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Modelling of inelastic behaviour of reinforced concrete deep beam

Cichorski W., Stolarski A.

Journal of Achievements in Materials and Manufacturing Engineering

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2016

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Vol. 74, nr 1

37--44

EN

Purpose: An analysis of the static load - carrying capacity of rectangular reinforced concrete deep beam taking into account the physical nonlinearities of structural materials: concrete and reinforcing steel, was the aim of the paper. Design/methodology/approach: The model of the elastic-perfectly plastic material was applied for the reinforcing steel. The reduced, static form of non-standard model of dynamic deformation, with regard to the material softening was applied for the concrete. The method of structure effort analysis was developed using the finite element method. Findings: The results of numerical solutions were presented with comparison to the experimental results and other numerical results taken from the literature. Very good agreement of the numerical results was obtained in comparison with the experimental results in the range of the load - carrying capacity and the displacement state analysis. Research limitations/implications: The effectiveness of the method analysis and computational algorithms for the problems of numerical simulation of reinforced concrete deep beam behaviour was indicated in the paper. Practical implications: The developed method can be applied to the effort analysis of the different reinforced concrete structural elements behaving in the complex stress states. Originality/value: The stress state in the deep beam was illustrated in the form of the stress distribution over the characteristic cross-sections as well as in the form of the scheme of the material effort on the surface of the structure.

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An empirical model for shear capacity of RC deep beams using genetic-simulated annealing

Gandomi A. H., Alavi A. H., Mohammadzadeh Shadmehri D., Sahab M. G.

Archives of Civil and Mechanical Engineering

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2013

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Vol. 13, no. 3

354--369

EN

This paper presents an empirical model to predict the shear strength of RC deep beams. A hybrid search algorithm coupling genetic programming (GP) and simulated annealing (SA), called genetic simulated annealing (GSA), was utilized to develop mathematical relationship between the experimental data. Using this algorithm, a constitutive relationship was obtained to make pertinent the shear strength of deep beams to nine mechanical and geometrical parameters. The model was developed using an experimental database acquired from the literature. The results indicate that the proposed empirical model is properly capable of evaluating the shear strength of deep beams. The validity of the proposed model was examined by comparing its results with those obtained from American Concrete Institute (ACI) and Canadian Standard Association (CSA) codes. The derived equation is notably simple and includes several effective parameters.

3

Numerical analysis of a reinforced concrete beam and deep beam under impulsive loading

Stolarski A., Cichorski W.

Computer Assisted Mechanics and Engineering Sciences

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2005

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Vol. 12, No. 4

299-328

EN

An analysis of the dynamic behaviour of a reinforced concrete beam and a deep beam taking into account the physical non-linearities of structural materials is presented in this paper. The modified model of the elastic/visco-perfectly plastic material with regard to delayed yield effect was applied to the reinforcing steel. The non-standard model of dynamic deformation was applied to the concrete. The model describes the elastic properties until attaining the dynamic strength of concrete, perfectly plastic properties in the limited range of deformation, material softening, and smeared cracking or crushing which are corncentrated in the regions of the tensile or compressive residual stress states. Interaction between the reinforcing steel and the concrete is conditioned by the assumption of perfect consistency of displacements of both materials. The ratio of this interaction depends on the phase of deformation of the concrete. The method of analysis of the structural system was developed using the finite element method. The results of numerical solutions arę presented. The effectiveness of the method of analysis and computational algorithms for problems of numerical simulation of the reinforced concrete beam and the deep bearn dynamie behaviour is indicated in this paper.