Abstract
In this paper, optimal design of reinforced concrete cantilever retaining walls is performed under static loads utilizing the charged system search (CSS) method. This design is based on ACI 318-05, and optimization is on the basis of cost function of materials used in retaining walls and their constructions. This function is minimized while satisfying the design constraints. Performance of the CSS algorithm is compared to that of the improved harmony search algorithm. Four examples are optimized and their convergence curves are compared.
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Abbreviations
- t t :
-
Top stem thickness
- t b :
-
Bottom stem and key thickness
- H T :
-
Top stem height
- H B :
-
Bottom stem height
- L T :
-
Toe length
- L H :
-
Heel length
- L :
-
Total length of the base of the footing
- h f :
-
Footing thickness
- γ b :
-
Density of the fill
- φ :
-
Internal friction angle of the fill
- β :
-
Backfill slope
- μ :
-
Base friction coefficient
- γ c :
-
Density of the concrete
- W w,t :
-
Weight of the top stem
- W w,b :
-
Weight of the bottom stem
- W b :
-
Weight of the fill on the heel
- W s :
-
Surcharge weight
- h k :
-
Key depth
- h p :
-
Soil over toe
- C 1 :
-
Cost of the concrete
- C 2 :
-
Cost of the steel
- C 3 :
-
Cost of the concreting
- C 4 :
-
Cost of the erecting reinforcement
- F1, F2:
-
Type of the back fills
- T1, …, T7:
-
The selected variables
References
Dembicki E., Chi T.: System analysis in calculation of cantilever retaining wall.Int. J. Numer. Anal. Method Geomech. 13, 599–610 (1989)
Keskar, A.V.; Adidam, S.R.: Minimum cost design of a cantilever retaining wall. Indian Concrete J. Bombay, India, 401–405 (1989)
Saribas A., Erbatur F.: Optimization and sensitivity of retaining structures. J. Geotech. Eng. 8, 649–656 (1996)
Rhomberg E.J., Street W.M.: Optimal design of retaining walls. J. Struct. Div. ASCE 107, 992–1002 (1981)
Basudhar, P.K.; Lakshman, B.: Optimal cost design of cantilever retaining walls. IGC 2006. Chennai, India. 14–16 December 2006
Sivakumar V., Munwar B.: Optimum design of cantilever retaining walls using target reliability approach.Int. J. Geomech. 8, 240–252 (2008)
Yepes V., Alcala J., Perea C., Gonzalez-Vidosa F.: A parametric study of optimum earth-retaining walls by simulated annealing. Eng. Struct. 30, 821–830 (2008)
Kaveh A., Talatahari S.: A novel heuristic optimization method: charged system search. Acta Mech. 213(3–4), 267–286 (2010)
Kaveh A., Talatahari S.: Optimal design of truss structures via the charged system search algorithm. Struct. Multidisp. Optim. 37(6), 893–911 (2010)
ACI Committee 318: Building Code Requirements for Structural Concrete (ACI 318-05) and Commentary (318R-05). American Concrete Institute, Farmington Hills (2005)
Geem Z.W.: Harmony Search Algorithms for Structural Design. Springer, Berlin (2009)
Mahdavi M., Fesanghary M., Damangir E.: An improved harmony search algorithm for solving optimization problems. Appl. Math. Comput. 188, 1567–1579 (2007)
Kaveh A., Talatahari S.: Particle swarm optimizer, ant colony strategy and harmony search scheme hybridized for optimization of truss structures. Comput. Struct. 87, 267–283 (2009)
Kaveh A., Shakouri Mahmud Abadi A.: Harmony search based algorithm for the optimum cost design of reinforced concrete cantilever retaining walls. Int. J. Civ. Eng. 9(1), 1–18 (2011)
Das, B.M.: Principles of Foundation Engineering, 5th edn. Brooks/Cole. a Division of Thomson Learning Inc., Belmont (2004)
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Kaveh, A., Behnam, A.F. Charged System Search Algorithm for the Optimum Cost Design of Reinforced Concrete Cantilever Retaining Walls. Arab J Sci Eng 38, 563–570 (2013). https://doi.org/10.1007/s13369-012-0332-0
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DOI: https://doi.org/10.1007/s13369-012-0332-0