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Theoretical and experimental considerations on the neutral axis of wood beams with a hole in different locations

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Published/Copyright: May 4, 2018
Holzforschung
From the journal Holzforschung Volume 72 Issue 9

Abstract

Holes contribute to the non-homogeneous nature of solid wood and shift the neutral axis of wood beams away from the centroid. Based on the plane-section assumption and idealized trapezoidal distribution, new calculating formulas will be presented in terms of the location of neutral axis for clear beams and wood beams with a hole at the center, compression zone and tension zone. To verify the results of theoretical analysis and formulas, four-point bending experiments of wood beams were performed by a digital image correlation (DIC) technique. There is a reasonable agreement between calculated and experimental results with a hole at the center or in the compression zone of the beams. Concerning a hole in the tension zone, on the other hand, the calculated locations of neutral axis are not in agreement with the experimental results, due to the plastic behavior on both the compression and tension zones of the beams in the inelastic stage.

Keywords: digital image correlation (DIC); hole; idealized trapezoidal distribution; inelastic stage; neutral axis; plane-section assumption; wood beam
Corresponding author: Dong Zhao, Professor, School of Technology, Beijing Forestry University, Beijing 100083, P.R. China

  1. Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: National Natural Science Foundation of China (No. 11502022); the Fundamental Research Fund for the Central Universities, (No. 2015ZCQ-GX-02); Beijing Natural Science Foundation (No. 2182045).

  3. Employment or leadership: None declared.

  4. Honorarium: None declared.

References

Ardalany, M., Deam, B., Fragiacomo, M., Crews, K. Tension perpendicular to grain strength of wood, Laminated Veneer Lumber (LVL) and cross banded LVL (LVL-C). Paper presented at the 21st Australasian conference on the mechanics of structures and materials, Melbourne, Victoria, Australia, 2010.10.1201/b10571-162Search in Google Scholar

Ardalany, A., Fragiacomo, M., Deam, B., Crews, K. (2013) Analytical cracking load estimation of laminated veneer lumber (LVL) beams with holes. Europ. J. Wood Wood Prod. 71:37–48.10.1007/s00107-012-0646-3Search in Google Scholar

Betts, S.C., Miller, T.H., Gupta, R. (2010) Location of the neutral axis in wood beams: A preliminary study. Wood Mat. Sci. Engin. 5:173–180.10.1080/17480272.2010.500060Search in Google Scholar

Brabec, M., Tippner, J., Sebera, V., Milch, J., Rademacher, P. (2015) Standard and non-standard deformation behaviour of European beech and Norway spruce during compression. Holzforschung 69:1107–1116.10.1515/hf-2014-0231Search in Google Scholar

Buksnowitz, C., Hackspiel, C., Hofstetter, K., Müller, U., Gindl, W., Teischinger, A., Konnerth, J. (2010) Knots in trees: strain distribution in a naturally optimized structure. Wood Sci. Technol. 44:389–398.10.1007/s00226-010-0352-4Search in Google Scholar

Davis, P.M. An Examination of the Neutral Axis of Wood Beams. University Honors College, Oregon State University, Oregon, United States, 2010.Search in Google Scholar

Davis, P.M., Gupta, R., Sinha, A. (2012) Revisiting the neutral axis in wood beams. Holzforschung 66:497–503.10.1515/hf.2011.180Search in Google Scholar

Hummer, T., Dolan, D., Wolcott, M. Tension perpendicular to grain of wood, Lamianted Veneer Lumber, and a wood plastic composite. Paper presented at the 9th world conference on timber engineering (WCTE2006), Portland, 2006.Search in Google Scholar

Knorz, M., Niemz, P., van de Kuilen, J.-W. (2016) Measurement of moisture-related strain in bonded ash depending on adhesive type and glueline thickness. Holzforschung 70:145–155.10.1515/hf-2014-0324Search in Google Scholar

Kollmann, F.P., Cote, W.A. Principles of Wood Science and Technology I: Solid Wood. Springer-Verlag New York Inc., New York, 1968.10.1007/978-3-642-87928-9Search in Google Scholar

Lee, S.S., Jeong, G.Y. (2018) Effects of sample size on swelling and shrinkage of Larix kaempferi and Cryptomeria japonica as determined by digital caliper, image analysis, and digital image correlation (DIC). Holzforschung 72:477–488.10.1515/hf-2017-0120Search in Google Scholar

Milch, J., Tippner, J., Sebera, V., Brabec, M. (2016) Determination of the elasto-plastic material characteristics of Norway spruce and European beech wood by experimental and numerical analyses. Holzforschung 70:1081–1092.10.1515/hf-2015-0267Search in Google Scholar

Milch, J., Brabec, M., Sebera, V., Tippner, J. (2017) Verification of the elastic material characteristics of Norway spruce and European beech in the field of shear behaviour by means of digital image correlation (DIC) for finite element analysis (FEA). Holzforschung 71:405–414.10.1515/hf-2016-0170Search in Google Scholar

