Shear and longitudinal modulus of elasticity in Corymbia citriodora round timber beams
Autor(a) principal: | |
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Data de Publicação: | 2013 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | por |
Título da fonte: | Vértices (Campos dos Goitacazes. Online) |
Texto Completo: | https://editoraessentia.iff.edu.br/index.php/vertices/article/view/1809-2667.20130006 |
Resumo: | This study aimed to evaluate, with the support of the three points static bending test, led nondestructively, the values of the shear (G) and longitudinal (E) modulus of elasticity in Corymbia citriodora structural round timber beams in order to verify the validity of the G=E/20 relationship established by the Brazilian standard ABNT NBR 7190:1997 (Design of Wood Structures). The specimens tested (20) have an average length of 750 cm, diameter of 30 cm, moisture content of 12% and 5% of average taper. There were two bending tests per element, with differences in the distances between supports. In the first trial, we used the L/D ratio between the length (L) and diameter (d) of the pieces equal to twenty-four, while the second was conducted in sequence, with L/d equal to fifteen. The elasticity modulus were obtained according to the successive use of the equation of Timoshenko’s beam theory, which takes into account the influence of the shear efforts to determine displacements. The results between the shear and longitudinal modulus of elasticity were related by the least squares method, the relationship G=E/56 was found, which demonstrates divergent results with the Brazilian standard for the structural round timber investigated. |
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Shear and longitudinal modulus of elasticity in Corymbia citriodora round timber beamsMódulos de elasticidade longitudinal e transversal em vigas roliças de madeira de Corymbia citriodoraStiffnessBendingBeams theoryLeast squares methodRigidezFlexãoTeoria de vigasMínimos quadradosThis study aimed to evaluate, with the support of the three points static bending test, led nondestructively, the values of the shear (G) and longitudinal (E) modulus of elasticity in Corymbia citriodora structural round timber beams in order to verify the validity of the G=E/20 relationship established by the Brazilian standard ABNT NBR 7190:1997 (Design of Wood Structures). The specimens tested (20) have an average length of 750 cm, diameter of 30 cm, moisture content of 12% and 5% of average taper. There were two bending tests per element, with differences in the distances between supports. In the first trial, we used the L/D ratio between the length (L) and diameter (d) of the pieces equal to twenty-four, while the second was conducted in sequence, with L/d equal to fifteen. The elasticity modulus were obtained according to the successive use of the equation of Timoshenko’s beam theory, which takes into account the influence of the shear efforts to determine displacements. The results between the shear and longitudinal modulus of elasticity were related by the least squares method, the relationship G=E/56 was found, which demonstrates divergent results with the Brazilian standard for the structural round timber investigated.Este trabalho objetivou avaliar, com o auxílio do ensaio de flexão estática a três pontos, conduzido de forma não destrutiva, os valores dos módulos de elasticidade longitudinal (E) e transversal (G) em peças roliças estruturais de madeira de Corymbia citriodora, de maneira a se verificar a validade da relação G=E/20 estabelecida pela norma brasileira ABNTNBR 7190:1997 (Projeto de Estruturas de Madeira). As peças testadas (20) possuem comprimento médio de 750 cm, diâmetro médio de 30 cm, teor de umidade de 12% e conicidade média de 5%. Foram realizados dois ensaios de flexão por peça, diferenciados apenas pelas distâncias entre os apoios. No primeiro ensaio, foi utilizada a relação (L/d) entre comprimento (L) e diâmetro (d) das peças igual a vinte e quatro, e no segundo, realizado na sequência, com L/digual a quinze. Os módulos de elasticidade foram obtidos de acordo com o emprego sucessivo da equação da teoria de vigas de Timoshenko, que leva em consideração a influência dos esforços cisalhantes no cálculo dos deslocamentos. Os resultados obtidos entre os módulos de elasticidade longitudinal e transversal foram relacionados pelo método dos mínimos quadrados, sendo encontrada a relação G=E/56, evidenciando, para as peças de madeira investigadas, a divergência de resultados com a norma brasileira.Instituto Federal de Educação, Ciência e Tecnologia Fluminense2013-07-24info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://editoraessentia.iff.edu.br/index.php/vertices/article/view/1809-2667.2013000610.5935/1809-2667.20130006Revista Vértices; Vol. 15 No. 1 (2013); 63-68Revista Vértices; Vol. 15 Núm. 1 (2013); 63-68Revista Vértices; v. 15 n. 1 (2013); 63-681809-26671415-2843reponame:Vértices (Campos dos Goitacazes. Online)instname:Centro Federal de Educação Tecnológica de Campos dos Goytacazesinstacron:IFFluminenseporhttps://editoraessentia.iff.edu.br/index.php/vertices/article/view/1809-2667.20130006/2738Zangiácomo, André LuizChristoforo, André LuisRocco Lahr, Francisco Antonioinfo:eu-repo/semantics/openAccess2022-02-14T14:45:24Zoai:ojs.editoraessentia.iff.edu.br:article/2739Revistahttps://essentiaeditora.iff.edu.br/index.php/vertices/PUBhttps://essentiaeditora.iff.edu.br/index.php/vertices/oaiessentia@iff.edu.br1809-26671415-2843opendoar:2022-02-14T14:45:24Vértices (Campos dos Goitacazes. Online) - Centro Federal de Educação Tecnológica de Campos dos Goytacazesfalse |
