Shear and longitudinal modulus of elasticity in Corymbia citriodora round timber beams

Detalhes bibliográficos
Autor(a) principal: Zangiácomo, André Luiz
Data de Publicação: 2013
Outros Autores: Christoforo, André Luis, Rocco Lahr, Francisco Antonio
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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spelling 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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