Uma revisão dos métodos clássicos de análise de placas

Detalhes bibliográficos
Autor(a) principal: Carvalho, Matheus Santos de
Data de Publicação: 2022
Tipo de documento: Trabalho de conclusão de curso
Idioma: por
Título da fonte: Repositório Institucional da UFS
Texto Completo: http://ri.ufs.br/jspui/handle/riufs/15845
Resumo: This work proposes a solution, based on linear fitting, to the problem of bending of thin plates with small deflections. The purpose of this solution is to make the programming and manual calculation of bending moments and deflections easier than classical method equations and calculation tables. Furthermore, this solution was restricted to uniformly loadded and rectangular plates with clamped or simply supported edges. The values to make the fit was obtained by programing the Levy classical method with MATLAB® and the results were close to the values given by Timoshenko e Goodier (1959). The linear ajustment was made using the same programmimg language and the shape fuction was a polynomial equation of 3 rd degree with 4 variables. Furthermore, the values obtained by programming were compared with the coefficients in the Chust and Figueiredo’s (2014) calculations table. It was verified that the tabulated values were not the maximums, because they were always obtained in the middle of the plate. Therefore, it was produced a calculation table for each kind of plate with the maximum values.
id UFS-2_ffcf3cdb29002124db639ef92514a809
oai_identifier_str oai:ufs.br:riufs/15845
network_acronym_str UFS-2
network_name_str Repositório Institucional da UFS
repository_id_str
spelling Carvalho, Matheus Santos deCosta, Jorge Carvalho2022-06-03T13:30:30Z2022-06-03T13:30:30Z2022-03-09Carvalho, Matheus Santos de. Uma revisão dos métodos clássicos de análise de placas. São Cristóvão, 2020. Monografia (Graduação em Engenharia Civil) – Departamento de Engenharia Civil, Centro de Ciências Exatas e Tecnologia, Universidade Federal de Sergipe, São Cristóvão, SE, 2020http://ri.ufs.br/jspui/handle/riufs/15845This work proposes a solution, based on linear fitting, to the problem of bending of thin plates with small deflections. The purpose of this solution is to make the programming and manual calculation of bending moments and deflections easier than classical method equations and calculation tables. Furthermore, this solution was restricted to uniformly loadded and rectangular plates with clamped or simply supported edges. The values to make the fit was obtained by programing the Levy classical method with MATLAB® and the results were close to the values given by Timoshenko e Goodier (1959). The linear ajustment was made using the same programmimg language and the shape fuction was a polynomial equation of 3 rd degree with 4 variables. Furthermore, the values obtained by programming were compared with the coefficients in the Chust and Figueiredo’s (2014) calculations table. It was verified that the tabulated values were not the maximums, because they were always obtained in the middle of the plate. Therefore, it was produced a calculation table for each kind of plate with the maximum values.Esse trabalho propõe uma solução, baseada em ajustes lineares, ao problema de flexão de placas finas com pequenos deslocamentos. A finalidade dessa solução consiste em facilitar a programação e o cálculo manual de valores de deflexão e de momentos fletores em relação às tabelas de cálculo e às equações dos métodos clássicos. Além disso, essa solução restringe-se a análise de placas retangulares com carregamento uniformemente distribuído e com bordas engastadas ou simplesmente apoiadas. Em relação aos valores utilizados para realizar o ajuste, eles foram obtidos por meio da programação do método clássico de Levy