Buckling Analysis of Structures Composed of Tapered Members
Publication: Journal of Structural Engineering
Volume 116, Issue 7
Abstract
Based on the energy principle, the tapered elements for beam‐columns are derived and incorporated into a user‐friendly nonlinear frame analysis computer program. When compared to the methods using the conventional uniform elements or the numerical integration technique, the present approach is more accurate and/or efficient for the nonlinear analysis of tapering structures. Numerical examples demonstrating the performance of the derived tapered elements and the uses of the elements in the large deflection and snap‐through analysis of structures comprising tapered members are given. It was found that, although a tapered member may have a higher member buckling load than its uniform counterpart of same weight of material, its uses in the construction of space frames may reduce considerably the global snap‐through load of the structure, leading to a potential danger of earlier structural collapse.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Bathe, K. J. (1982). Finite element procedures in engineering. Prentice‐Hall, Inc., Englewood Cliffs, N.J.
2.
Bathe, K. J., and Bolourchi, S. (1979). “Large displacement analysis of three‐dimensional beam structues.” Int. J. Numer. Methods Engrg., 14, 961–986.
3.
Bradford, M. A., and Cuk, P. E. (1988). “Elastic buckling of tapered monosymmetric I‐beams.” J. Struct. Engrg., ASCE, 114(5), 977–996.
4.
Brown, T. G. (1981). “Lateral‐torsional buckling of tapered I‐beams.” J. Struct. Div., ASCE, 107(4), 689–697.
5.
Chan, S. L. (1988). “Geometric and material non‐linear analysis of beam‐columns and frames using the minimum residual displacement method.” Int. J. Numer. Methods in Engrg., 26, 2657–2669.
6.
Chan, S. L. (1989). “Inelastic post‐buckling analysis of tubular beam‐columns and frames.” Eng. Struct., 11(1), 23–30.
7.
Chan, S. L., and Kitipornchai, S. (1987). “Geometric non‐linear analysis of asymetric thin‐walled beam‐columns.” Engrg. Struct., 9(4), 243–253.
8.
Chini, S. A., and Wolde‐Tiusae, A. M. (1988). “Critical load and post‐buckling of arch frameworks.” J. Engrg. Mech., ASCE, 114(9), 1435–1453.
9.
Ermopoulos, J. C. (1986). “Buckling of tapered bars under stepped axial loads.” J. Struct. Engrg., ASCE, 112(6), 1346–1354.
10.
Funk, R. R., and Wang, K. T. (1988). “Stiffnesses of nonprismatic member.” J. Struct. Engrg., ASCE, 114(2), 489–494.
11.
Hancock, G. J. (1974). “A matrix non‐linear analysis of elastic thin‐walled beams.” Civ. Engrg. Trans., The Institution of Engineers, Australia, CE16(2), 168–173.
12.
Horne, M. R., Shakir‐Khalil, H., and Akhtar, S. (1979). “Stability of tapered and haunched members.” Proc. Inst. Civ. Engrg., London, U.K., 67(2), 677–694.
13.
Kitipornchai, S., and Trahair, N. S. (1972). “Elastic stability of tapered I‐beams.” J. Struct. Div., ASCE, 98(3), 713–728.
14.
Leipholz, H. (1987). Stability theory: An introduction to the stability of dynamic systems and rigid bodies. John Wiley and Sons and B. G. Teubner, Stuttgart, West Germany.
15.
Meek, J. L. (1971). Matrix structural analysis. McGraw‐Hill, New York, N.Y.
16.
Meek, J. L., and Tan, H. S. (1984). “Geometrically non‐linear analysis of space frames by an incremental iterative technique.” Comput. Methods Appl. Mech. Engrg., 47, 261–282.
17.
Morrell, P. J. B. (1979). “The influence of joint details on the torsional behaviour of thin‐walled structures having an axial discontinuity.” Proc. Int. Conf. on Thin‐walled Structures, University of Strathclyde, Glasgow, U.K.
18.
Murray, N. W. (1984). Introduction to the theory of thin‐walled structures. Oxford Engineering Series, New York, N.Y.
19.
Oran, C. T. (1973). “Tangent stiffness in space frames.” J. Struct. Div., ASCE, 99(6), 981–1001.
20.
Papadrakakis, M. (1981). “Post‐buckling analysis of spatial structures by vector iteration methods.” Comput. Struct., 14(5–6), 393–402.
21.
Przemieniecki, J. S. (1968). Theory of matrix structural analysis. McGraw‐Hill, New York, N.Y.
22.
Rand, R. H. (1984). Computer algebra in applied mathematics: An introduction to MACSYMA. Pitman Advanced Publishing Program, Boston, Mass.
23.
Shiomi, H., and Kurata, M. (1984). “Strength formula for tapered beam‐columns.” J. Struct. Engrg., ASCE, 110(7), 1630–1643.
24.
Washizu, K. (1975). Variational methods in elasticity and plasticity. 2d Ed., Pergamon Press, New York, N.Y.
25.
Vacharazittiphan, P., and Trahair, N. S. (1974). “Warping and distortion of I‐section joints.” J. Struct. Div., ASCE, 100(3), 547–564.
26.
Zienkiewicz, O. C. (1977). The finite element method. 3d Ed., McGraw‐Hill, New York, N.Y.
Information & Authors
Information
Published In
Copyright
Copyright © 1990 ASCE.
History
Published online: Jul 1, 1990
Published in print: Jul 1990
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.