Otimização multiobjetivo no projeto de lajes mistas de aço e concreto

Detalhes bibliográficos
Ano de defesa: 2025
Autor(a) principal: Silva, Isabela Oliveira Maia da
Orientador(a): Calenzani, Adenilcia Fernanda Grobério lattes
Banca de defesa: Dias, João Victor Fragoso lattes, Kripka, Moacir lattes
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Universidade Federal do Espírito Santo
Mestrado em Engenharia Civil
Programa de Pós-Graduação: Programa de Pós-Graduação em Engenharia Civil
Departamento: Centro Tecnológico
País: BR
Palavras-chave em Português:
Área do conhecimento CNPq:
Link de acesso: http://repositorio.ufes.br/handle/10/20601
Resumo: The composite steel and concrete slabs have been used as a more economical and sustainable structural alternative since they offer advantages that outweigh other structural systems. Dispensing with formwork and shoring, high construction speed, and reduction in concrete and tensile reinforcement consumption are advantageous features of composite slabs. In this context, the aim of this study is to present the formulation of a multi-objective problem for composite slabs, considering the minimization of CO₂ emissions and final costs, as well as the maximization of load capacity. The design constraints followed the prescriptions of Brazilian standards for both construction and service phases. For the initial phase (before concrete curing), the design consists of verifying the steel formwork supporting the applied loads alone, using the Effective Width Method (EWM) as prescribed by ABNT 14762:2010. For the service phase (after concrete curing), the design was based on ABNT NBR 8800:2024, considering the composite steel system resisting the slab loads. To solve the optimization problem, the MOPSO (Multi-Objective Particle Swarm Optimization) algorithm was used to generate and analyze results through Pareto Fronts. For program validation, a verification of the cataloged slabs was conducted, maintaining their geometric and material properties, and investigating the possibility of loads exceeding those specified in the manufacturer's tables. Solutions were presented that are capable of supporting up to 1.54 times the load indicated by the manufacturer. The formulation was validated using problems from the literature, and an analysis of manufacturer-proposed solutions for different spans was conducted. Additionally, an equation was proposed to relate CO₂ emissions to cost. The results indicate that MOPSO was efficient in finding optimal solutions, yielding results very close to those in the literature using single objective formulations. With the proposed formulation, solutions were achieved with up to 2.4 times the design load proposed in catalogs, and up to 35% lower CO₂ emissions and 30% lower cost due to additional reinforcement. Moreover, solutions were obtained for spans exceeding the maximum limits provided by manufacturers by using concrete with compressive strength greater than 30 MPa. According to the results, the problem constraints are: verification of the steel formwork for bending moments before concrete curing, and verification of the composite section for longitudinal shear after curing
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spelling Alves, Élcio Cassimirohttps://orcid.org/0000-0001-6971-2645http://lattes.cnpq.br/6509450210637509Calenzani, Adenilcia Fernanda Grobério https://orcid.org/0000-0002-0936-9950http://lattes.cnpq.br/9959808218883879Silva, Isabela Oliveira Maia dahttps://orcid.org/0009-0003-0976-9510 http://lattes.cnpq.br/2866501864088026Dias, João Victor Fragosohttps://orcid.org/0000-0003-1455-1519http://lattes.cnpq.br/0090215976146284Kripka, Moacirhttps://orcid.org/0000-0002-1997-3414http://lattes.cnpq.br/75542335209869972025-11-11T15:06:22Z2025-11-11T15:06:22Z2025-08-14The composite steel and concrete slabs have been used as a more economical and sustainable structural alternative since they offer advantages that outweigh other structural systems. Dispensing with formwork and shoring, high construction speed, and reduction in concrete and tensile reinforcement consumption are advantageous features of composite slabs. In this context, the aim of this study is to present the formulation of a multi-objective problem for composite slabs, considering the minimization of CO₂ emissions and final costs, as well