utilizando-se o MATLAB® e os resultados obtidos aproximaram-se bastante dos valores fornecidos por Timoshenko e Goodier (1959). Destaca-se que o ajuste linear também foi elaborado nessa linguagem de programação e que o formato da equação utilizada para esse ajuste consiste em uma função polinomial do 3° grau, com 4 parâmetros. Além disso, também se comparou os valores obtidos por meio da programação com as tabelas de cálculos disponibilizadas por Chust e Figueiredo (2014). Nesse sentido, foi verificado que os valores tabelados não correspondem necessariamente aos valores máximos, e sim aos valores obtidos para o centro da placa. Por esse motivo, também foi elaborado para cada tipo de placa uma tabela de cálculo com os valores máximos.São Cristóvão, SEporEngenharia CivilEnsino de engenharia civilTeoria clássica de placasPlacas retangulares finasTabelas de cálculoMomentos fletoresDeflexãoClassical theory of platesThin rectangular platesCalculation tablesBending momentsDeflectionsENGENHARIAS::ENGENHARIA CIVILUma revisão dos métodos clássicos de análise de placasinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/bachelorThesisUniversidade Federal de SergipeDEC - Departamento de Engenharia Civil – São Cristóvão - Presencialreponame:Repositório Institucional da UFSinstname:Universidade Federal de Sergipe (UFS)instacron:UFSinfo:eu-repo/semantics/openAccessORIGINALMatheus_Santos_Carvalho.pdfMatheus_Santos_Carvalho.pdfapplication/pdf3986096https://ri.ufs.br/jspui/bitstream/riufs/15845/2/Matheus_Santos_Carvalho.pdf16537d6e60492f40a0f2b9715b5eadf9MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81475https://ri.ufs.br/jspui/bitstream/riufs/15845/1/license.txt098cbbf65c2c15e1fb2e49c5d306a44cMD51TEXTMatheus_Santos_Carvalho.pdf.txtMatheus_Santos_Carvalho.pdf.txtExtracted texttext/plain138219https://ri.ufs.br/jspui/bitstream/riufs/15845/3/Matheus_Santos_Carvalho.pdf.txt99ae7bb375378f6503d66e20dfe9e1d8MD53THUMBNAILMatheus_Santos_Carvalho.pdf.jpgMatheus_Santos_Carvalho.pdf.jpgGenerated Thumbnailimage/jpeg1293https://ri.ufs.br/jspui/bitstream/riufs/15845/4/Matheus_Santos_Carvalho.pdf.jpg531d1fe1520a0b4b8cf42d85b2e72ce3MD54riufs/158452022-06-03 10:30:47.506oai:ufs.br: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Repositório InstitucionalPUBhttps://ri.ufs.br/oai/requestrepositorio@academico.ufs.bropendoar:2022-06-03T13:30:47Repositório Institucional da UFS - Universidade Federal de Sergipe (UFS)false
dc.title.pt_BR.fl_str_mv Uma revisão dos métodos clássicos de análise de placas
title Uma revisão dos métodos clássicos de análise de placas
spellingShingle Uma revisão dos métodos clássicos de análise de placas
Carvalho, Matheus Santos de
Engenharia Civil
Ensino de engenharia civil
Teoria clássica de placas
Placas retangulares finas
Tabelas de cálculo
Momentos fletores
Deflexão
Classical theory of plates
Thin rectangular plates
Calculation tables
Bending moments
Deflections
ENGENHARIAS::ENGENHARIA CIVIL
title_short Uma revisão dos métodos clássicos de análise de placas
title_full Uma revisão dos métodos clássicos de análise de placas
title_fullStr Uma revisão dos métodos clássicos de análise de placas
title_full_unstemmed Uma revisão dos métodos clássicos de análise de placas
title_sort Uma revisão dos métodos clássicos de análise de placas
author Carvalho, Matheus Santos de
author_facet Carvalho, Matheus Santos de
author_role author
dc.contributor.author.fl_str_mv Carvalho, Matheus Santos de
dc.contributor.advisor1.fl_str_mv Costa, Jorge Carvalho
contributor_str_mv Costa, Jorge Carvalho
dc.subject.por.fl_str_mv Engenharia Civil
Ensino de engenharia civil
Teoria clássica de placas
Placas retangulares finas
Tabelas de cálculo
Momentos fletores
Deflexão
topic Engenharia Civil
Ensino de engenharia civil
Teoria clássica de placas
