Abstract
Using the natural equilibrium arch theory, a reasonable arch axis equation is obtained by considering the influence of the lateral earth pressure. With the appropriate safety coefficient, three nonlinear equations about the arch control condition, the vault condition and reasonable arch axis equation are achieved. The reasonable pile spacing will be determined by solving these nonlinear equations. To solve the equations turned solve zero value extremum problem of an unconstrained nonlinear function and the solutions can be quickly searched using the MATLAB software. Meanwhile, the simplified granary method is adopted to calculate soil pressure on the pile sheet using the actual arch axis. Finally, the analysis of a calculation example indicates that the proposed method is much more reasonable.
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References
Bosscher PJ, Gray DH (1986) Soil arching in sandy slopes. J Geotech Eng 112(6):626–645
Chenghua W, Yongbo C, Lixiang L (2001) Soil arch mechanical character and suitable space between one another anti-sliding pile. J Mt Sci 19(6):556–559
Chen CY, Martain GR (2002) Soil-structure interaction for landslide stabilizing piles. Comput Geotech 29(5):363–386
Jia HL, Wang CH, Li JH (2003) Discussion on some issues in theory of soil arch. J Southwest Jiaotong Univ 38(4):398–402
Jia HL, Wang CH, Li JH (2004) Analysis of pile spacing between anti-sliding piles and pertaining piles in accordance with soil arching effect. J Eng Geol 12(1):98–103
Jiang LW, Huang RQ, Jiang ZX (2006) Analysis of soil arching effect between adjacent piles and their spacing in cohesive soils. Rock Soil Mech 27(3):445–450
Kahyaoğlu MR, Onal O, Imançlı G, Ozden G, Kayalar AŞ (2012) Soil arching and load transfer mechanism for slope stabilized with piles. J Civ Eng Manag 18(5):701–708. https://doi.org/10.3846/13923730.2012.723353
Ladanyi B, Hoyaux B (1969) A study of the trap door problem in a granular mass. Can Geotech J 6(1):1–14
Li SJ, Chen J, Lian C (2010) Mechanical model of soil arch for interaction of piles and slope and problem of pile spacing. Rock Soil Mech 31(5):1352–1357
Liang R, Zeng S (2002) Numerical study of soil arching mechanism in drilled shafts for slope stabilization. Soil Found 42(2):83–92
Liu HJ, Men YM, Li XC et al (2012) Study of model test on cantilever anti-slide pile. Rock Soil Mech 33(10):2960–2967
Qin L, Wang XM, Li YZ (2009) Horizontal soil arch based calculation of earth pressure on slab between two adjacent anti-slide piles. J Eng Geol 17(2):274–279
Terzaghi K (1943) Theoretical soil mechanics. Wiley, New York
Wang WL, Yen BC (1974) Soil arching in slopes. J Geotech Eng, Am Soc Civil Eng 100(GT1):61–78
Wang CH, Chen LB, Lin LX (2010) Soil arch mechanical character and suitable space between one another anti-sliding pile. J Mt Sci 19(6):556–559
Wu K, Wang JG, Tan XH (2010) Method for determining rational space between anti-slide piles in slope projects. J Hefei Univ Technol 33(5):700–703
Xiao SG, Cheng FQ (2015) Further discussion on calculation method of rational spacing between two adjacent cantilever piles for stabilizing slope. Rock Soil Mech 36(1):111–116
Ye XM (1999) Calculation method of earth pressure on column-slab structure retaining wall plate. Undergr Space 19(2):142–146
Zhou YH, Zhou DP, Feng J (2006) Geometrically mechanical characters of soil arch between two adjacent laterally loaded piles and determination of suitable pile spacing. Rock Soil Mech 27(3):455–457
Zhou DP, Xiao SG, Xia X (2010) Discussion on rational spacing between adjacent anti-slide piles in some cutting slope projects. Chin J Geotech Eng 33(5):700–703
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Funding was privided by National Natural Science Foundation of China. Grant No. 51478065.
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Zhang, H., Chen, J. & Xu, M. The Determination of Rational Spacing of Anti-Slide Piles and Soil Pressure on Pile Sheet Based on Soil Arching Effect. Geotech Geol Eng 40, 2857–2866 (2022). https://doi.org/10.1007/s10706-022-02068-y
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DOI: https://doi.org/10.1007/s10706-022-02068-y