Internal Force of the Anti-slide Pile in Soil Based on the Deep Beam Model

Abstract

According to the deep beam model, the bury conditions, the geometry characteristics and the load condition, we established a load transfer model based on the tie rod arch and an internal force model for the loaded and anchored segments of the anti-slide pile. Then, we analyzed the shear, bending shear and local compressive failures of the pile, caused by the equivalent concentrated thrust force, the lateral frictional force, active earth pressure, and passive earth pressure, etc. With the laboratory results of the deep beam model, the relation between the shear span ratio and the tie rod arch was presented. According to the mechanical balance conditions of the cantilever beam, we obtained the power function curve of the tie rod arch and the influence factors. Subsequently, we established the equations of the horizontal displacement and the deflection angle at the bearing segment by superposing the load and the displacement of the strip nodes. According to the deformation characteristics of the Timoshenko deep beam element, the equations of the horizontal displacement and the deflection angle at the anchored segment were proposed. With the established calculation model and the material mechanics, the displacement, shear force and bending moment curves at the loaded and anchored segment of the anti-slide pile were proposed. Finally, the case study indicates that the displacement and the internal forces are nonlinear in the pile. The results obtained using the preliminary beam are larger than the numerical results, which is the smallest results than the other two methods.

References

  1. Brandenberg SJ, Boulanager RW, Kutter BL, Chang DD (2005) Behavior of pile foundations in laterally spreading ground during centrifuge tests. Journal of Geotechnical and Geoenvironmental Engineering 131(11):1378–1391, DOI: https://doi.org/10.1061/(ASCE)1090-0241(2005)131:11(1378)

    Article  Google Scholar 

  2. Dai ZH, Shen PS (2003) Improvements on calculation of internal forces of cantilever anti-sliding piles. Journal of Hunan University (Natural Sciences) 30(3):81–85, DOI: https://doi.org/10.3321/j.issn:1000-2472.2003.03.021 (in Chinese)

    Google Scholar 

  3. Fu QX, Zhang XM (1992) Investigation of reinforced concrete cantilever deep beams subjected to shear. Journal of South China University of Technology (Natural Science) 20(1):9–15 (in Chinese)

    Google Scholar 

  4. Kahyaoglu MR, Onal O, Imanchn G, Ozden G, Kayalar AS (2012) Soil arching and load transfer mechanism for slope stabilitied with piles. Journal of Civil Engineering and Management 18(5):701–708, DOI: https://doi.org/10.3846/13923730.2012.723353

    Article  Google Scholar 

  5. Kourkoulis R, Gelagoti F, Anastasopoulos I, Gazetas G (2011) Slope stabilizing piles and pile group: Parametric study and design insights. Journal of Geotechnical and Geoenvironmental Engineering 137(7): 663–677, DOI: https://doi.org/10.1061/(ASCE)GT.1943-5606.0000479

    Article  Google Scholar 

  6. Lei GP, Tang HM, Li CD, Song DW, Cheng H, Wu Q (2013) Study ofimproved design method of anti-slide pile socketed segment. Chinese Journal of Rock Mechanics and Engineering 32(3):605–614, DOI: https://doi.org/10.3969/j.issn.1000-6915.2013.03.019 (in Chinese)

    Google Scholar 

  7. Li J, Jiang XG, Wang HZ, Luo S, Xia WZ, Li X (2018) Analytical element for Timoshenko beam on elastic foundation. Engineering Mechancis 35(2):221–229, DOI: https://doi.org/10.6052/j.issn.1000-4750.2016.10.0834 (in Chinese)

    Google Scholar 

  8. Li CD, Wu JJ, Tang HM, Wang J, Chen F, Liang DM (2015) A novel optimal plane arrangement of stabilizing piles based on soil arching effect and stability limit for 3D colluvial landslides. Engineering Geology 195:236–247, DOI: https://doi.org/10.1016/j.enggeo.2015.06.018