Placas retangulares finas
Tabelas de cálculo
Momentos fletores
Deflexão
Classical theory of plates
Thin rectangular plates
Calculation tables
Bending moments
Deflections
ENGENHARIAS::ENGENHARIA CIVIL
dc.subject.eng.fl_str_mv Classical theory of plates
Thin rectangular plates
Calculation tables
Bending moments
Deflections
dc.subject.cnpq.fl_str_mv ENGENHARIAS::ENGENHARIA CIVIL
description This work proposes a solution, based on linear fitting, to the problem of bending of thin plates with small deflections. The purpose of this solution is to make the programming and manual calculation of bending moments and deflections easier than classical method equations and calculation tables. Furthermore, this solution was restricted to uniformly loadded and rectangular plates with clamped or simply supported edges. The values to make the fit was obtained by programing the Levy classical method with MATLAB® and the results were close to the values given by Timoshenko e Goodier (1959). The linear ajustment was made using the same programmimg language and the shape fuction was a polynomial equation of 3 rd degree with 4 variables. Furthermore, the values obtained by programming were compared with the coefficients in the Chust and Figueiredo’s (2014) calculations table. It was verified that the tabulated values were not the maximums, because they were always obtained in the middle of the plate. Therefore, it was produced a calculation table for each kind of plate with the maximum values.
publishDate 2022
dc.date.accessioned.fl_str_mv 2022-06-03T13:30:30Z
dc.date.available.fl_str_mv 2022-06-03T13:30:30Z
dc.date.issued.fl_str_mv 2022-03-09
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/bachelorThesis
format bachelorThesis
status_str publishedVersion
dc.identifier.citation.fl_str_mv Carvalho, Matheus Santos de. Uma revisão dos métodos clássicos de análise de placas. São Cristóvão, 2020. Monografia (Graduação em Engenharia Civil) – Departamento de Engenharia Civil, Centro de Ciências Exatas e Tecnologia, Universidade Federal de Sergipe, São Cristóvão, SE, 2020
dc.identifier.uri.fl_str_mv http://ri.ufs.br/jspui/handle/riufs/15845
identifier_str_mv Carvalho, Matheus Santos de. Uma revisão dos métodos clássicos de análise de placas. São Cristóvão, 2020. Monografia (Graduação em Engenharia Civil) – Departamento de Engenharia Civil, Centro de Ciências Exatas e Tecnologia, Universidade Federal de Sergipe, São Cristóvão, SE, 2020
url http://ri.ufs.br/jspui/handle/riufs/15845
dc.language.iso.fl_str_mv por
language por
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.initials.fl_str_mv Universidade Federal de Sergipe
dc.publisher.department.fl_str_mv DEC - Departamento de Engenharia Civil – São Cristóvão - Presencial
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFS
instname:Universidade Federal de Sergipe (UFS)
instacron:UFS
instname_str Universidade Federal de Sergipe (UFS)
instacron_str UFS
institution UFS
reponame_str Repositório Institucional da UFS
collection Repositório Institucional da UFS
bitstream.url.fl_str_mv https://ri.ufs.br/jspui/bitstream/riufs/15845/2/Matheus_Santos_Carvalho.pdf
https://ri.ufs.br/jspui/bitstream/riufs/15845/1/license.txt
https://ri.ufs.br/jspui/bitstream/riufs/15845/3/Matheus_Santos_Carvalho.pdf.txt
https://ri.ufs.br/jspui/bitstream/riufs/15845/4/Matheus_Santos_Carvalho.pdf.jpg
bitstream.checksum.fl_str_mv 16537d6e60492f40a0f2b9715b5eadf9
098cbbf65c2c15e1fb2e49c5d306a44c
99ae7bb375378f6503d66e20dfe9e1d8
531d1fe1520a0b4b8cf42d85b2e72ce3
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
MD5
repository.name.fl_str_mv Repositório Institucional da UFS - Universidade Federal de Sergipe (UFS)
repository.mail.fl_str_mv repositorio@academico.ufs.br
_version_ 1802110825960308736