Optimizing Concrete Retaining Wall Design: A Parametric Study on Soil Friction and Toe-to-Heel Ratio
Received: 22 June 2025 | Revised: 25 July 2025 | Accepted: 14 August 2025 | Online: 6 October 2025
Corresponding author: Riza Suwondo
Abstract
Concrete Retaining Walls (CRWs) remain the most widely used system for stabilizing the earth slopes; however, their safety margins depend on both the soil properties and base geometry. Although numerous analytical and numerical studies have been conducted, the combined influence of the backfill shear strength and Toe-to-Heel (T:H) proportioning on the global stability has not been quantified across the height range, typical of transportation and infrastructure projects. This study addresses this gap by evaluating how the backfill friction angle and T:H affect the Factors of Safety (FS) against sliding, overturning, and bearing-capacity failure for walls 4 m to 10 m in height. A series of wall configurations was analyzed using closed-form limit-equilibrium equations that incorporate Rankine active earth pressure and eccentric footing stresses. The results show that increasing the backfill friction angle lowers the active pressure coefficient nonlinearly, increasing the sliding and overturning factors by up to 150% for 10 m walls and postponing the bearing failure by approximately 2 m in height. Extending the heel (T:H ≈ 0.5) provides up to a two-fold increase in the sliding and overturning resistance relative to a toe-dominant base, whereas lengthening the toe alone produces only marginal gains and has little impact on the bearing safety. Thus, the current study provides quantitative guidance that enables designers to trade off the soil quality and geometric proportions for a safer and more economically retaining wall construction.
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References
S. Sharma, "Teaching Retaining Wall Design with Case Histories," Geo-Frontiers 2011: Advances in Geotechnical Engineering, pp. 2877–2886, Apr. 2012.
Q. Li, P. Li, K. Cui, Y. Ji, D. Zhang, and Y. Qing, "Seismic fragility curves for concrete gravity retaining wall," Soil Dynamics and Earthquake Engineering, vol. 183, Aug. 2024, Art. no. 108806.
H. Tahsin Öztürk, T. Dede, and E. Türker, "Optimum design of reinforced concrete counterfort retaining walls using TLBO, Jaya algorithm," Structures, vol. 25, pp. 285–296, Jun. 2020.
A. H. Gandomi and A. R. Kashani, "Automating pseudo-static analysis of concrete cantilever retaining wall using evolutionary algorithms," Measurement, vol. 115, pp. 104–124, Feb. 2018.
A. Diwalkar, "Analysis and Design of Retaining Wall: A Review." Social Science Research Network, Rochester, NY, Jun. 09, 2020.
F. K. Lehner and M. P. J. Schöpfer, "Slope stability and exact solutions for cohesive critical Coulomb wedges from Mohr diagrams," Journal of Structural Geology, vol. 116, pp. 234–240, Nov. 2018.
P. Kloukinas and G. Mylonakis, "Generalized Rankine solutions for seismic earth pressures: Validity, limitations & refinements," Soil Dynamics and Earthquake Engineering, vol. 179, Apr. 2024, Art. no. 108502.
B. Ukritchon, S. Chea, and S. Keawsawasvong, "Optimal design of Reinforced Concrete Cantilever Retaining Walls considering the requirement of slope stability," KSCE Journal of Civil Engineering, vol. 21, no. 7, pp. 2673–2682, Nov. 2017.
S. Talatahari and R. Sheikholeslami, "Optimum design of gravity and reinforced retaining walls using enhanced charged system search algorithm," KSCE Journal of Civil Engineering, vol. 18, no. 5, pp. 1464–1469, Jun. 2014.
B. Ding, I. Pérez-Rey, M. A. González-Fernández, S. Yuan, H. Tang, and L. R. Alejano, "Optimizing shape design in drystone retaining walls: A multi-scope approach focusing on failure mechanisms," Construction and Building Materials, vol. 489, Aug. 2025, Art. no. 142116.
Y. Pei and Y. Xia, "Design of Reinforced Cantilever Retaining Walls using Heuristic Optimization Algorithms," Procedia Earth and Planetary Science, vol. 5, pp. 32–36, Jan. 2012.
A. Lazizi, H. Trouzine, A. Asroun, and F. Belabdelouhab, "Numerical Simulation of Tire Reinforced Sand behind Retaining Wall Under Earthquake Excitation," Engineering, Technology & Applied Science Research, vol. 4, no. 2, pp. 605–611, Apr. 2014.
E. J. Rhomberg and W. M. Street, "Optimal Design of Retaining Walls," Journal of the Structural Division, vol. 107, no. 5, pp. 992–1002, May 1981.
A. Sarıbaş and F. Erbatur, "Optimization and Sensitivity of Retaining Structures," Journal of Geotechnical Engineering, vol. 122, no. 8, pp. 649–656, Aug. 1996.
V. R. Greco, "Stability of Retaining Walls against Overturning," Journal of Geotechnical and Geoenvironmental Engineering, vol. 123, no. 8, pp. 778–780, Aug. 1997.
H. Djadouni, H. Trouzine, A. Gomes Correia, and T. F. da S. Miranda, "2D numerical analysis of a cantilever retaining wall backfilled with sand–tire chips mixtures," European Journal of Environmental and Civil Engineering, vol. 25, no. 6, pp. 1119–1135, Apr. 2021.
D. R. VandenBerge, E. C. Reed, and R. Li, "Mobilized Bearing Capacity Analysis of Global Stability for Walls Supported by Aggregate Piers," Journal of Geotechnical and Geoenvironmental Engineering, vol. 147, no. 6, Jun. 2021, Art. no. 04021034.
V. P. Singh, "Multi-Approach Global Stability Assessment of Soil Nail Walls," in Earth Retaining Structures and Stability Analysis, Singapore, 2023, pp. 291–301.
F. Tschuchnigg, H. F. Schweiger, S. W. Sloan, A. V. Lyamin, and I. Raissakis, "Comparison of finite-element limit analysis and strength reduction techniques," Géotechnique, vol. 65, no. 4, pp. 249–257, Apr. 2015.
H. F. Schweiger and F. Tschuchnigg, "A numerical study on undrained passive earth pressure," Computers and Geotechnics, vol. 140, Dec. 2021, Art. no. 104441.
J. Li, X. Li, M. Jing, and R. Pang, "Numerical Limit Analysis of the Stability of Reinforced Retaining Walls with the Strength Reduction Method," Water, vol. 14, no. 15, Jan. 2022, Art. no. 2319.
W. J. M. Rankine, "II. On the stability of loose earth," Philosophical Transactions of the Royal Society of London, vol. 147, pp. 9–27, Jan. 1997.
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Copyright (c) 2025 Riza Suwondo, Militia Keintjem, Aksan Kawanda
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