Abstract
This paper presents the results of laboratory model tests and numerical analysis on the behaviour of a strip footing embedded in a multilayer geotextile-reinforced sand slope. The investigation was aimed at determining the effect of footing embedment depth \( D \) and number of geotextile layers \( N \) on the bearing capacity and settlement characteristics of an embedded footing. The results show that the load–settlement behaviour of the embedded footing is significantly affected by \( D \) and \( N \). The advantage of reinforcing the slope with more than one geotextile layer and placing the footing below the slope crest has been evaluated using a non-dimensional parameter, called the ultimate bearing capacity ratio \( {\text{BCR}}_{u} \), defined as the ratio of ultimate bearing capacity of the reinforced case to that of unreinforced case. It is observed that \( {\text{BCR}}_{u} \) improves with an increase in \( N \) but reduces with an increase in \( D/B \), where \( B \) is the footing width. The minimum \( {\text{BCR}}_{u} \), \( {\text{BCR}}_{u} (\hbox{min} ) \approx 2 \) is observed for \( N = 1 \) and \( D/B = 1 \), while the maximum \( {\text{BCR}}_{u} \), \( {\text{BCR}}_{u} (\hbox{max} ) \approx 6 \) is attained when the footing is placed at \( D/B = 0 \) and \( N = 3 \). A comparison between the numerical and laboratory test results shows a very good agreement.
















Abbreviations
- \( B \) :
-
Width of footing (m)
- \( {\text{BCR}}_{u} \) :
-
Ultimate bearing capacity ratio
- \( \beta \) :
-
Slope angle (°)
- \( c \) :
-
Cohesion (kPa)
- \( C_{\text{c}} \) :
-
Coefficient of curvature
- \( C_{\text{u}} \) :
-
Uniformity coefficient
- \( D \) :
-
Embedded depth of footing (m)
- \( D_{\text{r}} \) :
-
Relative density of sand (%)
- \( D_{10} \) :
-
Particle diameter corresponding to 10% finer by weight (m)
- \( D_{30} \) :
-
Particle diameter corresponding to 30% finer by weight (m)
- \( D_{60} \) :
-
Particle diameter corresponding to 60% finer by weight (m)
- \( e \) :
-
Edge distance of footing from slope crest (m)
- \( E \) :
-
Young’s modulus (kN/m2)
- \( EA \) :
-
Axial stiffness (kN/m)
- \( EI \) :
-
Flexural rigidity (kN/m2/m)
- h :
-
Vertical spacing between geotextile layers (m)
- \( H \) :
-
Slope height (m)
- I bu :
-
Ultimate bearing capacity improvement factor (%)
- \( k_{\text{s}} \) :
-
Modulus of subgrade reaction (kN/m3)
- \( N \) :
-
Number of geotextile layers
- \( q \) :
-
Bearing capacity of footing (kPa)
- \( q_{\text{u}} \) :
-
Ultimate bearing capacity for unreinforced and reinforced slopes (kPa)
- \( q_{\text{uR}} \) :
-
Ultimate bearing capacity of footing for reinforced case (kPa)
- \( q_{\text{uU}} \) :
-
Ultimate bearing capacity of footing for unreinforced case (kPa)
- \( R_{\text{inter}} \) :
-
Strength reduction factor
- \( s \) :
-
Settlement of footing (m)
- \( s_{\text{u}} \) :
-
Settlement of footing at the ultimate bearing capacity \( q_{\text{u}} \) (m)
- \( u \) :
-
Depth of reinforcement from base of footing (m)
- \( \mu \) :
-
Poisson’s ratio
- \( \phi \) :
-
Angle of internal friction (°)
- \( \phi_{\text{peak}} \) :
-
Peak friction angle (°)
- \( \psi \) :
-
Angle of dilatancy (°)
- \( \gamma_{\text{d}} \) :
-
Dry unit weight (kN/m3)
- \( \gamma_{{{\text{d}}\,\hbox{max} }} \) :
-
Maximum dry unit weight (kN/m3)
- \( \gamma_{{{\text{d}}\,\hbox{min} }} \) :
-
Minimum dry unit weight (kN/m3)
References
Shukla SK, Sivakugan N, Das BM (2009) Fundamental concepts of soil reinforcement—an overview. Int J Geotech Eng 3(3):329–342. https://doi.org/10.3328/IJGE.2009.03.03.329-342
Berg R, Christopher B, Samtani N (2009) Design and construction of mechanically stabilized earth walls and reinforced soil slopes, FHWA-NHI-10-024. U.S. DOT, Washington, DC, USA
Koerner R (2005) Designing with geosynthetics, 5th edn. Upper Saddle River, New Jersey
Shukla SK (2016) An introduction to geosynthetic engineering. CRC Press, Boca Raton, USA
Mandal JN, Gupta P (1994) Stability of geocell-reinforced soil. Constr Build Mater 8(1):55–62. https://doi.org/10.1016/0950-0618(94)90009-4
