Structural behavior of timber beams with a modulus of elasticity represented by a random field

Autores
García, Diego Alberto; Piter, Juan Carlos Jesús; Escalante, Mario Raúl; Rosales, Marta Beatriz
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión aceptada
Descripción
A stochastic model of the structural behavior of a Eucalyptus grandis timber beam is herein presented. Three strength classes obtained according to the the criterion of the Argentinean standard IRAM 9662-2:2006 are studied. The Modulus of Elasticity (MOE) is considered as a random field. The MOE uncertainties are quantified in the beam deflection and the random field is given by a gamma probability density function (PDF) and an exponential correlation function. Experimental data obtained from bending tests performed with 349 sawn beams of Argentinean Eucalyptus grandis are employed to find the PDF parameters. Statistical results of the deflection are reported for the case of pure bending of a simply supported beam. Focus is made on the central deflection. The methodology was previously verified comparing with some results published by other authors. The influence of the correlation length is assessed for limiting and intermediate cases. The problem is solved by a discretization with a finite element model and the Nataf transform is employed in order to generate and simulate the random field. Additionally, the random field is discretized by means of the Midpoint Method. Numerical results are obtained by means of Monte Carlo simulations and previously a convergence study was carried out to determine the number of realizations that gives a reasonable accuracy. The PDF and cumulative distribution function (CDF) of the central deflection allows obtaining statistical estimates. As a particular case, the homogeneous model with the MOE assumed as a random variable is studied with some detail. The propagation is made analytically and the explicit PDF of the central deflection is obtained. Since wood is a material with very variable mechanical properties, assuming the MOE as a random field contributes to attain a more realistic structural model. In particular, the study of the correlation length variability also provides a larger amount of information about the range of the response. It should be noted that within the standard code in use, the MOE is eventually modeled as a random variable and not as a random field. It is shown that the MOE modeled as a random variable constitutes a more conservative approach.
Fil: García, Diego Alberto. Universidad Tecnológica Nacional. Facultad Regional Concepción del Uruguay. Departamento Ingeniería Civil. Grupo de Estudio de Maderas; Argentina.
Fil: Piter, Juan Carlos Jesús. Universidad Tecnológica Nacional. Facultad Regional Concepción del Uruguay. Departamento Ingeniería Civil. Grupo de Estudio de Maderas; Argentina.
Fil: Escalante, Mario Raúl. Universidad Tecnológica Nacional. Facultad Regional Concepción del Uruguay. Departamento Ingeniería Civil. Grupo de Estudio de Maderas; Argentina.
Fil: Rosales, Marta Beatriz. Universidad Nacional del Sur; Argentina.
Peer Reviewed
Materia
Random field
Modulus of elasticity
Timber beams
Midspan deflection
Nivel de accesibilidad
acceso abierto
Condiciones de uso
2021-01-18T20:47:19Z
Repositorio
Repositorio Institucional Abierto (UTN)
Institución
Universidad Tecnológica Nacional
OAI Identificador
oai:ria.utn.edu.ar:20.500.12272/4725
Acceder
id RIAUTN_ab63d9a2215dbadba3f67919735402fd
oai_identifier_str oai:ria.utn.edu.ar:20.500.12272/4725
network_acronym_str RIAUTN
repository_id_str a
network_name_str Repositorio Institucional Abierto (UTN)
spelling Structural behavior of timber beams with a modulus of elasticity represented by a random fieldGarcía, Diego AlbertoPiter, Juan Carlos JesúsEscalante, Mario RaúlRosales, Marta BeatrizRandom fieldModulus of elasticityTimber beamsMidspan deflectionA stochastic model of the structural behavior of a Eucalyptus grandis timber beam is herein presented. Three strength classes obtained according to the the criterion of the Argentinean standard IRAM 9662-2:2006 are studied. The Modulus of Elasticity (MOE) is considered as a random field. The MOE uncertainties are quantified in the beam deflection and the random field is given by a gamma probability density function (PDF) and an exponential correlation function. Experimental data obtained from bending tests performed with 349 sawn beams of Argentinean Eucalyptus grandis are employed to find the PDF parameters. Statistical results of the deflection are reported for the case of pure bending of a simply supported beam. Focus is made on the central deflection. The methodology was previously verified comparing with some results published by other authors. The influence of the correlation length is assessed for limiting and intermediate cases. The problem is solved by a discretization with a finite element model and the Nataf transform is employed in order to generate and simulate the random field. Additionally, the random field is discretized by means of the Midpoint Method. Numerical results are obtained by means of Monte Carlo simulations and previously a convergence study was carried out to determine the number of realizations that gives a reasonable accuracy. The PDF and cumulative distribution function (CDF) of the central deflection allows obtaining statistical estimates. As a particular case, the homogeneous model with the MOE assumed as a random variable is studied with some detail. The propagation is made analytically and the explicit PDF of the central deflection is obtained. Since wood is a material with very variable mechanical properties, assuming the MOE as a random field contributes to attain