    Article  Google Scholar 

  9. Liu J, Wang J (2018) The effect of indentation sequence on rock breakages: A study based on laboratory and numerical tests. Comptes Rendus Mecanique 346(1):26–38, DOI: https://doi.org/10.1016/j.crme.2017.11.004

    Article  Google Scholar 

  10. Matsui T, San KC (1992) Finite element slope stability by shear strength reduction technique. Soils and Foundations 32(1):59–90

    Article  Google Scholar 

  11. Wang YX, Guo PP, Ren WX, Yuan BX (2017) Laboratory investigation on strength characteristics of expansive soil treated with jute fiber reinforcement. International Journal of Geomechanics 17(11): 04017101, DOI: https://doi.org/10.1061/(ASCE)GM.1943-5622.0000998

    Article  Google Scholar 

  12. Wang LP, Zhang G (2014) Centrifuge model test study on pile reinforcement behavior of cohesive soil slopes under earthquake conditions. Landslides 11(2):213–223, DOI: https://doi.org/10.1007/s10346-013-0388-2

    Article  Google Scholar 

  13. Xia GY, Li CX, Zeng QY (2010) Finite element formulation of Timoshenko beam on Winkler elastic foundation. Journal of Central South University (Science and Technology) 41(4):1549–1555 (in Chinese)

    Google Scholar 

  14. Xia GY, Zeng QY (2015) Timoshenko beam theory and its applications. Mechanics in Engineering 37(3):302–316, DOI: https://doi.org/10.6052/1000-0879-14-080 (in Chinese)

    Google Scholar 

  15. Xia GY, Zeng QY (2016) Analysis of nodal load distribution of crossed foundation beam based on the theory of Timoshenko beam on Winkler foundation. Engineering Mechancis 32(2):88–95 (in Chinese)

    Google Scholar 

  16. Xu RQ, Wu YF (2007) Static, dynamic, and buckling analysis of partial interaction composite members using Timoshenko’s beam theory. International Journal of Mechanical Sciences 49:1139–1155, DOI: https://doi.org/10.1016/j.ijmecsci.2007.02.006

    Article  Google Scholar 

  17. Yin J, Deng RG, Wang JM, Wang YY, Li KT (2017) Transfer matrix algorithm for calculating internal forces of andi-sliding pile with anchor cable. Rock and Soil Mechanics 38(12):3517–3531, DOI: https://doi.org/10.16285/j.rsm.2017.12.016 (in Chinese)

    Google Scholar 

  18. Zhao YL, Zhang LY, Wang WJ, Tang JZ, Lin H, Wan W (2017) Transient pulse test and morphological analysis of single rock fractures. International Journal of Rock Mechanics & Mining Sciences 91:139–154, DOI: https://doi.org/10.1016/j.ijrmms.2016.11.016

    Article  Google Scholar 

  19. Zhao YL, Zhang LY, Wang WJ, Wan W, Ma W (2018) Separation of elastoviscoplastic strain of rock and a nonlinear creep model. International Journal of Geomechanics 18:04017129, DOI: https://doi.org/10.1061/(ASCE)GM.1943-5622.0001033

    Article  Google Scholar 

Download references

Acknowledgments

The authors gratefully acknowledge the support from the Natural Science Foundation of Hunan Province (No.2019JJ40056), the National Natural Science Foundation of China (No.51804110), Scientific Research Foundation of Hunan Province Education Department (No.18A345, 18B391, 19B124), and the construct program of applied specialty disciplines in Hunan province. These works are gratefully acknowledged.

Author information

Affiliations

Authors

Corresponding author

Correspondence to Jun Wang.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Wang, J., Liu, J. & Liang, Q. Internal Force of the Anti-slide Pile in Soil Based on the Deep Beam Model. KSCE J Civ Eng 25, 782–792 (2021). https://doi.org/10.1007/s12205-021-0161-3

Download citation

Keywords

  • Anti-slide pile
  • Bearing characteristics
  • Calculation model
  • Internal force
  • Deep beam theory