Reliability Study of the Stability of a Retaining Wall for Underground Parking Type Structures with Two-storey Basement

Déthié Sarr^1, , Mouhamedine Wade¹, Ayoub Insa Correa² and Thierno Lamine Mouhamadou Sakho³

¹Geotechnics Department, Engineering Sciences UFR, Iba Der Thiam University, Thiès, Senegal

²Civil Engineering Department, Engineering Sciences UFR, Iba Der Thiam University, Thiès, Senegal

³CGroupe GCE SA, Senegal

Cite this paper:
Déthié Sarr, Mouhamedine Wade, Ayoub Insa Correa and Thierno Lamine Mouhamadou Sakho. Reliability Study of the Stability of a Retaining Wall for Underground Parking Type Structures with Two-storey Basement. American Journal of Civil Engineering and Architecture. 2025; 13(1):19-26. doi: 10.12691/ajcea-13-1-4

Abstract

The aim of this work is to see whether supports defined as stable by deterministic calculations can automatically be reliable in the geotechnical sense, as is often considered in Senegal. The analysis was carried out on an building project that had to rest on a two-level subsoil in a site requiring underpinning. A deterministic calculation of the project is carried out to verify the stability of the retaining wall with a safety factor. Then, a probabilistic calculation is made to take into account the variability of the characteristics of the soils that will house the retaining structure, with a coefficient of variation of 10%. The reliability index is determined by considering a safety factor threshold value of 1.5. The length of the sheet with reliable stability is then determined. The results show that for a plug length of 1.8 m, both the secant pile wall and the cast wall are stable with a safety factor greater than 1.7. However, the probabilities of failure and the reliability index remain below their thresholds for both the secant pile wall and the cast wall when the plug is 1.8 m long. The supports are stable and reliable when the plug length is 2.8 m for the same materials. In conclusion, a safety factor greater than the limit does not guarantee a reliable structure in deterministic studies.

Keywords:
retaining wall reliability safety factor probabilities of failure reliability index

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References:

[1]	Moghadaripour. M. Faradjollah A. and Shafiee A,“Application of Reliability in Stability Analysis of an Earth Dam,” Journal of System Engineering and Electronics, vol 15 N°3 and 4, 2013.
[2]	Mbarka Selmi, Mounir Ltif and Nizar Bel Hadj Ali (2006), “Application of the Monte Carlo method in the analysis of slope stability,” Journées Nationales de Géotechnique et de Géologie de l'Ingénieur JNGG2006 - Lyon 2006.
[3]	ANACIM weather bulletins (2014) (available at http:// www.anacim.sn/produits-du-gtp/).
[4]	Roger J., Noel B. J., Barusseau J. P., Serrano O., Nehlig P., Duvail C.,“Notice explicative de la carte géologique du Sénégal à 1/500000, feuilles nord-ouest, nord-est et sud-ouest,” Ministère des Mines, de l'Industrie et des PME, Direction des Mines et de la Géologie, Dakar, 61 pages, 2009.
[5]	AFNOR, NF P 94-110-1 (January 2000), “Sols: reconnaissance et essais. Essai pressiométrique Ménard”. FA045094 ISSN0335-3931, 2000.
[6]	Mohamed Khemissa,“Stability analysis methods and slope stabilisation techniques,” Journées Nationales de Géotechnique et de Géologie de l'Ingénieur JNGG2006 - Lyon/France, 2006.
[7]	Guler E., Hamderi M., Demirkan M. M. (2007), “Numerical analysis of reinforced soil-retaining wall structures and granular backfills”, Geosynthetics International, 14, No. 6, 330-345, 2007.
[8]	Mohamed Khemissa and Ahmed Seddiki (2010), “Analysis of instability factors of an urbanized slope, “Journées Nationales de Géotechnique et de Géologie de l'Ingénieur JNGG2010 – Grenoble, 7-9. July. 2010.
[9]	Delattre, L., Marten, S., “Un siècle de méthodes de calcul d''écrans de soutènement: II - Les approches empiriques et semi-empiriques,” Bulletin des Laboratoires des Ponts et Chaussées, BLPC 244-245, pp. 31-51, May-June-July-August 2003 Ref. 44577.
[10]	Vanoudheusden E., Petit G. et Robert J., Emeriault F., Kastner R., “Comportement d'une Paroi moulée en site urbain: Modélisations et mesures. Diaphragm Wall's behavior: Predictions and measures,” Proceedings of the 16th International Conference on soil Mechanics and Geotechnical Engineering, 2005-2006 Millpress Science Publishers/IOS Press.
[11]	Kaster R. (2018) – “Anchored or butted retaining walls: the contribution of organised feedback,” Rev. Fr. Geotech, 115, 1. CFMS-CFGI-CFMR-CFG, Published by EDP Sciences 2018.
[12]	Favre. J. L. (2001), “Les différents types d'erreurs et leur prise en compte dans les calculs géotechniques,” Revue e Géotechnique N 93, 4th quarter 2000, 2001.
[13]	Kok-Kwang Phoon (2008), Reliability-Based Design in Geotechnical Engineering, Tailor and Francis. ISBN 978-0-415-39630-1 (hbk : alk.paper - ISBN 978-0-203-93424-1 (e-book).
[14]	Gregory B., Baecher and John T. Christian., “Reliability and Statistics in Geotechnical Engineering,” John Wiley and Sons, Ltd. ISBN 0-471-49833-5, 2003.
[15]	Phoon, K.K. & Kulhawy, F.W., “Characterization of geotechnical variability,” Canadian Geotechnical Journal, vol 36, 612-629, 1999.
[16]	H. Rouanet B. Leclerc (1970), Le rôle de la distribution normale en statistique Mathématiques et sciences humaines, tome 32 (1970), p. 57-74.
[17]	Sétra, “Reliability theory: Application to the structural assessment of engineering structures”, Study report, 2012.
[18]	AFNOR, “Eurocodes structuraux, Bases de calcul des structures”, NF EN 1990, AFNOR. FA102408. ISSN 0335-3931, 2003.