Abstract
This study presents the variability influence of the geotechnical parameters using random fields for shallow foundations. Knowing the variation of bearing capacity can lead to a better foundation design. The present study was made through continuous-footing finite element models (FEM). These FEM models used a constitutive elastoplastic model that takes the geological history of the soil. The model’s parameters were generated as random fields with the decomposition matrix technique (Cholesky factorization). Later, these parameters were integrated into the FEM models. Then, more than 2400 FEM simulations were made. The simulations show the parameters that must be carefully obtained to reduce the variability of the load capacity. In addition, the results show that the soil compressibility parameters have a significant influence on the value of the bearing capacity. However, the compression parameters aren’t taken into account in the classical equations of bearing capacity.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Terzaghi K (1943) Theoretical soil mechanics, 6th edn. Wiley, New York
Hansen B (1961) A general formula for bearing capacity. Dan Geotech Inst 11(1):38–46
Meyerhof G (1963) Some recent research of the bearing capacity of foundations. Can Geotech J 1(1):16–26
Vesic A (1973) Analysis of ultimate loads of shallow foundations. J Soil Mech Found Div 99(1):45–73
Lump P (1970) The Safety factors and the probability distributions of soil strength. Can Geotech J 7(3):225–242
Schultze E (1972) Frequency distributions and correlations of soil properties. In: Lumb P (ed) Proceedings of the 1st international conference on applications of statistics and probability in soil and structural engineering (ICASP), Hong-Kong, University Press, Hong-Kong, pp 372–387
Kirby JM (1991) Critical-state soil mechanics parameters and their variation for Vertisols in eastern Australia. J Soil Sci 42:487–499
Phoon K-K, Kulhawy FH (1999) Evaluation of geotechnical property variability. Can Geotech J 36:625–639
Griffiths DV, Fenton GA (2001) Bearing capacity of spatially random soil: the undrained clay Prandtl problem revisited. Géotechnique 51(4):351–359
Ching J, Chen J, Yeh J, Phoon K (2012) Updating uncertainties in friction angles of clean sands. J Geotech Geoenviron Eng 217–229
Zevgolis IE, Koukouzas NC, Roumpos C, Deliveris AV, Marshall AM (2018) Evaluation of geotechnical property variability: the case of spoil material from surface lignite mines. In: 5th international civil protection conference, Kozani, Greece
Pua L, Caicedo B (2021) Reproducing the inherent variability of soils using a three-dimensional printer. Int J Phys Model Geotech 0:1–19
Molina-Gómez F, Viana da Fonseca A, Ferreira C, Sousa F, Bulla-Cruz L (2021) Defining the soil stratigraphy from seismic piezocone data: a clustering approach. Eng Geol 287 (2021)
Hagiwara T, Grant RJ, Calvello M, Taylor RN (1999) The effect ofoverlying strata on the distribution of ground movements induced by tunneling in clay. Soils Found 39(3):63–73
Griffiths DV, Fenton GA, Tveten DE (2005) Probabilistic earth pressure analysis by the random finite element method. In: Barla G, Barla M (eds) Proc., 11th int. conf. on computer methods and advances in geomechanics (IACMAG 05), vol 4, Pátron Editore, Bologna, pp 235–249
Phoon K, Nadim F, Uzielli M, Lacasse S (2006) Soil variability analysis for geotechnical practice. In: Proceedings of the 2nd international workshop on characterization and engineering properties of natural soils, pp 1–103
Haldar S, Babu GS (2008) Effect of soil spatial variability on the response of laterally loaded pile in undrained clay. Comput Geotech 35(4):537–547
Zevgolis I, Bourdeau P (2010) Probabilistic analysis of retaining walls. Comput Geotech 37:359–373
Mendoza C, Caicedo B, Cunha R (2016) Determination of vertical bearing capacity of pile foundation systems in tropical soils with uncertain and highly variable properties. J Perform Constr Facil
Cai J-S, Yan E-C, Jim Yeh T-C, Zha Y-Y, Liang Y, Huang S-Y, Wang W-K, Wen J-C (2017) Effect of spatial variability of shear strength on reliability of infinite slopes using analytical approach. Comput Geotech 81:77–86
Llano-Serna MA, Farias MM, Pedroso DM, Williams DJ, Sheng D (2018) An assessment of statistically based relationships between critical state parameters. Géotechnique 68(6):556–560
Sainea-Vargas CJ, Torres-Suárez MC (2019) Damage probability assessment for adjoining buildings to deep excavations in soft soils. Int J Geotech Eng
Lacasse S, Nadim F (2007) Probabilistic geotechnical analyses for offshore facilities, Georisk. Assess Manage Risk Eng Syst Geohazards 1(1):21–42
Lua YJ, Sues RH (1996) Probabilistic finite-element analysis of airfield pavements. Transp Res Rec 1540:29–38
El-Kadi AI, Williams SA (2000) Generating two-dimensional fields of autocorrelated, normally distributed parameters by the matrix decomposition technique. Ground Water 38:530–532
Daniel C, Caro S (2014) Probabilistic modeling of air void variability of asphalt mixtures in flexible pavements. Constr Build Mater 61:138–146
Pieczyńska-Kozłowska JM, Puła W, Griffiths DV, Fenton GA (2015) Influence of embedment, self-weight and anisotropy on bearing capacity reliability using the random finite element method. Comput Geotech 67(June):229–238
Marcin C (2020) Soil sounding location optimisation for spatially variable soil. Géotech Lett 10(3):1–10
Helwany S (2007) Applied soil mechanics with ABAQUS applications, 1st edn. Wiley
Desai CS, Siriwardane HJ (1984) Constitutive laws for engineering materials with emphasis on geologic materials, 1 edn. Prentice-Hall, Inc., Englewood Cliffs, New Jersey, USA. ISBN 0-13-167940-6
Bolton MD, Britto AM, Powrie W, White TP (1989) Finite element analysis of a centrifuge model of a retaining wall embedded in a heavily overconsolidated clay. Comput Geotech 7(4):289–318
Hagiwara T, Grant RJ, Calvello M, Taylor RN (1999) The effect ofoverlying strata on the distribution of ground movements induced by tunneling in clay. Soils Found 39(3):63–73
Mendoza C, Ruge J, Caicedo B (2018) The geological history analysis of the friction angle in transported soils and their importance in the bearing capacity of shallow foundations. Rev int métodos numér cálc diseño ing 34 (1):11
Velloso DA, Lopes F (2010) Fundações profundas, vol 21 edn. Oficina de textos, Brasil
Sowers G, Sowers G (1970) Introductory soil mechanics and foundations, 3rd edn. Macmillan, New York
Mendoza C, Caicedo B (2018) Elastoplastic framework of relationships between CBR and Young’s modulus for granular material. Road Mater Pavement Des 19(8):1796–1815
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Mendoza, C.C., Hurtado, J.E., Paredes, J.A. (2022). Importance of the Geotechnical Variability in the Bearing Capacity of Shallow Foundations Through Random Fields. In: Wahab, M.A. (eds) Proceedings of the 4th International Conference on Numerical Modelling in Engineering . NME 2021. Lecture Notes in Civil Engineering, vol 217. Springer, Singapore. https://doi.org/10.1007/978-981-16-8185-1_5
Download citation
DOI: https://doi.org/10.1007/978-981-16-8185-1_5
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-16-8184-4
Online ISBN: 978-981-16-8185-1
eBook Packages: EngineeringEngineering (R0)