Skip to main content
Log in

Effect of the specimen configuration on the accuracy in measuring the shear modulus of western hemlock by torsional vibration test

  • Original
  • Published:
Wood Science and Technology Aims and scope Submit manuscript

Abstract

The shear moduli of solid wood in longitudinal–tangential and longitudinal–radial planes were obtained by conducting a torsional vibration test and subsequent numerical analyses on western hemlock specimens by fixing the thickness as 10 mm and varying the width and length in the ranges of 20–80 mm and 100–400 mm, respectively. In the numerical analyses, the shear modulus in the tangential–radial planes was varied, and its effect was also examined as well as those of the width and length of the model. The results obtained indicated that the effect of the shear modulus in the tangential–radial plane was enhanced as the width increased and the length decreased. However, the shear modulus in the wider plane of the specimen could be obtained accurately by reducing the effect of the shear modulus in the tangential–radial plane when appropriate ranges of the width and length were determined. From the numerical and experimental results, the shear moduli in the longitudinal–tangential and longitudinal–tangential planes were accurately obtained when the width was in the range of 20–40 mm and the length was in the range of 250–400 mm.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  • Becker HF (1973) Messung der Schubmoduln von Vollholz mit akustischen Torsionssshwingungen (Measuring the moduli of rigidity of solid wood by torsional vibration tests). Holz Roh-Werkst 31:207–210 (in German)

    Article  Google Scholar 

  • Brancheriau L, Baillerres H (2002) Natural vibration analysis of clear wooden beams: a theoretical review. Wood Sci Technol 36:347–365

    Article  CAS  Google Scholar 

  • Cavalli A, Marcon B, Cibecchini D, Mazzanti P, Fioravanti M, Procino L, Togni M (2017) Dynamic excitation and FE analysis to assess the shear modulus of structural timber. Mater Struct 50:130

    Article  Google Scholar 

  • Divos F, Denes L, Iñigues G (2005) Effect of cross-sectional change of a board specimen on stress wave velocity determination. Holzforschung 59:230–231

    Article  CAS  Google Scholar 

  • Divós F, Tanaka T, Nagao H, Kato H (1998) Determination of shear modulus on construction size timber. Wood Sci Technol 32:393–402

    Article  Google Scholar 

  • Dong Y, Nakao T, Tanaka C, Takahashi A, Nishino Y (1995) Studies of shear properties of wood-based panels by torsional vibration. Mokuzai Gakkaishi 41:887–894

    Google Scholar 

  • Guitard D (1987) Mécanique du matériau bois et composites [Mechanics of wood and composite materials]. Editions Cépaduès, Toulouse

    Google Scholar 

  • Hearmon RFS (1946) The elasticity of wood and plywood. Rev Mod Phys 18:409–440

    Article  CAS  Google Scholar 

  • Hearmon RFS (1948) The elasticity of wood and plywood. Department of Science and Industry Research, Forest Products Research Special Rep7. HMSO, London

  • Hearmon RFS (1960) An introduction to applied anisotropic elasticity. Oxford University Press, London

    Google Scholar 

  • Kollmann FFP, Côté WA (1968) Principles of wood science and technology: I. Solid wood. Springer, Berlin

    Book  Google Scholar 

  • Kubojima Y, Yoshihara H, Ohta M, Okano T (1996) Examination of the method of measuring the shear modulus of wood based on the Timoshenko theory of bending. Mokuzai Gakkaishi 42:1170–1176

    Google Scholar 

  • Kubojima Y, Yoshihara H, Ohta M, Okano T (1997) Accuracy of the shear modulus of wood obtained by the Timoshenko’s theory of bending. Mokuzai Gakkaishi 43:439–443

    CAS  Google Scholar 

  • Leissa AW (1968) Vibration of plates. NASA SP-160

  • Love AEH (1944) A treatise on the mathematical theory of elasticity. Dover, New York

    Google Scholar 

  • Nakao T, Okano T (1987) Evaluation of modulus of rigidity by dynamic plate shear testing. Wood Fiber Sci 19:332–338

    Google Scholar 

  • Nakao T, Okano T, Asano I (1984) Measurement of the anisotropic-shear modulus by the torsional-vibration method for free-free wooden beams. Mokuzai Gakkaishi 30:877–885

    Google Scholar 

  • Obataya E, Ono T, Norimoto M (2000) Vibrational properties of wood along the grain. J Mater Sci 35:2993–3001

    Article  CAS  Google Scholar 

  • Ohlsson S, Perstorper M (1992) Elastic wood properties from dynamic tests and computer modeling. J Struct Eng 118:2677–2690

    Article  Google Scholar 

  • Roohnia M, Kohantorabi M (2015) Dynamic methods to evaluate the shear modulus of wood. BioResources 10:4867–4876

    Article  CAS  Google Scholar 

  • Sobue N, Ikeda K (1999) Torsional vibration test of sugi boxed heart squared sawn timber. Mokuzai Gakkaishi 45:289–296

    Google Scholar 

  • Sobue N, Matsuo K, Ikeda K (2000) Effect of depth of a sawn slit parallel to the fiber direction on shear modulus of commercial size square timbers. Mokuzai Gakkaishi 46:242–245

    Google Scholar 

  • Tonosaki T, Saito S, Miyamoto K (2010) Evaluation of internal checks in high temperature dried sugi boxed heart square sawn timber by dynamic shear modulus. Mokuzai Gakkaishi 56:79–83

    Article  CAS  Google Scholar 

  • Yoshihara H (2009) Edgewise shear modulus of plywood measured by square-plate twist and beam flexure methods. Construct Build Mater 23:3537–3545

    Article  Google Scholar 

  • Yoshihara H (2011) Examination of the edgewise shear modulus of wood measured by dynamic square-plate twist test. Wood Res Slovak 56:311–320

    Google Scholar 

  • Yoshihara H, Maruta M (2017) Measurement of the shear moduli of spruce by torsional vibration tests using a pair of specimens with different aspect ratios. Holzforschung 71:977–984

    Article  CAS  Google Scholar 

  • Yoshihara H, Maruta M (2018) Shear moduli in the longitudinal–radial and radial–tangential planes of Sitka spruce measured by torsional vibration tests. Holzforschung 72:507–512

    Article  CAS  Google Scholar 

  • Yoshihara H, Maruta M (2019) Young’s modulus and shear modulus of open-hole spruce measured by vibration tests. Wood Sci Technol 53:1279–1294

    Article  CAS  Google Scholar 

  • Yoshihara H, Yoshinobu M (2015a) Young’s modulus and shear modulus of solid wood measured by the flexural vibration test of specimens with large height/length ratios. Holzforschung 69:493–499

    Article  CAS  Google Scholar 

  • Yoshihara H, Yoshinobu M (2015b) Measurement of the in-plane shear modulus of medium-density fibreboard by torsional and flexural vibration tests. Measurement 60:33–38

    Article  Google Scholar 

Download references

Funding

This research received no external funding.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hiroshi Yoshihara.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yoshihara, H., Maruta, M. Effect of the specimen configuration on the accuracy in measuring the shear modulus of western hemlock by torsional vibration test. Wood Sci Technol 54, 1479–1496 (2020). https://doi.org/10.1007/s00226-020-01234-w

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00226-020-01234-w

Navigation