Nonlinear analysis of composite beams with concrete-encased steel truss

Abstract Composite beams constituted by a concrete-encased steel truss welded to a continuous steel plate are analyzed using a nonlinear finite element formulation based on Newmark's classical model. The web member of the steel truss is made by deformed or structural steel rebars and behaves like a deformable shear connection. In order to avoid slip locking, finite elements based on second-order interpolation of longitudinal displacements and flexural rotations are employed. Simply supported composite beams subjected to a uniformly distributed transverse load are considered. The bending capacity is evaluated for short up to long spans, taking the nonlinear behavior of concrete, steel and shear connection into account. The effects of the shear connection ductility are put in evidence, showing that, for short spans, the interfacial stress transfer resulting from the yielding of connection may be penalizing. In fact, the high slip gradient arising in sections near the supports may lead to a premature concrete failure. In this case, the exact solution to the linear elastic problem for steel–concrete composite beams can be used for design purposes.

[1]  Andrea Dall'Asta,et al.  Three-field mixed formulation for the non-linear analysis of composite beams with deformable shear connection , 2004 .

[2]  Lorenzo Macorini,et al.  A novel hybrid system with RC-encased steel joists , 2011 .

[3]  Subhash C. Goel,et al.  Analytical Study of FRC-Encased Steel Joist Composite Beams , 1999 .

[4]  Ana Lúcia Homce de Cresce El Debs,et al.  Study of partially encased composite beams with innovative position of stud bolts , 2009 .

[5]  Mark A. Bradford,et al.  Analysis of composite beams with partial shear interaction using available modelling techniques: A comparative study , 2006 .

[6]  Mark A. Bradford,et al.  A Rational Model for the Degree of Interaction in Composite Beams with Flexible Shear Connectors , 1998 .

[7]  Cv Clemens Verhoosel,et al.  Non-Linear Finite Element Analysis of Solids and Structures , 1991 .

[8]  Subhash C. Goel,et al.  FRC-encased steel joist composite beams under reversed cyclic loading , 1998 .

[9]  Ulf Arne Girhammar,et al.  A simplified analysis method for composite beams with interlayer slip , 2009 .

[10]  Subhash C. Goel,et al.  Experimental Study of FRC-Encased Steel Joist Composite Beams , 1999 .

[11]  Edwin Henry Gaylord,et al.  Structural Engineering Handbook , 1968 .

[12]  Yuanqing Wang,et al.  Loading capacity of composite slim frame beams , 2009 .

[13]  A. Zona,et al.  Comparison and validation of displacement and mixed elements for the non-linear analysis of continuous composite beams , 2004 .

[14]  Gustavo J. Parra-Montesinos,et al.  Development of connections between hybrid steel truss–FRC beams and RC columns for precast earthquake-resistant framed construction , 2005 .

[15]  Chanakya Arya,et al.  Buckling resistance of unstiffened webs , 2009 .

[16]  Yuanqing Wang,et al.  Loading capacity of simply supported composite slim beam with deep deck , 2009 .

[17]  Alfio Quarteroni,et al.  Scientific Computing with MATLAB and Octave , 2006 .

[18]  Ana Lúcia Homce de Cresce El Debs,et al.  Composite connections in slim-floor system: An experimental study , 2012 .

[19]  J. J. Moré,et al.  Quasi-Newton Methods, Motivation and Theory , 1974 .

[20]  D. A. Nethercot,et al.  Designer's guide to EN 1993-1-1 : Eurocode 3: Design of Steel Structures : General Rules and Rules for Buildings /L. Gardner and D. A. Nethercot , 2005 .

[21]  K. F. Chung,et al.  Composite column design to Eurocode 4 : based on DD ENV 1994-1-1: 1994 Eurocode 4: design of composite steel and concrete structures: part 1.1: general rules and rules for buildings , 1994 .

[22]  Andrea Dall'Asta,et al.  Non-linear analysis of composite beams of a displacement approach , 2000 .

[23]  Gangan Prathap,et al.  Stress oscillations and spurious load mechanisms in variationally inconsistent assumed strain formulations , 1992 .

[24]  A W Beeby,et al.  CONCISE EUROCODE FOR THE DESIGN OF CONCRETE BUILDINGS. BASED ON BSI PUBLICATION DD ENV 1992-1-1: 1992. EUROCODE 2: DESIGN OF CONCRETE STRUCTURES. PART 1: GENERAL RULES AND RULES FOR BUILDINGS , 1993 .

[25]  Andrea Dall'Asta,et al.  Slip locking in finite elements for composite beams with deformable shear connection , 2004 .

[26]  U. Girhammar,et al.  Exact static analysis of partially composite beams and beam-columns , 2007 .

[27]  R. G. Slutter,et al.  Shear Strength of Stud Connectors in Lightweight and Normal-Weight Concrete , 1971, Engineering Journal.

[28]  Ulf Arne Girhammar,et al.  Composite Beam-Columns with Interlayer Slip : Exact Analysis , 1993 .

[29]  Si-Wei Liu,et al.  Advanced analysis of hybrid steel and concrete frames: Part 1: Cross-section analysis technique and second-order analysis , 2012 .

[30]  Si-Wei Liu,et al.  Advanced analysis of hybrid steel and concrete frames: Part 2: Refined plastic hinge and advanced analysis , 2012 .

[31]  Deric J. Oehlers,et al.  Composite Beams with Limited-Slip-Capacity Shear Connectors , 1995 .