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Short-time numerical analysis of steel–concrete composite beams

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Abstract

The objective of this work is to provide a reliable numerical model using the finite element method for the analysis of steel–concrete composite beams for short-time loads. For this purpose, a computer program was developed in this study. The reinforced concrete (RC) slab is modeled using degenerated curved shell elements based on Mindlin theory, while plane shell elements based on Kirchhoff theory were used for modeling the steel beam. Stud shear connectors were modeled using 3D beam elements with special characteristics to take into account partial interaction at the slab–beam interface. Within the theory of plasticity, properly yield functions were considered for the concrete slab and the steel beam. A nonlinear elastic law proved to be adequate for treating the tangential forces in the stud shear connectors. Finally, some typical numerical examples of steel shells, RC plates and steel–concrete composite beams found in the literature are reproduced with the present numerical model and the obtained results are compared with the experimental data. The present numerical model is able to reproduce the path failure, collapse loads and failure mechanism with an acceptable level of accuracy.

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Abbreviations

a :

Flow vector

B :

Strain–displacement matrix

D :

Constitutive matrix

E :

Elastic modulus, kN/m2

f, f c , f t :

Yield function, compression and tensile strength of concrete, respectively

G :

Elastic shear modulus, kN/m2

H’:

Hardening modulus

K :

Stiffness matrix

n :

Current increment

P :

Vector of nodal forces

R :

Rotation matrix

s :

Slip, m

u, v, w :

Longitudinal, transversal and out plane nodal displacement, m or directions

U :

Global vector of nodal displacements

V :

Volume of an element, m3

X, Y, Z :

Global axis

ψ :

Vector of unbalanced forces

θd :

Rotation about global axis d

ε tm ,ε ct ,ε i :

Maximum normal cracked strain, normal cracked strain at peak tensile strength f t and normal cracked strain, respectively

ε,σ:

Deformation and stress vector

γ:

Engineering shear strain

σ, τ:

Normal and shear stresses components, respectively

λ, Δ:

Load factor and increment

ξ, η, ζ:

Axis of a curvilinear system

α, ρ:

Arbitrary constants

μ:

Poisson’s ratio

b:

Bending

m:

Membrane

c:

Concrete

con:

Connector

s:

Steel

T:

Tangential

y:

Yielding

ep:

Elasto-plastic

u:

Ultimate state

incr:

Increment

i:

Current iteration

‘ :

Local system

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Acknowledgments

The financial support provided by CAPES and CNPQ is gratefully acknowledged.

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Authors and Affiliations

  1. Graduate Program in Civil Engineering, Federal University of Rio Grande do Sul, 90035-190, Porto Alegre, RS, Brazil

    Jorge Luis Palomino Tamayo, Inácio Benvegnu Morsch & Armando Miguel Awruch

Authors
  1. Jorge Luis Palomino Tamayo
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  2. Inácio Benvegnu Morsch
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  3. Armando Miguel Awruch
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Correspondence to Jorge Luis Palomino Tamayo.

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Technical Editor: Lavinia Borges.

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Tamayo, J.L.P., Morsch, I.B. & Awruch, A.M. Short-time numerical analysis of steel–concrete composite beams. J Braz. Soc. Mech. Sci. Eng. 37, 1097–1109 (2015). https://doi.org/10.1007/s40430-014-0237-9

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