Exact Stiffnesses for Tapered Members
Publication: Journal of Structural Engineering
Volume 122, Issue 10
Abstract
A simple method for deriving closed-form expressions for the components of the stiffness matrix and fixed-end forces and moments for tapered members is presented. The governing differential equations and the boundary integral method are used to obtain exact expressions for axial, torsional, and flexural stiffnesses. The necessary fixed-end forces and moments are also derived. The procedure of the proposed method is explained through a practical class of tapered members. The procedure, however, can be extended to other axial, torsional, and flexural stiffness variations. The correctness of the obtained stiffness expressions is verified through numerical examples.
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References
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Banerjee, J. R., and Williams, F. W.(1985). “Exact Bernoulli-Euler dynamic stiffness matrix for a range of tapered beams.”Int. J. Numer. Methods in Engrg., 21, 2289–2302.
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Boley, B. A.(1963). “On the accuracy of the Bernoulli-Euler theory of beams of variable section.”J. Appl. Mech., 30, 373–378.
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Information
Published In
Journal of Structural Engineering
Volume 122 • Issue 10 • October 1996
Pages: 1234 - 1239
Copyright
Copyright © 1996 American Society of Civil Engineers.
History
Published online: Oct 1, 1996
Published in print: Oct 1996
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