Buckling of Columns of Variable Flexural Rigidity
Publication: Journal of Engineering Mechanics
Volume 118, Issue 3
Abstract
The stability of columns with continuous flexural rigidity monotonically changing along the length of the beam is considered. A new analytical solution for the buckling load is developed in terms of Airy functions for pin-ended columns. Buckling loads for different modes and upper bounds are given when the flexural rigidity at any cross section multiplied by a linear function of position stays constant along the beam. The buckling load for any mode is less than the critical load corresponding to a column of the same length and of constant flexural rigidity whose value is the minimum along the beam of variable flexural rigidity studied. The solution has applications to tapered pin-ended columns with variable modulus of elasticity.
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References
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Abramowitz, M., and Stegun, I. A., (1965). Handbook of mathematical functions. Dover Publications, New York, N.Y.
2.
Ku, A. B. (1977). “Upper and lower bounds of buckling loads.” Int. J. Solids and Struct., 13(8), 709–715.
3.
Schmidt, R. (1989). “Lower bounds for eigenvalues via Rayleigh's method.” J. Engrg. Mech., ASCE, 115(6), 1365–1370.
4.
Schreyer, H. L., and Shih, P. Y., (1973). “Lower bounds to column buckling loads.” J. Engrg. Mech., ASCE, 99(5), 1011–1022
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 118 • Issue 3 • March 1992
Pages: 640 - 643
Copyright
Copyright © 1992 ASCE.
History
Published online: Mar 1, 1992
Published in print: Mar 1992
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