English
Język Polski
Buckling of bipolarly prestressed closely-spaced built-up member
DOI:
https://doi.org/10.24425/ace.2022.141871Abstract
The study analysed a bisymmetric closely-spaced built-up member, pin-supported at both ends. It was bipolarly pre-stressed with a displacement (BPCSBM), and loaded with an axial compressive force. Maximum internal gap between the chords was assumed in the section, in which during the stability failure in a classic closely-spaced member, the largest lateral displacements between nodes would potentially occur. As regards the BPCSBM chosen for analysis, the issues of the buckling resistance in the presence of compressive axial load were solved using the energy method, in which the functional minimisation was performed in accordance with the Rayleigh-Ritz algorithm. The problem of BPCSBM stability was also solved using FEM. A spatial shell model was developed. The stability analysis was performed. The analysis resulted in obtaining the buckling load and the member buckling modes. A general conclusion was formulated based on the results obtained: bipolar pre-stressing leads to an increase in buckling resistance of closely-spaced members.References
[1] M. Anbarasu, K. Kanagarasu, S. Sukumar, “Investigation on the behaviour and strength of cold-formed steel web stiffened built-up battened columns”, Materials and Structures, 2015, vol. 48, pp. 4029-4038, DOI: 10.1617/s11527-014-0463-8.
[2] F. Aslani, S.C. Goel, “An Analytical Criterion for Buckling Strength of Built-up Compression Members”, Engineering Journal, 1991, vol. 28, no. 4, pp. 159-168.
[3] Z.P. Bažant, “Shear Buckling of Sandwich, Fiber Composite and Lattice Columns, Bearings, and Helical Springs: Paradox Resolved”, Journal of Applied Mechanics, 2003, vol. 70, no. 1, pp. 75-83, DOI: 10.1115/1.1509486.
[4] F. Bleich, Buckling strength of metal structures. McGraw-Hill: New York, USA, 1952.
[5] P. Deniziak, K. Winkelmann, “Influence of nonlinearities on the efficiency and accuracy of FEM calculations on the example of a steel build-up thin-walled column”, MATEC Web of Conferences, 2018, vol. 219, art. ID 02010, DOI: 10.1051/matecconf/201821902010.
[6] A. Dudzik, M. Siedlecka, “Equivalent shear stiffness of bipolarly prestressed built-up member” (to be published).
[7] F. Engesser, “Über Knickfestigkeitgerader Stäbe”, Zeitschriftfür Architekten und Ingenieurwesen, 1889, vol. 35, no. 4, pp. 455-462.
[8] Y.I. Guo, B. Zhang, S. Zhao, Y.L. Pi, “Ultimate Resistance Design of Shuttle-Shaped Steel Tubular Latticed Columns”, Journal of Structural Engineering, 2014, vol. 140, no. 10, DOI: 10.1061/(ASCE)ST.1943-541X.0000998.
[9] J.A. Harringx, “Elastic stability of helical springs at a compression larger than original length”, Applied Scientific Research, 1949, vol. 1, no. 1, pp. 417-434.
[10] Z. Kowal, “About the critical load bearing capacity of battened columns”, Inżynieria i Budownictwo, 2001, vol. 10, pp. 580-582 (in Polish).
[11] Z. Kowal, M. Polak, E. Szpila, P. Wydra, “Spatial cover system Zachód”, Inżynieria i Budownictwo, 1976, vol. 11, pp. 421-424 (in Polish).
[12] Z. Kowal, M. Siedlecka, “Load bearing capacity of compressed closely spaced built-up members in space structures”, Journal of Civil Engineering Environment Architecture, 2017, vol. 34, no. 64, pp. 407-416 (in Polish).
[13] J.L. Liu, D.M. Lue, Ch.H. Lin, “Investigation on Slenderness Ratios of Built-up Compression Members”, Journal of Construction Steel Research, 2009, vol. 65, no. 1, pp. 237-248, DOI: 10.1016/j.jcsr.2008.02.012.
[14] D.M. Lue, T. Yen, J.L. Liu, “Experimental Investigation on Built-up Columns”, Journal of Construction Steel Research, 2006, vol. 62, no. 12, pp. 1325-1332, DOI: 10.1016/j.jcsr.2006.02.004.
[15] PN-EN 1993-1-1:2006 Eurocode 3: Design of Steel Structures - Part 1-1: General rules and rules for buildings. Polish Committee for Standardization, 2006.
[16] M. Siedlecka, “Shaping of axially compressed bipolarly prestressed bisymmetrical closely spaced built-up members”, Architecture Civil Engineering Environment, 2020, vol. 13, no. 1, pp. 87-100, DOI: 10.21307/ACEE-2020-007.
[17] K. Słowinski, W. Wuwer, “Experimentally and analytically based shaping of a built-up compression bar with deformable joints of the branches”, Technical Transactions Civil Engineering, 2015, vol. 1-B, no. 11, pp. 107-131, DOI: 10.4467/2353737XCT.15.083.3883.
[18] T.A. Stone, R.A. LaBoube, “Behavior of cold-formed steel built-up I-sections”, Thin-Walled Structures, 2005, vol. 43, no. 12, pp. 1805-1817, DOI: 10.1016/j.tws.2005.09.001.
[19] M.C. Temple, G.M. El-Mahdy, “Buckling of built-up compression members in the plane of the connectors”, Canadian Journal of Civil Engineering, 1993, vol. 20, pp. 895-909.
[20] M.C. Temple, G.M. El-Mahdy, “Local effective length factor in the equivalent slenderness ratio”, Canadian Journal of Civil Engineering, 1995, vol. 22, pp. 1164-1170.
[21] S.P. Timoshenko, J.M. Gere, Theory of elastic stability. Warsaw: Arkady, 1963.
[22] T.C.H. Ting, H.H. Lau, “Compression Test on Cold-formed Steel Built-up Back-to-back Channels Stub Columns”, Advance Materials Research, 2011, vol. 201-203, pp. 2900-2903, DOI: 10.4028/www.scientific.net/AMR.201-203.2900.
[23] J.-H. Zhang, B. Young, “Numerical investigation and design of cold-formed steel built-up open section columns with longitudinal stiffeners”, Thin-Walled Structures, 2015, vol. 89, pp. 178-191, DOI: 10.1016/j.tws.2014.12.011.
Downloads
Published
How to Cite
Issue
Section
