Calculation of the New Gravity Wall Composed of Three Flat Slabs by the Equations of Bending Theory of Shells

Background/Objectives: In this paper, for the weight reduction of concrete gravity walls and reduction of wall thickness, flat slabs with the retaining walls have been matched and offered a new wall. Methods/Statistical Analysis: In this article, flat slabs are adapted with concrete gravity walls. Then to calculate new retaining wall, a new method, based on the principles of mathematics and engineering mechanics, is presented. In solving the new retaining wall, Fourier series and shells theory and the classical analysis method are used. Findings: In this research, a new structure form to reduce the material used in concrete gravity retaining walls and a new method for analyzing the new retaining walls have been offered. In addition, equations of bending theory of cylindrical shells considering with physical and mathematical aspects in solving the new retaining wall consisting of three flat slabs as well as engineering mechanics bases and classical analysis method have been indicated. Moreover, Fourier series to solve the new retaining wall problem have been used. Also, the studies showed that the use of the new retaining wall is more economical. Applications/Improvements: In various projects such as road, bridge building, landscaping, new retaining wall can be used. In general, new retaining wall can be used to stop the soil from falling everywhere.