In-Plane Inelastic Buckling and Strengths of Steel Arches
Publication: Journal of Structural Engineering
Volume 122, Issue 7
Abstract
The in-plane inelastic buckling and strengths of circular steel I-section arches are investigated using a finite-element program for the nonlinear inelastic analysis. The elastic-plastic-strain-hardening behavior of the arches is determined by taking into account the effects of the arch curvature, large deformations, high-order deformed curvatures, material inelasticity, initial crookedness, and residual stresses. Radial loads uniformly distributed around the arch axis, concentrated loads, and loads distributed along the horizontal projection of the arch are studied, which induce either uniform compression or combined bending and compression in the arch. The effects of initial crookedness, rise-to-span ratio, residual stresses, and dead load to total load ratio on the in-plane inelastic stability and strengths of steel arches in uniform compression and in combined compression and bending are investigated.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Austin, W. J.(1971). “In-plane bending and buckling of arches.”J. Struct. Div., ASCE, 97(5), 1575–1592.
2.
Austin, W. J., and Ross, T. J.(1976). “Elastic buckling of arches under symmetric loading.”J. Struct. Div., ASCE, 102(5), 1085–1095.
3.
Belytschko, T., and Glaum, L. W. (1979). “Application of higher order co-rotational stretch theories to nonlinear finite element analysis.”Comp. and Struct., 10(1–2), 175–182.
4.
Calhoun, P. R., and DaDeppo, D. A.(1983). “Nonlinear finite element analysis of clamped arches.”J. Struct. Engrg., ASCE, 109(3), 599–612.
5.
Chini, S. A., and Wolde-Tinsae, A. M.(1988). “Effect of prestressing on elastic arches.”J. Engrg. Mech., ASCE, 114(10), 1791–1800.
6.
Cornforth, R. C., and Childs, S. B.(1967). “Computer analysis of two hinged circular arches.”J. Struct. Div., ASCE, 93(2), 319–336.
7.
DaDeppo, D. A., and Schmidt, R. (1969). “Nonlinear analysis of buckling and postbuckling behavior of circular arches.”J. Appl. Math and Phys., Vol. 20, 847–857.
8.
DaDeppo, D. A., and Schmidt, R.(1976). “Large deflections and stability of hingeless circular arches under interacting loads.”J. Appl. Mech., 41(4), 989–994.
9.
Dawe, D. J.(1974). “Curved finite elements for the analysis of shallow and deep arches.”Comp. and Struct., 4(3), 559–580.
10.
Galambos, T. V. (ed.). (1988). Guide to stability design criteria for metal structures, 4th Ed., John Wiley & Sons, Inc., New York, N.Y.
11.
Harries, H.(1970a). “Traglast stahlerner Zweigelenkbogen mit ausgebreiteten Fliesszo-nen.”Stahlbau, 39(6), 170–177.
12.
Harries, H.(1970b). “Traglast Stahlerner Zweigelenkbogen mit ausgebreiteten Fliesszoren.”Stahlbau, 39(8), 248–257.
13.
Harrison, H. B. (1982). “In-plane stability of parabolic arches.”J. Struct. Div., ASCE, 108(S1), 195–205.
14.
Horne, M. R. (1979). Plastic theory of structures, 2nd Ed., Pergamon Press, Oxford, England.
15.
Hot rolled and structural steel products. (1994). BHP Steel, Melbourne, Australia.
16.
Komatsu, S., and Shinke, T. (1977). “Practical formulation for in-plane load carrying capacity of arches.”Proc., Japan Soc. of Civ. Engrs., Tokyo, Japan, No. 267, 39–52 (in Japanese).
17.
Kuranishi, S., and Lu, L.-W. (1972). “Load carrying capacity of two-hinged steel arches.”Proc., Japan Soc. of Civ. Engrs., Tokyo, Japan, No. 204, 129–140.
18.
Kuranishi, S., and Yabuki, T. (1979). “Some numerical estimation of ultimate in-plane strength of two-hinged steel arches.”Proc., Japan Soc. of Civ. Engrs., Tokyo, Japan, No. 287, 155–158.
19.
Mirmiran, A., and Amde, A. M.(1993). “Inelastic buckling of prestressed sandwich or homogeneous arches.”J. Struct. Engrg., ASCE, 119(9), 2733–2743.
20.
Mirmiran, A., and Wolde-Tinsae, A. M.(1993). “Buckling and postbuckling of prestressed sandwich arches.”J. Struct. Engrg., ASCE, 119(1), 262–278.
21.
Nyssen, C.(1981). “An efficient and accurate iterative method, allowing large incremental steps, to solve elasto-plastic problems.”Comp. and Struct., 13(1), 63–71.
22.
Pi, Y. L., and Trahair, N. S.(1994a). “Nonlinear inelastic analysis of steel beam-columns. I: Theory.”J. Struct. Engrg., ASCE, 120(7), 2041–2061.
23.
Pi, Y. L., and Trahair, N. S. (1994b). “Three dimensional nonlinear analysis of elastic arches.”Res. Rep. No. 703, School of Civ. and Min. Engrg., Ctr. for Advanced Struct. Engrg., Univ. of Sydney, Australia.
24.
Pi, Y. L., and Trahair, N. S. (1995). “In-plane inelastic strengths of steel arches.”Res. Rep. No. 710, School of Civ. and Min. Engrg., Ctr. for Advanced Struct. Engrg., Univ. of Sydney, Australia.
25.
Schreyer, H., and Masur, E.(1966). “Buckling of shallow arches.”J. Engrg. Mech., Div., ASCE, 90(4), 1–19.
26.
Shinke, T., Zui, H., and Namita, Y. (1975). “Analysis of in-plane elasto-plastic buckling and load carrying capacity of arches.”Proc. Japan Soc. of Civ. Engrs., Tokyo, Japan, No. 244, 57–70 (in Japanese).
27.
Shinke, T., Zui, H., and Namita, Y. (1977). “Analysis and experiments of in-plane load carrying capacity of arches.”Proc. of Japan Soc. of Civ. Engrs., Tokyo, Japan, No. 267, 34–52 (in Japanese).
28.
Stolarski, H., and Belytschko, T.(1982). “Membrane locking and reduced integration for curved element.”J. Appl. Mech., 49(1), 172–176.
29.
Timoshenko, S. P., and Gere, J. M. (1961). Theory of elastic stability, 2nd Ed., McGraw-Hill Book Co., Inc., New York, N.Y.
30.
Vlasov, V. Z. (1961). Thin-walled elastic beams, 2nd Ed., Israel Program for Scientific Translation, Jerusalem, Israel.
31.
Wen, R. K., and Suhendro, B.(1991). “Nonlinear curved-beam element for arch structures.”J. Struct. Engrg., ASCE, 117(11), 3496–3515.
32.
Yabuki, T. (1981). “Study on ultimate strength design of steel arch bridge structures,” PhD dissertation, Tohoku Univ., Sendai, Japan (in Japanese).
33.
Yabuki, T., and Vinnakota, S. (1984). “Stability of steel arch bridges: a state-of-the-art report.”Solid Mech. Archives, Vol. 9, 115–158.
Information & Authors
Information
Published In
Copyright
Copyright © 1996 American Society of Civil Engineers.
History
Published online: Jul 1, 1996
Published in print: Jul 1996
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.