Stochastic Model for Predicting the Bending Strength of Glued-Laminated Timber Based on the Knot Area Ratio and Localized MOE in Lamina

https://research.thinkwood.com/en/permalink/catalogue1379
Year of Publication
2018
Topic
Mechanical Properties
Material
Glulam (Glue-Laminated Timber)
Application
Beams
Author
Pang, Sung-Jun
Oh, Jung-Kwon
Hong, Jung-Pyo
Lee, Sang-Joon
Lee, Jun-Jae
Publisher
Springer Japan
Year of Publication
2018
Country of Publication
Japan
Format
Journal Article
Material
Glulam (Glue-Laminated Timber)
Application
Beams
Topic
Mechanical Properties
Keywords
Stochastic Model
Bending Strength
Modulus of Elasticity
Tensile Strength
Knot Area Ratios
Language
English
Research Status
Complete
Series
Journal of Wood Science
ISSN
1611-4663
Summary
The aim of this study was to develop a stochastic model for predicting the bending strength distribution of glued-laminated timber (GLT). The developed model required the localized modulus of elasticity (MOE) and tensile strengths of laminae as input properties. The tensile strength was estimated using a regression model based on the localized MOEs and knot area ratios (KAR) which were experimentally measured for lamina grades samples. The localized MOE was obtained using a machine stress-rated grader, and the localized KAR was determined using an image-processing system. The bending strength distributions in four types of GLTs were simulated using the developed GLT beam model; these four types included: (1) GLT beams without finger joints; (2) GLT beams with finger joints; (3) GLT beams with different lamina sizes; and (4) GLT beams with different combinations of lamina grades. The simulated bending strength distributions were compared with actual test data of 2.4 and 4.8 m-long GLTs. The Kolmogorov–Smirnov goodness-of-fit tests showed that all of the simulated bending strength distributions agreed well with the test data. Especially, good agreement was shown in the fifth percentile point estimate of bending strength with the difference of approximately 1%.
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