TECHNICAL PAPERS
Aug 1, 1991

Semibifurcation and Bifurcation Analysis of Flexibly Connected Steel Frames

Publication: Journal of Structural Engineering
Volume 117, Issue 8

Abstract

The critical load of a steel frame structure is dependent on joint details and flexibility. For a conventional type of skeletal structure made up of beam and column elements, the geometrical change is normally negligible. However, the variation of the joint stiffness may be significant near the ultimate limit state. In such cases, the rigorous second‐order nonlinear analysis for determining the maximum load is cost‐ineffective, while the bifurcation load approach is erroneous, because the change in connection properties with respect to the applied loads is not known. This paper introduces a numerical procedure called the semibifurcation method for the determination of the buckling load of steel frames that does not suffer from the drawbacks of either method. In the proposed technique, the variation of the joint stiffness is taken into account in the calculation of the buckling load of a steel frame. This leads to a significant saving of computer time without a notable reduction in accuracy for most conventional and braced steel buildings.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Ang, K. M., and Morris, G. A. (1984). “Analysis of three dimensional frames with flexible beam‐column connections.” Can. J. Civ. Engrg., 11, 245–254.
2.
Baker, J. F. (1963). The steel skeleton; Vol. 1: Elastic behavior and design. University Press, Cambridge, England.
3.
Bathe, K. J. (1982). Finite element procedures in engineering analysis. Prentice‐Hall, Englewood Cliffs, N.J.
4.
Batho, C., and Rowan, H. C. (1934). “Investigation on beam and stanchion connections.” 2nd Report of the Steel Structures, Her Majesty's Stationery Office, London, England.
5.
Chan, S. L. (1988). “Geometric and material nonlinear analysis of beam‐columns and frames using the minimum residual displacement method.” Int. J. Numer. Methods Engrg., 26, 2657–2669.
6.
Chan, S. L., and Ho, W. M. G. (1990). “A comparative study on the nonlinear algorithms.” Proc., 3rd Int. Conf. on Advances in Numerical Methods in Engineering, Theory and Applications, University College, Swansea, U.K.
7.
Chan, S. L., So, A. K. W., and Ho, W. M. G. (1990). “User‐friendly computer analysis of space trusses and frames.” Proc. 4th Int. Conf. on Steel Structures and Space Frames, 35–40.
8.
Chen, W. F., and Santathadaporn, S. (1968). “Review of column behavior under biaxial loading.” J. Struct. Engrg., ASCE, 94(12), 2999–3021.
9.
Frye, M. J., and Morris, G. A. (1975). “Analysis of flexibly connected steel frames.” Can. J. Civ. Engrg., 2(3), 280–291.
10.
Gaiotti, R., and Smith, B. S. (1989). “P‐delta analysis of building structures.” J. Struct. Engrg., ASCE, 115(4), 755–770.
11.
Goto, Y., and Chen, W. F. (1987). “On the computer‐based design analysis for the flexibly jointed frames.” J. Constr. Steel Res., 8, 203–231.
12.
Jones, S. W., Kirby, P. A., and Nethercot, D. A. (1983). “The analysis of frames with semi‐rigid connections—A state‐of‐the‐art report.” J. Constr. Steel Res., 3(2), 2–13.
13.
Kitipornchai, S., and Chan, S. L. (1987). “Nonlinear finite element analysis of angle and tee beam‐columns.” J. Struct. Engrg., ASCE, 113(4), 721–739.
14.
Kitipornchai, S., and Chan, S. L. (1989). “Stability and nonlinear finite element analysis of thin‐walled structures.” Finite element applications to thin‐walled structures, J. W. Bull, ed., Elsevier Applied Science Publishers, Essex, U.K., 89–129.
15.
Lightfoot, E., and Le Messurier, A. P. (1974). “Elastic analysis of frameworks with elastic connections.” J. Struct. Div., ASCE, 100(6), 1297–1309.
16.
Lui, E. M., and Chen, W. F. (1987a). “Effects of joint flexibility on the behavior of steel frames.” Comput. Struct., 26(5), 719–732.
17.
Lui, E. M., and Chen, W. F. (1987b). “Steel frame analysis with flexible joints.” J. Constr. Steel Res., 8, 161–202.
18.
Lui, E. M., and Chen, W. F. (1988). “Behavior of braced and unbraced semi‐rigid frames.” Int. J. Solids Struct., 24(9), 893–913.
19.
Meek, J. L., and Tan, H. S. (1983). “Large deflection and post‐buckling analysis of two and three dimensional elastic spatial frames.” Research Rep. CE49, Dept. of Civ. Engineering, Univ. of Queensland, Australia.
20.
Meek, J. L., and Tan, H. S. (1984). “Geometrically nonlinear analysis of space frames by an iterative incremental technique.” Comput. Methods Appl. Mech. Engrg., 41, 261–282.
21.
Merchant, W. (1954). “The failure load of rigid jointed frameworks as influenced by stability.” Struct. Engr., 32, 185–190.
22.
Murray, N. W. (1984). Introduction to the theory of thin‐walled structures. Oxford Engineering Series.
23.
Nee, K. M., and Haldar, A. (1988). “Elastoplastic nonlinear post‐buckling analysis of partially restrained space structures.” Comput. Methods Appl. Mech. Engrg., 71, 69–97.
24.
Nethercot, D. A., and Chen, W. F. (1988). “Effects of connections on columns.” J. Constr. Steel Res., 10, 201–239.
25.
Pogg, C. (1988). “A finite element model for the analysis of flexibility connected steel frames.” Int. J. Numer. Methods Engrg., 26, 2239–2254.
26.
Ramberg, W., and Osgood, W. R. (1943). “Description of stress‐strain curves by three parameters.” NACA Technical Report No. 902
27.
Rand, R. H. (1984). Computer algebra in applied mathematics: An introduction to MACSYMA. Pitman Publishing Ltd., Boston, Mass.
28.
Rathbun, J. C. (1936). “Elastic properties of riveted connections.” Trans., ASCE, 101, 524–563.
29.
Shi, G., and Atluri, S. N. (1989). “Static and dynamic analysis of space frames with nonlinear flexible connections.” Int. J. Numer. Methods Engrg., 28, 2635–2650.
30.
Yu, C. H., and Shanmugam, N. E. (1986). “Stability of frames with semi‐rigid joints.” Comput. Struct., 23(5), 639–648.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 117Issue 8August 1991
Pages: 2299 - 2319

History

Published online: Aug 1, 1991
Published in print: Aug 1991

Permissions

Request permissions for this article.

Authors

Affiliations

W. M. G. Ho
Grad. Student, Dept. of Civ. and Struct. Engrg., Hong Kong Polytech., Hong Kong
S. L. Chan
Sr. Lect., Dept. of Civ. and Struct. Engrg., Hong Kong Polytech., Hong Kong

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share