Computers and Concrete

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On the static behavior of nano Si02 based concrete beams resting on an elastic foundation

  • Harrat, Zouaoui R. (Laboratoire des Structures et Matériaux Avancés dans le Génie Civil et Travaux Publics, University of Djillali Liabes) ;
  • Amziane, Sofiane (Clermont Auvergne University, CNRS, Clermont INP, Institut Pascal) ;
  • Krour, Baghdad (Laboratoire des Structures et Matériaux Avancés dans le Génie Civil et Travaux Publics, University of Djillali Liabes) ;
  • Bouiadjra, Mohamed Bachir (Laboratoire des Structures et Matériaux Avancés dans le Génie Civil et Travaux Publics, University of Djillali Liabes)
  • Received : 2020.09.22
  • Accepted : 2021.04.28
  • Published : 2021.06.25
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Abstract

The present study investigates the static behavior of concrete beams impregnated with silicon dioxide (SiO2) nanoparticles. Nanosilica, by virtue of its small particle size, can affect the microstructure of concretes and enhance their properties. Voigt's model is used to take account of the agglomeration effect and obtain the equivalent nano-composite properties. Furthermore, the reinforced concrete beam is simulated mathematically with higher-order shear deformation theory because of its simplicity and accuracy. The soil medium is simulated with Pasternak elastic foundation, including a shear layer, and Winkler spring. The equilibrium equations are derived using the principle of virtual work, and using Hamilton's principle, the energy equations are obtained. Also, analytical methods are employed to obtain the closed-form solutions of simply supported beams. Numerical results are presented, considering the effect of different parameters such as the volume percent of SiO2 nanoparticles, mechanical loads, geometrical parameters, and soil medium, on the static behavior of the beam. The majority of findings from this work indicate that the use of SiO2 nanoparticles in concretes increases their mechanical resistance, and that the deflections and stresses decrease. In addition, the elastic foundation has a significant impact on the bending of concrete beams.

Keywords

Acknowledgement

The research described in this paper was financially supported by the Algerian Ministry ofHigher Education and Scientific Research through the cooperation project PROFAS B+. The authors would also like to acknowledge the support of the Thematic Agency for Research in Science and Technology of Algeria.

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