In-Plane Buckling and Design of Steel Arches
Publication: Journal of Structural Engineering
Volume 125, Issue 11
Abstract
Many design codes do not give methods for designing steel arches against in-plane failure. The few that do provide methods that are essentially based on a linear interaction equation for the in-plane strengths of an equivalent beam-column, which uses the maximum elastic bending moment and axial compression in the arch. However, the linear interaction equation for a beam-column may not be suitable for an arch because it does not consider the strength characteristics of steel arches. This paper studies the in-plane buckling of arches in uniform compression and uses a nonlinear inelastic finite-element model to develop a method for designing steel arches against uniform compression, and also to develop an interaction equation for the design of steel arches against nonuniform in-plane compression and bending. Analytical solutions for the buckling loads of shallow arches in uniform compression are obtained. It is found that the design equation for steel columns cannot be used directly for steel arches in uniform compression, nor can the design interaction equations for steel beam-columns be used directly for steel arches under nonuniform compression and bending. The proposed design equations provide close predictions for the in-plane buckling strengths of both shallow and nonshallow steel arches in uniform compression. The modified interaction equation proposed provides good lower bounds for the in-plane strengths of both shallow and nonshallow steel arches in bending and compression because it considers the nonuniform distributions of the bending moment and axial compression around the arch, the behavior of shallow arches, and the favorable moment redistribution after the first hinge forms.
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References
1.
Austin, W. J., and Ross, T. J. (1976). “Elastic buckling of arches under symmetric loading.”J. Struct. Div., ASCE, 102(5), 1085–1095.
2.
BHP hot rolled carbon steel sections and plates. (1972). Broken Hill Proprietary Co. Ltd., Melbourne, Australia.
3.
Bild, S., and Trahair, N. S. (1989). “In-plane strengths of steel columns and beam-columns.” J. Constructional Steel Res., Oxford, U.K., 13(1), 1–22.
4.
Chini, S. A., and Wolde-Tinsae, A. M. (1988). “Critical load and postbuckling of arch frameworks.”J. Engrg. Mech., ASCE, 114(9), 1435–1453.
5.
DaDeppo, D. A., and Schmidt, R. (1969). “Nonlinear analysis of buckling and postbuckling behavior of circular arches.” J. Appl. Mathematics and Phys., 20, 847–857.
6.
Galambos, T. V., ed. (1988). Guide to stability design criteria for metal structures, 4th Ed., Wiley, New York.
7.
Gjelsvik, A., and Bodner, S. R. (1962). “The energy criterion and snap buckling of arches.”J. Engrg. Mech. Div., ASCE, 88(5), 87–134.
8.
Hancock, G. J., Papangelis, J. P., and Clarke, M. J. (1995). PRFSA users manual, Ctr. for Adv. Struct. Engrg., University of Sydney, Sydney, Australia.
9.
Johnston, B. G., ed. (1976). Guide to stability design criteria for metal structures, 3rd Ed., Wiley, New York.
10.
Komatsu, S., and Shinke, T. (1977). “Practical formulation for in-plane load carrying capacity of arches.” Proc., JSCE, Tokyo, Japan, 267, 39–52 (in Japanese).
11.
Kuranishi, S., ed. ( 1991). “Chapter 7: Arches.” Stability of metal structures—A world view, 2nd Ed., L. S. Beedle, ed., Structural Stability Research Council, Bethlehem, Pa., 423–445.
12.
Kuranishi, S., and Yabuki, T. (1979). “Some numerical estimation of ultimate in-plane strength of two-hinged steel arches.” Proc., JSCE, Tokyo, Japan, 287, 155–158.
13.
“Load and resistance factor design specification for structural steel buildings.” (1993). American Institute of Steel Construction, Chicago.
14.
Mirmiran, A., and Amde, A. M. (1993). “Inelastic buckling of prestressed sandwich or homogeneous arches.”J. Struct. Engrg., ASCE, 119(9), 2733–2743.
15.
Mirmiran, A., and Wolde-Tinsae, A. M. (1993). “Buckling and postbuckling of prestressed sandwich arches.”J. Struct. Engrg., ASCE, 119(1), 262–278.
16.
Pi, Y.-L., and Trahair, N. S. (1994). “Nonlinear inelastic analysis of steel beam-columns. I. Theory.”J. Struct. Engrg., ASCE, 120(7), 2041–2061.
17.
Pi, Y.-L., and Trahair, N. S. ( 1995). “Nonlinear inelastic analysis of arches.” Structural stability and design, S. Kitipornchai et al., eds., Balkema, Rotterdam, The Netherlands, 113–118.
18.
Pi, Y.-L., and Trahair, N. S. (1996a). “In-plane inelastic buckling and strengths of steel arches.”J. Struct. Engrg., ASCE, 122(7), 734–747.
19.
Pi, Y.-L., and Trahair, N. S. (1996b). “Three-dimensional nonlinear analysis of elastic arches.” Engrg. Struct., 18(1), 49–63.
20.
Pi, Y.-L., and Trahair, N. S. (1998a). “Inelastic lateral buckling strength and design of steel arches.” Res. Rep. No. R764, Ctr. for Adv. Struct. Engrg., University of Sydney, NSW, Australia.
21.
Pi, Y.-L., and Trahair, N. S. (1998b). “In-plane buckling and design of steel arches.” Res. Rep. No. R778, Ctr. for Adv. Struct. Engrg., University of Sydney, NSW, Australia.
22.
Pi, Y.-L., and Trahair, N. S. (1998c). “Non-linear buckling and postbuckling of elastic arches.” Engrg. Struct., 20(7), 571–579.
23.
Pi, Y.-L., and Trahair, N. S. (1998d). “Out-of-plane inelastic buckling and strength of steel arches.”J. Struct. Engrg., ASCE, 124(2), 174–183.
24.
Rajasekaran, S., and Padmanabhan, S. (1989). “Equations of curved beams.”J. Engrg. Mech., ASCE, 115(5), 1094–1111.
25.
Schreyer, H. L., and Masur, E. F. (1966). “Buckling of shallow arches.”J. Engrg. Mech. Div., ASCE, 92(4), 1–20.
26.
Simitses, G. J. (1976). An introduction to the elastic stability of structures. Prentice-Hall, Englewood Cliffs, N.J.
27.
“Steel structures.” (1998). AS4100-1998, Standards Australia, Sydney, Australia.
28.
“Structural use of steel in building, Part 1, Code of practice for design in simple and continuous construction: Hot-rolled sections.” (1990). BS5950, British Standards Institution, London, U.K.
29.
Timoshenko, S. P., and Gere, J. M. (1961). Theory of elastic stability, 2nd Ed., McGraw-Hill, New York.
30.
Trahair, N. S., Pi, Y.-L., Clarke, M. J., and Papangelis, J. P. (1997). “Plastic design of steel arches.” Adv. in Struct. Engrg., 1(1), 1–7, Multi-Science Publishing Co. Ltd., Essex, U.K.
31.
Verstappen, I., Snijder, H. H., Bijlaard, F. S. K., and Steenbergen, H. M. G. M. (1998). “Design rules for steel arches—In-plane stability.” J. Constructional Steel Res., Oxford, U.K., 46(1–3), 125–126.
32.
Vlasov, V. Z. (1961). Thin-walled elastic beams, 2nd Ed., Israel Program for Scientific Translation, Jerusalem.
Information & Authors
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Published In
Journal of Structural Engineering
Volume 125 • Issue 11 • November 1999
Pages: 1291 - 1298
History
Received: Feb 2, 1999
Published online: Nov 1, 1999
Published in print: Nov 1999
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