Technical Notes
May 26, 2017

Limit-Equilibrium Analysis on Stability of a Reinforced Slope with a Grid Beam Anchored by Cables

Publication: International Journal of Geomechanics
Volume 17, Issue 9

Abstract

In the stability analyses of a reinforced slope with a grid beam anchored by cables, the anchoring force of the cable is usually simplified as the concentrated force acting on the slip surface to calculate the reinforcement effect. The anchoring force actually acts on the slope surface as stress because of the effect of the grid beam. Therefore, this work proposes two new calculation modes of anchoring force: stresses with rectangular and curved distribution acting on the slope surface. In addition, the analysis considered the presence of a cavity, which results in a void underneath the grid beam near the slope surface. Then, two types of slip surfaces and the Morgenstern-Price method were adopted to study slope stability. Thus, the following conclusions were obtained: (1) three calculation modes have nearly similar solutions with less than 5% difference; (2) the arbitrary curved slip surface is suggested to be used as the critical slip surface that shows a noncircular shape; and (3) the void causes anchorage cable failure, which reduces slope stability significantly.

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Acknowledgments

This project was funded by the China Postdoctoral Science Foundation (Grant 2015M580702), the National Natural Science Foundation of China (Grant 51608541), and the Guizhou Provincial Department of Transportation, China (Grant 2014122006).

