Skip to main content
Top
Published in: European Journal of Wood and Wood Products 3/2015

01-05-2015 | Original

Probabilistic modelling of the tensile related material properties of timber boards and finger joint connections

Authors: Gerhard Fink, Jochen Kohler

Published in: European Journal of Wood and Wood Products | Issue 3/2015

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In the present paper a probabilistic approach for modelling the tensile strength and tensile stiffness properties of timber boards and finger joint connections is presented. The approach includes the geometrical setup of timber boards (the position of knot clusters) and a hierarchical representation of two strength and stiffness related indicators. One indicator to describe the mean material properties of timber boards and one indicator to describe the lengthwise variability due to knots. Based on the two indicators the tensile strength and tensile stiffness of timber board sections and finger joint connections are estimated using material models. The application of the approach is illustrated. For this purpose, finger joint connections and timber boards with different length are simulated and the material properties are compared with values proposed in the literature.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
go back to reference Barrett J, Lam F, Lau W (1995) Size effects in visually graded softwood structural lumber. J Material Civil Eng 7(1):19–30CrossRef Barrett J, Lam F, Lau W (1995) Size effects in visually graded softwood structural lumber. J Material Civil Eng 7(1):19–30CrossRef
go back to reference Benjamin JR, Cornell CA (1970) Probability, statistics, and desision for civil engineers. MCGraw-Hill Book Company Benjamin JR, Cornell CA (1970) Probability, statistics, and desision for civil engineers. MCGraw-Hill Book Company
go back to reference Blaß H, Frese M, Glos P, Denzler J, Linenmann P, Ranta-Maunus A (2008) Reliability of spruce-glulam with modified set-up (in German), vol 11. KIT Scientific Publishing Blaß H, Frese M, Glos P, Denzler J, Linenmann P, Ranta-Maunus A (2008) Reliability of spruce-glulam with modified set-up (in German), vol 11. KIT Scientific Publishing
go back to reference Colling F (1990) Bending strength of glulam beams depending on strength related parameters (thesis, in German). Versuchsanst. für Stahl, Holz und Steine Colling F (1990) Bending strength of glulam beams depending on strength related parameters (thesis, in German). Versuchsanst. für Stahl, Holz und Steine
go back to reference Colling F, Dinort R (1987) The knot frequency of conifer timber used in glulam factories (in German). Holz Roh- Werkst 45(1):23–26CrossRef Colling F, Dinort R (1987) The knot frequency of conifer timber used in glulam factories (in German). Holz Roh- Werkst 45(1):23–26CrossRef
go back to reference Czmoch I, Thelandersson S, Larsen H (1991) Effect of within member variability on bending strength of structural timber. In: Proceedings of the 24th Meeting, International Council for Research and Innovation in Building and Construction, Working Commission W18 - Timber Structures, Oxford, United Kingdom, CIB-W18, Paper No. 24-6-3 Czmoch I, Thelandersson S, Larsen H (1991) Effect of within member variability on bending strength of structural timber. In: Proceedings of the 24th Meeting, International Council for Research and Innovation in Building and Construction, Working Commission W18 - Timber Structures, Oxford, United Kingdom, CIB-W18, Paper No. 24-6-3
go back to reference DIN 4074–1 (2008) Strength grading of wood—Part 1: Coniferous sawn timber; German version DIN 4074–1 (2008) Strength grading of wood—Part 1: Coniferous sawn timber; German version
go back to reference Ehlbeck J, Colling F, Görlacher R (1985) Influence of fingerjointed lamellae on the bending strength of glulam beams (in German). Holz Roh- Werkst 43(8):369–373CrossRef Ehlbeck J, Colling F, Görlacher R (1985) Influence of fingerjointed lamellae on the bending strength of glulam beams (in German). Holz Roh- Werkst 43(8):369–373CrossRef
go back to reference EN 1194 (1999) Timber structures—glued laminated timber—strength classes and determination of characteristic values; German version EN 1194 (1999) Timber structures—glued laminated timber—strength classes and determination of characteristic values; German version
go back to reference EN 14081–4 (2009) Timber structures—strength graded structural timber with rectangular crosssection—Part 4. In: Machine grading—grading machine settings for machine controlled systems; German version EN 14081–4 (2009) Timber structures—strength graded structural timber with rectangular crosssection—Part 4. In: Machine grading—grading machine settings for machine controlled systems; German version
