Prandtl-Reuss equations proposed by Mendelson is employed to compute the plastic strains, in the context of a secant or total elastoplastic formulation. In order to verify the proposed approach, its results are compared with those ones obtained by the finite element method analysis. This comparison demonstrates the effectiveness of the proposed model, and shows the possibility to realize more realistic and sophisticated analysis of steel beams using this approach. |
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SEMI-ANALYTICAL APPROACH FOR ELASTOPLASTIC ANALYSIS OF STEEL BEAMSSteel beams. Euler-Bernoulli beam theory. Elastoplastic analysis. Theory of plasticity. Reformulated Prandtl-Reuss equations.The stress and displacement analysis is necessary to design and build efficiently any structure. In general, the current accepted procedures to design steel beams admit the linearelastic material behavior and are based on the assumptions adopted by the Euler-Bernoulli beam theory. However, it is critical to predict the behavior of the structural elements under plastic deformation, in order to understand the failure modes and the plastic hinges formation in steel beams. Accordingly, this paper proposes a theoretical procedure to evaluate stresses and displacements in steel beams under elastoplastic deformation, assuming the kinematic assumptions of the Euler-Bernoulli beam theory. Moreover, an iterative-incremental procedure based on the reformulated Prandtl-Reuss equations proposed by Mendelson is employed to compute the plastic strains, in the context of a secant or total elastoplastic formulation. In order to verify the proposed approach, its results are compared with those ones obtained by the finite element method analysis. This comparison demonstrates the effectiveness of the proposed model, and shows the possibility to realize more realistic and sophisticated analysis of steel beams using this approach. Programa de Pós-Graduação em Integridade de Materiais da Engenharia2017-02-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.unb.br/index.php/ripe/article/view/2085510.26512/ripe.v2i25.20855Revista Interdisciplinar de Pesquisa em Engenharia; Vol. 2 No. 25 (2016): UNDERGRADUATE POSTER SESSION (I); 138-147Revista Interdisciplinar de Pesquisa em Engenharia; v. 2 n. 25 (2016): UNDERGRADUATE POSTER SESSION (I); 138-1472447-6102reponame:Revista Interdisciplinar de Pesquisa em Engenhariainstname:Universidade de Brasília (UnB)instacron:UNBenghttps://periodicos.unb.br/index.php/ripe/article/view/20855/19225Copyright (c) 2018 Revista Interdisciplinar de Pesquisa em Engenharia - RIPEinfo:eu-repo/semantics/openAccessSantos, Daone da SilvaCavalcante, Márcio André Araújo2019-06-18T14:55:43Zoai:ojs.pkp.sfu.ca:article/20855Revistahttps://periodicos.unb.br/index.php/ripePUBhttps://periodicos.unb.br/index.php/ripe/oaianflor@unb.br2447-61022447-6102opendoar:2019-06-18T14:55:43Revista Interdisciplinar de Pesquisa em Engenharia - Universidade de Brasília (UnB)false |
dc.title.none.fl_str_mv |
SEMI-ANALYTICAL APPROACH FOR ELASTOPLASTIC ANALYSIS OF STEEL BEAMS |
title |
SEMI-ANALYTICAL APPROACH FOR ELASTOPLASTIC ANALYSIS OF STEEL BEAMS |
spellingShingle |
SEMI-ANALYTICAL APPROACH FOR ELASTOPLASTIC ANALYSIS OF STEEL BEAMS Santos, Daone da Silva Steel beams. Euler-Bernoulli beam theory. Elastoplastic analysis. Theory of plasticity. Reformulated Prandtl-Reuss equations. |
title_short |
SEMI-ANALYTICAL APPROACH FOR ELASTOPLASTIC ANALYSIS OF STEEL BEAMS |
title_full |
SEMI-ANALYTICAL APPROACH FOR ELASTOPLASTIC ANALYSIS OF STEEL BEAMS |
title_fullStr |
SEMI-ANALYTICAL APPROACH FOR ELASTOPLASTIC ANALYSIS OF STEEL BEAMS |
title_full_unstemmed |
