Analysis relations between modulus of elasticity in compression, tension and in static bending of hardwoods
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Outros Autores: | , , , , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFMG |
Texto Completo: | https://doi.org/10.15376/biores.15.2.3278-3288 http://hdl.handle.net/1843/57022 https://orcid.org/0000-0001-8667-1718 https://orcid.org/0000-0003-3483-7506 https://orcid.org/0000-0002-5709-1965 https://orcid.org/0000-0001-9669-6820 https://orcid.org/0000-0002-6204-0206 https://orcid.org/0000-0003-3168-7055 https://orcid.org/0000-0002-3510-8498 https://orcid.org/0000-0002-4066-080X |
Resumo: | Accurate estimation of average modulus of elasticity in compression parallel to the grain (Ec0) is of paramount importance for rational sizing of timber structures, given the use of this property in the estimation of stability of compressed parts (ultimate limit state, ULS) and in calculation of excessive strains (serviceability limit state, SLS). In Brazil, if values cannot be experimentally determined, ABNT NBR 7190 (1997) allows for estimation of Ec0 through relations to average modulus of elasticity both in tension parallel to the grain (Et0) (Ec0 = Et0) and in bending (EM) (Ec0 = EM/0.90). This research aimed to access the efficiency of these relations by testing 30 tropical wood species. The analysis of variance results showed that Ec0 and Et0 were statistically equal. However, Ec0 and EM/0.90 were not statistically equal, and the method of least squares resulted in a coefficient of 0.98, which was 8.89% higher than the one suggested by ABNT NBR 7190 (1997) and close to 1, thus, validating the results of ANOVA, which pointed on the equivalence between Ec0 and EM (Ec0 = EM). As an alternative to simplified equations of the standard, two-parameter regression models were used. The geometric model with R² = 91.67% proved to be the model of best fit, which demonstrated that Ec0 could be calculated as a function of EM. |
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2023-07-26T17:25:24Z2023-07-26T17:25:24Z202015232783288https://doi.org/10.15376/biores.15.2.3278-32881930-2126http://hdl.handle.net/1843/57022https://orcid.org/0000-0001-8667-1718https://orcid.org/0000-0003-3483-7506https://orcid.org/0000-0002-5709-1965https://orcid.org/0000-0001-9669-6820https://orcid.org/0000-0002-6204-0206https://orcid.org/0000-0003-3168-7055https://orcid.org/0000-0002-3510-8498https://orcid.org/0000-0002-4066-080XAccurate estimation of average modulus of elasticity in compression parallel to the grain (Ec0) is of paramount importance for rational sizing of timber structures, given the use of this property in the estimation of stability of compressed parts (ultimate limit state, ULS) and in calculation of excessive strains (serviceability limit state, SLS). In Brazil, if values cannot be experimentally determined, ABNT NBR 7190 (1997) allows for estimation of Ec0 through relations to average modulus of elasticity both in tension parallel to the grain (Et0) (Ec0 = Et0) and in bending (EM) (Ec0 = EM/0.90). This research aimed to access the efficiency of these relations by testing 30 tropical wood species. The analysis of variance results showed that Ec0 and Et0 were statistically equal. However, Ec0 and EM/0.90 were not statistically equal, and the method of least squares resulted in a coefficient of 0.98, which was 8.89% higher than the one suggested by ABNT NBR 7190 (1997) and close to 1, thus, validating the results of ANOVA, which pointed on the equivalence between Ec0 and EM (Ec0 = EM). As an alternative to simplified equations of the standard, two-parameter regression models were used. The geometric model with R² = 91.67% proved to be the model of best fit, which demonstrated that Ec0 could be calculated as a function of EM.A estimativa precisa do módulo de elasticidade médio na compressão paralela às fibras (Ec0) é de suma importância para o dimensionamento racional de estruturas de madeira, haja vista a utilização dessa propriedade na estimativa da estabilidade de peças comprimidas (estado limite último, ULS) e na cálculo de deformações excessivas (estado limite de utilização, SLS). No Brasil, caso os valores não possam ser determinados experimentalmente, a