as the maximization of load capacity. The design constraints followed the prescriptions of Brazilian standards for both construction and service phases. For the initial phase (before concrete curing), the design consists of verifying the steel formwork supporting the applied loads alone, using the Effective Width Method (EWM) as prescribed by ABNT 14762:2010. For the service phase (after concrete curing), the design was based on ABNT NBR 8800:2024, considering the composite steel system resisting the slab loads. To solve the optimization problem, the MOPSO (Multi-Objective Particle Swarm Optimization) algorithm was used to generate and analyze results through Pareto Fronts. For program validation, a verification of the cataloged slabs was conducted, maintaining their geometric and material properties, and investigating the possibility of loads exceeding those specified in the manufacturer's tables. Solutions were presented that are capable of supporting up to 1.54 times the load indicated by the manufacturer. The formulation was validated using problems from the literature, and an analysis of manufacturer-proposed solutions for different spans was conducted. Additionally, an equation was proposed to relate CO₂ emissions to cost. The results indicate that MOPSO was efficient in finding optimal solutions, yielding results very close to those in the literature using single objective formulations. With the proposed formulation, solutions were achieved with up to 2.4 times the design load proposed in catalogs, and up to 35% lower CO₂ emissions and 30% lower cost due to additional reinforcement. Moreover, solutions were obtained for spans exceeding the maximum limits provided by manufacturers by using concrete with compressive strength greater than 30 MPa. According to the results, the problem constraints are: verification of the steel formwork for bending moments before concrete curing, and verification of the composite section for longitudinal shear after curingAs lajes mistas de aço e concreto têm sido utilizadas como uma alternativa estrutural mais econômica e sustentável uma vez que possuem vantagens que sobrepõem a outros sistemas estruturais. Dispensa de escoramentos e formas, alta velocidade de construção e redução do consumo de concreto e de armadura de tração são itens vantajosos das lajes mistas. Nesse contexto, este estudo tem como objetivo apresentar a formulação de um problema multiobjetivo para lajes mistas, considerando a minimização das emissões de CO2 e dos custos finais, bem como a maximização da capacidade de carga. As restrições de projeto consideradas seguiram as prescrições das normas brasileiras para as fases de construção e de serviço. Para a fase inicial (antes da cura do concreto) o dimensionamento resume-se à verificação da forma de aço suportando isoladamente os carregamentos atuantes, utilizando o Método da Largura Efetiva (MLE) preconizado pela ABNT 14762:2010. Para a fase de utilização (depois da cura do concreto), o dimensionamento foi definido a partir da ABNT NBR 8800:2024 considerando o sistema misto de aço resistente aos carregamentos na laje. Para resolver o problema de otimização foi utilizado o algoritmo MOPSO (Multiobjective Particle Swarm Optimization) para gerar e analisar os resultados a partir das fronteiras de Pareto. Para validação do programa, foi feita uma verificação das lajes catalogadas mantendo as características geométricas e de material e investigando a possibilidade de cargas superiores àquelas apresentadas nas tabelas do fabricante, apresentando soluções capazes de suportar até 1,54 vezes o carregamento indicado pelo fabricante. Em seguida, a formulação do MOPSO foi validada com base em um problema da literatura e foi feita uma análise de soluções propostas por fabricante de forma de aço para diferentes vãos. Além disso, foi proposta uma equação que relaciona as emissões de CO2 com o custo. Os resultados indicam que o MOPSO foi eficiente na busca por soluções ótimas, apresentando resultados muito próximos aos da literatura em que se usou formulação monoobjetivo. Com a formulação proposta, foram obtidas soluções capazes de suportar até 2,4 vezes a carga sobreposta indicada no catálogo do fabricante, com redução de até 35% nas emissões de CO₂ e 30% no custo, devido ao uso de armaduras adicionais. Além disso, foram obtidas soluções