References

Ahmed, A., Ugai, K., and Yang, Q. Q. (2012). “Assessment of 3D slope stability analysis methods based on 3d simplified Janbu and Hovland methods.” Int. J. Geomech., 81–89.
Ashour, M., and Ardalan, H. (2012). “Analysis of pile stabilized slopes based on soil–pile interaction.” Comput. Geotech., 39(Jan), 85–97.
Awad, A. A., and Mosleh, A. A. (2000). “Study of the effect of soil anisotropy on slope stability using method of slices.” Comput. Geotech., 26(2), 83–103.
Cai, F., and Ugai, K. (2003). “Reinforcing mechanism of anchors in slopes: A numerical comparison of results of LEM and FEM.” Int. J. Numer. Anal. Methods Geomech., 27(7), 549–564.
Deng, D. P., Li, L., and Zhao, L. H. (2011). “A new method of sliding surface searching for general stability of slope based on Janbu method.” Rock Soil Mech., 32(3), 891–898 (in Chinese).
Ghiassian, H., Gray, D. H., and Hryciw, R. D. (1997). “Stabilization of coastal slopes by anchored geosynthetic systems.” J. Geotech. Geoenviron. Eng., 736–743.
Hryciw, R. D. (1991). “Anchor design for slope stabilization by surface loading.” J. Geotech. Eng., 1260–1274.
Jeon, S. S. (2012). “Pull-out tests and slope stability analyses of nailing systems comprising single and multi rebars with grouted cement.” J. Cent. South Univ., 19(1), 262–272.
Jiang, J. C., and Yamagami, T. (2006). “Charts for estimating strength parameters from slips in homogeneous slopes.” Comput. Geotech., 33(6), 294–304.
Juran, I., Baudrand, G., Farrag, K., and Elias, V. (1990). “Kinematical limit analysis for design of soil-nailed structures.” J. Geotech. Eng., 54–72.
Leal-Gomes, M. J. A., and Dinis-da-Gama, C. A. J. V. (2014). “Limit equilibrium model for rock joints based on strain energies.” Int. J. Geomech., 06014007.
Lee, C. Y., Hull, T. S., and Poulos, H. G. (1995). “Simplified pile-slope stability analysis.” Comput. Geotech., 17(1), 1–16.
Lee, D. H., Yang, Y. E., and Lin, H. M. (2007). “Assessing slope protection methods for weak rock slopes in southwestern Taiwan.” Eng. Geol., 91(2), 100–116.
Li, X. P., He, S. M., and Wu, Y. (2012). “Limit analysis of the stability of slopes reinforced with anchors.” Int. J. Numer. Anal. Methods Geomech., 36(17), 1898–1908.
Li, X. P., He, S. M., Xu, J., and Wang, C. H. (2006). “Stability analysis of slopes reinforced with pre-tensioned cables by limit analysis method.” J. Sichuan Univ., 38(5), 82–85 (in Chinese).
Lin, H., Wei, X., and Cao, P. (2013). “Stability of soil nailed slope using strength reduction method.” Eur. J. Environ. Civ. Eng., 17(9), 872–885.
Liu, C. H., Chen, C. X., and Feng, X. T. (2006). “Discussion on design method of prestressed cable for soil slope.” Rock Soil Mech., 27(8), 1349–1352 (in Chinese).
Morgenstern, N. R., and Price, V. E. (1965). “The analysis of the stability of general slip surfaces.” Géotechnique, 15(1), 79–93.
Muñoz, J. J., Lyamin, A. V., and Huerta, A. (2013). “Stability of anchored sheet wall in cohesive-frictional soils by FE limit analysis.” Int. J. Numer. Anal. Methods Geomech., 37(9), 1213–1230.
Nichol, D., and Graham, J. R. (2001). “Remediation and monitoring of a highway across an active landslide at Trevor, North Wales.” Eng. Geol., 59(3), 337–348.
Nouri, H., Fakher, A., and Jones, C. J. F. P. (2006). “Development of horizontal slice method for seismic stability analysis of reinforced slopes and walls.” Geotext. Geomembr., 24(3), 175–187.
Nouri, H., Fakher, A., and Jones, C. J. F. P. (2008). “Evaluating the effects of the magnitude and amplification of pseudo-static acceleration on reinforced soil slopes and walls using the limit equilibrium horizontal slices method.” Geotext. Geomembr., 26(3), 263–278.
Rajabian, A., Viswanadham, B. V. S., Ghiassian, H., and Salehzadeh, H. (2012). “Centrifuge model studies on anchored geosynthetic slopes for coastal shore protection.” Geotext. Geomembr., 34(Oct), 144–157.
Sagaseta, C., Sánchez, J. M., and Cañizal, J. (2001). “A general analytical solution for the required anchor force in rock slopes with toppling failure.” Int. J. Rock Mech. Min. Sci., 38(3), 421–435.
Shukla, S. K., and Hossain, M. M. (2011). “Stability analysis of multi-directional anchored rock slope subjected to surcharge and seismic loads.” Soil Dyn. Earthquake Eng., 31(5), 841–844.
Siad, L. (2001). “Stability analysis of jointed rock slopes reinforced by passive, fully grouted bolts.” Comput. Geotech., 28(5), 325–347.
Sonmez, H., Ulusay, R., and Gokceoglu, C. (1998). “A practical procedure for the back analysis of slope failures in closely jointed rock masses.” Int. J. Rock Mech. Min. Sci., 35(2), 219–233.
Sun, H. Y., Wong, L. N. Y., Shang, Y. Q., Lu, Q., and Zhan, W. (2010). “Systematic monitoring of the performance of anchor systems in fractured rock masses.” Int. J. Rock Mech. Min. Sci., 47(6), 1038–1045.
Wang, J. P., Yang, Z. J., and Huang, D. R. (2013a). “New pole-searching algorithm with applications to probabilistic circular slope stability assessment.” Comput. Geotech., 51(2), 83–89.
Wang, L., Jin, H. H., Luo, Z., Juang, C. H., and Xiao, J. H. (2013b). “Probabilistic back analysis of slope failure—A case study in Taiwan.” Comput. Geotech., 51(6), 12–23.
Wei, W. B., and Cheng, Y. M. (2009). “Strength reduction analysis for slope reinforced with one row of piles.” Comput. Geotech., 36(7), 1176–1185.
Xiao, S. G., and Zhou, D. P. (2003). “Internal force calculating method of prestressed-cable beam on foundation for high rock slope.” Chin. J. Rock Mech. Eng., 22(2), 250–253 (in Chinese).
Yuan, J. X., Yang, Y. W., Tham, L. G., Lee, P. K. K., and Tsui, Y. (2003). “New approach to limit equilibrium and reliability analysis of soil nailed walls.” Int. J. Geomech., 145–151.
Zhang, H., Lu, Y., and Cheng, Q. (2008). “Numerical simulation of reinforcement for rock slope with rock bolt (anchor cable) frame beam.” J. Highway Transp. Res. Dev., 3(2), 65–71.
Zhang, R.-J., Zheng, J. J., Li, P. Y., Zhang, J., and Yu, S. (2012). “A method for predicting mechanical behaviour of HPJG-Anchors—Part II: Prediction procedure, verifications and parametric studies.” Comput. Geotech., 45(Sep), 44–52.
Zhao, L. H., Li, L., Yang, F., and Liu, X. (2011). “Joined influences of nonlinearity and dilation on the ultimate pullout capacity of horizontal shallow plate anchors by energy dissipation method.” Int. J. Geomech., 195–201.
Zhao, L. H., Luo, Q., Li, L., and Yang, F. (2013). “Energy analysis method for slopes reinforcing with prestressed anchor cables based on minimum energy principle of instability state.” Rock Soil Mech., 34(2), 426–432 (in Chinese).

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 17Issue 9September 2017

History

Received: Jan 27, 2016
Accepted: Mar 15, 2017
Published online: May 26, 2017
Published in print: Sep 1, 2017
Discussion open until: Oct 26, 2017

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Authors

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Deng Dong-ping [email protected]
Postdoctorate Candidate School of Civil Engineering, Central South Univ., Changsha 410075, China (corresponding author). E-mail: [email protected]
Zhao Lian-heng [email protected]
Associate Professor, School of Civil Engineering, Central South Univ., Changsha 410075, China. E-mail: [email protected]
Professor, School of Civil Engineering, Central South Univ., Changsha 410075, China. E-mail: [email protected]

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