Optimizing Reinforced Concrete Cantilever Retaining Walls Using Gases Brownian Motion Algorithm (GBMOA)

Document Type : Regular Article


1 Engineer, Department of Civil Engineering Faculty of Central Tehran Branch, Islamic Azad University, Tehran, Iran

2 Professor, Faculty of Civil Engineering KN Toosi University of Technology, Tehran, Iran

3 Engineer, Department of Civil Engineering, University of Science and Culture, Tehran, Iran


In this paper, the cost and weight of the reinforcement concrete cantilever retaining wall are optimized using Gases Brownian Motion Optimization Algorithm (GBMOA) which is based on the gas molecules motion. To investigate the optimization capability of the GBMOA, two objective functions of cost and weight are considered and verification is made using two available solutions for retaining wall design. Furthermore, the effect of wall geometries of retaining walls on their cost and weight is investigated using four different T-shape walls. Besides, sensitivity analyses for effects of backfill slope, stem height, surcharge, and backfill unit weight are carried out and of soil. Moreover, Rankine and Coulomb methods for lateral earth pressure calculation are used and results are compared. The GBMOA predictions are compared with those available in the literature. It has been shown that the use of GBMOA results in reducing significantly the cost and weight of retaining walls. In addition, the Coulomb lateral earth pressure can reduce the cost and weight of retaining walls.


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