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Official Journal of the Japan Wood Research Society

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Effective sampling method for estimating bending strength distribution of Japanese larch square-sawn timber

Abstract

Information on the strength distribution of timbers and other wood products seems to have become more important for users and producers after revision of the Japan architectural standard in 1998, which emphasizes the performance requirements of structures. Because there is no way other than expensive destructive tests to collect strength data, many researchers have proposed many inspecting methods for predicting strength by nondestructive evaluation. The most popular method for structural timber is the mechanical grading method based on the relation between Young's modulus (E) and strength (σ) with some linear regression models. On the other hand, it is well known that the proof loading test is superior for obtaining information on the lower tail ofσ distribution. If the E distribution of the objective timbers is known approximately, selecting timbers nearest to the projected E values saves timbers for destructive tests. We examined the alternative sampling method using the reported e-σ data sets of Japanese larch square-sawn timber. The simulated results showed that the estimated lower tail of the bending strength distribution by the alternative method was a better approximation of the experimental distribution than that derived from the conventional linear regression model.

References

  1. 1.

    Sato H, Nakahara Y (1967) The complete Japanese joinery (translated into English by KP Nii). Hartley & Marks, Vancouver, pp 221–251

    Google Scholar 

  2. 2.

    Iijima Y, Nakai T (1990) Species effect on MOE-MOR relation of square sawn lumber. Presented at the 1990 international timber engineering conference, Tokyo, pp 842–846

  3. 3.

    Hayashi T (1998) Engineered wood (in Japanese). Nihon Mokuzai Shinbunsha, Tokyo, pp 10–13

    Google Scholar 

  4. 4.

    Harada T, Suzuki S (1998) Rapid learning the revised Japan architectural standard (in Japanese). Ohmusha, Tokyo, pp 1–15

    Google Scholar 

  5. 5.

    Sobue N (1993) Nondestructive testing of wood (in Japanese). Mokuzai Gakkaishi 39:973–979

    Google Scholar 

  6. 6.

    Hayashi T (1989) Performance prediction of wood laminates (in Japanese). Mokuzai Gakkaishi 35:1144–1153

    Google Scholar 

  7. 7.

    Ang AH-S, Tang WH (1977) Probability concepts in engineering planning and design (in Japanese) (translated by Ito M, Kameda H). Maruzen, Tokyo, pp 282–293

    Google Scholar 

  8. 8.

    Takeda T, Hashizume T (1999) Differences of tensile strength distributions between mechanically high and low grade Japanese larch lumbers I. J Wood Sci 45:200–206

    Article  Google Scholar 

  9. 9.

    Takeda T, Hashizume T (1999) Differences of tensile strength distributions between mechanically high and low grade Japanese larch lumbers II. J Wood Sci 45:207–212

    Article  Google Scholar 

  10. 10.

    Takeda T, Hashizume T (2000) Differences of tensile strength distributions between mechanically high and low grade Japanese larch lumbers III. J Wood Sci 46:95–101

    Article  Google Scholar 

  11. 11.

    Madsen B (1992) Structural behaviour of timber. Timber Engineering, North Vancouver, pp 37–49

    Google Scholar 

  12. 12.

    Shigematsu Y (1990) Wood quality of larch in relation to its. growth. 1 (in Japanese). Mokuzai Kogyo 45:445–451

    Google Scholar 

  13. 13.

    Shigematsu Y (1991) Wood quality of larch in relation to its growth. 2 (in Japanese). Mokuzai Kogyo 46:9–16

    Google Scholar 

  14. 14.

    Tokumoto M, Takeda T, Nakano T, Hashizume T, Yoshida T, Takei F, Nagao H, Tanaka T, Nakai T (1997) Mechanical properties of full-sized square lumbers of karamatsu (in Japanese). Bull Shinshu Univ For 33:75–145

    Google Scholar 

  15. 15.

    Takeda T, Tokumoto M, Nakano T, Hashizume T, Nagao H (1998) The fifth percentile estimate of bending, longitudinal compressive, and tensile strengths of square sawn larch timbers from Shinshu (in Japanese). Mokuzai Gakkaishi 44:170–177

    CAS  Google Scholar 

  16. 16.

    Foschi RO, Folz BR, Yao FZ (1989) Reliability-based design of wood structures. Structural research series report No. 34. First Folio Printing, Canada, pp 20–22

    Google Scholar 

  17. 17.

    Tsujii S, Sugiyama H (1961) On the strength properties and the allowable unit stresses of commercial timbers (in Japanese). Trans Architect Inst Jpn 67:67–74

    Article  Google Scholar 

  18. 18.

    Natrella MG (1963) Experimental statistics. Handbook 91. US Department of Commerce Technology Administration, Washington, DC, pp 5.1–5.46

    Google Scholar 

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Correspondence to Takashi Takeda.

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Takeda, T., Hashizume, T. Effective sampling method for estimating bending strength distribution of Japanese larch square-sawn timber. J Wood Sci 46, 350–356 (2000). https://doi.org/10.1007/BF00776395

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Key words

  • Modulus of elasticity
  • Modulus of rupture
  • Compressive strength
  • Sampling method
  • Bivariate frequency distribution