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

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 un...

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Autores principales:	García, Diego Alberto, Piter, Juan Carlos Jesús, Escalante, Mario Raúl, Rosales, Marta Beatriz
Formato:	Artículo acceptedVersion
Lenguaje:	Inglés
Publicado:	2021
Materias:	Random field Modulus of elasticity Timber beams Midspan deflection
Acceso en línea:	http://hdl.handle.net/20.500.12272/4725
Aporte de:	RIA - Repositorio Institucional Abierto (UTN) de Universidad Tecnológica Nacional

id	I68-R174-20.500.12272-4725
record_format	dspace
institution	Universidad Tecnológica Nacional
institution_str	I-68
repository_str	R-174
collection	RIA - Repositorio Institucional Abierto (UTN)
language	Inglés
topic	Random field Modulus of elasticity Timber beams Midspan deflection
spellingShingle	Random field Modulus of elasticity Timber beams Midspan deflection García, Diego Alberto Piter, Juan Carlos Jesús Escalante, Mario Raúl Rosales, Marta Beatriz Structural behavior of timber beams with a modulus of elasticity represented by a random field
topic_facet	Random field Modulus of elasticity Timber beams Midspan deflection
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.
format	Artículo acceptedVersion
author	García, Diego Alberto Piter, Juan Carlos Jesús Escalante, Mario Raúl Rosales, Marta Beatriz
author_facet	García, Diego Alberto Piter, Juan Carlos Jesús Escalante, Mario Raúl Rosales, Marta Beatriz
author_sort	García, Diego Alberto
title	Structural behavior of timber beams with a modulus of elasticity represented by a random field
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
publishDate	2021
url	http://hdl.handle.net/20.500.12272/4725
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bdutipo_str	Repositorios
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Structural behavior of timber beams with a modulus of elasticity represented by a random field

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