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Journal of Wood Science

Official Journal of the Japan Wood Research Society

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Quasi-non-linear fracture mechanics analysis of splitting failure in simply supported beams loaded perpendicular to grain by dowel joints

Journal of Wood Science volume 51, pages 577–582 (2005)Cite this article

Abstract

A quasi-non-linear fracture mechanics model based on beam on elastic foundation theory is applied for analysis of the splitting failure of dowel joints loaded perpendicular to grain. Simply supported beams symmetrically loaded by two dowels are considered, and the effects of edge distance, dowel spacing, and distance between dowels and supports are accounted for. The foundation modulus used in the beam on elastic foundation model is chosen so that the perpendicular-to-grain tensile strength and fracture energy properties of the wood are correctly represented. This ensures that a conventional stress analysis and failure criterion lead to the same solution as the compliance method of fracture mechanics. A semiempirical efficiency factor is proposed to account for the influence of the total beam depth, which does not enter the beam on elastic foundation model, but the effect of which is evident from tests. It is shown that the so-called Van der Put/Leijten model, which recently has been adopted in Eurocode 5, appears as a special case of the model presented. Tests on simply supported beams with a single dowel joint at midspan are compared with the theoretical predictions. Various edge distances, beam depths, and spans were tested.

References

  1. Johansen KW (1941) Forsøg med træforbindelser. Bygningsstatiske Meddelelser, årgang XII

  2. Van der Put TACM, Leijten AJM (2000) Evaluation of perpendicular-to-grain failure of beams caused by concentrated loads of joints. In: Proceedings of the International Council for Research and Innovation in Building and Construction, CIB-W18 Meeting Thirty-Three, Delft, The Netherlands, paper No. 33-7-7

  3. Leijten AJM, Jorissen AJM (2001) Splitting strength of beam loaded by connections perpendicular to grain, model validation. In: Proceedings of the International Council for Research and Innovation in Building and Construction, CIB-W18 Meeting Thirty-Four, Venice, Italy, paper No. 34-7-1

  4. Leijten AJM (2002) Splitting strength of beams loaded by connections, model comparison. In: Proceedings of the International Council for Research and Innovation in Building and Construction, CIB-W18 Meeting Thirty-Five, Kyoto, Japan, paper No. 35-7-7

  5. Gustafsson PJ, Larsen HJ (2001) Dowel joints loaded perpendicular to grain. In: Aicher S, Reinhardt HW (eds) Joints in timber structures. Proceedings of the International RILEM Symposium, Stuttgart, Germany, pp 577–586

  6. Jensen JL, Gustafsson PJ, Larsen HJ (2003) A tensile fracture model for joints with rods or dowels loaded perpendicular to grain. In: Proceedings of the International Council for Research and Innovation in Building and Construction, CIB-W18 Meeting Thirty-Six, Colorado, USA, paper No. 36-7-9

  7. Jensen JL (2003) Splitting strength of beams loaded by connections. In: Proceedings of the International Council for Research and Innovation in Building and Construction, CIB-W18 Meeting Thirty-Six, Colorado, USA, paper No. 36-7-8

  8. WD Pilkey (1994) Formulas for stress, strain, and structural matrices Wiley New York

    Google Scholar 

  9. PJ Gustafsson (1987) Analysis of generalized Volkersen-joints in terms of non-linear fracture mechanics G Verchery AH Cardon (Eds) Mechanical behaviour of adhesive joints Pluralis Paris 323–338

    Google Scholar 

  10. JL Jensen (2005) ArticleTitleQuasi-non-linear fracture mechanics analysis of the double-cantilever-beam specimen J Wood Sci 51 566–571 Occurrence Handle10.1007/s10086-005-0700-4

    Article  Google Scholar 

  11. JL Jensen (2005) ArticleTitleQuasi-non-linear fracture mechanics analysis of the splitting failure of single dowel joints loaded perpendicular to grain J Wood Sci 51 559–565 Occurrence Handle10.1007/s10086-005-0699-6

    Article  Google Scholar 

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  1. Institute of Wood Technology, Akita Prefectural University, 11-1 Kaieizaka, Noshiro, 016-0876, Japan

    Jørgen Lauritzen Jensen

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  1. Jørgen Lauritzen Jensen
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Correspondence to Jørgen Lauritzen Jensen.

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Jensen, J. Quasi-non-linear fracture mechanics analysis of splitting failure in simply supported beams loaded perpendicular to grain by dowel joints. J Wood Sci 51, 577–582 (2005). https://doi.org/10.1007/s10086-005-0701-3

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  • DOI: https://doi.org/10.1007/s10086-005-0701-3

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