Time-Dependent Analysis of Shear-Lag Effect in Composite Beams

Dezi, Luigino; Gara, Fabrizio; Leoni, Graziano; Tarantino, Angelo Marcello

doi:10.1061/(asce)0733-9399(2001)127:1(71)

Cited by 84 publications

(44 citation statements)

References 8 publications

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“…where v 0 , 0 , v L and L represent the deflections and rotations at the element ends of both layers (which coincide for elements 1 and 2 when k y tends to infinity), while the additional limit k z → ∞ also requires Equation (26) to be satisfied. In particular, the condition of 2 = 0 produces the additional restraint of…”

Section: High Vertical and Longitudinal Interface Connection Stiffnesmentioning

confidence: 98%

“…Since then, the longitudinal partial nature of composite beams has been studied extensively in the last decades in the linear-elastic range [5][6][7][8][9][10], in the non-linear range [11][12][13][14][15][16][17][18][19][20], accounting for time effects [21][22][23][24][25] and including shear-lag effects [26]. For this purpose, various modelling techniques have been utilized, among the others the finite difference method, the finite element method and exact analytical solutions, while it is beyond the scope of this paper to provide an extensive list of references.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Displacement-based formulations for composite beams with longitudinal slip and vertical uplift

Gara¹,

Ranzi²,

Leoni³

2006

Int. J. Numer. Meth. Engng

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This paper describes three novel displacement-based formulations for the analysis of composite beams with a flexible connection which is capable of deforming along the longitudinal axis of the member as well as vertically, i.e. transverse to the interface connection. For completeness, the analytical model which forms the basis of the proposed modelling technique is presented in both its weak and strong forms. The three novel finite element formulations are derived and tested using different structural systems; their nodal freedoms include the vertical and axial displacements as well as the rotations at each element end of both layers. Curvature locking problems are observed to occur for one of these elements and the origin of this behaviour is demonstrated analytically. Two applications are then proposed adopting a bi-linear constitutive relationship for the vertical interface connection to, reflect the more realistic case in which, already in the linear-elastic range of the materials forming the cross-section and of the longitudinal interface connection, two vertical connection stiffnesses are required, i.e. one to model the event of separation between the layers and one when one bears against the other one. Copyright (c) 2005 John Wiley & Sons, Ltd

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Section: High Vertical and Longitudinal Interface Connection Stiffnesmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Displacement-based formulations for composite beams with longitudinal slip and vertical uplift

Gara¹,

Ranzi²,

Leoni³

2006

Int. J. Numer. Meth. Engng

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“…The first paper proposing an analytical model to depict this response is the one by Newmark et al (1951). Since then several researchers have studied the composite behaviour building on this model, for example, considering time effects (e.g., Bradford 2010; Ranzi and Bradford 2009;Ranzi and Zona 2007;Gara et al, 2006;Kwak and Seo 2002;Dezi et al, 2001;Amadio and Fragiacomo, 1993;Tarantino and Dezi, 1992;Bradford and Gilbert, 1992), geometric effects (e.g., Ranzi et al, 2010;Kroflic et al 2010;Sousa et al, 2010), prestressing techniques (e.g., Kim et al, 2010;Kim et al, 2009;Choi et al, 2008;Dezi et al, 1995), multilayered or timber composite members (e.g., Planinc et al, 2008;Ranzi, 2008;Schnabl et al, 2006;Oven et al, 1997) and material nonlinearities (e.g., Zona et al, 2010;Shim and Kim, 2010;Won et al, 2008;Pi et al, 2006;Ayoub, 2005;Nie et al, 2005;Dall'Asta and Zona, 2002;Fabbrocino et al, 2001;Johnson and Molestra, 1991). Among these, of particular interest to this paper are those publications related to the deformability of the concrete slab due to the concentrated loading induced by the shear connectors which is usually referred to as shear-lag effect.…”

Section: Introductionmentioning

confidence: 99%

“…In 1974 Adekola (1974) investigated the response of composite beams with flexible shear connectors, usually referred to as partial interaction, accounting for shear-lag effects. Dezi et al (2001) presented a numerical formulation dealing with time and shear-lag effects which relied on the use of the finite difference method. A few years later Sun and Bursi (2005) and Macorini et al (2006) presented a finite element solution of the same problem.…”

Section: Introductionmentioning

confidence: 99%

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

Gara

Ranzi

Leoni

2010

International Journal of Steel Structures

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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 timedependent 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.

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“…where the prime denotes the derivative with respect to x 1 , A c and A a are the cross-sections of the concrete slab and the steel beam, respectively, u 1 and u 2 are the longitudinal and vertical displacements of the steel beam measured at the level of the reference axis x 1 ,  is the longitudinal slip between the steel beams and the reinforced concrete slab and  is the function describing the warping in the slab that is modulated along the deck axis by the intensity shear-lag function  [4,5].…”

Section: Overview Of the Analytical And Numerical Models Of The Deckmentioning

confidence: 99%

Partial Interaction Analysis With Shear-Lag Effects of Composite Bridges: A Finite Element Implementation for Design Applications

Gara¹,

Ranzi²,

Leoni

2011

Volume 7 Number 1

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This paper presents a numerical model for the analysis of composite steel-concrete beams with partial interaction to account for the deformability of the shear connection. The proposed approach is capable of capturing the structural response produced by shear-lag effects and by the time-dependent behaviour of the concrete. The versatility of the FE formulation is demonstrated for a wide range of realistic bridge arrangements, e.g. from twin-deck girders to cable-stayed bridges. The accuracy of the approach is validated against the results obtained from more refined models generated with shell elements using commercial finite element software. For each bridge typology considered, both deformations and stresses are calculated to provide greater insight into the structural performance. Particular attention is placed on the determination of the effective width to be used for design purposes and on the stress distribution induced in the concrete component, together with their variation with time due to creep and shrinkage.

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Time-Dependent Analysis of Shear-Lag Effect in Composite Beams

Cited by 84 publications

References 8 publications

Displacement-based formulations for composite beams with longitudinal slip and vertical uplift

Displacement-based formulations for composite beams with longitudinal slip and vertical uplift

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

Partial Interaction Analysis With Shear-Lag Effects of Composite Bridges: A Finite Element Implementation for Design Applications

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