Probabilistic three-dimensional finite element study on composite beams with steel trapezoidal decking

Abstract This paper presents a probabilistic study based on Monte Carlo simulation (MCS) to evaluate the influence of material uncertainties on the numerically simulated structural response of composite steel–concrete floors consisting of concrete slabs cast on steel profiled sheeting and connected to steel beams by means of shear connectors. The numerical analyses are performed using a three-dimensional finite element model developed using the commercial software Abaqus, implemented using an explicit formulation. The constitutive behaviour of all materials is nonlinear. Contact regions between the concrete and steel elements are simulated using surface-to-surface and embedment techniques. Analyses are carried out for three case studies including simply-supported and continuous beams for which experimental results are available in the literature. Different realization sizes are considered for the MCS in order to evaluate their influence on the statistical characterization of the structural response. Based on the obtained results, it is observed that the adopted realization sizes provide similar statistical representation of the structural behaviour, which highlights how even a reduced number of nonlinear analyses can lead to satisfactory approximations of the statistical description of the response uncertainties in composite steel–concrete floors.

[1]  Ehab Ellobody,et al.  Performance of shear connection in composite beams with profiled steel sheeting , 2006 .

[2]  Seung-Eock Kim,et al.  Finite element modeling of push-out tests for large stud shear connectors , 2009 .

[3]  Feng Fu,et al.  Parametric study of semi-rigid composite connections with 3-D finite element approach , 2007 .

[4]  Sherif El-Tawil,et al.  Nonlinear Analysis of Steel-Concrete Composite Structures: State of the Art , 2004 .

[5]  Andrea Dall'Asta,et al.  Probabilistic analysis for design assessment of continuous steel-concrete composite girders , 2010 .

[6]  Michel Bruneau,et al.  Ductile design of steel structures , 1997 .

[7]  Joel P. Conte,et al.  Probabilistic Push-Over Analysis of Structural and Soil-Structure Systems , 2010 .

[8]  Alessandro Zona,et al.  Beam tests of composite steel-concrete members: A three-dimensional finite element model , 2012 .

[9]  J. G. Macgregor,et al.  Variability of Mechanical Properties of Reinforcing Bars , 1985 .

[10]  N. E. Shanmugam,et al.  Nonlinear analysis of steel-concrete composite beams curved in plan , 1999 .

[11]  Jianqiao Ye,et al.  Effect of shear connector spacing and layout on the shear connector capacity in composite beams , 2011 .

[12]  Bo Wang,et al.  Microstructure and boundary phases of Lu–Al-doped silicon nitride by pressureless sintering , 2009 .

[13]  J. G. Macgregor,et al.  Statistical Descriptions of Strength of Concrete , 1979 .

[14]  Alessandro Zona,et al.  A Probabilistic Three-Dimensional Finite Element Study on Simply-Supported Composite Floor Beams , 2012 .

[15]  Roberto T. Leon,et al.  Theories of Incomplete Interaction in Composite Beams , 1997 .

[16]  Mark A. Bradford,et al.  Composite Steel and Concrete Structural Members: Fundamental Behaviour , 1995 .

[17]  D. Lam,et al.  Behavior of Headed Stud Shear Connectors in Composite Beam , 2005 .

[18]  Graziano Leoni,et al.  State of the art on the time-dependent behaviour of composite steel-concrete structures , 2013 .

[19]  N. E. Shanmugam,et al.  Finite-Element Analysis of Steel¿Concrete Composite Plate Girder , 2002 .

[20]  Ivan M. Viest,et al.  Composite Construction Design for Buildings , 1996 .

[21]  Jian-Sheng Fan,et al.  Experimental study of partially shear-connected composite beams with profiled sheeting , 2008 .

[22]  Alessandro Zona,et al.  Finite element models for nonlinear analysis of steel-concrete composite beams with partial interaction in combined bending and shear , 2011 .

[23]  Andrzej S. Nowak.  Structural reliability, analysis and predictions: by R.E. Melchers, John Wiley & Sons (Ellis Horwood), Chichester, U.K., 1987, 400 pp., £57.50, ISBN 0-853-12930-4 , 1988 .

[24]  G. H. Couchman,et al.  Strength and ductility of headed stud shear connectors in profiled steel sheeting , 2010 .

[25]  Aaron J. Wang.  Numerical Studies on Structural Behaviour of Shear Connectors in Push-Out Tests , 2009 .

[26]  Dennis Lam,et al.  Finite Element Analysis of Steel-Concrete Composite Girders , 2003 .

[27]  R. P. Johnson.  Composite Structures of Steel and Concrete , 1975 .

[28]  David A. Nethercot,et al.  Finite element modelling of composite beams with full and partial shear connection , 2007 .

[29]  Mark A. Bradford,et al.  Full-scale tests on composite steel–concrete beams with steel trapezoidal decking , 2009 .

[30]  T. Galambos,et al.  Properties of Steel for Use in LRFD , 1978 .

[31]  Henrik O. Madsen,et al.  Structural Reliability Methods , 1996 .

[32]  Brian Uy,et al.  Ultimate strength of continuous composite beams in combined bending and shear , 2004 .

[33]  Brian Uy,et al.  Effects of the combination of axial and shear loading on the behaviour of headed stud steel anchors , 2010 .

[34]  W. S. Easterling,et al.  Reliability assessment of composite beams , 2009 .

[35]  Robert E. Melchers,et al.  Structural Reliability: Analysis and Prediction , 1987 .