Abstract
Arching is an important phenomenon that has to be understood when designing backfilled trenches, storage silos and underground mine stopes supporting granular materials. Here, a significant fraction of the fill load is carried by the wall friction and hence the load transferred to the bottom of the fill is substantially reduced. The objective of this paper is to present three different approaches, namely, analytical, experimental and numerical, to study the vertical normal stresses within a granular material contained between vertical walls. The laboratory model discussed herein is an effective tool in deriving the variation of shear stress on the wall and the average normal stresses with depth. It is shown that the analytical and numerical models that treat the granular material as a continuum suggest an asymptotic vertical normal stress that is reached at certain depths, whereas the laboratory model tests show that the vertical stresses increase continuously even at very large depths.
Similar content being viewed by others
References
Berndt C, Rankine KJ, Sivakugan N (2007) Materials properties of barricade bricks for mining applications. Geotech Geol Eng 25(4):449–471
Bosscher PJ, Gray DH (1985) Soil arching in sandy slopes. J Geotech Eng ASCE 112(6):626–635
Caceras CA (2005). Effect of delayed backfill on open stope mining methods, MASc Thesis, University of British Columbia, Vancouver, Canada
Dalvi RS, Pise PJ (2008). Effect of arching on passive earth pressure coefficient. In: Proceedings of 12th IACMAG conference, Goa, India, pp 236–243
Handy RL (1985) The arch in soil arching. J Geotech Eng ASCE 111(3):302–318
Handy RL (2004) Anatomy of an error. J Geotech Geoenviron Eng ASCE 130(7):768–771
Itasca (2009). FLAC3D Version 4.0. Itasca Consulting Group Inc., Minneapolis
Jaky J (1944) The coefficient of earth pressure at rest. J. Soc. Hung Archit Eng 7:355–358
Krynine DP (1945) Discussion of “stability and stiffness of cellular cofferdams” by K. Terzaghi. ASCE Trans 110:1175–1178
Li L, Aubertin M, Simon R, Bussiere B, Belem T (2003). Modelling arching effects in narrow backfilled stopes with FLAC. In: Proceedings of 3rd International FLAC Symposium, Rotterdam, pp 211–218
Marston A (1930). The theory of external loads on closed conduits in the light of latest experiments, bulletin no. 96. Iowa Engineering Experiment Station, Ames, Iowa
Pirapakaran K, Sivakugan N (2007) Arching within hydraulic fill stopes. Geotech Geol Eng J 25(1):25–35
Pirapakaran K, Sivakugan N (2007) A laboratory model to study arching within a hydraulic fill stope. Geotech Test J ASTM 30(6):496–503
Rankine WJM (1857) On the stability of loose earth. Philos Trans R Soc Lond 147:9–27
Shelke A, Patra NR (2008) Effect of arching on uplift capacity of pile groups in sand. Int J Geomech ASCE 8(6):347–354
Sivakugan N, Rankine RM, Rankine KJ, Rankine KS (2006) Geotechnical considerations in mine backfilling in Australia. J Clean Prod 14(12–13):1168–1175
Sivakugan N, Rankine K, Rankine R (2006) Permeabilities of hydraulic fills and barricade bricks. Geotech Geol Eng 24(3):661–673
Take WA, Valsangkar AJ (2001) Earth pressure on unyielding retaining walls of narrow backfill width. Can Geotech J 38(6):1220–1230
Terzaghi K (1943). Theoretical soil mechanics. Wiley, New York
Walters JK (1973) A theoretical analysis of stresses in silos with vertical walls. Chem Eng Sci 28:13–21
Acknowledgments
We gratefully acknowledge the valuable contributions made by our technical officers and the postgraduates who have helped us to understand the minefills and the arching phenomenon better. Mr. Warren O’Donnell’s ingenuity and his technical skills in the design and fabrication of the laboratory model stope were vital to this work.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sivakugan, N., Widisinghe, S. Stresses Within Granular Materials Contained Between Vertical Walls. Indian Geotech J 43, 30–38 (2013). https://doi.org/10.1007/s40098-012-0029-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40098-012-0029-z