Miller, T.H. Location of the Neutral Axis in Wood Beams. Oregon State University, Oregon, 2007.Search in Google Scholar

Mirzaei, B., Sinha, A., Nairn, J.A. (2016) Assessing the role of adhesives in durability of laminated veneer lumber (LVL) by fracture mechanics. Holzforschung 70:763–771.10.1515/hf-2015-0193Search in Google Scholar

Peng, M., Ho, Y.-C., Wang, W.-C., Chui, Y.H., Gong, M. (2012) Measurement of wood shrinkage in jack pine using three dimensional digital image correlation (DIC). Holzforschung 66:639–643.10.1515/hf-2011-0124Search in Google Scholar

Sinha, A, Voigt, L.R., Miller, T.H., Gupta, R. (2012) Neutral axis of full-size lumber with multiple knots. Adv. Civil Engin. Mat. 1:11–15.10.1520/ACEM20120007Search in Google Scholar

Stanzl-Tschegg, S.E., Navi, P. (2009) Fracture behaviour of wood and its composites. A review COST Action E35 2004–2008: wood machining – micromechanics and fracture. Holzforschung 63:139–149.10.1515/HF.2009.012Search in Google Scholar

Tukiainen, P., Hughes, M. (2016) The cellular level mode I fracture behaviour of spruce and birch in the RT crack propagation system. Holzforschung 70:157–165.10.1515/hf-2014-0297Search in Google Scholar

Received: 2017-10-27
Accepted: 2018-03-26
Published Online: 2018-05-04
Published in Print: 2018-09-25

©2018 Walter de Gruyter GmbH, Berlin/Boston

Articles in the same Issue

  1. Frontmatter
  2. Original Articles
  3. Extractives of Cercidiphyllum japonicum twigs: isolation and structural elucidation of a new galloylflavonol glycoside, anomeric tannins and flavonoids
  4. Preparation of low-cost carbon fiber precursors from blends of wheat straw lignin and commercial textile-grade polyacrylonitrile (PAN)
  5. Comparison of six WPCs made of organo-montmorillonite-modified fibers of four trees, moso bamboo and wheat straw and poly(lactic acid) (PLA)
  6. Synthesis of phenol formaldehyde (PF) resin for fast manufacturing laminated veneer lumber (LVL)
  7. Reducing formaldehyde emission from wood-based panels by modification of UF and MUF resins with condensates obtained from kiln-drying of wood
  8. Analysis of the hydrolysates from cured and uncured urea-formaldehyde (UF) resins with two F/U mole ratios
  9. Theoretical and experimental considerations on the neutral axis of wood beams with a hole in different locations
  10. Axial tensile properties and flexibility characteristics of elementary units from multidimensional bamboo-based composites: radial and tangential moso bamboo slivers
  11. Optical characteristics of Douglas fir at various densities, grain directions and thicknesses investigated by near-infrared spatially resolved spectroscopy (NIR-SRS)
  12. Effect of thermal modification on the micromorphology of decay of hardwoods and softwoods by the white rot fungus Pycnoporus sanguineus
  13. Short Note
  14. Hydrolytic and oxidative enzyme production through cultivation of Pleurotus ostreatus on pulp and paper industry wastes
https://doi.org/10.1515/hf-2017-0174
Keywords for this article
digital image correlation (DIC); hole; idealized trapezoidal distribution; inelastic stage; neutral axis; plane-section assumption; wood beam

Articles in the same Issue

  1. Frontmatter
  2. Original Articles
  3. Extractives of Cercidiphyllum japonicum twigs: isolation and structural elucidation of a new galloylflavonol glycoside, anomeric tannins and flavonoids
  4. Preparation of low-cost carbon fiber precursors from blends of wheat straw lignin and commercial textile-grade polyacrylonitrile (PAN)
  5. Comparison of six WPCs made of organo-montmorillonite-modified fibers of four trees, moso bamboo and wheat straw and poly(lactic acid) (PLA)
  6. Synthesis of phenol formaldehyde (PF) resin for fast manufacturing laminated veneer lumber (LVL)
  7. Reducing formaldehyde emission from wood-based panels by modification of UF and MUF resins with condensates obtained from kiln-drying of wood
  8. Analysis of the hydrolysates from cured and uncured urea-formaldehyde (UF) resins with two F/U mole ratios
  9. Theoretical and experimental considerations on the neutral axis of wood beams with a hole in different locations
  10. Axial tensile properties and flexibility characteristics of elementary units from multidimensional bamboo-based composites: radial and tangential moso bamboo slivers
  11. Optical characteristics of Douglas fir at various densities, grain directions and thicknesses investigated by near-infrared spatially resolved spectroscopy (NIR-SRS)
  12. Effect of thermal modification on the micromorphology of decay of hardwoods and softwoods by the white rot fungus Pycnoporus sanguineus
  13. Short Note
  14. Hydrolytic and oxidative enzyme production through cultivation of Pleurotus ostreatus on pulp and paper industry wastes
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