Approximation of undrained bearing capacity of strip foundations on heterogeneous marine clay

Document Type : Research

Authors

1 Associate Professor, Department of Civil Engineering, Faculty of Engineering, University of Guilan, Rasht, Iran.

2 Ph.D. Candidate, Department of Civil Engineering, Faculty of Engineering, University of Guilan, Rasht, Iran

3 Ph.D. Candidate, Department of Civil Engineering, Faculty of Engineering, University of Guilan, Rasht, Iran.

4 Ph.D. Candidate, Department of Civil Engineering, Faculty of Engineering, University of Guilan, Rasht, Iran..

Abstract

The problem of bearing capacity of foundation under rigorous circumstances has always been of a great importance in geotechnical engineering. Various simple and also more sophisticated methods have been developed to improve the bearing capacity calculations. In this paper, the performance of three different approximate methods including the limit equilibrium analysis, upper and lower bound of the limit analysis, and the characteristic method of the slip line solution is evaluated and compared in dealing with marine soil deposits with the heterogeneous soil strength profile under the plane strain condition. The undrained bearing capacity of strip footing rested on a stratum with a linear variation of undrained shear strength was estimated using various methods. It was found that for all methods adopted in the bearing capacity estimation, the undrained bearing capacity increases with the strength density. As a result, the failure mechanism becomes shallower and narrower as the undrained shear strength increases with depth. Comparing the results obtained by the applied methods, the maximum bearing capacity is rendered by the limit equilibrium (assuming Terzaghi failure mechanism), resulting as an unsafe solution. On the contrary, the minimum bearing capacity is yielded by the stress characteristic method, as the most conservative and applicable solution.

