Vol. 4, No. 4, pp. 306-322 (2008)
IN-PLANE STRENGTH OF STEEL ARCHES
Yong-Lin Pi 1,*, Mark Andrew Bradford 2 and Francis Tin-Loi 3
1 The corresponding author, Senior Research Fellow, Centre of Infrastructure Engineering & Safety,
School of Civil & Environmental Engineering, UNSW, Sydney, NSW 2052, Australia
*(Corresponding author: E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.)
2 Federation Fellow, Professor, Centre of Infrastructure Engineering &Safety,
School of Civil & Environmental Engineering, UNSW, Sydney, NSW 2052, Australia
email: This email address is being protected from spambots. You need JavaScript enabled to view it.
3 Professor, Centre of Infrastructure Engineering & Safety, School of Civil & Environmental Engineering,
UNSW, Sydney, NSW 2052, Australia, email: This email address is being protected from spambots. You need JavaScript enabled to view it.
Received: 24 September 2007; Revised: 15 November 2007; Accepted: 20 November 2007
DOI: 10.18057/IJASC.2008.4.4.3
![]() |
Export Citation:Plain Text | RIS | Endnote |
ABSTRACT
A rational finite element program for the nonlinear elastic-plastic analysis of arches is used in this paper to investigate the in-plane elastic-plastic buckling and strength of circular steel arches. The finite element program considers the effects of large deformations, material nonlinearities, initial geometric imperfection, and residual stresses in predicting the elastic-plastic behaviour of steel arches. Radial loads uniformly distributed around the arch axis, concentrated loads, and distributed loads along the horizontal projection of an arch are studied, which induce either uniform compression or combined bending and compression in the arch. The complex effects of initial imperfection, rise-to-span ratio, residual stresses and the end support conditions on the in-plane elastic-plastic stability and strength of steel arches are included in the study. Useful design equations against in-plane failure are proposed for steel arches under uniform compression and under combined bending and compressive actions.
KEYWORDS
Arch, combined bending and compression, compression, buckling, elastic-plastic, steel, strength
This paper is extended from the paper presented in ICSCS07 entitled In-plane inelastic buckling and strength of steel arches.
REFERENCES
[1] Timoshenko, S.P. and Gere, J.M., "Theory of Elastic Stability", 2nd Edition, McGraw-Hill, 1961.
[2] Vlasov, V.Z., "Thin-walled Elastic Beams", 2nd Edition, Israel Program for Scientific Translation, 1961.
[3] Simitses, G.J., "An Introduction to the Elastic Stability of Structures", Prentice-Hall, Englewood Cliffs, 1976.
[4] DaDeppo, D.A. and Schmidt, R., "Nonlinear Analysis of Buckling and Postbuckling Behavior of Circular Arches", Journal of Applied Mathematics and Physics, 1969, Vol. 20, pp. 847-857.
[5] Austin, W.J. and Ross, T. J., "Elastic Buckling of Arches under Symmetric Loading", Journal of the Structural Division, ASCE, 1976, Vol. 102, No. 5, pp. 1085-1095.
[6] Chini, S.A. and Wolde-Tinsae, A. M., "Critical Load and Postbuckling of Arch Frameworks", Journal of Engineering Mechanics, ASCE, 1988, Vol. 114, No. 9, pp. 1435-1453.
[7] Mirmiran, A. and Wolde-Tinsae, A.M., "Buckling and Postbuckling of Prestressed Sandwich Arches", Journal of Structural Engineering, ASCE, 1993, Vol. 119, No. 1, pp. 262-278.
[8] Galambos, T.V., "Guide to Stability Design Criteria for Metal Structures", 4th Ed, John Wiley & Sons, 1988.
[9] Pi, Y.-L. and Trahair, N.S., "Non-linear Buckling and Postbuckling of Elastic Arches", Engineering Structures, 1998, Vol. 20, No. 7, pp. 571-579.
[10] Gjelsvik, A. and Bodner, S.R., "The Energy Criterion and Snap Buckling of Arches", Journal Engineering of the Mechanic Division, ASCE, 1962, Vol. 88, No. 5, pp. 87-134.
[11] Schreyer, H.L. and Masur, E.F., "Buckling of Shallow Arches", Journal of the Engineering Mechanic Division, ASCE, 1966, Vol. 92, No. 4, pp. 1-20.
[12] Pi, Y.-L., Bradford, M.A., and Uy, B., "In-plane Stability of Arches", International Journal of Solids and Structures, 2002, Vol. 39, No. 2, pp. 105-125.
[13] "AS4100, Steel structures", Standards Australia, 2003.
[14] "BS5950, Structural Use of Steel in Building, Part 1, Code of Practice for Design in Simple and Continuous Construction: Hot-Rolled Sections", British Standards Institution, 1998.
[15] "Load and Resistance Factor Design Specification for Structural Steel Buildings", American Institute of Steel Construction, 2000.
[16] Komatsu, S. and Shinke, T., "Practical Formulation for In-Plane Load Carrying Capacity of Arches", Proceedings of Japan Society of Civil Engineers, 1977, Vol. 267, pp. 39-52, Tokyo, Japan, (in Japanese).
[17] Kuranishi, S. (Ed.), "Chapter 7 Arches", Stability of Metal Structures - A World View. 2nd Ed, Ed by L.S. Beedle, Structural Stability Research Council, Bethlehem, Pa., pp. 423-445, 1991.
[18] Verstappen, I., Snijder, H.H., and Bijlaard, F.S.K. and Steembergen, H.M.G.M., "Design Rules for Steel Arches-in-Plane Stability", Journal of Constructional Steel Research, 1998, Vol. 46, No. 1-3, pp. 125-126.
[19] Pi, Y.-L. and Trahair, N.S., "In-Plane Inelastic Buckling and Strength of Steel Arches", Journal of Structural Engineering, ASCE, 1996, Vol. 122, No. 7, pp. 734-747.
[20] Pi, Y.-L. and Trahair, N.S., "In-Plane Buckling and Design of Steel Arches", Journal of Structural Engineering, ASCE, 1999, Vol. 125, No. 11, pp. 1291-1298.
[21] Pi, Y.-L. and Bradford, M.A., "In-Plane Strength and Design of Fixed Steel I-Section Arches", Engineering Structures, 2004, Vol. 26, No. 3, pp.291-301.
[22] Pi, Y.-L., Bradford, M.A., Tin-Loi, F., and Gilbert, R.I., "Geometric and Material Nonlinear Analysis of Elastically Restrained Arches", Engineering Structures, 2007, Vol. 29, No. 3, pp. 283-295.
[23] Pi, Y.-L., Bradford, M.A., and Uy, B., "A rational Elasto-plastic Spatially Curved Thin-walled Beam Element", International Journal for Numerical Methods in Engineering, 2007, Vol. 70, pp. 253-290.
[24] Bild, S. and Trahair, N.S., "Steel Column Strength Models", Journal of Constructional Steel Research, 1988, Vol. 11, pp. 13-26.