Response of rigid piles during passive dragging
Summary This paper develops a three‐layer model and elastic solutions to capture nonlinear response of rigid, passive piles in sliding soil. Elastic solutions are obtained for an equivalent force per unit length ps of the soil movement. They are repeated for a series of linearly increasing ps (with...
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Published in | International journal for numerical and analytical methods in geomechanics Vol. 40; no. 14; pp. 1936 - 1967 |
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Main Author | |
Format | Journal Article |
Language | English |
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Bognor Regis
Blackwell Publishing Ltd
10.10.2016
Wiley Subscription Services, Inc |
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Abstract | Summary
This paper develops a three‐layer model and elastic solutions to capture nonlinear response of rigid, passive piles in sliding soil. Elastic solutions are obtained for an equivalent force per unit length ps of the soil movement. They are repeated for a series of linearly increasing ps (with depth) to yield the nonlinear response. The parameters underpinning the model are determined against pertinent numerical solutions and model tests on passive free‐head and capped piles. The solutions are presented in non‐dimensional charts and elaborated through three examples. The study reveals the following:
On‐pile pressure in rotationally restrained, sliding layer reduces by a factor α, which resembles the p‐multiplier for a laterally loaded, capped pile, but for its increase with vertical loading (embankment surcharge), and stiffness of underlying stiff layer: α = 0.25 and 0.6 for a shallow, translating and rotating piles, respectively; α = 0.33–0.5 and 0.8–1.3 for a slide overlying a stiff layer concerning a uniform and a linearly increasing pressure, respectively; and α = 0.5–0.72 for moving clay under embankment loading.
Ultimate state is well defined using the ratio of passive earth pressure coefficient over that of active earth pressure. The subgrade modulus for a large soil movement may be scaled from model tests.
The normalised rotational stiffness is equal to 0.1–0.15 for the capped piles, which increases the pile displacement with depth.
The three‐layer model solutions well predict nonlinear response of capped piles subjected to passive loading, which may be used for pertinent design. Copyright © 2016 John Wiley & Sons, Ltd. |
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AbstractList | This paper develops a three-layer model and elastic solutions to capture nonlinear response of rigid, passive piles in sliding soil. Elastic solutions are obtained for an equivalent force per unit length ps of the soil movement. They are repeated for a series of linearly increasing ps (with depth) to yield the nonlinear response. The parameters underpinning the model are determined against pertinent numerical solutions and model tests on passive free-head and capped piles. The solutions are presented in non-dimensional charts and elaborated through three examples. The study reveals the following: * On-pile pressure in rotationally restrained, sliding layer reduces by a factor alpha , which resembles the p-multiplier for a laterally loaded, capped pile, but for its increase with vertical loading (embankment surcharge), and stiffness of underlying stiff layer: alpha =0.25 and 0.6 for a shallow, translating and rotating piles, respectively; alpha =0.33-0.5 and 0.8-1.3 for a slide overlying a stiff layer concerning a uniform and a linearly increasing pressure, respectively; and alpha =0.5-0.72 for moving clay under embankment loading. * Ultimate state is well defined using the ratio of passive earth pressure coefficient over that of active earth pressure. The subgrade modulus for a large soil movement may be scaled from model tests. * The normalised rotational stiffness is equal to 0.1-0.15 for the capped piles, which increases the pile displacement with depth. The three-layer model solutions well predict nonlinear response of capped piles subjected to passive loading, which may be used for pertinent design. Summary This paper develops a three‐layer model and elastic solutions to capture nonlinear response of rigid, passive piles in sliding soil. Elastic solutions are obtained for an equivalent force per unit length ps of the soil movement. They are repeated for a series of linearly increasing ps (with depth) to yield the nonlinear response. The parameters underpinning the model are determined against pertinent numerical solutions and