Keywords


1. Terzaghi, K., "Theoretical Soil Mechanics", John Wiley and Sons, New York, 1943. [DOI:10.1002/9780470172766]
2. Hansen, J.B., "A revised and extended formula for bearing capacity", Danish Geotechnical Institute, vol.28, 1970, p. 5-11.
3. Meyerhof, G., "The ultimate bearing capacity of foundations", Geotechnique. vol. 2,1951, p. 301-332. [DOI:10.1680/geot.1951.2.4.301]
4. Meyerhof, G., "Some recent research on the bearing capacity of foundations", Canadian Geotechnical Journal, vol.1, 1963, p. 16-26. [DOI:10.1139/t63-003]
5. Vesić, A.S., "Analysis of ultimate loads of shallow foundations", Journal of Soil Mechanics and Foundations Division, vol. 99, 1973, p. 45-73.
6. Chen, W.F., "Limit analysis and soil plasticity". Elsevier Scientific Publishing Company, Amsterdam, 1975.
7. Atkinson, J.H., "Foundations and Slopes an introduction to applications of critical state soil mechanics". John Wiley and Sons, New York, 1981.
8. Sloan, S., "Lower bound limit analysis using finite elements and linear programming", International Journal for Numerical and Analytical Methods in Geomechanics, vol. 12, 1988, p. 61-77. [DOI:10.1002/nag.1610120105]
9. Sloan, S., "Upper bound limit analysis using finite elements and linear programming", International Journal for Numerical and Analytical Methods in Geomechanics, vol. 13, 1989, p. 263-282. [DOI:10.1002/nag.1610130304]
10. Michalowski, R., "An estimate of the influence of soil weight on bearing capacity using limit analysis", Soils and Foundations, vol. 37, 1997, p. 57-64. [DOI:10.3208/sandf.37.4_57]
11. Soubra, A.H., "Upper-bound solutions for bearing capacity of foundations", Journal of Geotechnical and Geoenvironmental Engineering, vol. 125, 1999, p. 59-68. [DOI:10.1061/(ASCE)1090-0241(1999)125:1(59)]
12. Lyamin, A.V., Sloan, S., "Lower bound limit analysis using non‐linear programming", International Journal for Numerical Methods in Engineering, vol.55, 2002, p.573-611. [DOI:10.1002/nme.511]
13. Lyamin, AV, Sloan, S., "Upper bound limit analysis using linear finite elements and non‐linear programming", International Journal for Numerical and Analytical Methods in Geomechanics, vol. 26, 2002, p. 181-216. [DOI:10.1002/nag.198]
14. Ukritchon, B., Whittle, A.J., Klangvijit, C., "Calculations of bearing capacity factor Nγ using numerical limit analyses", Journal of Geotechnical and Geoenvironmental Engineering, vol. 129, 2003, p. 468-474. [DOI:10.1061/(ASCE)1090-0241(2003)129:6(468)]
15. Salgado, R., Lyamin, A.V., Sloan, S., Yu, H., "Two-and three-dimensional bearing capacity of foundations in clay", Geotechnique, vol. 54, 2004, p. 297-306. [DOI:10.1680/geot.2004.54.5.297]
16. Kumar, J., Kouzer, K., "Effect of footing roughness on bearing capacity factor Nγ", Journal of Geotechnical and Geoenvironmental Engineering, vol. 133, 2007, p. 502-511. [DOI:10.1061/(ASCE)1090-0241(2007)133:5(502)]
17. Kasama, K., Whittle, A.J., "Bearing capacity of spatially random cohesive soil using numerical limit analyses", Journal of Geotechnical and Geoenvironmental Engineering, vol. 137, 2011, p. 989-996. [DOI:10.1061/(ASCE)GT.1943-5606.0000531]
18. Kumar. J., Khatri, V.N., "Bearing capacity factors of circular foundations for a general c-ϕ soil using lower bound finite elements limit analysis", International Journal for Numerical and Analytical Methods in Geomechanics, vol. 35, 2011, p. 393-405. [DOI:10.1002/nag.900]
19. Ukritchon, B., Yoang, S., Keawsawasvong, S., "Bearing capacity of shallow foundations in clay with linear increase in strength and adhesion factor", Marine Georesources and Geotechnology, vol. 36, 2018, p. 438-451. [DOI:10.1080/1064119X.2017.1326991]
20. Sokolovskiĭ, V.V., "Statics of soil media", Butterworths Scientific Publications, 1960.
21. Harr, M., "Foundations of theoretical soil mechanics", McGraw-Hill, New York, 1966.
22. Bolton, M.D., Lau, C., "Vertical bearing capacity factors for circular and strip footings on Mohr-Coulomb soil" Canadian Geotechnical Journal, vol. 30, 1993, p. 1024-1033. [DOI:10.1139/t93-099]
23. Zhu, D., Lee, C, Jiang, H., "A numerical study of the bearing capacity factor Nγ". Canadian Geotechnical Journal, vol. 38, 2001, p. 1090-1096. [DOI:10.1139/t01-023]
24. Kumar, J., "Nγ for rough strip footing using the method of characteristics", Canadian Geotechnical Journal, vol. 40, 2003, p. 669-674. [DOI:10.1139/t03-009]
25. Martin, C., "New software for rigorous bearing capacity calculations", British Geotech. Assoc. Int. Conf. on Foundations, Dundee, 2003.