go back to reference EN 1912 (2012) Structural timber—strength classes—assignment of visual grades and species; German version EN 1912 (2012) Structural timber—strength classes—assignment of visual grades and species; German version
go back to reference EN 338 (2010) Structural timber—strength classes; german version EN 338 (2010) Structural timber—strength classes; german version
go back to reference EN 384 (2004) Determination of characteristic values of mechanical properties and density; german version EN 384 (2004) Determination of characteristic values of mechanical properties and density; german version
go back to reference EN 408 (2003) Timber structures—structural timber and glued laminated timber - Determination of some physical and mechanical properties; German version EN 408 (2003) Timber structures—structural timber and glued laminated timber - Determination of some physical and mechanical properties; German version
go back to reference Faber M (2012) Statistics and Probability Theory. In Pursuit of Engineering Decision Support, vol 18. Springer Faber M (2012) Statistics and Probability Theory. In Pursuit of Engineering Decision Support, vol 18. Springer
go back to reference Fink G (2014) Influence of varying material properties on the load-bearing capacity of glued laminated timber—Diss. ETH NO. 21746. PhD thesis, ETH Zurich, Zurich, Switzerland Fink G (2014) Influence of varying material properties on the load-bearing capacity of glued laminated timber—Diss. ETH NO. 21746. PhD thesis, ETH Zurich, Zurich, Switzerland
go back to reference Fink G, Kohler J (2011) Multiscale Variability of Stiffness Properties of Timber Boards. In: ICASP Applications of Statistics and Probability in Civil Engineering. Zurich, Switzerland Fink G, Kohler J (2011) Multiscale Variability of Stiffness Properties of Timber Boards. In: ICASP Applications of Statistics and Probability in Civil Engineering. Zurich, Switzerland
go back to reference Fink G, Kohler J (2012) Non-destructive test to determine the modulus of elasticity of timber boards (in German). IBK Report No. 339, ETH Zurich, Zurich Fink G, Kohler J (2012) Non-destructive test to determine the modulus of elasticity of timber boards (in German). IBK Report No. 339, ETH Zurich, Zurich
go back to reference Fink G, Kohler J (2014) Model for the prediction of the tensile strength and tensile stiffness of knot clusters within structural timber. Eur J Wood Prod 72(3):331–341CrossRef Fink G, Kohler J (2014) Model for the prediction of the tensile strength and tensile stiffness of knot clusters within structural timber. Eur J Wood Prod 72(3):331–341CrossRef
go back to reference Giudiceandrea F (2005) Stress grading lumber by a combination of vibration stress waves and x-ray scanning. In: Proceedings of the 11th International Conference on Scanning Technology and Process optimization in the wood Industry (ScanTech 2005), Las Vegas Giudiceandrea F (2005) Stress grading lumber by a combination of vibration stress waves and x-ray scanning. In: Proceedings of the 11th International Conference on Scanning Technology and Process optimization in the wood Industry (ScanTech 2005), Las Vegas
go back to reference Görlacher R (1984) A new method for determining the modulus of elasticity of timber (in German. Holz Roh- Werkst 42:219–222CrossRef Görlacher R (1984) A new method for determining the modulus of elasticity of timber (in German. Holz Roh- Werkst 42:219–222CrossRef
go back to reference Görlacher R (1990) Stress grading of laminates according to DIN 4074 by measuring longitudinal vibrations (in German). Bauingenieur 65:517–522 Görlacher R (1990) Stress grading of laminates according to DIN 4074 by measuring longitudinal vibrations (in German). Bauingenieur 65:517–522
go back to reference Heimeshoff B, Glos P (1980) Tensile Strength and MOE in Bending of Spruce Laminates (in German). Holz Roh- Werkst 38(2):51–59 Heimeshoff B, Glos P (1980) Tensile Strength and MOE in Bending of Spruce Laminates (in German). Holz Roh- Werkst 38(2):51–59
go back to reference Isaksson T (1999) Modelling the variability of bending strength in structural timber. PhD thesis, Lund Institute of Technology Isaksson T (1999) Modelling the variability of bending strength in structural timber. PhD thesis, Lund Institute of Technology
go back to reference Kersken-Bradley M, Rackwitz R (1991) Stochastic modeling of material properties and quality control. In: JCSS Working Document, IABSE-publication Kersken-Bradley M, Rackwitz R (1991) Stochastic modeling of material properties and quality control. In: JCSS Working Document, IABSE-publication
