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Official Journal of the Japan Wood Research Society

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Prediction of the buckling stress of intermediate wooden columns using the secant modulus


We made several buckling tests of wooden columns with intermediate slenderness ratios (λ) and examined the empirical formulas. On the basis of the examination, we formulated an equation for predicting the buckling stress (σ) of an intermediate wooden column. Sitka spruce (Picea sitchensis Carr.) and buna (Japanese beech, Fagus crenata BI.) were used for the studies. A compressive load was applied on the specimen supported with pin ends, and the buckling stress was predicted by the tangent modulus theory and two empirical equations: those of Tetmajer and Newlin-Gahagan. The predicted σ-λ relations were compared with the test results, and the applicability of these predictions were examined. Based on the comparisons, we formulated an equation that can predict the σ-λ relations of materials with various stress-strain characters in the plastic strain range.


  1. Yoshihara H, Ohta M (1995) Analysis of the buckling stress of an intermediate wooden column by the tangent modulus theory. Mokuzai Gakkaishi 41:367–372

    Google Scholar 

  2. Kollmann FFP, Côte WA Jr (1968) Principles of wood science and technology. I. Solid wood. Springer, Berlin, pp 321–419

    Book  Google Scholar 

  3. Newlin JA, Gahagan JM (1930) Tests of large timber columns and presentation of the forest products laboratory column formula. US Department of Agriculture Technical Bulletin 167

  4. Timoshenko SP, Gere JM (1961) Theory of elastic stability. McGraw-Hill, New York, pp 132–135

    Google Scholar 

  5. Ylinen A (1956) A method of determining the buckling stress and the required cross-sectional area for centrally loaded straight columns in elastic and inelastic range. Mem Assoc Int Ponts Charpentes 16:529–550

    Google Scholar 

  6. Sawada M (1958) Studies on the strength properties of wood (in Japanese). Bull Forestry Forest Prod Res Inst 108:115–224

    Google Scholar 

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Yoshihara, H., Ohta, M. & Kubojima, Y. Prediction of the buckling stress of intermediate wooden columns using the secant modulus. J Wood Sci 44, 69–72 (1998).

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