Abstract

Abstract The composite slabs behavior is governed by longitudinal shear at the interface between the steel deck and concrete, which is developed in slabs under simple bending. The m-k method and the partial connection method, that are used in the evaluation of shear strength at the steel-concrete interface of composite slabs, are based on expensive and long-term experimental tests. The main objective of this work is to implement a finite element model for nonlinear numerical analysis of concrete slabs with steel decking. For this, flat shell elements are implemented, considering Reissner-Mindlin and Kirchoff plate theories, bar elements, considering the beam theory of Tymoshenko, and interface elements. In the numerical analyzes presented in the present work, the steel deck and the concrete slab, of thickness given by the total height of the slab less the height of the steel deck, are modeled with flat shell elements. The concrete rib is modeled with bar elements. The contact between steel deck and concrete is modeled through interface elements. The geometric and material nonlinearities are considered in the numerical analysis. The analyzed examples validate the numerical model suggested in this work, presenting the advantage of using a two-dimensional discretization of the problem while in comparative numerical models are uses a three-dimensional discretization of the concrete slab.

Highlights

  • The composite slabs consist of a cold-formed steel profiled sheeting, known as steel deck, and a concrete slab

  • In most numerical analysis papers of composite slabs [7, 8, 9, 10, 11 and 12] the authors simulate the concrete slab by three-dimensional elements, the steel decking by flat shell elements, and the connection by using interface elements

  • The numerical models developed in this paper have gotten results that better represent the load-deflection behavior for the slab P1-2 and P2-2 than the reference numerical model. In this paper it is proposed a finite element analysis model for nonlinear numerical analysis of composite slabs submitted to their ultimate capacity

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Summary

Introduction

The composite slabs consist of a cold-formed steel profiled sheeting, known as steel deck, and a concrete slab. In most numerical analysis papers of composite slabs [7, 8, 9, 10, 11 and 12] the authors simulate the concrete slab by three-dimensional elements, the steel decking by flat shell elements, and the connection by using interface elements. The Reissner-Mindlin theory can generate numerical errors in the analysis of thin plates with low discretization due to non-compatibility of the form functions in evaluating the shear deformation, which in these cases tends to be very small. This shear locking is not verified in Kirchhoff’s plate theory, the formulation for this theory is somewhat more complex, as the rotations are associated with the derived of the perpendicular displacement to the plane of the plate. Details of some formulations of flat shell element considering Kirchhoff’s plate theory can be found elsewhere [18, 19, 20 and 21]

Composite slabs contact mechanism behavior
Computational implementation
Thin flat shell element
Beam element
Interface element
Example 1: bending test
Example 2: continuous slab
Example 3: slab with dovetail rib profiled sheeting
Conclusions
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