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Limit equilibrium analysis for stability of soil nailed slope and optimum design of soil nailing parameters

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Abstract

Reinforcement of slopes using soil nailing can effectively improve slope stability, and it has been widely used in upgrading cut slopes. Based on the assumptions of stresses on the slip surface, a new method for analyzing the stability of a slope reinforced with soil nails was established in the limit equilibrium theory framework, by considering that slope sliding occurs owing to shear failure of the slip surface, which subjects to Mohr–Coulomb (M–C) strength criterion. Meanwhile, in order to easily analyze the stability of a soil nailed slope in actual engineering and facilitate optimum design of parameters for soil nailing, factor of safety (FOS) contour curve charts were drawn on the basis of the established linear proportional relationship between the spacing of soil nails and slope height, and the length of soil nails and slope height. Then, by analyzing and verifying the results obtained from classic examples, some conclusions can be got as follows: 1) The results obtained from the current method are close to those obtained from the traditional limit equilibrium methods, and the current method can provide a strict solution for the slope FOS as it satisfies all the static equilibrium conditions of a sliding body, thus confirming the feasibility of the current method; 2) The slope FOS contour curve charts can be used not only to reliably analyze the stability of a soil nailed slope, but also to design optimally the parameters of soil nailing for the slope with a certain safety requirement.

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References

  1. ZHOU Y D, CHEUK C Y, THAM L G. Numerical modeling of soil nails in loose fill slope under surcharge loading [J]. Computers and Geotechnics, 2009, 36(5): 837–850.

    Article  Google Scholar 

  2. LIU J, SHANG K, WU X. Stability analysis of soil nailing supporting structure based on system failure probability method [C]// International Conference on Sustainable Civil Infrastructure. Yichang, China, 2014: 20–22.

    Google Scholar 

  3. JEON S S. Pull-out tests and slope stability analyses of nailing systems comprising single and multi rebars with grouted cement [J]. Journal of Central South University, 2012, 19(1): 262–272.

    Article  Google Scholar 

  4. SEO H J, LEE I M, LEE S W. Optimization of soil nailing design considering three failure modes [J]. KSCE Journal of Civil Engineering, 2014, 18(2): 488–496.

    Article  Google Scholar 

  5. GARG A, GARG A, TAI K, SREEDEEP S. An integrated SRM-multi-gene genetic programming approach for prediction of factor of safety of 3-D soil nailed slopes [J]. Engineering Applications of Artificial Intelligence, 2014, 30(4): 30–40.

    Article  Google Scholar 

  6. CHEUK C Y, NG C W W, SUN H W. Numerical experiments of soil nails in loose fill slopes subjected to rainfall infiltration effects [J]. Computers and Geotechnics, 2005, 32(4): 290–303.

    Article  Google Scholar 

  7. KIM Y, LEE S, JEONG S, KIM J. The effect of pressure-grouted soil nails on the stability of weathered soil slopes [J]. Computers and Geotechnics, 2013, 49(4): 253–263.

    Article  Google Scholar 

  8. YANG X Q, LIU Z D, HE S X. On design of vertical slopes reinforced by soil-nails [J]. Engineering Mechanics, 1999, 16(5): 125–132. (in Chinese)

    Google Scholar 

  9. WEI W B, CHENG Y M. Soil nailed slope by strength reduction and limit equilibrium methods [J]. Computers and Geotechnics, 2010, 37(5): 602–618.

    Article  Google Scholar 

  10. ZHANG M J, SONG E X, CHEN Z Y. A stability analysis method and its application for soil nailing in excavation [J]. Engineering Mechanics, 1998, 15(3): 36–43. (in Chinese)

    Google Scholar 

  11. HUI C Y, ZHU Y P, YE S H. Stability analysis of composite soil-nailing wall with prestressed anchors [J]. Chinese Journal of Geotechnical Engineering, 2013, 35(s2): 325–329. (in Chinese)

    Google Scholar 

  12. DENG D P, LI L, LUO W. Stability analysis of slope protected by soil nailing under earthquake loads based on pseudo static method [J]. Rock and Soil Mechanics, 2012, 33(6): 1787–1794. (in Chinese)

    Google Scholar 

  13. DONG J H, ZHU Y P. Stability calculation method of a soil side-slope protected by soil nailing under earthquake [J]. Journal of Vibration and Shock, 2009, 28(3): 119–124. (in Chinese)

    Google Scholar 

  14. TAO L N, ZHOU X P, CAI H J. Improved general limit equilibrium method for slope stability analysis [J]. Journal of Civil Architectural and Environmental Engineering, 2014, 36(1): 106–113. (in Chinese)

    Google Scholar 

  15. HALABIAN A M, SHEIKHBAHAEI A M, HASHEMOLHOSSEINI S H. Three dimensional finite difference analysis of soil-nailed walls under static conditions [J]. Geomechanics and Geoengineering, 2012, 7(3): 1–14.

    Article  Google Scholar 

  16. WANG B. Study on Composite soil nailing wall in soft soil area of complex condition with emphasis on analysis by finite element analysis [J]. Applied Mechanics and Materials, 2012, 174–177: 2020–2023.

    Article  Google Scholar 

  17. ZAKI M F M, AHMAD W A A W, AYOB A, YING T K. Analysis of soil nailing under earthquake loading in Malaysia using finite element method [J]. Applied Mechanics and Materials, 2014, 695: 526–529.

    Article  Google Scholar 

  18. FELLENIUS W. Calculation of the stability of earth dams [C]// Proc 2nd Congr Large Dams. Washington, D.C, 1936: 445–462.

    Google Scholar 

  19. BISHOP A W. The use of the slip circle in the stability analysis of earth slopes [J]. Géotechnique, 1955, 5(1): 7–17.

    Article  Google Scholar 

  20. SPENCER E. A method of analysis of the stability of embankments assuming parallel inter-slice forces [J]. Géotechnique, 1967, 17(1): 11–26.

    Article  Google Scholar 

  21. MORGENSTERN N R, PRICE V E. The analysis of the stability of general slip surfaces [J]. Géotechnique, 1965, 15(1): 79–93.

    Article  Google Scholar 

Download references

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Correspondence to Dong-ping Deng  (邓东平).

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Foundation item: Project(2015M580702) supported by the Postdoctoral Science Foundation of China; Project(51608541) supported by the National Natural Science Foundation of China; Project(2014122066) supported by the Guizhou Provincial Department of Transportation Foundation, China

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Deng, Dp., Li, L. & Zhao, Lh. Limit equilibrium analysis for stability of soil nailed slope and optimum design of soil nailing parameters. J. Cent. South Univ. 24, 2496–2503 (2017). https://doi.org/10.1007/s11771-017-3662-y

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  • DOI: https://doi.org/10.1007/s11771-017-3662-y

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