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Three Dimensional Bearing Capacity of Shallow Foundations Adjacent to Slopes Using Discrete Element Method
Mona Arabshahi, Ali Asghar Mirghasemi, Ali Reza Majidi
Pages - 160 - 178     |    Revised - 30-4-2010     |    Published - 10-06-2010
Volume - 4   Issue - 2    |    Publication Date - May 2010  Table of Contents
Bearing Capacity, Shallow Foundations/Footings, Discrete Element Method, 3 Dimensional
In the current study, an effort is made to determine three dimensional bearing capacity of a shallow foundation adjacent to a slope using discrete element method. The soil mass under the footing is modeled as discrete blocks connected with a set of normal and shear springs called Winkler springs. In order to define the geometry of the failure surface of the soil, six independent angles are considered, which will be obtained by trial and error. So, the failure surface is not fixed and can be changed by different characters. The purpose of the paper is to determine the three dimensional bearing capacity coefficients of rectangular foundations which are placed adjacent to a slope. In order to get to such a scope a discrete element program called BCAP3D (Bearing capacity analysis program in 3D) is employed. The result is presented in relative graphs, versus the ratio (x/B), for each foundation aspect ratio (L/B). Besides, a comparison is made between the current method with other methods used in the same field.
CITED BY (4)  
1 Jahanandish, m., & azan, d. (2015). three-dimensional analysis of bearing capacity of square footings on convex slopes by finite element method. iranian journal of science and technology transactions of civil engineering, 39, 511-522.
2 Azan, IN., World-sighted, m., A hero, a., & Arslan. (2015). Effect of Soil Slopes Mas·hyy radius of curvature on the convex bearing capacity of foundations located in their plan. Civil Engineering, 31 (2.2), 47-55.
3 Es-Saheb, M., Al-Witry, A., & Albedah, A. (2013). Analyses of Plane-strain Compression Using the Upper Bound Method.
4 Orazalin, Z. Y. (2012). Three-dimensional finite element analysis of a complex excavation on the MIT campus (Doctoral dissertation, Massachusetts Institute of Technology).
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1 G. G. Meyerhof, “Some Recent Research on the Bearing Capacity of Foundations.” Canadian Geotech. J., 1( 1):16-26, 1963.
2 K. Terzaghi and R. B. Peck, “Soils Mechanics in Engineering Practice,” J.Wiley, New York. (1967)
3 J.B. Hansen, “A Revised and Extended Formula for Bearing Capacity.” Danish Geotech. Inst. Bulletin, No. 28, Denmark. 1970.
4 E.E. De Beer, “Experimental determination of shape factors and the bearing capacity factors of sands,” Géotechnique, 20( 4) :387-411, 1970.
5 A.S. Vesic, “Analysis of Ultimate Loads of Shallow Foundations.” J. of Soil Mech. and Fndn Div. ASCE, 99( SM1): 45-73, 1973.
6 R.T. Shield and D.C., Drucker, “The application of limit analysis to punch-indentation problems.” J. of Appl. Mech., ASCE: 453-460, 1953.
7 A. Nakase, “Bearing capacity of rectangular footings on clays of strength increasing linearly with depth.” Soils and Foundations, 21( 4): 101-108, 1981.
8 K. Narita and H.Yamaguchi, “Three-dimensional bearing capacity analysis of foundations by use of a method of slices.” Soils and Foundations, 32( 4): 143-155, 1992.
9 K. Ugai, “Bearing capacity of square and rectangular footings on nonhomogeneous clays.” J. of JSSMFE, 25( 4): 179-185, 1985.
10 R.L. Michalowski, “Upper-bound load estimates on square and rectangular footings.” Géotechnique, 51( 9): 787-798, 2001.
11 R.L. Michalowski, and E.M. Dawson, “Three-dimensional analysis of limit loads on Mohr-Coulomb soil.” Fndn of Civ. and Inv. Eng., No. 1: 137-147, 2002.
12 M. Zhu and R.L. Michalowski, “Shape Factors for Limit Loads on Square and Rectangular footings.” J. of Geotech. and Geoenv. Eng. ASCE, 131, No.( 2): 223-231, 2005.
13 R. Salgado, A.V Lyamin, S.W. Sloan, and H.S. Yu, “Two- and three-dimensional bearing capacity of foundations in clay.” Géotechniqu, 54( 5): 297-306, 2004.
14 F. Askari and O. Farzaneh, “Upper-bound solution for seismic bearing capacity of shallow foundations near slopes”. Géotechnique, 53(8): 697-70, 2003.
15 S. K. Sarma and Y. C. Chen, “ Bearing capacity of strip footings near sloping ground during earthquakes”. Proc. 11th world conf. on earthquake engineering, 1989.
16 P.A. Cundall and O.D.L. Strack, “A discrete numerical model for granular assemblies.” Géotechnique, 29(1): 47-56, 1979.
17 C.S. Chang, “Discrete element method for bearing capacity analysis.” Comput. and Geotech., 12: 273-288, 1991.
18 C.S. Chang, “Discrete element method for slope stability analysis.” J. of Geotech. Engng., 118(12): 1889-1905, 1992.
19 C.S. Chang, “Discrete element analysis for active and passive pressure distribution on retaining wall.” Compu. and Geotech., 16: 291-310, 1994.
20 A.R. Majidi, “Development of the Implicit Three Dimensional Discrete Element Method and Using in Three Dimensional Bearing Capacity Analysis of Shallow Foundations” PHD thesis, University of Tehran, May 2007.
21 A.R. Majidi and A.A. Mirghasemi, “Iranian Journal of Science and Technology Transaction B-Engineering,32 : 107-124, 2008.
22 “Aashto LRFD bridge design specifications”, American association of state highway and transportation officials.
23 A.H. Bozorg Haddad, “3-D study behavior of foundations placed on the slopes by model tests” Master of Science thesis, University of Tehran.
Miss Mona Arabshahi
University of Tehran - Iran
Associate Professor Ali Asghar Mirghasemi
- Tehran
Associate Professor Ali Reza Majidi