Forecasting Bearing Capacity, Error Analyses and Parametric Analysis of Circular Footing Seating on the Limited Thick Sand-Layer with Eccentric-Inclined Load

Document Type : Research Papers

Authors

1 Ph.D., Department of Civil Engineering, Aditya College of Engineering and Technology, Surampalem, Andhra Pradesh, India.

2 Ph.D. Candidate, Department of Civil Engineering, Indian Institute of Technology Roorkee, Uttarakhand, India.

3 Associate Professor, Department of Civil Engineering, Michael Okpara University of Agriculture, Umudike Umuahia, Nigeria.

4 Ph.D., Department of Civil Engineering, National Institute of Technology, Hamirpur, Himachal Pradesh, India.

Abstract

Bearing Capacity (BC) of the soil is one of the crucial parameters to construct any structure. A consistent soft computing models can reduce the cost and time by swiftly generate the required experimental data. This research presents, M5P model tree and feedforward backpropagation ANN model have been used to predict the BC of the circular footing resting on the limited thick sand-layer with eccentric-inclined load. To generate the proposed model, a set of 120 data are gathered from the literature. The results of M5P model tree achieved a coefficient of determination (R²) of 0.96 for both training and testing phases. The Mean Absolute Percentage Error (MAPE) was 19.83% for training and 21.46% for testing. Whereas, for ANN model, R2 is 0.98 and 0.97; MAPE is 18.20 and 16.29 for training and testing, respectively. The R2 and MAPE results reveals that, the ANN model is better substitute method for predict the BC of the Circular Footing (CF) resting on the limited thick sand-layer with eccentric-inclined load than the M5P model. Further, model equations are developed to calculate the BC of the circular footing for the both the methods.  Finally, sensitivity analysis concludes that the input parameter ratio of depth of the rigid rough base to width of footing (H/B) is the most influencing parameter to predict the desired output.

