Inelastic Behavior of Multistory Partially Restrained Steel Frames. Part I
Publication: Journal of Structural Engineering
Volume 125, Issue 8
Abstract
This paper outlines the development of a finite element for use in the inelastic second-order analysis of partially (PR) and fully (FR) restrained planar steel frames. The finite element considers spread of plastification within the cross section and along the member length; centroidal shift of the elastic core; a variety of residual stress distributions; and P-Δ effects. Nonlinear spring elements are used in modeling beam-end connections. An arc-length technique (with iteration) is used in the analysis of individual beam-columns, while constant-work simple Euler stepping (no iteration) is used in the nonlinear analysis of frameworks. Full nonlinear load-deformation response of planar beam-columns and frames is computed. Accuracy is demonstrated through comparison with previously published analytical results. It is shown that concentrated plasticity models may lead to an overestimation of connection rotation in PR frameworks. A companion paper discusses the inelastic ultimate load analysis of large steel PR frameworks and evaluation of connection classification systems.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Abdel-Ghaffar, M. M. ( 1992). “Post-failure analysis for steel structures,” PhD dissertation, Purdue University, West Lafayette, Ind.
2.
Ackroyd, M. H. ( 1979). “Nonlinear inelastic stability of flexibly connected plane steel frames,” PhD dissertation, University of Colorado, Boulder, Colo.
3.
Ackroyd, M. H. and Gerstle, K. H. (1982). “Behavior of type 2 steel frames.”J. Struct. Div., ASCE, 108(7), 1541–1555.
4.
Al-Bermani, F. G. A. and Kitipornchai, S. (1990). “Elasto-plastic large deformation analysis of thin-walled structures.” Engrg. Struct., 12(1), 28–36.
5.
Al-Bermani, F. G. A. and Kitipornchai, S. (1992). “Elastoplastic nonlinear analysis of flexibly jointed space frames.”J. Struct. Engrg., ASCE, 118(1), 108–127.
6.
ASCE Committee on Compression Members. (1990). “Bibliography of steel columns. Rep., Prepared by the Committee on Struct. Div., New York.
7.
Attalla, M. R., Deierlein G. G., and McGuire, W. (1995). “Spread of plasticity: Quasi-plastic hinge approach.”J. Struct. Engrg., ASCE, 120(8), 2451–2473.
8.
Bjorhovde, R., Colson, A., and Brozetti, J. (1990). “Classification system for beam-to-column connections.”J. Struct. Engrg., ASCE, 11(11), 3059–3076.
9.
Chan, S. L. (1989). “Inelastic post-buckling analysis of tubular beam-columns and frames.” Engrg. Struct., 11(1), 23–30.
10.
Chan, S. L. and Kitipornchai, S. (1988). “Inelastic post-buckling behavior of tubular struts.”J. Struct. Engrg., ASCE, 114(5), 1091–1105.
11.
Chan, S. L., Kitipornchai, S., and Al-Bermani, F. G. A. (1991). “Elasto-plastic analysis of box-beam-columns including local buckling effects.”J. Struct. Engrg., ASCE, 117(7), 1946–1962.
12.
Chen, W. F. and Lui, E. M. (1991). Stability design of steel frames. CRC, Boca Raton, Fla.
13.
Cook, N. E. ( 1983). “Strength and stiffness of AISC type 2 steel frames,” PhD dissertation, University of Colorado, Boulder, Colo.
14.
Cook, N. E. and Gerstle, K. H. (1987). “Safety of type 2 steel frames.”J. Struct. Engrg., ASCE, 113(7), 1444–1455.
15.
Crisfield. (1991). Non-linear finite element analysis of solids and structures—Volume 1: Essentials. John Wiley, New York.
16.
Deierlein G. G., Hsieh, S.-H., and Shen, Y.-J. (1990). “Computer-aided design of steel structures with flexible connections.” Proc., Nat. Steel Constr. Conf., AISC, American Institute of Steel Construction, Chicago.
17.
Deierlein G. G., Hsieh, S.-H., Shen, Y.-J., and Abel, J. F. (1991). “Nonlinear analysis of steel frames with semi-rigid connections using the capacity spectrum method.” Tech. Rep. NCEER-91-0008, Nat. Ctr. for Earthquake Engrg. Res., State University of New York at Buffalo.
18.
El-Zanaty, M. H., Murray, D. W., and Bjorhovde, R. (1980). “Inelastic behavior of multistory steel frames.” Struct. Engrg. Rep. No. 83, Dept. of Civ. Engrg., University of Alberta, Alta., Canada.
19.
European Convention for Constructional Steelwork (ECCS). (1984). “Ultimate limit state calculation of sway frames with rigid joints.” Rep., Tech. Committee 8, Struct. Stability Tech. Working Group 8.2—Sys., Brussels, Belgium.
