A steel-concrete composite beam element with material nonlinearities and partial shear interaction

This paper presents the formulation of a novel force-based 1D steel-concrete composite element that captures material nonlinearities and partial shear interaction between the steel profile and the reinforced concrete slab. By decomposing the material total strain into its elastic and inelastic components, a total secant solution strategy based on a direct iterative scheme is introduced and the corresponding solution strategy is outlined. A composite Simpson integration scheme, together with piecewise interpolation of the slip strain along the element axis, is employed to calculate the slip forces along the element axis consistently. The accuracy and efficiency of the formulation are verified by some numerical examples reported elsewhere in the literature, and it is shown that the formulation with just one element can lead to virtually closed form analytical results as long as the integrals in the formulation are calculated accurately.

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

[2]  Mark A. Bradford,et al.  Direct stiffness analysis of a composite beam-column element with partial interaction , 2007 .

[3]  Ashraf Ayoub.  A force-based model for composite steel–concrete beams with partial interaction , 2005 .

[4]  Mark A. Bradford,et al.  A direct stiffness analysis of a composite beam with partial interaction , 2004 .

[5]  Ciro Faella,et al.  Shear Connection Nonlinearity and Deflections of Steel–Concrete Composite Beams: A Simplified Method , 2003 .

[6]  Mark A. Bradford,et al.  The effects of partial shear connection in the hogging moment regions of composite beams , 2004 .

[7]  Michel Crisinel,et al.  Composite Slab Behavior and Strength Analysis. Part I: Calculation Procedure , 1993 .

[8]  Ashraf Ayoub,et al.  MIXED FORMULATION OF NONLINEAR STEEL-CONCRETE COMPOSITE BEAM ELEMENT , 2000 .

[9]  E. Spacone,et al.  ANALYSIS OF STEEL-CONCRETE COMPOSITE FRAMES WITH BOND-SLIP , 2001 .

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

[11]  Comite Euro-International du Beton,et al.  CEB-FIP Model Code 1990 : design code , 1993 .

[12]  Ignacio Carol,et al.  Nonlinear time-dependent analysis of planar frames using an ‘exact’ formulation—I. Theory , 1989 .

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

[14]  S. Foster,et al.  A total secant flexibility-based formulation for frame elements with physical and geometrical nonlinearities , 2010 .

[15]  Mark A. Bradford,et al.  Second Order Nonlinear Inelastic Analysis of Composite Steel–Concrete Members. I: Theory , 2006 .

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

[17]  Hamid Valipour,et al.  Nonlocal Damage Formulation for a Flexibility-Based Frame Element , 2009 .

[18]  Comite Euro-International du Beton,et al.  CEB-FIP Model Code 1990 , 1993 .

[19]  Dan M. Frangopol,et al.  Nonlinear Analysis of Composite Beams with Deformable Shear Connectors , 1998 .

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

[21]  Amin Heidarpour,et al.  Generic non-linear modelling of a bi-material composite beam with partial shear interaction , 2009 .

[22]  Mark A. Bradford,et al.  The effects of partial shear connection in the hogging moment regions of composite beams. Part 1: Experimental study , 2004 .