dc.title.none.fl_str_mv |
Shear and longitudinal modulus of elasticity in Corymbia citriodora round timber beams Módulos de elasticidade longitudinal e transversal em vigas roliças de madeira de Corymbia citriodora |
title |
Shear and longitudinal modulus of elasticity in Corymbia citriodora round timber beams |
spellingShingle |
Shear and longitudinal modulus of elasticity in Corymbia citriodora round timber beams Zangiácomo, André Luiz Stiffness Bending Beams theory Least squares method Rigidez Flexão Teoria de vigas Mínimos quadrados |
title_short |
Shear and longitudinal modulus of elasticity in Corymbia citriodora round timber beams |
title_full |
Shear and longitudinal modulus of elasticity in Corymbia citriodora round timber beams |
title_fullStr |
Shear and longitudinal modulus of elasticity in Corymbia citriodora round timber beams |
title_full_unstemmed |
Shear and longitudinal modulus of elasticity in Corymbia citriodora round timber beams |
title_sort |
Shear and longitudinal modulus of elasticity in Corymbia citriodora round timber beams |
author |
Zangiácomo, André Luiz |
author_facet |
Zangiácomo, André Luiz Christoforo, André Luis Rocco Lahr, Francisco Antonio |
author_role |
author |
author2 |
Christoforo, André Luis Rocco Lahr, Francisco Antonio |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Zangiácomo, André Luiz Christoforo, André Luis Rocco Lahr, Francisco Antonio |
dc.subject.por.fl_str_mv |
Stiffness Bending Beams theory Least squares method Rigidez Flexão Teoria de vigas Mínimos quadrados |
topic |
Stiffness Bending Beams theory Least squares method Rigidez Flexão Teoria de vigas Mínimos quadrados |
description |
This study aimed to evaluate, with the support of the three points static bending test, led nondestructively, the values of the shear (G) and longitudinal (E) modulus of elasticity in Corymbia citriodora structural round timber beams in order to verify the validity of the G=E/20 relationship established by the Brazilian standard ABNT NBR 7190:1997 (Design of Wood Structures). The specimens tested (20) have an average length of 750 cm, diameter of 30 cm, moisture content of 12% and 5% of average taper. There were two bending tests per element, with differences in the distances between supports. In the first trial, we used the L/D ratio between the length (L) and diameter (d) of the pieces equal to twenty-four, while the second was conducted in sequence, with L/d equal to fifteen. The elasticity modulus were obtained according to the successive use of the equation of Timoshenko’s beam theory, which takes into account the influence of the shear efforts to determine displacements. The results between the shear and longitudinal modulus of elasticity were related by the least squares method, the relationship G=E/56 was found, which demonstrates divergent results with the Brazilian standard for the structural round timber investigated. |
publishDate |
2013 |
dc.date.none.fl_str_mv |
2013-07-24 |
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://editoraessentia.iff.edu.br/index.php/vertices/article/view/1809-2667.20130006 10.5935/1809-2667.20130006 |
url |
https://editoraessentia.iff.edu.br/index.php/vertices/article/view/1809-2667.20130006 |
identifier_str_mv |
10.5935/1809-2667.20130006 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.none.fl_str_mv |
https://editoraessentia.iff.edu.br/index.php/vertices/article/view/1809-2667.20130006/2738 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Instituto Federal de Educação, Ciência e Tecnologia Fluminense |
publisher.none.fl_str_mv |
Instituto Federal de Educação, Ciência e Tecnologia Fluminense |
dc.source.none.fl_str_mv |
Revista Vértices; Vol. 15 No. 1 (2013); 63-68 Revista Vértices; Vol. 15 Núm. 1 (2013); 63-68 Revista Vértices; v. 15 n. 1 (2013); 63-68 1809-2667 1415-2843 reponame:Vértices (Campos dos Goitacazes. Online) instname:Centro Federal de Educação Tecnológica de Campos dos Goytacazes instacron:IFFluminense |
instname_str |
Centro Federal de Educação Tecnológica de Campos dos Goytacazes |
instacron_str |
IFFluminense |
institution |
IFFluminense |
reponame_str |
Vértices (Campos dos Goitacazes. Online) |
collection |
Vértices (Campos dos Goitacazes. Online) |
repository.name.fl_str_mv |
Vértices (Campos dos Goitacazes. Online) - Centro Federal de Educação Tecnológica de Campos dos Goytacazes |
repository.mail.fl_str_mv |
essentia@iff.edu.br |
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1797077560965726208 |