para vãos superiores ao limite máximo fornecido pelos fabricantes utilizando concretos com resistência à compressão superior a 30 MPa. Segundo os resultados, as restrições que governaram o problema foram: a verificação da forma de aço quanto aos momentos fletores antes da cura do concreto e a verificação da seção mista quanto ao cisalhamento longitudinal.Texthttp://repositorio.ufes.br/handle/10/20601porptUniversidade Federal do Espírito SantoMestrado em Engenharia CivilPrograma de Pós-Graduação em Engenharia CivilUFESBRCentro Tecnológicohttps://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessEngenharia CivilOtimização multiobjetivoLajes mistas de aço e concretoFormas de açoEmissão de CO2.CustoCapacidade de cargaComposite steel and concrete slabsSteel formsMultiobjective optimizationCO2 emissionsCostsLoad capacityOtimização multiobjetivo no projeto de lajes mistas de aço e concreto info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisreponame:Repositório Institucional da Universidade Federal do Espírito Santo (riUfes)instname:Universidade Federal do Espírito Santo (UFES)instacron:UFESORIGINALIsabelaOliveiraMaiadaSilva-2025-dissertacao.pdfIsabelaOliveiraMaiadaSilva-2025-dissertacao.pdfapplication/pdf3422935http://repositorio.ufes.br/bitstreams/9fc290e6-4418-4298-bf14-a7a1b60cb353/downloadf27d641fb43a226304fa98a696b7a486MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748http://repositorio.ufes.br/bitstreams/05753791-01ff-4d18-9c36-dbf5ea133f3f/download8a4605be74aa9ea9d79846c1fba20a33MD5210/206012025-11-11 19:56:24.025https://creativecommons.org/licenses/by/4.0/open accessoai:repositorio.ufes.br:10/20601http://repositorio.ufes.brRepositório InstitucionalPUBhttp://repositorio.ufes.br/oai/requestriufes@ufes.bropendoar:21082025-11-11T19:56:24Repositório Institucional da Universidade Federal do Espírito Santo (riUfes) - Universidade Federal do Espírito Santo (UFES)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
dc.title.none.fl_str_mv Otimização multiobjetivo no projeto de lajes mistas de aço e concreto
title Otimização multiobjetivo no projeto de lajes mistas de aço e concreto
spellingShingle Otimização multiobjetivo no projeto de lajes mistas de aço e concreto
Silva, Isabela Oliveira Maia da
Engenharia Civil
Otimização multiobjetivo
Lajes mistas de aço e concreto
Formas de aço
Emissão de CO2.
Custo
Capacidade de carga
Composite steel and concrete slabs
Steel forms
Multiobjective optimization
CO2 emissions
Costs
Load capacity
title_short Otimização multiobjetivo no projeto de lajes mistas de aço e concreto
title_full Otimização multiobjetivo no projeto de lajes mistas de aço e concreto
title_fullStr Otimização multiobjetivo no projeto de lajes mistas de aço e concreto
title_full_unstemmed Otimização multiobjetivo no projeto de lajes mistas de aço e concreto
title_sort Otimização multiobjetivo no projeto de lajes mistas de aço e concreto
author Silva, Isabela Oliveira Maia da
author_facet Silva, Isabela Oliveira Maia da
author_role author
dc.contributor.authorID.none.fl_str_mv https://orcid.org/0009-0003-0976-9510
dc.contributor.authorLattes.none.fl_str_mv http://lattes.cnpq.br/2866501864088026
dc.contributor.advisor-co1.fl_str_mv Alves, Élcio Cassimiro
dc.contributor.advisor-co1ID.fl_str_mv https://orcid.org/0000-0001-6971-2645
dc.contributor.advisor-co1Lattes.fl_str_mv http://lattes.cnpq.br/6509450210637509
dc.contributor.advisor1.fl_str_mv Calenzani, Adenilcia Fernanda Grobério
dc.contributor.advisor1ID.fl_str_mv https://orcid.org/0000-0002-0936-9950
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/9959808218883879
dc.contributor.author.fl_str_mv Silva, Isabela Oliveira Maia da
dc.contributor.referee1.fl_str_mv Dias, João Victor Fragoso
dc.contributor.referee1ID.fl_str_mv https://orcid.org/0000-0003-1455-1519
dc.contributor.referee1Lattes.fl_str_mv http://lattes.cnpq.br/0090215976146284
dc.contributor.referee2.fl_str_mv Kripka, Moacir
dc.contributor.referee2ID.fl_str_mv https://orcid.org/0000-0002-1997-3414
dc.contributor.referee2Lattes.fl_str_mv http://lattes.cnpq.br/7554233520986997
contributor_str_mv Alves, Élcio Cassimiro
Calenzani, Adenilcia Fernanda Grobério
Dias, João Victor Fragoso
Kripka, Moacir
dc.subject.cnpq.fl_str_mv Engenharia Civil
topic Engenharia Civil
Otimização multiobjetivo
Lajes mistas de aço e concreto
Formas de aço
Emissão de CO2.