a more realistic structural model. In particular, the study of the correlation length variability also provides a larger amount of information about the range of the response. It should be noted that within the standard code in use, the MOE is eventually modeled as a random variable and not as a random field. It is shown that the MOE modeled as a random variable constitutes a more conservative approach.Fil: García, Diego Alberto. Universidad Tecnológica Nacional. Facultad Regional Concepción del Uruguay. Departamento Ingeniería Civil. Grupo de Estudio de Maderas; Argentina.Fil: Piter, Juan Carlos Jesús. Universidad Tecnológica Nacional. Facultad Regional Concepción del Uruguay. Departamento Ingeniería Civil. Grupo de Estudio de Maderas; Argentina.Fil: Escalante, Mario Raúl. Universidad Tecnológica Nacional. Facultad Regional Concepción del Uruguay. Departamento Ingeniería Civil. Grupo de Estudio de Maderas; Argentina.Fil: Rosales, Marta Beatriz. Universidad Nacional del Sur; Argentina.Peer Reviewed2021-01-18T20:47:19Z2021-01-18T20:47:19Z2013-11-22info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfMecánica Computacional XXXII : 631-645 (2013).http://hdl.handle.net/20.500.12272/4725enginfo:eu-repo/semantics/openAccess2021-01-18T20:47:19Zhttp://creativecommons.org/licenses/by-nc-nd/4.0/Attribution-NonCommercial-NoDerivatives 4.0 InternacionalPiter, Juan Carlos Jesús ; Escalante, Mario Raúl ; García, Diego Alberto ; Rosales, Marta BeatrizNo comercial con fines académicos.reponame:Repositorio Institucional Abierto (UTN)instname:Universidad Tecnológica Nacional2026-10-01T11:58:08Zoai:ria.utn.edu.ar:20.500.12272/4725instacron:UTNInstitucionalhttp://ria.utn.edu.ar/Universidad públicaNo correspondehttp://ria.utn.edu.ar/oaigestionria@rec.utn.edu.ar; fsuarez@rec.utn.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:a2026-10-01 11:58:09.026Repositorio Institucional Abierto (UTN) - Universidad Tecnológica Nacionalfalse
dc.title.none.fl_str_mv Structural behavior of timber beams with a modulus of elasticity represented by a random field
title Structural behavior of timber beams with a modulus of elasticity represented by a random field
spellingShingle Structural behavior of timber beams with a modulus of elasticity represented by a random field
García, Diego Alberto
Random field
Modulus of elasticity
Timber beams
Midspan deflection
title_short Structural behavior of timber beams with a modulus of elasticity represented by a random field
title_full Structural behavior of timber beams with a modulus of elasticity represented by a random field
title_fullStr Structural behavior of timber beams with a modulus of elasticity represented by a random field
title_full_unstemmed Structural behavior of timber beams with a modulus of elasticity represented by a random field
title_sort Structural behavior of timber beams with a modulus of elasticity represented by a random field
dc.creator.none.fl_str_mv García, Diego Alberto
Piter, Juan Carlos Jesús
Escalante, Mario Raúl
Rosales, Marta Beatriz
author García, Diego Alberto
author_facet García, Diego Alberto
Piter, Juan Carlos Jesús
Escalante, Mario Raúl
Rosales, Marta Beatriz
author_role author
author2 Piter, Juan Carlos Jesús
Escalante, Mario Raúl
Rosales, Marta Beatriz
author2_role author
author
author
dc.subject.none.fl_str_mv Random field
Modulus of elasticity
Timber beams
Midspan deflection
topic Random field
Modulus of elasticity
Timber beams
Midspan deflection
dc.description.none.fl_txt_mv A stochastic model of the structural behavior of a Eucalyptus grandis timber beam is herein presented. Three strength classes obtained according to the the criterion of the Argentinean standard IRAM 9662-2:2006 are studied. The Modulus of Elasticity (MOE) is considered as a random field. The MOE uncertainties are quantified in the beam deflection and the random field is given by a gamma probability density function (PDF) and an exponential correlation function. Experimental data obtained from bending tests performed with 349 sawn beams of Argentinean Eucalyptus grandis are employed to find the PDF parameters. Statistical results of the deflection are reported for the case of pure bending of a simply supported beam. Focus is made on the central deflection. The methodology was previously verified comparing with some results published by other authors. The influence of the correlation length is assessed for limiting and intermediate cases. The problem is solved by a discretization with a finite element model and the Nataf transform is employed in order to generate and simulate the random field. Additionally, the random field is discretized by means of the Midpoint Method. Numerical results are obtained by means of Monte Carlo simulations and previously a convergence study was carried out to determine the number of realizations that gives a reasonable accuracy. The PDF and cumulative distribution function (CDF) of the central deflection allows obtaining statistical estimates. As a particular case, the homogeneous model with the MOE assumed as a random variable is studied with some detail. The propagation is made analytically and the explicit PDF of the central deflection is obtained. Since wood is a material with very variable mechanical properties, assuming the MOE as a random field contributes to attain a more realistic structural model. In particular, the study of the correlation length variability also provides a larger amount of information about the range of the response. It should be noted that within the standard code in use, the MOE is eventually modeled as a random variable and not as a random field. It is shown that the MOE modeled as a random variable constitutes a more conservative approach.
