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Earth pressure on a vertical shaft considering the arching effect in c-𝜙 soil

  • Lee, In-Mo (School of Civil, Environmental, and Architectural Engineering, Korea University) ;
  • Kim, Do-Hoon (Hyundai Eng. and Construction Co., Ltd.) ;
  • Kim, Kyoung-Yul (Korea Electric Power Research Institute) ;
  • Lee, Seok-Won (Department of Civil and Environmental System Engineering, Konkuk University)
  • Received : 2015.12.31
  • Accepted : 2016.12.05
  • Published : 2016.12.12

Abstract

A new earth pressure equation considering the arching effect in $c-{\phi}$ soils was proposed for the accurate calculation of earth pressure on circular vertical shafts. The arching effect and the subsequent load recovery phenomenon occurring due to multi-step excavation were quantitatively investigated through laboratory tests. The new earth pressure equation was verified by comparing the test results with the earth pressures predicted by new equation in various soil conditions. Resulting from testing by using multi-step excavation, the arching effect and load recovery were clearly observed. The test results in $c-{\phi}$ soil showed that even a small amount of cohesion can cause the earth pressure to decrease significantly. Therefore, predicting earth pressure without considering such cohesion can lead to overestimation of earth pressure. The test results in various ground conditions demonstrated that the newly proposed equation, which enables consideration of cohesion as appropriate, is the most reliable equation for predicting earth pressure in both ${\phi}$ soil and $c-{\phi}$ soil. The comparison of the theoretical equations with the field data measured on a real construction site also highlighted the best-fitness of the theoretical equation in predicting earth pressure.

Keywords

Acknowledgement

Grant : Development of Key Subsea Tunnelling Technology

Supported by : Ministry of Land, Infrastructure, and Transport

References

  1. Berezantzev, V.G. (1958), "Earth pressure on the cylindrical retaining walls", Proceedings of International Society of Soil Mechanics and Foundation Engineering (ISSMFE) Conference on Earth Pressure Problems, Butterworths, London, UK, September, pp. 21-27.
  2. Cheng, Y.M., Hu, Y.Y. and Wei, W.B. (2007), "General axisymmetric active earth pressure by method of characteristics - theory and numerical formulation", Int. J. Geomech., 7(1), 1-15. https://doi.org/10.1061/(ASCE)1532-3641(2007)7:1(1)
  3. Fujii, T., Hagiwara, T., Ueno, K. and Taguchi, A. (1994), "Experiment and analysis of earth pressure on an axisymmetric shaft in sand", Proceedings of the 1994 International Conference on Centrifuge, Singapore, August, pp. 791-796.
  4. Herten, M. and Pulsfort, M. (1999), "Determination of spatial earth pressure on circular shaft constructions", Granular Matter, 2(1), 1-7. https://doi.org/10.1007/s100350050028
  5. Imamura, S., Nomoto, T., Fujii, T. and Hagiwara, T. (1999), "Earth pressures acting on a deep shaft and the movements of adjacent ground in sand", Proceedings of the International Symposium on Geotechnical Aspects of Underground Construction in Soft Ground, Tokyo, Japan, July, pp. 647-652.
  6. Iskander, M., Chen, Z., Omidvar, M., Guzman, I. and Elsherif, O. (2013), "Active static and seismic earth pressure for c-$\phi$ soils", Soils Found., 53(5), 639-652. https://doi.org/10.1016/j.sandf.2013.08.003
  7. Ismeik, M. and Shaqour, F. (2015), "Seismic lateral earth pressure analysis of retaining walls", Geomech. Eng., Int. J., 8(4), 523-540. https://doi.org/10.12989/gae.2015.8.4.523
  8. Kim, D.H. (2011), "Characteristics of lateral earth pressure acting on a circular vertical shaft", Ph.D. Dissertation; Korea University, Seoul, Korea.
  9. Kim, D.H., Lee, D.S., Kim, K.R., Lee, Y.H. and Lee, I.M. (2009), "Earth pressures acting on vertical circular shafts considering arching effects in c-$\phi$ soils: I. Theory", Tunn. Technol., 11(2), 117-129.
  10. Lee, I.M., Moon, H.P., Lee, D.S., Kim, K.R. and Choi, M.S. (2007), "Earth pressure of vertical shaft considering arching effect in layered soils", Tunn. Technol., 9(1), 49-62.
  11. Lee, I.M., Jung, J.H., Kim, K.R. and Kim, D.H. (2010), "Effect of apparent cohesion in unsaturated soils on the ground behavior during underground excavation", Tunn. Technol., 12(2), 117-127.
  12. Liu, F.Q. and Wang, J.H. (2008), "A generalized slip line solution to the active earth pressure on circular retaining walls", Comput. Geotech., 35(2), 155-164. https://doi.org/10.1016/j.compgeo.2007.06.002
  13. Liu, F.Q., Wang, J.H. and Zhang, L.L. (2009), "Axi-symmetric active earth pressure obtained by the slip line method with a general tangential stress coefficient", Comput. Geotech., 36(1-2), 352-358 https://doi.org/10.1016/j.compgeo.2008.02.002
  14. Moradi, G. and Abbasnejad, A. (2015), "Experimental and numerical investigation of arching effect in sand using modified Mohr Coulomb", Geomech. Eng., Int. J., 8(6), 829-844. https://doi.org/10.12989/gae.2015.8.6.829
  15. Nian, T.K., Liu, B., Han, J. and Huang, R.Q. (2014), "Effect of seismic acceleration directions on dynamic earth pressures in retaining structures", Geomech. Eng., Int. J0, 7(3), 263-277. https://doi.org/10.12989/gae.2014.7.3.263
  16. Prater, E.G. (1977), "An examination of some theories of earth pressure on shaft linings", Can. Geotech. J., 14(1), 91-106. https://doi.org/10.1139/t77-007
  17. Rankine, W.J.M. (1857), "On the stability of Loose Earth", Phil. Trans. Royal Society, 147(1), 9-27. https://doi.org/10.1098/rstl.1857.0003
  18. Shin, Y.W. (2004), "Earth pressure acting on the cylindrical retaining wall of a shaft in cohesionless soils", Ph.D. Dissertation; Hanyang University, Seoul, Korea.
  19. Shukla, S.K., Gupta, S.K. and Sivakugan, N. (2009), "Active earth pressure on retaining wall for c-$\varphi$ soil backfill under seismic loading condition", J. Geotech. Geoenviron. Eng., 135(5), 690-696. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000003
  20. Terzaghi, K. (1943), Theoretical Soil Mechanics, John Wiley and Sons, Hoboken, NJ, USA.
  21. Tobar, T. and Meguid, M.A. (2010), "Comparative evaluation of methods to determine the earth pressure distribution on cylindrical shafts: A review", Tunn. Undergr. Space Technol., 25(2), 188-197. https://doi.org/10.1016/j.tust.2009.11.001
  22. Tobar, T. and Meguid, M.A. (2011), "Experimental study of the earth pressure distribution on cylindrical shafts", J. Geotech. Geoenviron. Eng., 137(11), 1121-1125. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000535
  23. Wong, R.C.K. and Kaiser, P.K. (1988), "Design and performance evaluation of vertical shafts; rational shaft design method and verification of design method", Can. Geotech. J., 25(2), 320-337. https://doi.org/10.1139/t88-034
  24. Zheng, D.F., Nian, T.K., Liu, B., Yin, P. and Song, L. (2015), "Coefficient charts for active earth pressures under combined loadings", Geomech. Eng., Int. J., 8(3), 461-476. https://doi.org/10.12989/gae.2015.8.3.461

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