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A Simplified Approach for Axial Response of Single Precast Concrete Piles in Cement-Treated Soil


Precast concrete (PC) piles reinforced with cement-treated soil have been successfully applied to soft ground improvement in China’s coastal regions. However, very few analytical approaches have been proposed to predict their responses to axial loading. This paper presents a simple analytical approach for the prediction of the axial response of a single PC pile in cement-treated soil based on the shear displacement approach. The analysis considers the pile–treated soil-surrounding soil interaction and the non-homogeneity of subsoil shear modulus. The closed-form solutions for the axial force and displacement along the pile shaft as well as the load–displacement response are quickly deduced. A comparison with the measured response of a single PC pile with cement-treated soil reinforcement is performed to verify the effectiveness and accuracy of the proposed approach. Finally, using this approach, a parametric study was further conducted to clarify the influence of the related parameters on the axial response of the reinforced PC pile. The results show that increasing the subsoil shear modulus can significantly improve the bearing performance of the reinforced PC piles that are subjected to axial loading. The ultimate bearing capacity of the reinforced PC pile increases by approximately 20% for every 100 mm increase in the diameter of outer cement-treated soil. Moreover, the pile-head displacement reduction is generally proportional to the increase in the elastic modulus and the diameter of the inner PC pile.

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  1. 1.

    Gavin KG, Gallagher DG, Doherty PD, Mccabe BM (2010) Field investigation of the effect of installation method on the shaft. Can Geotech J 47(7):730–741

    Article  Google Scholar 

  2. 2.

    Attar IH, Fakharian K (2013) Influence of soil setup on shaft resistance variations of driven piles: case study. Int J Civ Eng 11(2):112–121

    Google Scholar 

  3. 3.

    Zhou JJ, Wang KH, Gong XN, Zhang RH (2013) Bearing capacity and load transfer mechanism of a static drill rooted nodular pile in soft soil areas. J Zhejiang Univ Sci A 14(10):705–719

    Article  Google Scholar 

  4. 4.

    Lee CW, Kim YS, Park SY (2016) Development of prebored screw pile method and evaluation of its bearing characteristics. Mar Georesour Geotech 34(1):42–56

    Article  Google Scholar 

  5. 5.

    Li XP, Cai GJ, Liu SY, Puppala AJ, Zheng JH, Jiang T (2017) Undrained shear strength and pore pressure changes due to prestress concrete pile installation in soft clay. Int J Civ Eng.

    Article  Google Scholar 

  6. 6.

    Khanmohammadi M, Fakharian K (2018) Numerical simulation of soil stress state variations due to mini-pile penetration in clay. Int J Civ Eng 16(4):409–419

    Article  Google Scholar 

  7. 7.

    Rashid ASA, Black JA, Kueh ABH, Noor NM (2015) Behaviour of weak soils reinforced with soil cement columns formed by the deep mixing method: rigid and flexible footings. Measurement 68:262–279

    Article  Google Scholar 

  8. 8.

    Tajdini M, Bonab MH, Golmohamadi S (2018) An experimental investigation on effect of adding natural and synthetic fibres on mechanical and behavioural parameters of soil–cement materials. Int J Civ Eng 16(4):353–370

    Article  Google Scholar 

  9. 9.

    Dong P, Qin R, Chen ZZ (2004) Bearing capacity and settlement of concrete-cored DCM pile in soft ground. Geotech Geol Eng 22(1):105–119

    Article  Google Scholar 

  10. 10.

    Wang C, Xu YF, Dong P (2014) Plate load tests of composite foundation reinforced by concrete-cored DCM pile. Geotech Geol Eng 32(1):85–96

    Article  Google Scholar 

  11. 11.

    Wang C, Xu YF, Dong P (2014) Working characteristics of concrete-cored deep cement mixing piles under embankments. J Zhejiang Univ Sci A 15(6):419–431

    Article  Google Scholar 

  12. 12.

    Han J (2015) Recent research and development of ground column technologies. Proc Inst Civil Eng Ground Improv 168(4):246–264

    Article  Google Scholar 

  13. 13.

    Ye GB, Cai YS, Zhang Z (2017) Numerical study on load transfer effect of stiffened deep mixed column-supported embankment over soft soil. KSCE J Civ Eng 21(3):703–714

    Article  Google Scholar 

  14. 14.

    Zhou JJ, Gong XN, Wang KH, Zhang RH (2015) A field study on the behavior of static drill rooted nodular piles with caps under compression. J Zhejiang Univ Sci A 16(12):951–963

    Article  Google Scholar 

  15. 15.

    Jamsawang P, Bergado DT, Voottipruex P (2011) Field behaviour of stiffened deep cement mixing piles. Proc Inst Civ Eng Ground Improv 164(1):33–49

    Article  Google Scholar 

  16. 16.

