Simulation method to generate the strength of glulam using correlated random variables

Noboru Nakamura, Kazuhiko Fujita

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


Many reports have been published about designing the strength of glulam using simulation methods. In simulation methods, one of the most important problems is how to deal with correlations among strength factors, i. e., modulus of elasticity (MOE), modulus of rupture (MOR), tensile strength (σT), and compression strength (σC). For example, in the case that the MOR criteria of glulam is σni/fni + σbi/fbi ≥ 1 (where σni and σbi are the axial stress and the bending stress of the i-th lamina respectively, and fni and fbi are the axial strength and the bending strength of the i-th lamina respectively), a correlation between fni and fbi exists. How can we account for this correlation when calculating the strength of glulam, bearing in mind that it is very difficult to measure the correlation coefficients among MOR, σT, and σC? We developed a method by which these problems could be solved, and, using random variables generated by this method, the strengths of glulam were simulated. The simulated values were almost the same as the experimental values. The results indicated the usefulness of the method.

Original languageEnglish
Pages (from-to)203-207
Number of pages5
JournalJournal of Wood Science
Issue number3
Publication statusPublished - Jun 2011
Externally publishedYes


  • Correlation coefficients
  • Glulam strength
  • Lamina strength
  • Simulation method

ASJC Scopus subject areas

  • Biomaterials


Dive into the research topics of 'Simulation method to generate the strength of glulam using correlated random variables'. Together they form a unique fingerprint.

Cite this