Probabilistic Parameters of GL24h Glued Laminated Timber: Experimental Assessment, Statistical Significance, and Consequences for Component Reliability
Open accessAbstract
Probabilistic models of glued laminated timber are a required input to structural reliability analysis, and the JCSS Probabilistic Model Code is the reference most analyses adopt without independent verification. This paper reports an experimental programme of 61 small clear-wood specimens of GL24h glulam produced in Croatia, cut from three parent elements from one producer, delivered together as a single lot, covering bending, tension and compression parallel to grain, shear of wood and of the adhesive line, compression perpendicular to grain, and finger joints in tension and bending. All eight strength properties are tested against the reference model with confidence intervals and a family-wise error correction across the eight comparisons. Exactly one deviation survives: the coefficient of variation (COV) of tensile strength parallel to grain is 0.339 against the reference 0.180, with a Holm-adjusted p = 0.0064; no other property is distinguishable from the reference. The measured density COV of 0.026, against a reference value of 0.10, shows directly that the specimens are a cluster sample from three parent elements rather than independent draws from the GL24h population, which makes the elevated tensile scatter the more notable, since clustering suppresses observed variability rather than inflating it. The reliability consequence is then shown to depend on an assumption usually left implicit. Holding the characteristic value at the declared 19.2 MPa, as grading enforces, the reliability index of a tension-critical element falls from 3.30 to 3.09; holding the mean constant, it falls to 2.41. The absolute values depend on the load-duration class assumed for snow, but the contrast between the two treatments does not. Carrying the sampling uncertainty of the COV estimate through the calculation lowers these to predictive values of 2.88 and 1.82. The conclusion is correspondingly narrow: elevated tensile variability matters for the assessment of existing structures, where the mean is measured rather than declared, and for reliability studies that adopt generic parameters and vary only dispersion; it matters little where grading against a fractile is active.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Cites
A Simple Sequentially Rejective Multiple Test Procedure
(1979) · Scandinavian Journal of Statistics · doi:10.2307/4615733 · Cited by 21,526 · see citing works
Analysis of structural reliability under parameter uncertainties
Kiureghian, A. D. (2008) · Probabilistic Engineering Mechanics · doi:10.1016/j.probengmech.2007.10.011 · Cited by 184 · see citing works
Probabilistic modeling of timber structures
Köhler, J., Sørensen, J. D., & Faber, M. H. (2006) · Structural Safety · doi:10.1016/j.strusafe.2006.07.007 · Cited by 107 · see citing works
Structural robustness and timber buildings – a review
Huber, J. A. J., Ekevad, M., Girhammar, U. A., et al. (2018) · Wood Material Science and Engineering · doi:10.1080/17480272.2018.1446052 · Cited by 94 · see citing works
Reliability-based calibration of load duration factors for timber structures
Sørensen, J. D., Svensson, S., & Stang, B. F. D. (2004) · Structural Safety · doi:10.1016/j.strusafe.2004.10.001 · Cited by 50 · see citing works
Probabilistic approach for modelling the load-bearing capacity of glued laminated timber
Fink, G., Frangi, A., & Köhler, J. (2015) · Engineering Structures · doi:10.1016/j.engstruct.2015.06.015 · Cited by 42 · see citing works
System reliability of timber structures with ductile behaviour
Kirkegaard, P. H., Sørensen, J. D., Čizmar, D., & Rajčić, V. (2011) · Engineering Structures · doi:10.1016/j.engstruct.2011.03.011 · Cited by 35 · see citing works
Self-citationOn reliability assessment of existing structures
Diamantidis, D., Tanner, P., Holický, M., et al. (2024) · Structural Safety · doi:10.1016/j.strusafe.2024.102452 · Cited by 25 · see citing works
Reliability-based robustness analysis for a Croatian sports hall
Čizmar, D., Kirkegaard, P. H., Sørensen, J. D., et al. (2011) · Engineering Structures · doi:10.1016/j.engstruct.2011.05.006 · Cited by 21 · see citing works
Self-citationBriggert, A., Olsson, A., & Oscarsson, J. (2020) · Materials and Structures · doi:10.1617/s11527-020-01460-5 · Cited by 21 · see citing works
Strength grading of timber in the UK and Ireland in 2021
Ridley-Ellis, D., Gil-Moreno, D., & Harte, A. M. (2022) · International Wood Products Journal · doi:10.1080/20426445.2022.2050549 · Cited by 16 · see citing works
Fink, G., & Köhler, J. (2015) · European Journal of Wood and Wood Products · doi:10.1007/s00107-015-0895-z · Cited by 14 · see citing works
Weidenhiller, A., Ridley-Ellis, D., & Neumüller, A. (2023) · World Conference on Timber Engineering (WCTE) · doi:10.52202/069179-0101 · Cited by 4 · see citing works
Vida, C., Lukacevic, M., Pech, S., et al. (2024) · Construction and Building Materials · doi:10.1016/j.conbuildmat.2024.139514 · Cited by 4 · see citing works
Vafadar, F., Jaaranen, J., & Fink, G. (2025) · Engineering Structures · doi:10.1016/j.engstruct.2025.121310 · Cited by 3 · see citing works
Chen, J., Zheng, X., Zhang, C., et al. (2026) · Engineering Structures · doi:10.1016/j.engstruct.2026.122794 · Cited by 1 · see citing works
Loebjinski, M., Li, Z., Rug, W., & Pasternak, H. (2022) · Engineering Structures and Technologies · doi:10.3846/est.2022.23007
Flagged first, then by citations
Research works printed but not linked: 5
- 2008, Reliability analysis of glued laminated timber girders, Građevinar, 60, 513
- Čizmar, D. (2012). Robustness of Structural Systems of Timber Truss Girders. [Ph.D. Thesis, Faculty of Civil Engineering, University of Zagreb].
- Čizmar, D., Rajčić, V., Kirkegaard, P.H., and Sørensen, J.D. (2010, January 20–24). Robustness analysis of timber truss structure. Proceedings of the 11th World Conference on Timber Engineering (WCTE), Riva del Garda, Italy.
- Serrano, E. (2000). Adhesive Joints in Timber Engineering. [Ph.D. Thesis, Lund University].
- Castro, 1997, Parameters affecting end finger joint performance in poplar wood, Holz Roh Werkst., 55, 257
Cited by
Still being checked.
- Authors
- Čizmar, D.
- Affiliations
- Tehničko Veleučilište u Zagrebu (HR)
- Corresponding author
- Čizmar, Dean
- ORCID
- Čizmar, Dean
- Venue
- Applied Sciences
- Publisher
- MDPI AG
- Published
- 2026-09-15
- Volume
- 16
- Issue
- 18
- Pages
- 9133
- ISSN
- 2076-3417 (ISSN-L)
- OpenAlex
- W7213252973
- Cited by
- 0
- References
- 17
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- Locations
- Applied Sciences (publishedVersion, cc-by)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion)
- Topics
- Physical Sciences › Engineering › Building and Construction › Wood Treatment and Properties
- Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › Probabilistic and Robust Engineering Design
- Physical Sciences › Engineering › Civil and Structural Engineering › Structural Engineering and Materials Analysis
- Keywords
- glued laminated timber, strength variability, coefficient of variation, density variation, sampling uncertainty, reliability index, structural reliability, existing structure assessment
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review