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

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.