ABNT NBR 7190 (1997) permite a estimativa de Ec0 por meio de relações com o módulo de elasticidade médio tanto na tração paralela ao grão (Et0) (Ec0 = Et0) quanto na flexão (EM) ( Ec0 = EM/0,90). Esta pesquisa teve como objetivo avaliar a eficiência dessas relações testando 30 espécies de madeira tropical. Os resultados da análise de variância mostraram que Ec0 e Et0 foram estatisticamente iguais. Porém, Ec0 e EM/0,90 não foram estatisticamente iguais, e o método dos mínimos quadrados resultou em um coeficiente de 0,98, que foi 8,89% maior que o sugerido pela ABNT NBR 7190 (1997) e próximo de 1, validando assim o resultados da ANOVA, que apontaram para a equivalência entre Ec0 e EM (Ec0 = EM). Como alternativa às equações simplificadas do padrão, foram utilizados modelos de regressão de dois parâmetros. O modelo geométrico com R² = 91,67% se mostrou o modelo de melhor ajuste, o que demonstrou que Ec0 pode ser calculado em função de EM.engUniversidade Federal de Minas GeraisUFMGBrasilENG - DEPARTAMENTO DE ENGENHARIA MATERIAIS E DA CONSTRUÇÃO CIVILBioResourcesMadeiraAnálise de regressãoTestes mecânicosMadeira - estruturasHardwoodRegression modelMechanical propertiesTimber structureAnalysis relations between modulus of elasticity in compression, tension and in static bending of hardwoodsRelações de análise entre módulo de elasticidade na compressão, tração e na flexão estática de madeiras nobresinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttps://bioresources.cnr.ncsu.edu/resources/analysis-of-relations-between-the-moduli-of-elasticity-in-compression-tension-and-static-bending-of-hardwoods/João Paulo Boff AlmeidaVinicius Borges de Moura AquinoAnderson Renato Vobornik WolenskiCristiane Inácio de CamposJúlio César MolinaEduardo ChahudFrancisco Antonio Rocco LahrAndré Luis Christoforoapplication/pdfinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFMGinstname:Universidade Federal de Minas Gerais (UFMG)instacron:UFMGLICENSELicense.txtLicense.txttext/plain; charset=utf-82042https://repositorio.ufmg.br/bitstream/1843/57022/1/License.txtfa505098d172de0bc8864fc1287ffe22MD51ORIGINALAnalysis of relations between the moduli of elasticity in compression, tension, and static bending of hardwoods.pdfAnalysis of relations between the moduli of elasticity in compression, tension, and static bending of hardwoods.pdfapplication/pdf389141https://repositorio.ufmg.br/bitstream/1843/57022/2/Analysis%20of%20relations%20between%20the%20moduli%20of%20elasticity%20in%20compression%2c%20tension%2c%20and%20static%20bending%20of%20hardwoods.pdf4f7f96bfa2a7a34099e03ed1a848d14eMD521843/570222023-07-26 14:25:24.737oai:repositorio.ufmg.br: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Repositório de PublicaçõesPUBhttps://repositorio.ufmg.br/oaiopendoar:2023-07-26T17:25:24Repositório Institucional da UFMG - Universidade Federal de Minas Gerais (UFMG)false |
dc.title.pt_BR.fl_str_mv |
Analysis relations between modulus of elasticity in compression, tension and in static bending of hardwoods |
dc.title.alternative.pt_BR.fl_str_mv |
Relações de análise entre módulo de elasticidade na compressão, tração e na flexão estática de madeiras nobres |
title |
Analysis relations between modulus of elasticity in compression, tension and in static bending of hardwoods |
spellingShingle |
Analysis relations between modulus of elasticity in compression, tension and in static bending of hardwoods João Paulo Boff Almeida Hardwood Regression model Mechanical properties Timber structure Madeira Análise de regressão Testes mecânicos Madeira - estruturas |
title_short |
Analysis relations between modulus of elasticity in compression, tension and in static bending of hardwoods |
title_full |
Analysis relations between modulus of elasticity in compression, tension and in static bending of hardwoods |
title_fullStr |
Analysis relations between modulus of elasticity in compression, tension and in static bending of hardwoods |
title_full_unstemmed |
Analysis relations between modulus of elasticity in compression, tension and in static bending of hardwoods |
title_sort |
Analysis relations between modulus of elasticity in compression, tension and in static bending of hardwoods |
author |
João Paulo Boff Almeida |
author_facet |
