Vertical Stress Isobars for Trenches and Mine Stopes Containing Granular Backfills
Publication: International Journal of Geomechanics
Volume 14, Issue 2
Abstract
The vertical stresses within granular fills contained in trenches can be determined using Marston’s theory or numerical modeling. Marston’s theory gives only the average value of the vertical stress at a depth. Numerical modeling can be used for determining the vertical stress at any point within the fill. This paper presents vertical stress isobars for trenches filled with granular materials, developed from numerical modeling, and proposed in terms of dimensionless variables. These isobars are similar to the pressure isobars for uniformly loaded circular and strip footings found in literature. These isobars can be used for determining vertical stresses at any point within the granular material contained in trenches and can become a simple and valuable tool. The validity of the isobars was verified through several trenches with randomly selected dimensions and fill properties. It was found that the estimates using the isobars were within 9% of the estimates from the numerical model.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The authors thank Dr. Vincent Wang for his ongoing support with numerical modeling aspects and his valuable discussions during the preparation of this manuscript.
References
Aubertin, M., Li, L., Arnoldi, S., and Simon, R. (2003). “Interaction between backfill and rock mass in narrow stopes.” Proc., 12th Pan American Conf. on Soil Mechanics and Geotechnical Engineering, and 39th U.S. Rock Mechanics Symp., Massachusetts Institute of Technology (MIT), Cambridge, MA, 1157–1164.
Goel, S., and Patra, N. (2008). “Effect of arching on active earth pressure for rigid retaining walls considering translation mode.” Int. J. Geomech., 123–133.
Handy, R. L. (1985). “The arch in soil arching.” J. Geotech. Engrg., 302–318.
Jaky, J. (1944). “The coefficient of earth pressure at rest.” J. Soc. Hung. Eng. Arch., 7(2), 355–358 (in Hungarian).
Marston, A. (1930). “The theory of external loads on closed conduits in the light of the latest experiments.” Bulletin 96 of the Iowa Engineering Experiment Station, Ames, Iowa, Iowa Engineering Experiment Station, Ames, IA, 138–170.
Paik, K., and Salgado, R. (2003). “Estimation of active earth pressure against rigid retaining walls considering arching effects.” Geotechnique, 53(7), 643–654.
Pirapakaran, K., and Sivakugan, N. (2007). “Arching within hydraulic fill stopes.” Geotech. Geol. Eng., 25(1), 25–35.
Shukla, S. K., and Sivakugan, N. (2013). “Load coefficient for ditch conduits covered with geosynthetic-reinforced granular material.” Int. J. Geomech., 76–82.
Singh, S., Shukla, S. K., and Sivakugan, N. (2011). “Arching in inclined and vertical mine stopes.” Geotech. Geol. Eng., 29(5), 685–693.
Singh, S., Sivakugan, N., and Shukla, S. K. (2010). “Can soil arching be insensitive to ?” Int. J. Geomech., 124–128.
Sivakugan, N., and Das, B. M. (2010). Geotechnical engineering: A practical problem solving approach, J. Ross Publishing, Fort Lauderdale, FL.
Sivakugan, N., Rankine, K. J., and Rankine, R. M. (2006). “Permeability of hydraulic fills and barricade bricks.” Geotech. Geol. Eng., 24(3), 661–673.
Spangler, M. G. (1962). “Culverts and conduits.” Chapter 11, Foundation Engineering, G. A. Leonards, ed., McGraw Hill, New York, 965–999.
Take, W. A., and Valsangkar, A. J. (2001). “Earth pressures on unyielding retaining walls of narrow backfill width.” Can. Geotech. J., 38(6), 1220–1230.
Terzaghi, K. (1943). Theoretical soil mechanics, Wiley, New York.
Ting, C. H., Shukla, S. K., and Sivakugan, N. (2011). “Arching in soils applied to inclined mine stopes.” Int. J. Geomech., 29–35.
Ting, C. H., Sivakugan, N., Read, W., and Shukla, S. K. (2012). “Analytical method to determine vertical stresses within a granular material contained in right vertical prisms.” Int. J. Geomech., 74–79.
Information & Authors
Information
Published In
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Mar 15, 2012
Accepted: May 21, 2013
Published online: Jun 13, 2013
Published in print: Apr 1, 2014
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.