model tests on passive free‐head and capped piles. The solutions are presented in non‐dimensional charts and elaborated through three examples. The study reveals the following: On‐pile pressure in rotationally restrained, sliding layer reduces by a factor α, which resembles the p‐multiplier for a laterally loaded, capped pile, but for its increase with vertical loading (embankment surcharge), and stiffness of underlying stiff layer: α = 0.25 and 0.6 for a shallow, translating and rotating piles, respectively; α = 0.33–0.5 and 0.8–1.3 for a slide overlying a stiff layer concerning a uniform and a linearly increasing pressure, respectively; and α = 0.5–0.72 for moving clay under embankment loading. Ultimate state is well defined using the ratio of passive earth pressure coefficient over that of active earth pressure. The subgrade modulus for a large soil movement may be scaled from model tests. The normalised rotational stiffness is equal to 0.1–0.15 for the capped piles, which increases the pile displacement with depth. The three‐layer model solutions well predict nonlinear response of capped piles subjected to passive loading, which may be used for pertinent design. Copyright © 2016 John Wiley & Sons, Ltd. Summary This paper develops a three-layer model and elastic solutions to capture nonlinear response of rigid, passive piles in sliding soil. Elastic solutions are obtained for an equivalent force per unit length ps of the soil movement. They are repeated for a series of linearly increasing ps (with depth) to yield the nonlinear response. The parameters underpinning the model are determined against pertinent numerical solutions and model tests on passive free-head and capped piles. The solutions are presented in non-dimensional charts and elaborated through three examples. The study reveals the following: On-pile pressure in rotationally restrained, sliding layer reduces by a factor [alpha], which resembles the p-multiplier for a laterally loaded, capped pile, but for its increase with vertical loading (embankment surcharge), and stiffness of underlying stiff layer: [alpha]=0.25 and 0.6 for a shallow, translating and rotating piles, respectively; [alpha]=0.33-0.5 and 0.8-1.3 for a slide overlying a stiff layer concerning a uniform and a linearly increasing pressure, respectively; and [alpha]=0.5-0.72 for moving clay under embankment loading. Ultimate state is well defined using the ratio of passive earth pressure coefficient over that of active earth pressure. The subgrade modulus for a large soil movement may be scaled from model tests. The normalised rotational stiffness is equal to 0.1-0.15 for the capped piles, which increases the pile displacement with depth. The three-layer model solutions well predict nonlinear response of capped piles subjected to passive loading, which may be used for pertinent design. Copyright © 2016 John Wiley & Sons, Ltd. |
Author | Guo, Wei Dong |
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References | Brown DA, Morrison C, Reese LC. Lateral load behaviour of pile group in sand. Journal of Geotechnical and Geoenvironmental Engineering Division, ASCE 1998; 114(11):1261-1276. Chmoulian A. Briefing: analysis of piled stabilization of landslides. Proceedings of the Institution of Civil Engineers: Geotechnical Engineering 2004; 157(2):55-56. Bransby MF, Springman SM. 3-D finite element modelling of pile groups adjacent to surcharge loads. Computers and Geotechnics 1996; 19(4):301-324. Chen LT, Poulos HG, Leung CF, Chow YK, Shen RF. Discussion of "behavior of pile subject to excavation-induced soil movement". Journal of Geotechnical and Geoenvironmental Engineering, ASCE 2002; 128(3):279-281. Leung CF, Chow YK, Shen RF. Behaviour of pile subject to excavation-induced soil movement. Journal of Geotechnical and Geoenvironmental Engineering, American Society of Civil Engineers 2000; 126(11):947-954. Yang Z, Jeremic B. Numerical analysis of pile behaviour under lateral load in layered elastic-plastic soils. International Journal of Numerical and Analytical Methods in Geomechanics 2002; 26(14):1385-1406. Frank R, Pouget P. Experimental pile subjected to long duration thrusts owing to a moving slope. Geotechnique 2008; 58(8):645-658. Mokwa RL, Duncan JM. Discussion on 'centrifuge model study of laterally loaded pile groups in clay' by T. IIyas, C. F. Leung, Y. K. Chow and S. S. Budi. Journal of Geotechnical and Geoenvironmental Engineering Division, ASCE 2005; 131(10):1305-1307. Guo WD, Qin HY. Thrust and bending moment of rigid piles subjected to moving soil. Canadian Geotechnical Journal 2010; 47(2):180-196. Guo WD. Theory and