Effects of Joints Spacing on Static Bearing Capacity of Rock Foundations in the case of Punching Failure

Document Type : Research Article

Authors

1 Ph.D. Student, Department of Civil & Environmental Engineering, Amirkabir University of Technology

2 Professor, Department of Civil & Environmental Engineering, Amirkabir University of Technology

3 Associate Professor, Department of Mining & Metallurgical Engineering, Amirkabir University of Technology

Abstract

In this paper, using distinct element method, static bearing capacity of rock foundations containing one, two and three joint sets is investigated in the case of punching failure. The effect of joints spacing is incorporated to the analyses using a dimensionless factor, named spacing ratio (SR). Different values for SR are selected and variation of the bearing capacity versus SR is monitored. Then, the magnitude of SR in which the bearing capacity does not change significantly, is determined. The findings show that for SR<30, increasing the SR results in decreasing the bearing capacity, while for SR>30, the joints spacing do not affect the bearing capacity, significantly. Hence, SR=30 can be used as a criterion for analysis of rock foundations either as an equivalent continuum or a discontinuous medium. Using this criterion will tend to greatly reduce the time required for the bearing capacity analysis of rock foundations.

Keywords


[1] Alehossein, H., Carter, J. P. and Booker, J. R.“Finite element analysis of rigid footings on jointed rock”, 3rd International Conference on Computational Plasticity, Barcelona, Spain, pp. 935- 945, 1992.
[2] Bobet, A., Fakhimi, A., Johnson, S., Morris, J., Tonon, F. and Yeung M. R., “Numerical Models in Discontinuous Media: Review of Advances for Rock Mechanics Applications”, J. Geotech. and Geoenvir. Engrg., ASCE, 135(11), pp. 1547– 1561, 2009.
[3] Briaud, J. L. and Jeanjean, P. “Load Settlement Curve Method for Spread Footings on Sand”, Vertical and Horizontal Deformations of Foundations and Embankments, ASCE. Vol. 2, pp. 1774- 1804, 1994.
[4] Deere, D. and Miller, R. D., “Engineering Classification and Index Properties for intact Rock”, University of Illinois, Tech. Rep. AF WL-TR-116, 1966.
[5] Frank, R., Bauduin, C., Driscoll, R., Kavvadas, M., Ovesen, N. K., Orr, T. and Schuppener, B., “Designer’s Guide to EN 1997-1, Eurocode 7: Geotechnical Design- General Rules”, 1st ed. London, Thomas Telford Ltd, 2004.
[6] Imani, M., Fahimifar, A. and Sharifzadeh, M. “Upper Bound Solution for the Bearing Capacity of Submerged Jointed Rock Foundations”, Rock Mech. Rock Eng. 45, pp. 639- 646, 2012.
[7] Imani, M., Sharifzadeh, M., Fahimifar, A. and Haghparast, P., “A Characteristic Criterion to Distinguish Continuity of Rock Masses Applicable to Foundations”, 45th US Rock Mech/ Geomech. Symposium, San Francisco, USA, ARMA-11- 508, 2011.
[8] Itasca Consulting Group, Inc. UDEC: Universal distinct element code, Version 3.1., Minneapolis, MN, USA, 2000.
[9] Ki-Bok Min, “Fractured Rock Masses as equivalent continua- a numerical study”, Ph.D. dissertation, Dept. Land and Water Resource Engrg., KTH, Stockholm, Sweden, 2004.
[10] Maghous, S., Bernaud, D., Freard, J. and Garnier, D., “Elastoplastic behavior of jointed rock masses as homogenized media and finite element analysis”, Int. J. Rock Mech. Min Sci. 45, pp. 1273- 1286, 2008.
[11] Merifield, R. S., Lyamin, A. V. and Sloan, S. W. “Limit analysis solutions for the bearing capacity of rock masses using the generalised Hoek–Brown criterion”, Int. J. Rock. Mech. Mining. Sci, 43, pp. 920– 937, 2006.
[12] Prakoso, W. A. and Kulhawy, F. H., “Bearing Capacity of Strip Footings on Jointed Rock Masses”, J. Geotech. and Geoenvir. Engrg., ASCE, 130(12), pp. 1347– 1349, 2004.
[13] Rock Foundations, U.S. Army Corps of Engineers, Engineering and Design, EM 1110-1-2908, Nov. 1994.
[14] Saada, Z., Maghous, S. and Garnier, D. “Bearing capacity of shallow foundations on rocks obeying a modified Hoek–Brown failure criterion”, Comput. Geotech., 35(2), pp. 144- 154, 2008.
[15] Serrano, A. and Olalla, C. “Allowable Bearing Capacity of Rock Foundations Using a Non-linear Failure Criterium”, Int. J. Rock Mech. Min Sci. 33(4), pp. 327- 345, 1996.
[16] Serrano, A. and Olalla, C. “Ultimate bearing capacity of an anisotropic discontinuous rock mass, Part I: Basic modes of failure”, Int. J. Rock. Mech. Min. Sci, 35 (3), pp. 301- 324,
1998.
[17] Serrano, A. and Olalla, C. “Ultimate bearing capacity of an anisotropic discontinuous rock mass, Part II: Determination procedure”, Int. J. Rock. Mech. Min. Sci, 35(3), pp. 325- 348, 1998.
[18] Singh, M. and Rao, K. S. “Bearing Capacity of Shallow Foundations in Anisotropic Non- Hoek–Brown Rock Masses”, J. Geotech. and Geoenvir. Engrg., ASCE, 131(8), pp. 1014– 1023, 2005.
[19] Stille, H. and Palmstrom, A. “Ground behaviour and rock mass composition in underground excavations”, Tunnelling and Underground Space Technology. 23, pp. 46- 64, 2008.
[20] Sutcliffe, D. J., Yu, H. S. and Sloan, S. W. “Lower bound solutions for bearing capacity of jointed rock”, Comput. Geotech., 31, pp. 23– 36, 2004.
[21] Yang, X. L. and Yin, J. H. “Upper bound solution for ultimate bearing capacity with a modified Hoek-Brown failure criterion”, Int. J. Rock. Mech. Min. Sci, 42, pp. 550- 560, 2005.