Finite‐Element Nonlinear Analysis of Stressed‐Arch Frames
Publication: Journal of Structural Engineering
Volume 117, Issue 10
Abstract
The paper describes a nonlinear analysis that can be applied to study the strength and behavior of stressed‐arch frames. The unique feature of the structural system is the way the arches are erected without the use of cranes or scaffolding but by the use of a posttensioning process. For some highly curved structures, the top chord may be plastically deformed during the erection procedure. The finite‐element nonlinear analysis was developed to simulate the geometric nonlinear behavior and plasticity in the stressed‐arch, particularly the top chord. The paper describes the nonlinear analysis including the arch elements used, the implementation of plasticity, and the iterative strategies employed to solve the nonlinear problem. A series of tests on panels removed from the stressed‐arch frames, which have been described in earlier papers and reports, is simulated using the nonlinear analysis to verify its accuracy for application to stressed‐arch frames. A brief description of the application of the nonlinear analysis and panel tests to complete systems is also provided in the paper.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Armen, H. (1979). “Assumptions, models, and computational methods for plasticity,” Computers and Struct., 10(1/2), 161–174.
2.
Beck, V. R., and Lay, M. G. (1972). “Structural tests on cold‐rolled hollow sections.” Report S5/18, Melbourne Research Laboratories, Melbourne, Australia.
3.
“Cabled truss curves as it rises.” (1988). Engrs. News‐Record, 221(15), October 13, 14–15.
4.
Clarke, M. J., and Hancock, G. J. (1989). “A finite element nonlinear analysis of stressed arch frames.” Res. Report No. R605, School of Civil and Mining Engineering, University of Sydney, Australia.
5.
Clarke, M. J., and Hancock, G. J. (1990). “A study of incremental‐iterative strategies for nonlinear analyses.” Int. J. for Numerical Methods in Engrg., 29(7), 1365–1391.
6.
Cook, R. D. (1981). Concepts and applications of finite element analysis, 2nd Ed., John Wiley and Sons, New York, N.Y.
7.
Crisfield, M. A. (1981). “A fast incremental/iterative solution procedure that handles ‘Snap‐through.’” Computers and Struct., 13(1–3), 55–62.
8.
Davison, T. A., and Birkemoe, P. C. (1983). “Column behaviour of cold‐formed hollow structural steel shapes.” Canadian J. of Civ. Engrg., 10(1), 125–141.
9.
Hancock, G. J., Key, P. W., and Olsen, C. J. (1988). “Structural behavior of a stressed arch structural system.” Recent Developments in Cold‐Formed Steel Design and Construction: 9th Int. Specialty Conf. on Cold‐Formed Steel Struct., University of Missouri‐Rolla, St. Louis, Mo.
10.
Hancock, G. J., Key, P. W., Clarke, M. J., and Olsen, C. J. (1989). “Structural tests on the top chord of Strarch (stressed arch) frames.” Proc., Pacific Struct. Steel Conf., Australian Institute of Steel Construction, Gold Coast, Queensland, Australia, 557–569.
11.
Kato, B. (1982). “Cold formed welded steel tubular members,” Axially compressed structures. Applied Science, New York, N.Y.
12.
Key, P. W., Hasan, S. W., and Hancock, G. J. (1988). “Column behavior of cold‐formed hollow sections.” J. Struct. Engrg., ASCE, 114(2), 390–407.
13.
Mendelson, A. (1968). Plasticity: Theory and application. Macmillan, New York, N.Y.
14.
Nyssen, C. (1981). “An efficient and accurate iterative method, allowing large incremental steps, to solve elasto‐plastic problems.” Computers and Struct., 13(1–3), 63–71.
15.
Powell, G., and Simons, J. (1981). “Improved iteration strategy for nonlinear structures.” Int. J. for Numerical Methods in Engrg., 17(10), 1455–1467.
16.
Riks, E. (1979). “An incremental approach to the solution of snapping and buckling problems.” Int. J. of Solids and Struct., 15(7), 529–551.
17.
Rotter, J. M., and Jumikis, P. T. (1988). “Nonlinear strain‐displacement relations for axisymmetric thin shells.” Res. Report No. R563, School of Civil and Mining Engineering, University of Sydney, Australia.
18.
“Strarch panel tests to determine top chord strength.” (1987a). Investigation Report No. S621, School of Civil and Mining Engineering, University of Sydney, Australia.
19.
“Strarch panel test SP11.” (1987b). Test Record No. T447, School of Civil and Mining Engineering, University of Sydney, Australia.
20.
“Strarch panel tests SP12–SP15.” (1989). Investigation Report No. S697, School of Civil and Mining Engineering, University of Sydney, Australia.
21.
Teng, J. G., and Rotter, J. M. (1989). “Elastic‐plastic large deflection analysis of axisymmetric shells.” Computers and Struct., 31(2), 211–233.
22.
Zienkiewicz, O. C. (1977). The finite element method, 3rd Ed., McGraw‐Hill Book Co., (U.K.) Limited, London.
Information & Authors
Information
Published In
Copyright
Copyright © 1991 ASCE.
History
Published online: Oct 1, 1991
Published in print: Oct 1991
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.