Keywords


Acharyya, R. and Dey, A. (2019). “Assessment of bearing capacity for strip footing located near sloping surface considering ANN model”, Neural Computing and Applications, 31, 8087-8100, https://doi.org/10.1007/S00521-018-3661-4/FIGURES/22.
Acharyya, R., Dey, A. and Kumar, B. (2020). “Finite element and ANN-based prediction of bearing capacity of square footing resting on the crest of c-φ soil slope”, International Journal of Geotechnical Engineering, 14, 176-187, https://doi.org/10.1080/19386362.2018.1435022.
Behnood, A., Behnood, V., Modiri Gharehveran, M. and Alyamac, K.E. (2017). “Prediction of the compressive strength of normal and high-performance concretes using M5P model tree algorithm”, Construction and Building Materials, 142, 199-207, https://doi.org/10.1016/J.CONBUILDMAT.2017.03.061.
Blum A. (1992). Neural network in C++, Wiley, New York, https://www.scirp.org/reference/referencespapers?referenceid=3084639.
Boger, Z. and Guterman, H. (1997). “Knowledge extraction from artificial neural networks models”, Proceedings of the IEEE International Conference on Systems, Man and Cybernetics, 4, 3030-3035, https://doi.org/10.1109/ICSMC.1997.633051.
Garson, G.D. (1991). “Interpreting neural network connection weights”, AI Expert, 6, 47-51, https://www.semanticscholar.org/paper/Interpreting-neural-network-connection-weights-Garson/d5e392035d5f4b1ae37027cabfd1bfdf6733015b.
Dutta, R.K., Dutta, K. and Jeevanandham, S. (2015). “Prediction of deviator stress of sand reinforced with waste plastic strips using neural network”, International Journal of Geosynthetics and Ground Engineering, 1, 1-12, https://doi.org/10.1007/s40891-015-0013-7.
Ebid, A.M., Onyelowe, K.C. and Arinze, E.E. (2021). “Estimating the ultimate bearing capacity for strip footing near and within slopes using AI (GP, ANN and EPR) techniques”, Journal of Engineering, 2021(1), 3267018,  https://doi.org/10.1155/2021/3267018.
Gnananandarao, T., Dutta, R.K., Khatri, V.N. and Kumar, M.S., (2022). “Soft computing based prediction of unconfined compressive strength of fly ash stabilized organic clay”, Journal of Soft Computing in Civil Engineering, 6, 43-58, https://doi.org/10.22115/SCCE.2022.339698.1429.
Ito, Y. (1994). “Approximation capability of layered neural networks with sigmoid units on two layers”, Neural Computation, 6, 1233-1243, https://doi.org/10.1162/NECO.1994.6.6.1233.
Khandelwal, M., Marto, A., Fatemi, S.A., Ghoroqi, M., Armaghani, D.J., Singh, T.N. and Tabrizi, O.  (2018). “Implementing an ANN model optimized by genetic algorithm for estimating cohesion of limestone samples”, Engineering with Computers, 34, 307-317, https://doi.org/10.1007/S00366-017-0541-Y/FIGURES/8.
Kumar, V.,   Priyadarshee, A.,   Chandra, S.,   Jindal, A. and Rana, D. (2023). “Behavioral study of raft reinforced with geogrid and geocell through experiments and neural models”, Civil Engineering Infrastructures Journal, 56, 321-332, https://ceij.ut.ac.ir/article91785.html.
Kůrková, V. (1992). “Kolmogorov’s theorem and multilayer neural networks”, Neural Networks, 5, 501-506, https://doi.org/10.1016/0893-6080(92)90012-8.
Linoff, G.S. and Berry, M.J.A. (1997). Data mining techniques: For marketing, sales, and customer Relationship management, Wiley, New York, https://www.researchgate.net/publication/271077515_Data_Mining_Techniques_For_Marketing_Sales_andCustomerRelationshipManagement.
Loukidis, D. and Ygeionomaki, N. (2017). “Bearing capacity in sand under eccentric and inclined loading using a bounding surface plasticity model”, Springer Series in Geomechanics and Geoengineering, 267-273, https://doi.org/10.1007/978-3-319-56397-834.
Olden, J.D. and Jackson, D.A. (2002). “Illuminating the “black box”: A randomization approach for understanding variable contributions in Artificial Neural Networks”, Ecological Modelling, 154, 135-150, https://doi.org/10.1016/S0304-3800(02)00064-9.
Onyelowe, K.C., Gnananandarao, T. and Ebid, A.M. (2022). “Estimation of the erodibility of treated unsaturated lateritic soil using support vector machine-polynomial and -radial basis function and random forest regression techniques”, Cleaner Materials, 3, 100039, https://doi.org/10.1016/J.CLEMA.2021.100039/REFERENCES.
Onyelowe, K.C., Gnananandarao, T. and Nwa-David, C. (2021). “Sensitivity analysis and prediction of erodibility of treated unsaturated soil modified with nanostructured fines of quarry dust using novel artificial neural network”, Nanotechnology for Environmental Engineering, 6(2), 1-11, https://doi.org/10.1007/S41204-021-00131-2.
Quinlan, J.R. (1992). “Learning with continuous classes”, In: Australian Joint Conference on Artificial Intelligence, (pp. 343-348), https://www.semanticscholar.org/paper/Learning-With-Continuous-Classes-Quinlan/ead572634c6f7253bf187a3e9a7dc87ae2e34258.
Saha, S., Gu, F., Luo, X. and Lytton, R.L. (2018). “Use of an artificial neural network approach for the prediction of resilient modulus for unbound granular material”, Transportation Research Record: Journal of the Transportation Research Board, 2672, 23-33, https://doi.org/10.1177/0361198118756881.
Sarle, W.S. (1995). “Stopped training and other remedies for overfitting”, In: Proceedings of the 27th Symposium on the Interface of Computing Science and Statistics, (pp. 352-360), https://www.semanticscholar.org/paper/Stopped-Training-and-Other-Remedies-for-Overfitting-Sarle/851743cc8d65f0f6004a2a2279025f8377fc124c.
Sasmal, S.K. and Behera, R.N. (2021). “Prediction of combined static and cyclic load-induced settlement of shallow strip footing on granular soil using artificial neural network”, International Journal of Geotechnical Engineering, 15, 834-844, https://doi.org/10.1080/19386362.2018.1557384.
Sethy, B.P., Patra, C.R., Das, B.M. and Sobhan, K. (2020). “Behavior of circular foundation on sand layer of limited thickness subjected to eccentrically inclined load”, Soils and Foundations, 60, 13-27, https://doi.org/10.1016/j.sandf.2019.12.005.
Sethy, B.P., Patra, C.R., Das, B.M. and Sobhan, K. (2019). “Bearing capacity of circular foundation on sand layer of limited thickness underlain by rigid rough base subjected to eccentrically inclined load”, Geotechnical Testing Journal, 42, 597-609, https://doi.org/10.1520/GTJ20170420.
Terzaghi, K. (1973). Theoretical soil mechanics, 1st Edition, John Wiley and Sons, Inc., https://doi.org/10.1002/9780470172766.
Thottoth, S.R., Das, P.P. and Khatri, V.N. (2024). “Prediction of compression capacity of under-reamed piles in sand and clay”, Multiscale and Multidisciplinary Modeling, Experiments and Design, 2024, 1-17, https://doi.org/10.1007/S41939-023-00331-0.
Vesic, A.S. (1973). “Analysis of ultimate loads of shallow foundations”, Journal of the Soil Mechanics and Foundations Division, 99, 45-73, https://doi.org/10.1061/JSFEAQ.0001846.
Vishal, P. and Dutta, R.K. (2022). “Application of machine learning technique in predicting the bearing capacity of rectangular footing on layered sand under inclined loading”, Journal of Soft Computing in Civil Engineering, 6, 130-152, https://www.jsoftcivil.com/article158236.html.
Wang, Y. and Witten, I.H. (1997). “Induction of model trees for predicting continuous classes”, In: Proceedings of the 9th European Conference on Machine Learning Poster Papers, (pp. 128-137), https://www.researchgate.net/publication/33051395_Induction_of_model_trees_for_predicting_continuous_classes.