26. Martin, C., "Exact bearing capacity calculations using the method of characteristics", Proc. IACMAG. Turin, 2005, p. 441-450.
27. Kumar, J., Ghosh, P., "Bearing capacity factor Nγ for ring footings using the method of characteristics", Canadian Geotechnical Journal, vol. 42, 2005, p. 1474-1484. [DOI:10.1139/t05-051]
28. Gui, M.W., Muhunthan, B., "Bearing capacity of foundations on sand using the method of slip line", Journal of Marine Science and Technology, vol. 14, 2006, p. 1-14.
29. Kumar, J., "The variation of Nγ with footing roughness using the method of characteristics", International Journal for Numerical and Analytical Methods in Geomechanics, vol. 33, 2009, p. 275-284. [DOI:10.1002/nag.716]
30. Veiskarami, M., Jahanandish, M., Habibagahi, G., "Numerical bearing capacity prediction of unsaturated soils by the method of stress characteristics" Proceeding of the 8th International Congress on Civil Engineering, 2009.
31. Skempton, A.W., "A Study of the Geotechnical Properties of Some Post-Glacial Clays", Geotechnique, vol. 1, 1948, p. 1-16. [DOI:10.1680/geot.1948.1.1.1]
32. Gibson, R., Morgenstern, N., "A note on the stability of cuttings in normally consolidated clays", Geotechnique, vol. 12, 1962, p. 212-216. [DOI:10.1680/geot.1962.12.3.212]
33. Raymond, G.P., "The bearing capacity of large footings and embankments on clays", Geotechnique, vol. 17, 1967, p. 1-10. [DOI:10.1680/geot.1967.17.1.1]
34. Kusakabe, O., Suzuki, H., Nakase, A., "An upper bound calculation on bearing capacity of a circular footing on a non-homogeneous clay", Soils and Foundations, vol. 26, 1986, p. 143-148. [DOI:10.3208/sandf1972.26.3_143]
35. Tani, K., Craig, W., "Bearing capacity of circular foundations on soft clay of strength increasing with depth", Soils and Foundations, vol. 35, 1995, p. 21-35. [DOI:10.3208/sandf.35.4_21]
36. Al-Shamrani, M.A., "Upper-bound solutions for bearing capacity of strip footings over anisotropic nonhomogeneous clays", Soils and Foundations, vol. 45, 2005, p. 109-124.
37. Jamshidi Chenari, R., Zhalehjoo, N., Karimian, A., "Estimation on bearing capacity of shallow foundations in heterogeneous deposits using analytical and numerical methods", Scientia Iranica, vol. 21, 2014, p. 505-515.
38. Izadi, A., Nazemi Sabet Soumehsaraei, M., Jamshidi Chenari, R., and Ghorbani, A., (2019) "Pseudo-static bearing capacity of shallow foundations on heterogeneous marine deposits using limit equilibrium method", Marine Georesources and Geotechnology, vol. 37, 2019, p. 1163-1174. [DOI:10.1080/1064119X.2018.1539535]
39. Davis, E., Booker, J., (1973) "The effect of increasing strength with depth on the bearing capacity of clays", Geotechnique, vol. 23, 1973, p. 551-563. [DOI:10.1680/geot.1973.23.4.551]
40. Jamshidi Chenari, R., Izadi, A., Nazemi Somesaraie, M., "Discussion of "Seismic Bearing Capacity of Shallow Strip Footing with Coulomb Failure Mechanism using Limit Equilibrium Method" by S. Ghosh, L. Debnath. December 2017, Volume 35, Issue 6, pp. 2647-2661", Geotechnical and Geological Engineering, vol. 36, 2018, p. 4037-4040. DOI: 10.1007/s10706-018-0497-8 [DOI:10.1007/s10706-018-0497-8]
41. Jamshidi Chenari, R., Kamyab, H., Izadi, A., "Continuous Slip Surface Method for Stability Analysis of Heterogeneous Vertical Trenches" Scientia Iranica, 2019. DOI: 10.24200/SCI.2019.21227. [DOI:10.24200/sci.2019.21227]
42. Prandtl, L., "Über die härte plastischer körper. Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen", Mathematisch-Physikalische Klasse, 1920, p. 74-85.
43. Peck, R.B., Hanen, W.E., Thornburn, T.H., "Foundation Engineering", New York, 1953. [DOI:10.1097/00010694-195304000-00012]
44. Reddy, A.S., Srinivasan, R., "Bearing capacity of footings on clays", Soils and foundations, vol. 11, 1971, p. 51-64. [DOI:10.3208/sandf1960.11.3_51]
45. Livneh, M., Greenstein, J., "The bearing capacity of footings on nonhomogeneous clays" Bruner Institute of Transportation, Technion Research and Development, 1972.
46. Reddy, A.S., Rao, K.V. (1981) "Bearing capacity of strip footing on anisotropic and nonhomogeneous clays" Soils and Foundations, vol. 21, 1981, p. 1-6. [DOI:10.3208/sandf1972.21.1]
47. Bransby, F.M., "Failure envelopes and plastic potentials for eccentrically loaded surface footings on undrained soil", International Journal for Numerical and Analytical Methods in Geomechanics, vol. 25, 2001, p. 329-346. [DOI:10.1002/nag.132]