Fil: García, Diego Alberto. Universidad Tecnológica Nacional. Facultad Regional Concepción del Uruguay. Departamento Ingeniería Civil. Grupo de Estudio de Maderas; Argentina.
Fil: Piter, Juan Carlos Jesús. Universidad Tecnológica Nacional. Facultad Regional Concepción del Uruguay. Departamento Ingeniería Civil. Grupo de Estudio de Maderas; Argentina.
Fil: Escalante, Mario Raúl. Universidad Tecnológica Nacional. Facultad Regional Concepción del Uruguay. Departamento Ingeniería Civil. Grupo de Estudio de Maderas; Argentina.
Fil: Rosales, Marta Beatriz. Universidad Nacional del Sur; Argentina.
Peer Reviewed
description A stochastic model of the structural behavior of a Eucalyptus grandis timber beam is herein presented. Three strength classes obtained according to the the criterion of the Argentinean standard IRAM 9662-2:2006 are studied. The Modulus of Elasticity (MOE) is considered as a random field. The MOE uncertainties are quantified in the beam deflection and the random field is given by a gamma probability density function (PDF) and an exponential correlation function. Experimental data obtained from bending tests performed with 349 sawn beams of Argentinean Eucalyptus grandis are employed to find the PDF parameters. Statistical results of the deflection are reported for the case of pure bending of a simply supported beam. Focus is made on the central deflection. The methodology was previously verified comparing with some results published by other authors. The influence of the correlation length is assessed for limiting and intermediate cases. The problem is solved by a discretization with a finite element model and the Nataf transform is employed in order to generate and simulate the random field. Additionally, the random field is discretized by means of the Midpoint Method. Numerical results are obtained by means of Monte Carlo simulations and previously a convergence study was carried out to determine the number of realizations that gives a reasonable accuracy. The PDF and cumulative distribution function (CDF) of the central deflection allows obtaining statistical estimates. As a particular case, the homogeneous model with the MOE assumed as a random variable is studied with some detail. The propagation is made analytically and the explicit PDF of the central deflection is obtained. Since wood is a material with very variable mechanical properties, assuming the MOE as a random field contributes to attain a more realistic structural model. In particular, the study of the correlation length variability also provides a larger amount of information about the range of the response. It should be noted that within the standard code in use, the MOE is eventually modeled as a random variable and not as a random field. It is shown that the MOE modeled as a random variable constitutes a more conservative approach.
publishDate 2013
dc.date.none.fl_str_mv 2013-11-22
2021-01-18T20:47:19Z
2021-01-18T20:47:19Z
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv Mecánica Computacional XXXII : 631-645 (2013).
http://hdl.handle.net/20.500.12272/4725
identifier_str_mv Mecánica Computacional XXXII : 631-645 (2013).
url http://hdl.handle.net/20.500.12272/4725
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
2021-01-18T20:47:19Z
http://creativecommons.org/licenses/by-nc-nd/4.0/
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Piter, Juan Carlos Jesús ; Escalante, Mario Raúl ; García, Diego Alberto ; Rosales, Marta Beatriz
No comercial con fines académicos.
eu_rights_str_mv openAccess
rights_invalid_str_mv 2021-01-18T20:47:19Z
http://creativecommons.org/licenses/by-nc-nd/4.0/
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Piter, Juan Carlos Jesús ; Escalante, Mario Raúl ; García, Diego Alberto ; Rosales, Marta Beatriz
No comercial con fines académicos.
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.source.none.fl_str_mv reponame:Repositorio Institucional Abierto (UTN)
instname:Universidad Tecnológica Nacional
reponame_str Repositorio Institucional Abierto (UTN)
collection Repositorio Institucional Abierto (UTN)
instname_str Universidad Tecnológica Nacional
repository.name.fl_str_mv Repositorio Institucional Abierto (UTN) - Universidad Tecnológica Nacional
repository.mail.fl_str_mv gestionria@rec.utn.edu.ar; fsuarez@rec.utn.edu.ar
_version_ 1877862383191326720
score 13.364332

Publicaciones similares