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Structural Engineering and Mechanics Volume 84, Number 5, December10 2022 , pages 685-697 DOI: https://doi.org/10.12989/sem.2022.84.5.685 |
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Bending analysis of nano-SiO2 reinforced concrete slabs resting on elastic foundation |
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Mohammed Chatbi, Baghdad Krour, Mohamed A. Benatta, Zouaoui R. Harrat, Sofiane Amziane and Mohamed Bachir Bouiadjra
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Abstract | ||
Nanotechnology has become one of the interesting technique used in material science and engineering. However, it is low used in civil engineering structures. The purpose of the present study is to investigate the static behavior of concrete plates reinforced with silica-nanoparticles. Due to agglomeration effect of silica-nanoparticles in concrete, Voigt's model is used for obtaining the equivalent nano-composite properties. Furthermore, the plate is simulated mathematically with higher order shear deformation theory. For a large use of this study, the concrete plate is assumed resting on a Pasternak elastic foundation, including a shear layer, and Winkler spring interconnected with a Kerr foundation. Using the principle of virtual work, the equilibrium equations are derived and by the mean of Hamilton's principle the energy equations are obtained. Finally, based on Navier's technique, closed-form solutions of simply supported plates have been obtained. Numerical results are presented considering the effect of different parameters such as volume percent of SiO2 nanoparticles, mechanical loads, geometrical parameters, soil medium, on the static behavior of the plate. The most findings of this work indicate that the use of an optimum amount of SiO2 nanoparticles on concretes increases better mechanical behavior. In addition, the elastic foundation has a significant impact on the bending of concrete slabs. | ||
Key Words | ||
bending; elastic foundations; higher order shear deformation theory; plate theory; reinforced-concrete; silica nanoparticles | ||
Address | ||
Mohammed Chatbi, Baghdad Krour, Mohamed A. Benatta: Laboratoire des Structures et Matériaux Avancés dans le Génie Civil et Travaux Publics, University of Djillali Liabes, Sidi Bel Abbes, Algeria Zouaoui R. Harrat: Laboratoire des Structures et Matériaux Avancés dans le Génie Civil et Travaux Publics, University of Djillali Liabes, Sidi Bel Abbes, Algeria; Clermont Auvergne University, CNRS, Sigma, Institut Pascal, UMR 6602, Clermont-Ferrand, France Sofiane Amziane: Clermont Auvergne University, CNRS, Sigma, Institut Pascal, UMR 6602, Clermont-Ferrand, France Mohamed Bachir Bouiadjra: Laboratoire des Structures et Matériaux Avancés dans le Génie Civil et Travaux Publics, University of Djillali Liabes, Sidi Bel Abbes, Algeria; Thematic Agency for Research in Science and Technology (ATRST), Algiers, Algeria | ||