Vol. 1, No. 2, pp. 29-53 (2005)
STRUCTURAL BEHAVIOUR OF OVAL HOLLOW SECTIONS
L. Gardner
Department of Civil and Environmental Engineering, Imperial College London
Email: This email address is being protected from spambots. You need JavaScript enabled to view it.
View Article | Export Citation: Plain Text | RIS | Endnote |
ABSTRACT
Structural oval hollow sections represent a recent and rare addition to the range of cross-sections availableto structural engineers and architects. Their emergence is also timely given the increasing application of hollow sections in construction and the current trend towards the use of bare steelwork to express structural form. However, despite widespread interest in their application on the basis of both architectural appeal and structural efficiency, a lack of verified design guidance is inhibiting uptake. This paper summarises previous analytical and experimental studies on oval hollow sections, and describes laboratory testing, numerical modelling and evaluation of preliminary design rules for the recently introduced structural elliptical hollow sections. Laboratory testing has been carried out in two primary structural configurations – compression and in-plane bending. In addition to the basic geometry (including initial geometric imperfections) and material properties, full load-deformation histories were recorded. Numerical models, using the finite element package ABAQUS, were created and validated against the test results, before a series of sensitivity and parametric studies were conducted. The models included features such as curved geometry, non-linear material properties and initial geometric imperfections. For stub column behaviour, ultimate load was generally well predicted by the numerical models, but prediction of deformation at ultimate load was less accurate. For bending behaviour, the full bending moment-deformation history was consistently well predicted. Comparison of the test and finite element results against preliminary design rules has demonstrated broadly acceptable agreement, but additional analysis on the basis of further testing and modelling is required.
Keywords
ABAQUS, elliptical, hollow sections, laboratory testing, numerical modelling, oval, steel structures.
REFERENCES
[1] Gardner, L., “Structural behaviour of oval hollow sections”, Proceedings of the Fourth International Conference on Advances in Steel Structures. 13th-15th June, 2005, Shanghai, China, 2005, pp.517-522.
[2] Gardner, L. and Ministro, A., “Structural steel oval hollow sections”, The Structural Engineer, 2005, 83(21), pp.32-36.
[3] Marguerre, K., “Stability of cylindrical shells of variable curvature”, NACA TM 1302, 1951.
[4] prEN 10210-2, “Hot finished structural hollow sections of non-alloy and fine grain steels - Part 2: Tolerances, dimensions and sectional properties”, CEN, 2003.
[5] Hutchinson, J.W., “Buckling and initial post-buckling behaviour of oval cylindrical shells under axial compression”, Transactions of the American Society of Mechanical Engineers, Journal of Applied Mechanics, March 1968, pp.66-72.
[6] Feinstein, G., Erickson, B. and Kempner, J., “Stability of oval cylindrical shells: Experimental investigation of initial and ultimate buckling loads of fixed-end, oval cylindrical shells under axial compression”, Experimental Mechanics, November 1971, pp.514-520.
[7] Tennyson, R.C., Booton, M. and Caswell, R.D., “Buckling of imperfect elliptical cylindrical shells under axial compression”, American Institute of Aeronautics and Astronautics Journal, 1971, 9(2), pp.250-255.
[8] The Steel Construction Institute, “Gross section properties of elliptical hollow sections”, The Steel Construction Institute, UK, 2003.
[9] Corus Tubes, “Celsius 355® Ovals – Sizes and Resistances, Eurocode Version”, Structural and Conveyance Publication, Corus, 2003.
[10] Kempner, J., “Some results on buckling and post-buckling of cylindrical shells”, Collected papers on Instability of Shell Structures, NASA TN D-1510, 1962, pp.173-186.
[11] Kempner, J. and Chen, Y.N., “Large deflections of an axially compressed oval cylindrical shell”, Proceedings of the Eleventh International Congress of Applied Mechanics, Munich, Springer-Verlag, Berlin, 1964, pp.299-305.
[12] Donnell, L.H., “A new theory for the buckling of thin cylinders under axial compression and bending”, Transactions of the American Society of Mechanical Engineers, 1934, 56, pp.795-806.
[13] Kempner, J. and Chen, Y.N., “Postbuckling of an axially compressed oval cylindrical shell”, Proceedings of the Twelth International Congress of Applied Mechanics, Stanford University, 1968, pp.246-256.
[14] Koroleva, E., “Stability of cylindrical shells of oval cross-section in the bending stressstate”, Prikladnaya Matematika i Mekhanika, 1974, 37(5), pp.901-904.
[15] Kempner, J. and Chen, Y.N., “Buckling and initial postbuckling of oval cylindrical shells under combined axial compression and bending”, Transactions of the New York Academy of Sciences, 1974, 36(2), pp.171-191.
[16] Chen, Y.N. and Kempner, J., “Buckling of oval cylindrical shells under compression and asymmetric bending”, AIAA Journal, 1976, 14(9), pp.1235-1240.
[17] Tvergaard, V., “Buckling of elastic-plastic oval cylindrical shells under axial compression” International Journal of Solids and Structures, 1976, 12(9-10), pp.683-691.
[18] Tang, S.C., Chu, C.C. and Yeung, K.S., “Collapse of long, noncircular, cylindrical shells under pure bending”, Computers and Structures, 1985, 21(6), pp.1345-1353.
[19] EN 10002-1, “Metallic materials – Tensile testing – Part 1: Method of test at ambient temperature”, CEN, 2001.
[20] Gardner, L. and Ministro, A., “Testing and numerical modelling of structural steel oval hollow sections”, Research Report No. 04-002-ST, Department of Civil and Environmental Engineering, Imperial College London, 2004.
[21] Schafer, B. and Peköz, T., “Computational modelling of cold-formed steel: characterizing geometric imperfections and residual imperfections”, Journal of Constructional Steel Research, 1998, 47(3), pp.193-210.
[22] Gardner, L. and Nethercot, D.A., “Experiments on stainless steel hollow sections - Part 1: Material and cross-sectional behaviour”, Journal of Constructional Steel Research, 2004, 60(9), pp.1291-1318.
[23] Eckhardt, C., “Classification of oval hollow sections”, School of Civil Engineering Report, University of Southampton, 2004.
[24] ABAQUS, “ABAQUS/ Standard User’s Manual Volumes I-III and ABAQUS CAE Manual”, Version 6.4, Hibbitt, Karlsson & Sorensen, Inc. Pawtucket, USA, 2003.
[25] prEN 1993-1-1, “Eurocode 3: Design of steel structures – Part 1.1: General rules and rules for buildings”, CEN, 2003.
[26] Gardner, L. and Nethercot, D.A., “Designers’ Guide to EN 1993-1-1: Eurocode 3: Design of Steel Structures”, Thomas Telford Publishing, London, 2005.