SEMI-ANALYTICAL APPROACH FOR ELASTOPLASTIC ANALYSIS OF STEEL BEAMS |
title_sort |
SEMI-ANALYTICAL APPROACH FOR ELASTOPLASTIC ANALYSIS OF STEEL BEAMS |
author |
Santos, Daone da Silva |
author_facet |
Santos, Daone da Silva Cavalcante, Márcio André Araújo |
author_role |
author |
author2 |
Cavalcante, Márcio André Araújo |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Santos, Daone da Silva Cavalcante, Márcio André Araújo |
dc.subject.por.fl_str_mv |
Steel beams. Euler-Bernoulli beam theory. Elastoplastic analysis. Theory of plasticity. Reformulated Prandtl-Reuss equations. |
topic |
Steel beams. Euler-Bernoulli beam theory. Elastoplastic analysis. Theory of plasticity. Reformulated Prandtl-Reuss equations. |
description |
The stress and displacement analysis is necessary to design and build efficiently any structure. In general, the current accepted procedures to design steel beams admit the linearelastic material behavior and are based on the assumptions adopted by the Euler-Bernoulli beam theory. However, it is critical to predict the behavior of the structural elements under plastic deformation, in order to understand the failure modes and the plastic hinges formation in steel beams. Accordingly, this paper proposes a theoretical procedure to evaluate stresses and displacements in steel beams under elastoplastic deformation, assuming the kinematic assumptions of the Euler-Bernoulli beam theory. Moreover, an iterative-incremental procedure based on the reformulated Prandtl-Reuss equations proposed by Mendelson is employed to compute the plastic strains, in the context of a secant or total elastoplastic formulation. In order to verify the proposed approach, its results are compared with those ones obtained by the finite element method analysis. This comparison demonstrates the effectiveness of the proposed model, and shows the possibility to realize more realistic and sophisticated analysis of steel beams using this approach. |
publishDate |
2017 |
dc.date.none.fl_str_mv |
2017-02-08 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
https://periodicos.unb.br/index.php/ripe/article/view/20855 10.26512/ripe.v2i25.20855 |
url |
https://periodicos.unb.br/index.php/ripe/article/view/20855 |
identifier_str_mv |
10.26512/ripe.v2i25.20855 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
https://periodicos.unb.br/index.php/ripe/article/view/20855/19225 |
dc.rights.driver.fl_str_mv |
Copyright (c) 2018 Revista Interdisciplinar de Pesquisa em Engenharia - RIPE info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Copyright (c) 2018 Revista Interdisciplinar de Pesquisa em Engenharia - RIPE |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Programa de Pós-Graduação em Integridade de Materiais da Engenharia |
publisher.none.fl_str_mv |
Programa de Pós-Graduação em Integridade de Materiais da Engenharia |
dc.source.none.fl_str_mv |
Revista Interdisciplinar de Pesquisa em Engenharia; Vol. 2 No. 25 (2016): UNDERGRADUATE POSTER SESSION (I); 138-147 Revista Interdisciplinar de Pesquisa em Engenharia; v. 2 n. 25 (2016): UNDERGRADUATE POSTER SESSION (I); 138-147 2447-6102 reponame:Revista Interdisciplinar de Pesquisa em Engenharia instname:Universidade de Brasília (UnB) instacron:UNB |
instname_str |
Universidade de Brasília (UnB) |
instacron_str |
UNB |
institution |
UNB |
reponame_str |
Revista Interdisciplinar de Pesquisa em Engenharia |
collection |
Revista Interdisciplinar de Pesquisa em Engenharia |
repository.name.fl_str_mv |
Revista Interdisciplinar de Pesquisa em Engenharia - Universidade de Brasília (UnB) |
repository.mail.fl_str_mv |
anflor@unb.br |
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1798315225307414528 |