go back to reference Kline D, Woeste F, Bendtsen B (1986) Stochastic model for modulus of elasticity of lumber. Wood and Fiber Science 18:228–238 Kline D, Woeste F, Bendtsen B (1986) Stochastic model for modulus of elasticity of lumber. Wood and Fiber Science 18:228–238
go back to reference Köhler J, Faber MH (2004) Proposal for a probabilistic model code for design of timber structures. In: Proceedings of the 37th Meeting, International Council for Research and Innovation in Building and Construction, Working Commission W18 - Timber Structures, Edinburgh, UK, CIB-W18, Paper No. 37–104-1 Köhler J, Faber MH (2004) Proposal for a probabilistic model code for design of timber structures. In: Proceedings of the 37th Meeting, International Council for Research and Innovation in Building and Construction, Working Commission W18 - Timber Structures, Edinburgh, UK, CIB-W18, Paper No. 37–104-1
go back to reference Köhler J, Sørensen JD, Faber MH (2007) Probabilistic modeling of timber structures. Structural safety 29(4):255–267 Köhler J, Sørensen JD, Faber MH (2007) Probabilistic modeling of timber structures. Structural safety 29(4):255–267
go back to reference Kohler J, Brandner R, Thiel A, Schickhofer G (2013) Probabilistic characterisation of the length effect for parallel to the grain tensile strength of central european spruce. Engineering Structures 56:691–697CrossRef Kohler J, Brandner R, Thiel A, Schickhofer G (2013) Probabilistic characterisation of the length effect for parallel to the grain tensile strength of central european spruce. Engineering Structures 56:691–697CrossRef
go back to reference Lam F, Varoglu E (1991a) Variation of tensile strength along the length of lumber. Wood Sci Technol 25(5):351–359CrossRef Lam F, Varoglu E (1991a) Variation of tensile strength along the length of lumber. Wood Sci Technol 25(5):351–359CrossRef
go back to reference Lam F, Varoglu E (1991b) Variation of tensile strength along the length of lumber. Wood Sci Technol 25(6):449–458CrossRef Lam F, Varoglu E (1991b) Variation of tensile strength along the length of lumber. Wood Sci Technol 25(6):449–458CrossRef
go back to reference Madsen B, Buchanan AH (1986) Size effects in timber explained by a modified weakest link theory. Canadian Journal of Civil Engineering 13(2):218–232CrossRef Madsen B, Buchanan AH (1986) Size effects in timber explained by a modified weakest link theory. Canadian Journal of Civil Engineering 13(2):218–232CrossRef
go back to reference Pellicane P, Stanfill-McMillan K, Tichy R (1987) Effects of knots near the fingers of finger-jointed dimension lumber. Forest products journal 37(5):13–16 Pellicane P, Stanfill-McMillan K, Tichy R (1987) Effects of knots near the fingers of finger-jointed dimension lumber. Forest products journal 37(5):13–16
go back to reference Samson M (1985) Potential of finger-jointed lumber for machine stress-rated lumber grades. Forest Products Journal 35(7/8):20–24 Samson M (1985) Potential of finger-jointed lumber for machine stress-rated lumber grades. Forest Products Journal 35(7/8):20–24
go back to reference SIA 265–1,(2009) Timber Structures - Supplementary Specifications. German version, Schweizer Ingenieur- und Architektenverein, Zurich, Switzerland SIA 265–1,(2009) Timber Structures - Supplementary Specifications. German version, Schweizer Ingenieur- und Architektenverein, Zurich, Switzerland
go back to reference Taylor SE, Bender DA (1991) Stochastic model for localized tensile strength and modulus of elasticity in lumber. Wood and Fiber Science 23(4):501–519 Taylor SE, Bender DA (1991) Stochastic model for localized tensile strength and modulus of elasticity in lumber. Wood and Fiber Science 23(4):501–519
go back to reference Weibull W (1939) A statistical theory of strength of materials. Nr. 151, Royal Swedish Institute for Engineering Research Weibull W (1939) A statistical theory of strength of materials. Nr. 151, Royal Swedish Institute for Engineering Research
Metadata
Title
Probabilistic modelling of the tensile related material properties of timber boards and finger joint connections
Authors
Gerhard Fink
Jochen Kohler
Publication date
01-05-2015
Publisher
Springer Berlin Heidelberg
Published in
European Journal of Wood and Wood Products / Issue 3/2015
Print ISSN: 0018-3768
Electronic ISSN: 1436-736X
DOI
https://doi.org/10.1007/s00107-015-0895-z

Other articles of this Issue 3/2015

European Journal of Wood and Wood Products 3/2015 Go to the issue