Second-Order Inelastic Analysis of Steel Frames Using Element with Midspan and End Springs
Publication: Journal of Structural Engineering
Volume 121, Issue 3
Abstract
An efficient method for elastoplastic large-deflection analysis of steel frames using an element with plastic hinges at midspan and two ends is proposed. The need in conventional methods to divide a member into two or more elements to model the distributed loads, and the need to allow for a plastic hinge at its span is eliminated. The formation of plastic hinges is simulated as gradually softening springs. This approach prevents the overestimation of the capacity of a steel frame and also reduces the complexity in data handling. Because the element stiffness matrix is explicitly derived, the additional computational effort for forming the element matrix only involves a few algebraic calculations and is therefore minimal. The saving in the overall computer time and data input and output efforts is considerable since a single element can be used to model one beam member in the ultimate analysis of most practical structures. Most importantly, the linear structural model can be directly used for a second-order inelastic analysis, leading to a convenience and consistency in extending a linear analysis to a nonlinear analysis.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Al-Mashary, F., and Chen, W. F.(1991). “Simplified second-order inelastic analysis for steel frames.”Struct. Engrg., 69(23), 395–399.
2.
Atluri, S. N., and Shi, G. (1989). “Static and dynamic analysis of space frames with nonlinear flexible connections.”Int. J. for Numerical Methods in Engrg., Vol. 28, 2635–2650.
3.
Barsoum, R. S., and Gallagher, R. H. (1970). “Finite element analysis of torsional-flexural problems.”Int. J. for Numerical Methods in Engrg., Vol. 2, 335–344.
4.
Chan, S. L. (1988). “Geometric and material nonlinear analysis of beam-columns and frames using the minimum residual displacement method.”Int. J. for Numerical Methods in Engrg., Vol. 26, 2567–2669.
5.
Chan, S. L. (1989). “Inelastic post-buckling analysis of tubular beam-columns and frames.”J. Engrg. Struct., Vol. 11, 23–30.
6.
Chan, S. L., and Zhou, Z. H.(1993). “A pointwise equilibrium polynomial (PEP) element for nonlinear analysis of frames.”J. Struct. Engrg., ASCE, 120(6), 1703–1717.
7.
Chen, W. F., and Lui, E. M. (1991). Stability design of steel frames . CRC, Press, Inc., Boca Raton, Fla.
8.
GMNAF: geometric and material nonlinear analysis of frames; user's reference manual, 9303-3. (1993). Dept. of Civ. and Struct. Engrg., Hong Kong Polytechnic Univ., Hong Kong.
9.
Ho, W. M. G., and Chan, S. L. (1990). “A comparative study on the nonlinear numerical algorithms.”3rd Int. Conf. Adv. in Numerical Methods in Engrg., Theory and Applications, University of Swansea, U.K., 552–565.
10.
Ho, W. M. G., and Chan, S. L.(1991). “Semibifurcation and bifurcation analysis of flexibly connected steel frames.”J. Struct. Engrg., ASCE, 117(8), 2299–2319.
11.
King, W. S., White, D. W., and Chen, W. F.(1992). “Second-order inelastic analysis methods for steel frame design.”J. Struct. Engrg., ASCE, 118(2), 408–428.
12.
Kitipornchai, S., and Chan, S. L. (1990). “Chapter 4: stability and nonlinear finite element analysis of thin-walled structures.”Finite element applications to thin-walled structures, J. W. Bull, ed., Elsevier, Barking, England, 89–129.
13.
Liew, J. Y. R., and Chen, W. F. (1993). “Second-order plastic hinge based analysis.”Struct. Engrg. Rep; CE-STR-93-12, School of Civ. Engrg., Purdue Univ., West Lafayette, Ind.
14.
Load and resistance factor design [LRFD] specification for structural steel building. (1986). American Institute of Steel Construction (AISC), Chicago, Ill.
15.
Lui, E. M., and Chen, W. F.(1987). “Effects of joint flexibility on the behavior of steel frames.”Computers and Struct., 26(5), 719–732.
16.
Livesley, R. K. (1964). Matrix method of structural analysis . Pergamon Press, London, England.
17.
Meek, J. L., and Tan, H. S. (1984). “Geometrically nonlinear analysis of space frames by an incremental iterative technique.”Computer Methods in Appl. Mech. and Engrg., Vol. 47, 261–282.
18.
Oran, C.(1973). “Tangent stiffness in space frames.”J. Struct. Div., ASCE, 99(6), 987–1001.
19.
Rand, R. H. (1984). “Computer algebra in applied mathematics: an introduction to MASCYMA.” Pitman Publishing Ltd., Boston, Mass.
20.
Yau, C. Y., Ho, W. M. G., and Chan, S. L. (1992). “Elastic-plastic large deflection analysis of steel framed structures.”Asia-Pacific Symp. on Adv. in Engrg. Plasticity and Its Application, Elsevier, Hong Kong, 763–770.
21.
Yau, C. Y., and Chan, S. L.(1994). “Ultimate analysis of steel frames by a spring-in-series model.”J. Struct. Engrg., ASCE, 120(10), 2804–2819.
22.
Vogel, U. (1985). “Calibrating frames.”Stahlbau, Germany, Vol. 10, 1–7.
23.
El-Zanaty, M. H., Murray, D. M., and Bjorhovde, R. (1980). “Inelastic behavior of multi-story steel frames.”Rep. No. 83, Dept. of Struct. Engrg., University of Alberta, Edmonton, Alberta, Canada.
Information & Authors
Information
Published In
Copyright
Copyright © 1995 American Society of Civil Engineers.
History
Published online: Mar 1, 1995
Published in print: Mar 1995
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.