Inelastic and Stability Analysis of Flexibly Connected Steel Frames by Springs‐in‐Series Model
Publication: Journal of Structural Engineering
Volume 120, Issue 10
Abstract
A beam‐column element with springs connected in series is presented for efficient and effective geometric and material nonlinear analysis of steel frames with semirigid connections. When incorporated into a computer program for nonlinear analysis of steel framed structures, the effects of semirigid connections and material yielding can be accounted for in a simple and direct manner. Proposed mathematical models for various joint types and assumed patterns for material yielding can also be simulated independently, while the combined effect can be included in the analysis automatically. The obvious and direct method of adding the connection and plastic springs to the element matrix and to condense out the internal or dummy degrees of freedom for the final element matrix is also discussed in this paper and noted to be computationally infeasible due to the finite accuracy in computer analysis and the odd values of very large and small stiffness encountered during an ultimate analysis. This paper proposes an efficient and simple method to trace the equilibrium path of steel frames, allowing for geometrical, material, and joint stiffness nonlinearities up to the ultimate load. The benchmarked problem (Vogel's six‐story frame) is analyzed and extended to include the effects of semirigid connections, which is new and is recommended to be used for validation of computer programs for this type of analysis.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Al‐Mashary, and Chen, W. F. (1991). “Simplified second‐order inelastic analysis for steel frames.” Struct. Engrg., 69, 395–399.
2.
Anderson, D., and Kavianpour, K. (1991). “Analysis of steel frames with semi‐rigid connections.” Struct. Engrg. Rev., 3, 79–87.
3.
Azizinamini, A., Bradburn, J. H., and Radziminiski, J. B. (1985). “Static and cyclic behavior of semi‐rigid steel beam‐column connections.” Tech. Rep., Department of Civil Engineering, University of South Carolina, Columbia, S.C.
4.
Chan, S. L. (1988). “Geometric and material nonlinear analysis of beam‐columns and frames using the minimum residual displacement method.” Int. J. Numerical Methods in Engrg., 26, 2657–2669.
5.
Chan, S. L. (1989). “Inelastic post‐buckling analysis of tubular beam‐columns and frames,” J. Engrg. Struct., 11, 23–30.
6.
Chen, W. F., and Chan, S. L. “Second order inelastic analysis of steel frames using element with mid‐span and end springs.” Struct. Engrg. Rep. No. CE‐STR‐93‐22, School of Civil Engineering, Purdue University, West Lafayette, Ind.
7.
Duan, L., and Chen, W. F. (1989). “Design interaction equation for steel beam‐columns.” J. Struct. Engrg., ASCE, 115(5), 1225–1243.
8.
Ho, W. M. G., and Chan, S. L. (1993). “An accurate and efficient method for large deflection analysis of frames with semi‐rigid connections,” J. Constructional Steel Res., 26, 171–191.
9.
Johnson, N. D., and Walpole, W. R. (1981). “Bolted end‐plate beam‐to‐column connections under earthquake type loading.” Res. Rep. 81‐7, Department of Civil Engineering, University of Canterbury, Christchurch, New Zealand.
10.
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.
11.
Kishi, N., and Chen, W. F. (1986). “Data base of steel beam‐to‐column connections.” Struct. Engrg. Rep. No. CE‐STR‐86‐26; Vols. I and II, School of Civil Engineering, Purdue University, West Lafayette, Ind.
12.
Kishi, N., Chen, W. F., Goto, Y., and Matsuoka K. G. (1992). “Design aid of semi‐rigid connections for frame analysis.” Struct. Engrg. Rep. No. CE‐STR‐92‐24, School of Civil Engineering, Purdue University, West Lafayette, Ind.
13.
Kitipornchai, S., and Al‐Bermani, F. G. A. (1992). “Elasto‐plastic nonlinear analysis of flexibly jointed space frames.” J. Struct. Engrg., ASCE, 108(1), 108–127.
14.
Kitipornchai, S., Al‐Bermani, F. G. A., and Chan, S. L. (1990). “Elasto‐plastic finite element models for angle steel frames.” J. Struct. Engrg., ASCE, 116(10), 2567–2581.
15.
Lui, E. M., and Chen, W. F. (1986). “Analysis and behavior of flexibly jointed frames.” Engrg. Struct., 8, 107–118.
16.
Lui, E. M., and Chen, W. F. (1988). “Behavior of braced and unbraced semi‐rigid frames.” Int. J. Solids Struct., 24(9), 893–913.
17.
Orbison, J. G., McGuire, W., and Abel, J. F. (1982). “Yield surface applications in nonlinear steel frame analysis.” Computer Methods in Appl. Mech. and Engrg., 33, 557–573.
18.
Ostrander, J. R. (1970). “An experimental investigation of end‐plate connections,” Master's thesis, University of Saskatchewan, Saskatoon, Saskatchewan, Canada.
19.
Powell, G. H., and Chen, P. F. S. (1986). “3D beam‐column element with generalized plastic hinges,” J. Engrg. Mech., ASCE, 112(7) 627–641.
20.
Richard, R. M., Kreigh, J. D., and Hormby, D. E. (1982). “Design of single plate framing connections with A307 bolts.” Engrg. J. AISC, 19(4), 209–213.
21.
Shi, G., and Atluri, S. N. (1989). “Static and dynamic analysis of space frames with nonlinear flexible connections.” Int. J. Numerical Methods in Engrg., 28, 2635–2650.
22.
Vogel, U. (1985). Stahlbau, 54(Oct.), 295–301.
23.
Yang, T. Y., and Sunil, S. (1984). “A simple element for static and dynamic response of beams with material and geometric nonlinearities.” Int. J. Numerical Methods in Engrg., 20, 851–867.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 120 • Issue 10 • October 1994
Pages: 2803 - 2819
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Jan 15, 1993
Published online: Oct 1, 1994
Published in print: Oct 1994
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.