Research Article
Dec 1973
Anisotropic Beams by Moment-Differential Method
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VIEW THE REPLYPublication: Journal of the Engineering Mechanics Division
Volume 99, Issue 6
Abstract
In solving for the stresses in anisotropic prismatic beams using the theory of elasticity, it is found that there is a definite relationship between the normal stresses and the internal moments. For beams subjected to bending only, the normal stresses can be expressed as sums of internal moments and differentials of moments multiplied with constant coefficients. For members subjected to both bending and axial compression, the solution for normal stresses neglecting secondary effects due to deflections, can be expressed as sums of moments and differentials, and axial loads and differentials of axial loads, multiplied with constant coefficients. The general solution is in the form of an infinite series with the coefficients which can be solved for particular cases. Rather than having to solve a vast number of simultaneous equations, as in previous methods, this method provides direct solutions to anisotropic beam problems.
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Published In
Journal of the Engineering Mechanics Division
Volume 99 • Issue 6 • December 1973
Pages: 1283 - 1295
Copyright
© 1973 American Society of Civil Engineers.
History
Published in print: Dec 1973
Published online: Feb 3, 2021
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Authors
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Jun W. Lee, AM.ASCE
Grad. Student, Univ. of Wisconsin, Madison, Wisc.
John E. Johnson, M.ASCE
Prof. of Civ. Engrg., Univ. of Wisconsin, Madison, Wisc.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.