Abstract
This paper presents the numerical analysis using finite element modelling to observe the stability of embedded and surficial strip footings at the edge of the slope top. This study aims to develop the bearing capacity estimation for strip footing constructed at the top of the slope. Several variations in footing depth, dimension, slope inclination, and internal friction angle exist. Some important outputs are presented, including bearing capacity analysis, a global factor of safety (FS), and a displacement contour. Furthermore, the multivariate adaptive regression spline (MARS) is analysed to determine the model to predict the bearing capacity of strip footing. The results showed that a deeper strip footing depth has a larger bearing capacity and FS. The result also showed that based on MARS analysis, the equation considered four parameters could be implemented to predict bearing capacity analysis of strip footing at the edge of the slope top. In general, this study could contribute to developing a strip footing design for a specific case.
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Data Availability
All the datasets used and analysed during the current study are available from the corresponding author at the reasonable request
Abbreviations
- ν :
-
Poisson’s ratio
- γ b :
-
bulk unit weight (kN/m3)
- γ conc :
-
concrete unit weight (kN/m3)
- γ sat :
-
saturated unit weight (kN/m3)
- B :
-
strip footing width (m)
- BFs :
-
the fitted essential functions
- B i (x) :
-
sum of essential functions
- c :
-
soil cohesion (kN/m2)
- c i :
-
constant coefficient
- D f :
-
embedded depth of strip footing (m)
- E :
-
elastic modulus of soil (kN/m2)
- FS :
-
factor of safety
- GCV :
-
generalised cross-validation
- k x , k y :
-
soil permeability for horizontal and vertical directions, respectively (m/day)
- MAD :
-
mean absolute deviation
- MARS :
-
multivariate adaptive regression spline
- MSE :
-
mean square error
- q all :
-
allowable bearing capacity (kN/m2)
- q ult :
-
ultimate bearing capacity (kN/m2)
- R 2 :
-
the coefficient of determination
- RII :
-
relative importance index
- t cp :
-
concrete plate thickness
- β :
-
slope inclination (°)
- φ :
-
internal friction angle (°)
- ψ :
-
dilatancy angle (°)
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Acknowledgements
This research was conducted under the collaboration between the University of Bengkulu (Indonesia), Ho Chi Minh City University of Technology-Vietnam National University (Vietnam), and Thammasat University (Thailand). The authors also would like to thank everyone who assisted in performing this study.
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Contributions
• Lindung Zalbuin Mase: conceptualization, methodology, data analysis, visualisation, review—editing, project administration
• Mutiara Azzahara Putri: data analysis, visualisation
• Annisa Fitria Edriani: conceptualisation, data analysis, review—editing
• Van Qui Lai: conceptualization, methodology, data analysis, visualisation, review—editing
• Suraparb Keawsawasvong: conceptualization, methodology, data analysis, visualisation, review—editing
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Mase, L.Z., Putri, M.A., Edriani, A.F. et al. Prediction of the Bearing Capacity of Strip Footing at the Homogenous Sandy Slope Based on the Finite Element Method and Multivariate Adaptive Regression Spline. Transp. Infrastruct. Geotech. (2023). https://doi.org/10.1007/s40515-023-00334-x
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DOI: https://doi.org/10.1007/s40515-023-00334-x