20.
Foley, C. M. ( 1996). “Inelastic behavior of partially restrained steel frames using parallel processing and supercomputers,” PhD dissertation, Marquette University, Milwaukee.
21.
Foley, C. M. and Vinnakota, S. (1997a). “Inelastic analysis of partially restrained unbraced steel frames.” Engrg. Struct., 19(11), 891–902.
22.
Foley, C. M. and Vinnakota, S. (1999). “Inelastic behavior of multi-story partially restrained steel frames. Part II.”J. Struct. Engrg., ASCE, 125(8), 862–869.
23.
Goto, Y. and Miyashita, S. (1996). “New classification system for semi-rigid connections considering overall behavior of frames.” Proc., Semi-Rigid Struct. Connections Colloquim, Int. Assn. for Bridge and Struct. Engrg. (IABSE), Zurich, Switzerland, 95–104.
24.
King, W. S. ( 1990). “Simplified second-order inelastic analysis for frame design,” PhD dissertation, Purdue University, West Lafayette, Ind.
25.
King, W. S. (1994). “The limit loads of steel semi-rigid frames analyzed with different methods.” Comp. & Struct., 51(5), 475–487.
26.
King, W. S., White, D. W., and Chen, W. F. (1990). “A modified plastic hinge method for second-order inelastic analysis of steel rigid frames.” Struct. Engrg. Rep. CE-STR-90-13, Purdue University, West Lafayette, Ind.
27.
Kitipornchai, S., Al-Bermani, F. G. A., and Chan, S. L. (1988). “Geometric and material nonlinear analysis of structures comprising rectangular hollow sections.” Engrg. Struct., 10(1), 13–23.
28.
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.
29.
Lehigh. (1965). “Plastic design of multi-story frames—lecture notes.” Fritz Engrg. Lab. Rep. No. 273.20, Lehigh University, Bethlehem, Pa.
30.
Load and resistance factor design specifications for structural steel buildings. (1993). American Institute of Steel Construction, Chicago.
31.
Lu, L.-W., and Kamalvund, H. (1968). “Ultimate strength of laterally loaded columns.”J. Struct. Div., ASCE, 94(6), 1505–1524.
32.
Lui, E. M. and Chen, W. F. (1986). “Analysis and behavior of flexibly jointed frames.” Engrg. Struct., 8, 107–118.
33.
Meek, J. L. and Lin, W. J. (1990). “Geometric and material nonlinear analysis of thin-walled beam-columns.”J. Struct. Engrg., ASCE, 116(6), 1473–1490.
34.
Powell, G. and Simons, J. (1981). “Improved iteration strategy for nonlinear structures.” Int. J. Numer. Methods in Engrg., 17, 1455–1467.
35.
Salmon, C. G. and Johnson, J. E. (1990). Steel structures: design and behavior, 3rd Ed., HarperCollins, New York.
36.
Vinnakota, S. ( 1967). “Inelastic stability analysis of rigid jointed frames,” PhD dissertation, Federal Institute of Technology, Lausanne, Switzerland.
37.
Vinnakota, S. (1971). “Inelastic stability of frames.” Bulletin Technique de la Suisse Romande, 21(Oct.), Lausanne, Switzerland, 491–499, (in French).
38.
Vinnakota, S. (1972). “Elastic-plastic instability of multi-story frames.” Proc., Int. Conf. on Plng. and Des. of Tall Buildings: Struct. Des. of Tall Steel Build., Lehigh University, Bethlehem, Pa.
39.
Vinnakota, S. (1974). “Elasto-plastic stability of frames.” Int. Civ. Engrg., Israel, Vol. III, 37–48.
40.
Vinnakota, S. (1982). “Planar strength of restrained beam-columns.”J. Struct. Div., ASCE, 108(11), 2496–2516.
41.
Vinnakota, S. and Badoux, J. C. (1971). “Strength of laterally loaded (inelastically) restrained beam-columns.” Civ. Engrg. Trans., Inst. of Civ. Engrs., Canberra, Australia, (Oct.), 107–114.
42.
Vogel, U. (1985). “Calibrating frames.” Stahlbau, Cologne, Germany, (Oct.), 295–301.
43.
Yang, Y. B. ( 1984). “Linear and nonlinear analysis of space frames with nonuniform torsion using interactive computer graphics,” PhD dissertation, Cornell University, Ithaca, N.Y.
44.
Ziemian, R. D. ( 1990). “Advanced methods of inelastic analysis in the limit states of steel structures,” PhD dissertation, Cornell University, Ithaca, N.Y.
Information & Authors
Information
Published In
History
Received: Feb 18, 1997
Published online: Aug 1, 1999
Published in print: Aug 1999
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.