Strength Curves for Metal Columns
Publication: Journal of Structural Engineering
Volume 123, Issue 6
Abstract
The paper explores a general approach to the design of columns of metallic materials, notably aluminum and stainless steel. The stress-strain curves of these materials, and metallic materials in general, are nonlinear. In the paper, the stress-strain curves are assumed to be expressed as Ramberg-Osgood curves, defined in terms of the initial modulus (E0), the 0.2% proof stress (σ0.2) and the parameter n. It is shown that the column curve can be expressed in terms of the Ramberg-Osgood parameters by adopting a Perry curve as a basic strength curve and expressing the imperfection parameter in terms of E0, σ0.2, and n. The proposed strength curves are compared with column strengths obtained using advanced finite-element analyses of square hollow-section columns. For a wide range of material parameters, the mean of the ratio of finite-element strength to column strength is calculated using results for a range of column lengths and shown to lie between 0.98 and 1.04. The coefficient of variation of the same ratio is shown to be less than 0.025 indicating that the proposed strength curves are in good agreement with the finite-element strengths.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Ayrton, W. E., and Perry, J. (1886). “On struts.”The Engr., 62, 464–465 and 513–514.
2.
Beer, H., and Schulz, G. (1972). “The European column curves.”Proc., Int. Colloquium on Column Strength, IABSE, Paris, France, 385–398.
3.
Bjorhovde, R. (1972). “Deterministic and probabilistic approaches to the strength of steel columns,” PhD dissertation, Lehigh University, Bethlehem, Pa.
4.
Clarke, M. J. (1994). “Chaper 6: Plastic-zone analysis of frames.”Advanced analysis of steel frames: theory, software and applications, W. F. Chen and S. Toma, eds., CRC Press, London, England.
5.
De Martino, A., Landolfo, R., and Mazzolani, F. M.(1990). “The use of the Ramberg-Osgood law for materials of round-house type.”Mat. and Struct., Paris, France, 23, 59–67.
6.
Dwight, J. B.(1975). “Adaption of Perry formula to represent the new European steel column-curves.”J. Australian Inst. of Steel Constr., Sydney, Australia, 9(1), 10–23.
7.
Eurocode3. (1992). “Common Unified Rules for Steel Structures.” Commission of the Eur. Communities, Brussels, Belgium.
8.
European Convention for Constructional Steelwork (ECCS). (1977). “European recommendations for steel construction.”Document ECCS-EG77-1E, Brussels, Belgium.
9.
Galambos, T. V., ed. (1988). Structural Stability Research Council, guide to stability design criteria for metal structures, 4th Ed., John Wiley & Sons, Inc., New York, N.Y.
10.
Huber, A., and Beedle, L.(1954). “Residual stress and the compressive strength of steel.”Am. Welding J., 33(12), 589–614.
11.
Kato, B., Aoki, H., and Yamanouchi, H.(1990). “Standardised mathematical expression for stress-strain relations of structural steel under monotonic and uniaxial tension loading.”Mat. and Struct., Paris, France, 23, 47–58.
12.
Mazzolani, F. M. (1995). Aluminium alloy structures, 2nd Ed., E & FN Spon, London, England.
13.
Ramberg, W., and Osgood, W. R. (1943). “Description of stress strain curves by three parameters.”Tech. Note No. 902, Nat. Advisory Com. for Aeronautics, Washington, D.C.
14.
Rasmussen, K. J. R., and Hancock, G. J. (1992). “Design of cold-formed stainless steel tubular beams.”Proc., 11th Int. Spec. Conf. on Cold-formed Steel Struct., W. W. Yu, and R. A. LaBoube, Univ. of Missouri–Rolla, Mo., 587–610.
15.
Rasmussen, K. J. R., and Rondal, J. (1995). “Strength curves for metal columns.”Rep. 225, MSM Inst. of Civ. Engrg., Univ. of Liege, Belgium.
16.
Rasmussen, K. J. R., and Rondal, J. (1997). “Explicit approach to design of stainless steel columns.”J. Struct. Engrg., ASCE, 123(7).
17.
Rondal, J., and Maquoi, R.(1979a). “Single equation for SSRC column-strength curves.”J. Struct. Div., ASCE, 105(1), 247–250.
18.
Rondal, J., and Maquoi, R. (1979b). “Formulation d'Ayrton-Perry pour le Flambement des barres Metalliques.”Construction Metallique, Paris, France, 41–53.
19.
Talja, A., and Salmi, P. (1995). “Design of stainless steel RHS beams, columns and beam-columns.”VTT Res. Notes No. 1619, Tech. Res. Ctr. of Finland, Espoo, Finland.
20.
Tall, L., ed. (1964). Structural steel design, Chapter 9, Ronald Press, New York, N.Y.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 123 • Issue 6 • June 1997
Pages: 721 - 728
Copyright
Copyright © 1997 American Society of Civil Engineers.
History
Published online: Jun 1, 1997
Published in print: Jun 1997
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.