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European Journal of Wood and Wood Products

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01-03-2019 | Original

Equivalent stiffness of timber used in CLT: closed-form estimates and numerical validation

Authors: Olivier Perret, Arthur Lebée, Cyril Douthe, Karam Sab

Published in: European Journal of Wood and Wood Products | Issue 3/2019

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Abstract

In this paper, a closed-form approach is presented to estimate rapidly the equivalent stiffness of boards used in cross laminated timber (CLT) panels from local orthotropic behavior at ring scale for varying sawing patterns. It is first assumed that narrow edges are glued. In this case, closed-form Reuss and Voigt bounds are derived for the equivalent layer behavior of CLT. An application to Norway spruce boards is presented and reveals that the cross-layer (rolling) shear behavior lies between 100 and 150 MPa with a careful selection of the board sawing pattern. Then, using finite element method, upper bounds for the cross-layer shear stiffness modulus of boards with and without glued edges are calculated and theoretical predictions are compared with recommendations and experimental data from the literature. Finally, it appears that these bounds remain relevant for CLT layer with unglued narrow edges for common aspect ratios.

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Title: Equivalent stiffness of timber used in CLT: closed-form estimates and numerical validation
Authors: Olivier Perret
Arthur Lebée
Cyril Douthe
Karam Sab
Publication date: 01-03-2019
Publisher: Springer Berlin Heidelberg
Published in: European Journal of Wood and Wood Products / Issue 3/2019
Print ISSN: 0018-3768
Electronic ISSN: 1436-736X
DOI: https://doi.org/10.1007/s00107-019-01395-x

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