Cyclic Behavior of Battened and Latticed Columns and Proposing a Substitute Super-Element

Document Type : Research Article


1 Senior Structural Engineer, Consulting Engineers, Tehran, Iran

2 Department of Civil Engineering, Isfahan University of Technology, Isfahan, Iran


In this paper, lateral behavior of latticed columns is investigated by the finite element method. I-shape rolled sections of IPE120 to IPE200 are used for latticed column specimens in this study. Shell and solid elements are used for plate sections and welds in the finite element model, respectively. The columns considered are under gravity and lateral loads. Variation of gravity load ratio is investigated. Boundary conditions of the FE models are clamped at bottom and rotation restrained at top. Lateral loads are applied to the columns to cause bending about the non-material axis crossing the latticed side of the column. Non-linear characteristics of these columns including lateral elastic and plastic stiffness values, shear yielding and dissipation of energy (hysteretic curves area), are derived under monolithic and cyclic loading. Based on this study, increasing axial gravity loads, decreases initial stiffness considerably. It also decreases lateral capacity of the columns. Initial stiffness and lateral capacity reduction is considerably affected by axial load ratios under 0.2 (i.e., 20 percent of axial capacity of the column) and after that reduction rate decreases. A super-element that is able to consider behavior of these columns with an integrated section is proposed based on results of the nonlinear finite element analysis. This super-element considerably increases the computation speed by substituting an element with only six degrees of freedom in place of a finite element model with a large number of elements.


Main Subjects

[1] R.A. Williamson, M.N. Margolin, Shear effects in design of guyed towers, Journal of the Structural Division, 92(5) (1996) 213-233.
[2] J.L. Fung, C. Glauster, B.G. Johnston, Behavior of Laced and Battened Structural Members, Journal of the Structural Division , 96(7) (1970) 1377-1401.
[3] S.E. Svensson, J. Kragerup, Collapse loads of laced columns, Journal of the Structural Division, 109(4) (1982) 1367-1384.
[4] A. Gjelsvik, Buckling of built-up columns with or without stay plates, Journal of Engineering Mechanics, 121(10) (1990)1142-1159.
[5] M.R. Banan, A. Fouladi, A super - element based on finite element method for latticed columns computational aspect and numerical results, Journal of Advanced Materials in Engineerig (Esteghlal), 22(1) (2003) 57-73 (In Persian).
[6] D.R. Sahoo, D.C. Rai, Built-up battened columns under lateral cyclic loading, Thin-Walled Structures, 45(5) (2007) 552-562.
[7] B. Hosseini Hashemi, M.A. Jafari, Experimental evaluation of elastic critical load in batten columns, Journal of Constructional Steel Research, 65(1) (2009) 125-131.
[8] B. Hosseini Hashemi, M.A. Jafari, Experimental evaluation of cyclic behavior of batten columns, Journal of Constructional Steel Research, 78 (2012) 88-96.
[9] K.E. Kalochairetis, C.J. Gantes, Numerical and analytical investigation of collapse loads of laced built-up columns, Computers and Structures, 89(11) (2011) 1166-1176.
[10] C.J. Gantes, K.E. Kalochairetis, Axially and transversely loaded Timoshenko and laced built-up columns with arbitrary supports”, Journal of Constructional Steel Research, 77 (2012) 95-106.
[11] A. Poursamad Bonab, B. Hosseini Hashemi, Analytical investigation of cyclic behavior of laced built-up columns, Journal of Constructional Steel Research, 73(2012) 128-138.
[12] B. Hosseini Hashemi, A. Poursamad Bonab, Experimental investigation of the behavior of laced columns under constant axial load and cyclic lateral load, Engineering Structures, 57 (2013) 536-543.
[13] K.E. Kalochairetis, C.J. Gantes, X.A. Lignos, Experimental and numerical investigation of eccentrically loaded laced built-up steel columns, Journal of Constructional Steel Research, 101 (2014) 66-81.
[14] S. Tahouni, Steel structures design, Dehkhoda Publications, (1996) (In Persian).
[15] INBC, Iranian National Building Code (INBC), Part 10: Steel Structures, Ministry of Housing and Urban Development, Tehran, Iran, 2014 (In Persian).