Probabilistic approach for modelling the load-bearing capacity of glued laminated timber

Gerhard Fink*, Andrea Frangi, Jochen Kohler

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

17 Citations (Scopus)


In this paper, a probabilistic approach for modelling the load-bearing capacity of glued laminated timber is presented. The specific characteristic of this approach is that, at first, timber boards are simulated according the natural growth characteristic of timber. Subsequent, glued laminated timber beams are virtually composed out of the simulated timber boards. Thereby, every kind of fabrication procedure, such as the length of the timber boards or the beam dimensions, can be recreated. Afterwards, a numerical model is used to estimate the load-bearing capacity, the bending stiffness and the type of failure of the simulated GLT beams. To ensure the quality of the numerical model it is validated with 24 GLT beams with a precisely-known beam setup; a wide agreement between the measured and the estimated material properties is identified. For a probabilistic investigation of different input parameters a Monte Carlo simulation is performed. The application of the presented approach is illustrated on selected examples (size effect, the quality of finger joint connections and grading criteria).

Original languageEnglish
Pages (from-to)751-762
Number of pages12
JournalEngineering Structures
Publication statusPublished - 1 Oct 2015
MoE publication typeA1 Journal article-refereed


  • Glued laminated timber
  • Load-bearing capacity
  • Monte carlo simulation
  • Probabilistic model
  • Size effect
  • Type of failure

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