    Zhou JJ, Gong XN, Wang KH, Zhang RH, Yan TL (2016) A model test on the behavior of a static drill rooted nodular pile under compression. Mar Georesour Geotech 34(3):293–301

    Article  Google Scholar 

  17. 17.

    Thiyyakkandi S, Mcvay M, Bloomquist D, Lai P (2013) Measured and predicted response of a new jetted and grouted precast pile with membranes in cohesionless soils. J Geotech Geoenviron Eng ASCE 139(8):1334–1345

    Article  Google Scholar 

  18. 18.

    Zhou JJ, Gong XN, Wang KH, Zhang RH, Yan JJ (2017) Testing and modeling the behavior of pre-bored grouting planted piles under compression and tension. Acta Geotech 12(5):1061–1075

    Article  Google Scholar 

  19. 19.

    Voottipruex P, Suksawat T, Bergado DT, Jamsawang P (2011) Numerical simulations and parametric study of SDCM and DCM piles under full scale axial and lateral loads. Comput Geotech 38(3):318–329

    Article  Google Scholar 

  20. 20.

    Jamsawang P, Bergado DT, Bandari A, Voottipruex P (2013) Investigation and simulation of behavior of stiffened deep cement mixing (DSCM) piles. Int J Geotech Eng 2(3):229–246

    Article  Google Scholar 

  21. 21.

    Wonglert A, Jongpradist P (2015) Impact of reinforced core on performance and failure behavior of stiffened deep cement mixing piles. Comput Geotech 69:93–104

    Article  Google Scholar 

  22. 22.

    Baziar MH, Kashkooli A, Azizkandi AS (2012) Prediction of pile shaft resistance using cone penetration tests (CPTs). Comput Geotech 45:74–82

    Article  Google Scholar 

  23. 23.

    Azizkandi AS, Baziar MH, Modarresi M, Salehzadeh H, Rasouli H (2014) Centrifuge modeling of pile–soil–pile interaction considering relative density and toe condition. Sci Iran 21(4):1330–1339

    Google Scholar 

  24. 24.

    Kim HJ, Mission JL, Park TW, Dinoy PR (2018) Analysis of negative skin-friction on single piles by one-dimensional consolidation model test. Int J Civ Eng.

    Article  Google Scholar 

  25. 25.

    Xing HF, Liu LL (2018) Tests on influencing factors of negative skin friction for pile foundations in collapsible loess regions. Int J Civ Eng.

    Article  Google Scholar 

  26. 26.

    Randolph MF, Wroth CP (1978) Analysis of deformation of vertically loaded piles. J Geotech Eng Div ASCE 104(12):1465–1488

    Google Scholar 

  27. 27.

    Guo WD (2000) Vertically loaded single piles in Gibson soil. J Geotech Geoenviron Eng ASCE 126(2):189–193

    Article  Google Scholar 

  28. 28.

    Azizkandi AS, Kashkooli A, Baziar MH (2014) Prediction of uplift pile displacement based on cone penetration tests (CPT). Geotech Geol Eng 32(4):1043–1052

    Article  Google Scholar 

  29. 29.

    Baziar MH, Azizkandi AS, Kashkooli A (2015) Prediction of pile settlement based on cone penetration test results: An ANN approach. KSCE J Civ Eng 19(1):98–106

    Article  Google Scholar 

  30. 30.

    Zhou JJ, Gong XN, Wang KH, Zhang RH, Yan JJ (2017) A simplified nonlinear calculation method to describe the settlement of pre-bored grouting planted nodular piles. J Zhejiang Univ Sci A 18(11):895–909

    Article  Google Scholar 

  31. 31.

    Guo WD, Chow YK, Randolph MF (2007) Torsional piles in two-layered nonhomogeneous soil. Int J Geomech 7(6):410–422

    Article  Google Scholar 

  32. 32.

    Randolph MF, Wroth CP (1979) An analysis of the vertical deformation of pile groups. Géotechnique 29(4):423–439

    Article  Google Scholar 

  33. 33.

    JGJ106-2014 (2014) Technical code for testing of building foundation piles. China Academy of Building Research, Beijing

    Google Scholar 

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The research reported in this paper was supported by the National Key R&D Program of China (Grant no. 2016YFC0800200). The authors thank the anonymous reviewers for their constructive comments and advice, which greatly improved the quality of this manuscript.


The work presented in this paper was supported by the following supporting funds Organization: the National Key R&D Program of China (2016YFC0800200).

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Correspondence to Dingwen Zhang.

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Wang, A., Zhang, D. & Deng, Y. A Simplified Approach for Axial Response of Single Precast Concrete Piles in Cement-Treated Soil. Int J Civ Eng 16, 1491–1501 (2018).

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  • PC pile in cement-treated soil
  • Axial response
  • Analytical approach
  • Axial force
  • Displacement