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Behaviour of a Strip Footing Embedded in a Sand Slope Reinforced with Multilayer Geotextile

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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.

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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)

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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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Correspondence to Emmanuel Baah-Frempong.

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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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