Power Series Stress Function for Anisotropic and Orthotropic Beams

Authors

  • B. A. Jayne
  • R. C. Tang

Abstract

The characteristic fourth-order partial differential equation for two-dimensional elastic anisotropic and orthotropic materials is solved, using a doubly infinite power series. Two specific problems are presented to illustrate the use of power series; the simply supported anisotropic beam under a uniformly distributed load, and an orthotropic cantilever under triangular and concentrated end load. Results are compared with those of elementary bending theory.

References

Airy, G. B. 1863. On the strains in the interior of beams. Phil. Trans. Roy. Soc., 153: 49.nHearmon, R. F. S. 1951. Elasticity of wood and plywood. H. M. S. Stationery Office, London.nLekhnitskii, S. G. 1947. Anisotropic plates. OGIZ Gostekhizdat M-L.nNeau, C. Y. 1956. A direct method for determining Airy polynomial stress functions. J. Appl. Mech., 23(3).nSechler, E. E. 1961. Elasticity in engineering. John Wiley and Sons, New York.nTimoshenko, S. and J. N. Goodier. 1951. Theory of elasticity. McGraw-Hill, Inc., New York.nWang, C. T. 1953. Applied elasticity. McGraw-Hill, Inc., New York.n

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Published

2007-06-19

Issue

Number 2 / Summer 1970

Section

Research Contributions

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