Short- and long-term analytical solutions for composite beams with partial interaction and shear-lag effects

This paper presents an analytical model for the short- and long-term analysis of composite steel-concrete beams with partial shear interaction and accounting for shear-lag effects. The material properties of the concrete have been assumed to be time-dependent and have been modelled by means of the algebraic methods while the remaining materials forming the cross-section have been supposed to behave in a linear-elastic manner. The global balance condition of the problem has been obtained by means of the principle of virtual work and, integrating this by parts, the governing system of differential equations and corresponding boundary conditions have been determined. Analytical expressions for both short- and long-term solutions have been derived and, to outline their ease of use, a number of case studies relevant for bridge applications have been proposed.

[1]  Mark A. Bradford,et al.  Analysis of composite beams with partial interaction using the direct stiffness approach accounting for time effects , 2009 .

[2]  Goran Turk,et al.  Non-linear analysis of two-layer timber beams considering interlayer slip and uplift , 2010 .

[3]  C. S. Cai,et al.  Stiffness and capacity of steel–concrete composite beams with profiled sheeting , 2005 .

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

[5]  A. O. Adekola,et al.  The dependence of shear lag on partial interaction in composite beams , 1974 .

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

[7]  Graziano Leoni,et al.  TIME-DEPENDENT ANALYSIS OF PRESTRESSED COMPOSITE BEAMS , 1995 .

[8]  M. Bradford.  Generic modelling of composite steel–concrete slabs subjected to shrinkage, creep and thermal strains including partial interaction , 2010 .

[9]  Graziano Leoni,et al.  Closure of "Algebraic Methods For Creep Analysis of Continuous Composite Beams" , 1996 .

[10]  Zdenek P. Bazant,et al.  Prediction of Concrete Creep Effects Using Age-Adjusted Effective Modulus Method , 1972 .

[11]  Ian Burgess,et al.  An analytical model for the analysis of composite beams with partial interaction , 1997 .

[12]  Alessandro Zona,et al.  A steel–concrete composite beam model with partial interaction including the shear deformability of the steel component , 2007 .

[13]  Gaetano Manfredi,et al.  Ductility of composite beams under negative bending: an equivalence index for reinforcing steel classification , 2001 .

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

[15]  Gianluca Ranzi,et al.  Time-Dependent Behaviour of Concrete Structures , 2010 .

[16]  Mark A. Bradford,et al.  Composite Beams with Partial Interaction under Sustained Loads , 1992 .

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

[18]  Lorenzo Macorini,et al.  Long-term analysis of steel-concrete composite beams : FE modelling for effective width evaluation , 2006 .

[19]  Goran Turk,et al.  An analytical model of layered continuous beams with partial interaction , 2006 .

[20]  Fabrizio Gara,et al.  Analysis of the Shear Lag Effect in Composite Bridges with Complex Static Schemes by means of a Deck Finite Element , 2008 .

[21]  Jun Hwan Kim,et al.  Life-cycle cost analysis of a TPSM applied continuous composite girder bridge , 2010 .

[22]  Chang-Su Shim,et al.  Structural performance of composite joints using bent studs , 2010 .

[23]  Luigino Dezi,et al.  Creep Effects in Composite Beams with Flexible Shear Connectors , 1992 .

[24]  Andrea Dall'Asta,et al.  A geometric nonlinear model for composite beams with partial interaction , 2010 .

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

[26]  Oreste S. Bursi,et al.  Displacement-Based and Two-Field Mixed Variational Formulations for Composite Beams with Shear Lag , 2005 .

[27]  Gianluca Ranzi,et al.  Locking problems in the partial interaction analysis of multi-layered composite beams , 2008 .

[28]  Amilton Rodrigues da Silva,et al.  Displacement-based nonlinear finite element analysis of composite beam–columns with partial interaction , 2010 .

[29]  Simon Schnabl,et al.  Numerical and experimental analysis of timber composite beams with interlayer slip , 2008 .

[30]  Fabrizio Gara,et al.  TIME-DEPENDENT ANALYSIS OF SHEAR-LAG EFFECT IN COMPOSITE BEAMS , 2001 .

[31]  Fabrizio Gara,et al.  A beam finite element including shear lag effect for the time-dependent analysis of steel–concrete composite decks , 2009 .

[32]  Jin Hee Ahn,et al.  Multi-stepwise thermal prestressing using a cover-plate in steel structures , 2009 .

[33]  Hyo-Gyoung Kwak,et al.  Time-dependent behavior of composite beams with flexible connectors , 2002 .