João Paulo Boff Almeida Vinicius Borges de Moura Aquino Anderson Renato Vobornik Wolenski Cristiane Inácio de Campos Júlio César Molina Eduardo Chahud Francisco Antonio Rocco Lahr André Luis Christoforo |
author_role |
author |
author2 |
Vinicius Borges de Moura Aquino Anderson Renato Vobornik Wolenski Cristiane Inácio de Campos Júlio César Molina Eduardo Chahud Francisco Antonio Rocco Lahr André Luis Christoforo |
author2_role |
author author author author author author author |
dc.contributor.author.fl_str_mv |
João Paulo Boff Almeida Vinicius Borges de Moura Aquino Anderson Renato Vobornik Wolenski Cristiane Inácio de Campos Júlio César Molina Eduardo Chahud Francisco Antonio Rocco Lahr André Luis Christoforo |
dc.subject.por.fl_str_mv |
Hardwood Regression model Mechanical properties Timber structure |
topic |
Hardwood Regression model Mechanical properties Timber structure Madeira Análise de regressão Testes mecânicos Madeira - estruturas |
dc.subject.other.pt_BR.fl_str_mv |
Madeira Análise de regressão Testes mecânicos Madeira - estruturas |
description |
Accurate estimation of average modulus of elasticity in compression parallel to the grain (Ec0) is of paramount importance for rational sizing of timber structures, given the use of this property in the estimation of stability of compressed parts (ultimate limit state, ULS) and in calculation of excessive strains (serviceability limit state, SLS). In Brazil, if values cannot be experimentally determined, ABNT NBR 7190 (1997) allows for estimation of Ec0 through relations to average modulus of elasticity both in tension parallel to the grain (Et0) (Ec0 = Et0) and in bending (EM) (Ec0 = EM/0.90). This research aimed to access the efficiency of these relations by testing 30 tropical wood species. The analysis of variance results showed that Ec0 and Et0 were statistically equal. However, Ec0 and EM/0.90 were not statistically equal, and the method of least squares resulted in a coefficient of 0.98, which was 8.89% higher than the one suggested by ABNT NBR 7190 (1997) and close to 1, thus, validating the results of ANOVA, which pointed on the equivalence between Ec0 and EM (Ec0 = EM). As an alternative to simplified equations of the standard, two-parameter regression models were used. The geometric model with R² = 91.67% proved to be the model of best fit, which demonstrated that Ec0 could be calculated as a function of EM. |
publishDate |
2020 |
dc.date.issued.fl_str_mv |
2020 |
dc.date.accessioned.fl_str_mv |
2023-07-26T17:25:24Z |
dc.date.available.fl_str_mv |
2023-07-26T17:25:24Z |
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 |
http://hdl.handle.net/1843/57022 |
dc.identifier.doi.pt_BR.fl_str_mv |
https://doi.org/10.15376/biores.15.2.3278-3288 |
dc.identifier.issn.pt_BR.fl_str_mv |
1930-2126 |
dc.identifier.orcid.pt_BR.fl_str_mv |
https://orcid.org/0000-0001-8667-1718 https://orcid.org/0000-0003-3483-7506 https://orcid.org/0000-0002-5709-1965 https://orcid.org/0000-0001-9669-6820 https://orcid.org/0000-0002-6204-0206 https://orcid.org/0000-0003-3168-7055 https://orcid.org/0000-0002-3510-8498 https://orcid.org/0000-0002-4066-080X |
url |
https://doi.org/10.15376/biores.15.2.3278-3288 http://hdl.handle.net/1843/57022 https://orcid.org/0000-0001-8667-1718 https://orcid.org/0000-0003-3483-7506 https://orcid.org/0000-0002-5709-1965 https://orcid.org/0000-0001-9669-6820 https://orcid.org/0000-0002-6204-0206 https://orcid.org/0000-0003-3168-7055 https://orcid.org/0000-0002-3510-8498 https://orcid.org/0000-0002-4066-080X |
identifier_str_mv |
1930-2126 |
dc.language.iso.fl_str_mv |
eng |
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eng |
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BioResources |
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openAccess |
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Universidade Federal de Minas Gerais |
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UFMG |
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Brasil |
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ENG - DEPARTAMENTO DE ENGENHARIA MATERIAIS E DA CONSTRUÇÃO CIVIL |
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Universidade Federal de Minas Gerais |
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