Thallak SG, Saride S, Dash SK (2007) Performance of surface footing on geocell-reinforced soft clay beds. Geotech Geol Eng 25(5):509–524. https://doi.org/10.1007/s10706-007-9125-8
Yoo C (2001) Laboratory investigation of bearing capacity behavior of strip footing on geogrid-reinforced sand slope. Geotext Geomembr 19(5):279–298. https://doi.org/10.1016/S0266-1144(01)00009-7
Mittal S, Shah M, Verma N (2009) Experimental study of footings on reinforced earth slopes. Int J Geotech Eng 3(2):251–260. https://doi.org/10.3328/IJGE.2009.03.02.251-260
El Sawwaf MA (2007) Behavior of strip footing on geogrid-reinforced sand over a soft clay slope. Geotext Geomembr 25(1):50–60. https://doi.org/10.1016/j.geotexmem.2006.06.001
Keskin MS, Laman M (2013) Model studies of bearing capacity of strip footing on sand slope. KSCE J Civ Eng 17(4):699–711. https://doi.org/10.1007/s12205-013-0406-x
Keskin MS, Laman M (2014) Experimental and numerical studies of strip footings on a geogrid-reinforced sand slope. Arab J Sci Eng 39(3):1607–1619. https://doi.org/10.1007/s13369-013-0795-7
Altalhe EB, Taha MR, Abdrabbo FM (2015) Behavior of strip footing on reinforced sand slope. J Civ Eng Manag 21(3):376–383. https://doi.org/10.3846/13923730.2014.890646
Gill KS, Shukla SK, Jha JN, Choudhary AK (2013) Experimental and numerical studies of loaded strip footing resting on reinforced fly ash slope. Geosynth Int 20(1):13–25. https://doi.org/10.1680/gein.12.00036
Gill KS, Choudhary AK, Jha JN, Shukla SK (2013) Large model footing load test on reinforced coal ash slope. Int J Geotech Eng 7(3):257–265. https://doi.org/10.1179/1938636213Z.00000000040
Lee KM, Manjunath VR (2000) Experimental and numerical studies of geosynthetic-reinforced sand slopes loaded with a footing. Can Geotech J 37(4):828–842. https://doi.org/10.1139/t00-016
Alamshahi S, Hataf N (2009) Bearing capacity of strip footings on sand slopes reinforced with geogrid and grid-anchor. Geotext Geomembr 27(3):217–226. https://doi.org/10.1016/j.geotexmem.2008.11.011
Choudhary AK, Jha JN, Gill KS (2010) Laboratory investigation of bearing capacity behaviour of strip footing on reinforced flyash slope. Geotext Geomembr 28(4):393–402. https://doi.org/10.1016/j.geotexmem.2009.09.007
Mehrjardi GT, Ghanbari A, Mehdizadeh H (2016) Experimental study on the behaviour of geogrid-reinforced slopes with respect to aggregate size. Geotext Geomembr 44(6):862–871. https://doi.org/10.1016/j.geotexmem.2016.06.006
Huang CC (2016) Settlement of footings at the crest of reinforced slopes subjected to toe unloading. Geosynth Int 23(4):247–256. https://doi.org/10.1680/jgein.15.00045
Kotake N, Tatsuoka F, Tanaka T, Siddiquee MSA, Huang CC (2004) FEM simulation of the failure of reinforced sand slopes subjected to footing load. Geosynth Int 11(1):1–18. https://doi.org/10.1680/gein.2004.11.1.1
Naeini SA, Rabe BK, Mahmoodi E (2012) Bearing capacity and settlement of strip footing on geosynthetic reinforced clayey slopes. J Central South Univ Technol 19(4):1116–1124. https://doi.org/10.1007/s11771-012-1117-z
Acharyya R, Dey A (2017) Finite element investigation of the bearing capacity of square footings resting on sloping ground. INAE Lett 2(3):97–105. https://doi.org/10.1007/s41403-017-0028-6
Javdanian H (2017) On the behaviour of shallow foundations constructed on reinforced soil slope—a numerical analysis. Int J Geotech Eng. https://doi.org/10.1080/19386362.2017.1416971
Shields DH, Scott JD, Bauer GE, Deschemes JH, Barsvary AK (1977) Bearing capacity of foundations near slopes. In: Proceedings of the 9th international conference on soil mechanics and foundation engineering, Tokyo, pp 715–720
Bauer GE, Shields DH, Scot JD, Gruspier JE (1981) Bearing capacity of footing in granular slope. In: Proceedings of the 11th international conference on soil mechanics and foundation engineering, Balkema, Rotterdam, The Netherlands, pp 33–36
Baah-Frempong E, Shukla SK (2019) Embedded strip footing in a geotextile-reinforced sand slope. Proc Inst Civ Eng Ground Improv. https://doi.org/10.1680/jgrim.18.00127
AS 1289.0 (2000) Australian standards for the method of testing soils for engineering purposes. Standards Australia, Sydney
