Evaluation of Failure Theories to Determine the Wood Strength Variation with Grain Slope

  • Received : 2009.07.29
  • Accepted : 2009.09.14
  • Published : 2009.09.25

Abstract

Three failure theories were studied to evaluate the wood strength variation with grain slope. Maximum stress theory, Tsai-Hill theory and Hankinson formula were presented to hypothesize the failure of wood according to grain slope to loading direction. Red pine and Japanese larch were used as materials to simulate failure strength prediction with grain slope. Calculation of strength results was that the strength of wood drops rapidly between parallel to grain orientation (0 degree) and 15 degree grain orientation. The strength of wood with grain orientation were somewhat different at small grain angles among failure theories, and this tendency was due to tension and compression distinction, and shear accounting in each theories. For the above 45 degree grain orientation, the predicted failure strength of wood with grain variation were very close in each failure theories and were useful in assessing failure strength of wood. The applicable these theories should be considered that the wood has different behavior in tension and compression, and this lead to different strength at small grain angles in each theories. Furthermore, reconsideration is needed to assess the failure strength of wood at small grain angles in Hankinson formula and further studies are necessary to accounting for shear behavior at small grain angles.

Keywords

Acknowledgement

Supported by : Daegu University

References

  1. Clouston, P., F. Lam, and J. D. Barrett. 1998. Interaction term of Tsai-Wu theory for laminated veneer. J. of Materials in Civil Engineering 10(2): 112-116 https://doi.org/10.1061/(ASCE)0899-1561(1998)10:2(112)
  2. Forest Product Laboratory. 1999. Wood Handbook. USDA Forest Product Laboratory General Technical Report FPL-GTR-113
  3. Jenkins, C. F. 1920. Materials of construction used in aircraft and aircraft engines. Report to the Great Britain Aeronautical Research Committee
  4. Kollman, F. F. P and W. A. C\hat{a}te. 1968. Principles of wood science and technology I. Solid wood. Springer-Verlag
  5. Laufenberg, T. L. 1984. Flakeboard fracture surface observations and correlation with orthotropic failure criteria. J. of the Institute of Wood Science 10(2): 57-65
  6. Liu, J. Y. 1984. Evaluation of the tensor polynominal strength theory for wood. J. of Composite Materials 18: 216-226 https://doi.org/10.1177/002199838401800302
  7. Liu, J. Y. 2001. Strength criteria for orthotropic materials. in Proceedings of ICCE 8th annual international conference on composite engineering. Tenerife, Spain
  8. Narayanaswami, R. and H. M. Adelman. 1977. Evaluation of the tensor polynominal and hoffman strength theories for composite materials. J. of Composite Materials 11: 366-377 https://doi.org/10.1177/002199837701100401
  9. Jung, S. and B. Park. 2008. Wood properties of the useful tree species grown in Korea. Korea Forest Research Institute
  10. Tsai, S. W. and E. M. Wu. 1971. A general theory of strength for anisotropic materials. J. of Composite Materials 5: 58-80 https://doi.org/10.1177/002199837100500106
  11. Woodward, C. and J. Minor. 1988. Failure theories for Douglas-fir in tension. J. of Structural Engineering 114(12): 2808-2813 https://doi.org/10.1061/(ASCE)0733-9445(1988)114:12(2808)