Custo
Capacidade de carga
Composite steel and concrete slabs
Steel forms
Multiobjective optimization
CO2 emissions
Costs
Load capacity
dc.subject.por.fl_str_mv Otimização multiobjetivo
Lajes mistas de aço e concreto
Formas de aço
Emissão de CO2.
Custo
Capacidade de carga
Composite steel and concrete slabs
Steel forms
Multiobjective optimization
CO2 emissions
Costs
Load capacity
description The composite steel and concrete slabs have been used as a more economical and sustainable structural alternative since they offer advantages that outweigh other structural systems. Dispensing with formwork and shoring, high construction speed, and reduction in concrete and tensile reinforcement consumption are advantageous features of composite slabs. In this context, the aim of this study is to present the formulation of a multi-objective problem for composite slabs, considering the minimization of CO₂ emissions and final costs, as well as the maximization of load capacity. The design constraints followed the prescriptions of Brazilian standards for both construction and service phases. For the initial phase (before concrete curing), the design consists of verifying the steel formwork supporting the applied loads alone, using the Effective Width Method (EWM) as prescribed by ABNT 14762:2010. For the service phase (after concrete curing), the design was based on ABNT NBR 8800:2024, considering the composite steel system resisting the slab loads. To solve the optimization problem, the MOPSO (Multi-Objective Particle Swarm Optimization) algorithm was used to generate and analyze results through Pareto Fronts. For program validation, a verification of the cataloged slabs was conducted, maintaining their geometric and material properties, and investigating the possibility of loads exceeding those specified in the manufacturer's tables. Solutions were presented that are capable of supporting up to 1.54 times the load indicated by the manufacturer. The formulation was validated using problems from the literature, and an analysis of manufacturer-proposed solutions for different spans was conducted. Additionally, an equation was proposed to relate CO₂ emissions to cost. The results indicate that MOPSO was efficient in finding optimal solutions, yielding results very close to those in the literature using single objective formulations. With the proposed formulation, solutions were achieved with up to 2.4 times the design load proposed in catalogs, and up to 35% lower CO₂ emissions and 30% lower cost due to additional reinforcement. Moreover, solutions were obtained for spans exceeding the maximum limits provided by manufacturers by using concrete with compressive strength greater than 30 MPa. According to the results, the problem constraints are: verification of the steel formwork for bending moments before concrete curing, and verification of the composite section for longitudinal shear after curing
publishDate 2025
dc.date.accessioned.fl_str_mv 2025-11-11T15:06:22Z
dc.date.available.fl_str_mv 2025-11-11T15:06:22Z
dc.date.issued.fl_str_mv 2025-08-14
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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dc.publisher.none.fl_str_mv Universidade Federal do Espírito Santo
Mestrado em Engenharia Civil
dc.publisher.program.fl_str_mv Programa de Pós-Graduação em Engenharia Civil
dc.publisher.initials.fl_str_mv UFES
dc.publisher.country.fl_str_mv BR
dc.publisher.department.fl_str_mv Centro Tecnológico
publisher.none.fl_str_mv Universidade Federal do Espírito Santo
Mestrado em Engenharia Civil
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