ASTM D4595 (2017) Standard test method for tensile properties of geotextiles by the wide-width strip method. ASTM International, West Conshohocken
Selvadurai APS, Gnanendran CT (1989) An experimental study of a footing located on a sloped fill: influence of a soil reinforcement layer. Can Geotech J 26(3):467–473. https://doi.org/10.1139/t89-059
Vesic AS (1973) Analysis of ultimate loads of shallow foundations. J Soil Mech Found Eng 94(3):661–688
Terzargi K, Peck RB, Mesri G (1996) Soil mechanics in engineering practice, 3rd edn. Wiley, New York
Shukla SK (2015) Core Concepts of Geotechnical Engineering. ICE Publishing, London, UK
Huang CC, Tatsuoka F, Sato Y (1994) Failure mechanisms of reinforced sand slopes loaded with a footing. Soils Found 34(2):27–40. https://doi.org/10.3208/sandf1972.34.2_27
Baah-Frempong E, Shukla SK (2018) Stability analysis and design charts for a sandy soil slope supporting an embedded strip footing. Int J Geo-Eng 9(13):1–23. https://doi.org/10.1186/s40703-018-0082-2
Shin EC, Das BM, Lee ES, Atalar C (2002) Bearing capacity of strip foundation on geogrid-reinforced sand. J Geotech Geol Eng 20(2):169–180. https://doi.org/10.1023/A:1015059427487
Patra CR, Das BM, Atalar C (2005) Bearing capacity of embedded strip foundation on geogrid-reinforced sand. Geotext Geomembr 23(5):454–462. https://doi.org/10.1016/j.geotexmem.2005.02.001
Brinkgreve RB, Kumarswamy S, Swolfs WM (2016) Plaxis 2D–3D overview of the full manual-general information. Delft, Netherlands
Lovisa J, Shukla SK, Sivakugan N (2010) Behaviour of prestressed geotextile-reinforced sand bed supporting a loaded circular footing. Geotext Geomembr 28(1):23–32. https://doi.org/10.1016/j.geotexmem.2009.09.002
Sexton BG, McCabe BA (2013) Numerical modelling of the improvements to primary and creep settlements offered by granular columns. Acta Geotech 8(4):447–464. https://doi.org/10.1007/s11440-012-0205-4
Amorosi A, Boldini D, Falcone F (2014) Numerical prediction of tunnel performance during centrifuge dynamic tests. Acta Geotech 9(4):581–596. https://doi.org/10.1007/s11440-013-0295-7
Maiorano RMS, Russo G, Viggiani C (2014) A landslide in stiff, intact clay. Acta Geotech 9(5):817–829. https://doi.org/10.1007/s11440-013-0249-0
Thiyyakkandi S, McVay M, Bloomquist D, Lai P (2014) Experimental study, numerical modeling of and axial prediction approach to base grouted drilled shafts in cohesionless soils. Acta Geotech 9(3):439–454. https://doi.org/10.1007/s11440-013-0246-3
Kazi M, Shukla SK, Habibi D (2015) An improved method to increase the load-bearing capacity of strip footing resting on geotextile-reinforced sand bed. Indian Geotech J 45(1):98–109. https://doi.org/10.1007/s40098-014-0111-9
Kazi M, Shukla SK, Habibi D (2015) Behavior of embedded strip footing on sand bed reinforced with multilayer geotextile with wraparound ends. Int J Geotech Eng 9(5):437–452. https://doi.org/10.1179/1939787914Y.0000000085
Kazi M, Shukla SK, Habibi D (2016) Behaviour of an embedded footing on geotextile-reinforced sand. Proc Inst Civ Eng Ground Improv 169(2):120–133. https://doi.org/10.1680/grim.14.00022
Nasvi MCM, Krishnya S (2019) Stability analysis of Colombo–Katunayake Expressway (CKE) using finite element and limit equilibrium methods. Indian Geotech J. https://doi.org/10.1007/s40098-019-00357-7
Bolton MD (1986) The strength and dilatancy of sand. Geotechnique 36(1):65–78. https://doi.org/10.1680/geot.1986.36.1.65
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Both authors worked together for defining the problem with a clear objective of this research; the laboratory tests and numerical investigation were conducted scientifically by the first author with technical inputs from the second author; and both authors worked together for writing this paper.
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Baah-Frempong, E., Shukla, S.K. Behaviour of a Strip Footing Embedded in a Sand Slope Reinforced with Multilayer Geotextile. Indian Geotech J 50, 560–576 (2020). https://doi.org/10.1007/s40098-019-00393-3
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DOI: https://doi.org/10.1007/s40098-019-00393-3