Truncating Classical Solutions of Bending of Square Wood-Base Plates

Authors

  • Andy W. C. Lee

Keywords:

Wood-base plates, bending

Abstract

Classical solutions for bending of orthotropic plates consist of infinite series and flexural rigidities. The computations of solutions would not be feasible if the computer were not available. The objective of this study was to truncate classical solutions into simplified solutions. Simplified solutions consist of only flexural rigidities with coefficients. Because of the elimination of infinite series in classical solutions, the simplified solutions are easier to solve and can be calculated without using a computer. The simplified solutions give practically the same results as those of the classical solutions. Limited experimental verification of these solutions was made using southern pine plywood and composite sandwich panels (particleboard with veneer faces).

References

Lee, W. C., and E. J. Biblis. 1977. New approach for determination of elastic constants of orthotropic wood-base plates by strip bending and plate twisting. Wood Sci.9(4): 160-166.nLekhnitskh, S. G. 1968. Anisotropic plates. Translated from the second Russian edition by S. W. Tsai and T. Cheron. Gordon and Breach Science Publishers, New York.nSuperfesky, M. J., H. M. Montrey, and T. J. Ramaker. 1977. Floor and roof sheathing subjected to static load. Wood Sci.10(1):31-41.nTimoshenko, S., and S. Woinowsky-Krieger. 1959. Theory of plates and shells. McGraw-Hill Book Company. New York.n

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Published

2007-06-27

Issue

Number 2 / April 1984

Section

Research Contributions

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