Cost optimization of singly and doubly reinforced concrete beams with EC2-2001

Detalhes bibliográficos
Autor(a) principal: Barros, M. H. F. M.
Data de Publicação: 2005
Outros Autores: Martins, R. A. F., Barros, A. F. M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/7621
https://doi.org/10.1007/s00158-005-0516-2
Resumo: A model for the optimal design of rectangular reinforced concrete sections is presented considering the stress–strain diagrams described in EC2-2001 and MC90. The following expressions are developed: economic bending moment; optimal area of steel and optimal steel ratio between upper and lower steel. All the expressions are in nondimensional form. The present model is applied to four different classes of concrete described in MC90. It is concluded that in nondimensional form the equations are nearly coincident for both singly and doubly reinforcement. It is also concluded that the ultimate strain for concrete in the compression zone, ecm, lies between the strain for peak stress ec1 and the ultimate strain ecu. This result is relevant once that the maximum moment is obtained for this value, and not the value ecu, as defined in EC2-2001. Cost optimization is implemented in the code and compared with other optimum models based on the ultimate design of ACI.
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spelling Cost optimization of singly and doubly reinforced concrete beams with EC2-2001A model for the optimal design of rectangular reinforced concrete sections is presented considering the stress–strain diagrams described in EC2-2001 and MC90. The following expressions are developed: economic bending moment; optimal area of steel and optimal steel ratio between upper and lower steel. All the expressions are in nondimensional form. The present model is applied to four different classes of concrete described in MC90. It is concluded that in nondimensional form the equations are nearly coincident for both singly and doubly reinforcement. It is also concluded that the ultimate strain for concrete in the compression zone, ecm, lies between the strain for peak stress ec1 and the ultimate strain ecu. This result is relevant once that the maximum moment is obtained for this value, and not the value ecu, as defined in EC2-2001. Cost optimization is implemented in the code and compared with other optimum models based on the ultimate design of ACI.2005info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/7621http://hdl.handle.net/10316/7621https://doi.org/10.1007/s00158-005-0516-2engStructural and Multidisciplinary Optimization. 30:3 (2005) 236-242Barros, M. H. F. M.Martins, R. A. F.Barros, A. F. M.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2020-05-29T09:42:17Zoai:estudogeral.uc.pt:10316/7621Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:57:14.972063Repositório 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 Cost optimization of singly and doubly reinforced concrete beams with EC2-2001
title Cost optimization of singly and doubly reinforced concrete beams with EC2-2001
spellingShingle Cost optimization of singly and doubly reinforced concrete beams with EC2-2001
Barros, M. H. F. M.
title_short Cost optimization of singly and doubly reinforced concrete beams with EC2-2001
title_full Cost optimization of singly and doubly reinforced concrete beams with EC2-2001
title_fullStr Cost optimization of singly and doubly reinforced concrete beams with EC2-2001
title_full_unstemmed Cost optimization of singly and doubly reinforced concrete beams with EC2-2001
title_sort Cost optimization of singly and doubly reinforced concrete beams with EC2-2001
author Barros, M. H. F. M.
author_facet Barros, M. H. F. M.
Martins, R. A. F.
Barros, A. F. M.
author_role author
author2 Martins, R. A. F.
Barros, A. F. M.
author2_role author
author
dc.contributor.author.fl_str_mv Barros, M. H. F. M.
Martins, R. A. F.
Barros, A. F. M.
description A model for the optimal design of rectangular reinforced concrete sections is presented considering the stress–strain diagrams described in EC2-2001 and MC90. The following expressions are developed: economic bending moment; optimal area of steel and optimal steel ratio between upper and lower steel. All the expressions are in nondimensional form. The present model is applied to four different classes of concrete described in MC90. It is concluded that in nondimensional form the equations are nearly coincident for both singly and doubly reinforcement. It is also concluded that the ultimate strain for concrete in the compression zone, ecm, lies between the strain for peak stress ec1 and the ultimate strain ecu. This result is relevant once that the maximum moment is obtained for this value, and not the value ecu, as defined in EC2-2001. Cost optimization is implemented in the code and compared with other optimum models based on the ultimate design of ACI.
publishDate 2005
dc.date.none.fl_str_mv 2005
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10316/7621
http://hdl.handle.net/10316/7621
https://doi.org/10.1007/s00158-005-0516-2
url http://hdl.handle.net/10316/7621
https://doi.org/10.1007/s00158-005-0516-2
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Structural and Multidisciplinary Optimization. 30:3 (2005) 236-242
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