Practice of Pile Foundations. CRC press: Boca Raton, London, New York, 2012. Cai F, Ugai K. Response of flexible piles under laterally linear movement of the sliding layer in landslides. Canadian Geotechnical Journal 2003; 40(1):46-53. Guo WD. Nonlinear response of lateral piles with compatible cap stiffness and p-multiplier. Journal of Engineering Mechanics 2015; 141(906015002):06015002-1-06015002-11. Chow YK. Analysis of piles used for slope stabilization. International Journal for Numerical and Analytical Methods in Geomechanics 1996; 20(9):635-646. Stewart DP, Jewell RJ, Randolph MF. Design of piled bridge abutment on soft clay for loading from lateral soil movements. Geotechnique 1994; 44(2):277-296. Guo WD. Elastic models for nonlinear response of rigid passive piles. International Journal for Numerical and Analytical Methods in Geomechanics 2014; 38(18):1969-1989. Poulos HG, Chen LT, Hull TS. Model tests on single piles subjected to lateral soil movement. Soils and Foundations 1995; 35(4):85-92. Franke KW, Rollins KM. Simplified hybrid p-y spring model for liquefied soils. Journal of Geotechnical and Geoenvironmental Engineering, ASCE 2013; 139(4):564-576. He L, Elgamal A, Abdoun T, Abe A, Dobry R, Hamada M, Menses J, Sato M, Shantz T, Tokimatsu K. Liquefaction-induced lateral load on pile in a medium Dr sand layer. Journal of Earthquake Engineering 2009; 13:916-938. Juirnarongrit T, Ashford SA. Soil-pile responese to blast-induced lateral spreading II: analysis and assessment of the p-y method. Journal of Geotechnical and Geoenvironmental Engineering Division, ASCE 2006; 132(2):163-172. Guo WD. On limiting force profile, slip depth and lateral pile response. Computers and Geotechnics 2006; 33(1):47-67. Guo WD. Laterally loaded rigid piles in cohesionless soil. Canadian Geotechnical Journal 2008; 45(5):676-697. Abdoun T, Dobry R, O'Rourke TD, Goh SH. Pile response to lateral spreads: centrifuge modeling. Journal of Geotechnical and Geoenvironmental Engineering, ASCE 2003; 129(10):869-878. Brandenberg SJ, Boulanger RW, Kutter BL. Discussion of "single piles in lateral spreads: field bending moment evaluation" by R. Dobry, T. Abdoun, T. D. O'Rourke, and S. H. Goh. Journal of Geotechnical and Geoenvironmental Engineering, ASCE 2005; 131(4):529-534. Ito T, Matsui T. Methods to estimate lateral force acting on stabilizing piles. Soils and Foundations 1975; 15(4):43-59. Kourkoulis R, Gelagoti F, Anastasopoulos I, Gazetas G. Slope stabilizing piles and pile-groups: parametric study and design insights. Journal of Geotechnical and Geoenvironmental Engineering, ASCE 2011; 137(7):663-677. Poulos HG, Davis EH. Pile Foundation Analysis and Design. John Wiley & Sons: New York, 1980. Randolph MF, Houlsby GT. The limiting pressure on a circular pile loaded laterally in cohesive soil. Geotechnique 1984; 34(4):613-623. Brandenberg SJ, Zhao M, Boulanger RW, Wilson DW. p-y plasticity model for nonlinear dynamic analysis of piles in liquefiable soil. Journal of Geotechnical and Geoenvironmental Engineering, ASCE 2005; 139(8):1262-1274. Smethurst JA, Powrie W. Monitoring and analysis of the bending behaviour of discrete piles used to stabilise a railway embankment. Geotechnique 2007; 57(8):663-677. Guo WD. pu based solutions for slope stabilising piles. International Journal of Geomechanics 2013; 13(3):292-310. Dobry R, Abdoun T, O'Rourke TD, Goh SH. Single piles in lateral spreads: field bending moment evaluation. Journal of Geotechnical and Geoenvironmental Engineering, ASCE 2003; 129(10):879-889. Muraro S, Madaschi A, Gajo A. On the reliability of 3D numerical analyses on passive piles used for slope stabilisation in frictional soils. Geotechnique 2014; 64(6):486-492. Poulos HG. Design of reinforcing piles to increase slope stability. Canadian Geotechnical Journal 1995; 32(5):808-818. Guo WD. Nonlinear response of laterally loaded rigid piles in sliding soil. Canadian Geotechnical Journal 2015; 52(7):903-925. De Beer E, Carpentier R. Discussion on 'methods to estimate lateral force acting on stabilising piles' by Ito, T., and Matsui, T. (1975). Soils and Foundations 1977; 17(1):68-82. 2015; 141 2011; 137 1996; 19 2005; 131 2012 2006; 33 1981; 3 1995; 35 2015; 52 1995; 32 2005; 139 2008; 58 1998 1994; 44 1975; 15 2006; 132 2005 1998; 114 2004 2003 2002 2007; 57 2014; 64 2009; 13 2002; 26 2003; 129 2010; 47 2004; 157 2013; 13 1977; 17 2000; 126 1984; 34 2013; 139 2014; 38 2002; 128 1977; 1 2008; 45 1982 1980 2003; 40 1996; 20 |
References_xml | – reference: Juirnarongrit T, Ashford SA. Soil-pile responese to blast-induced lateral spreading II: analysis and assessment of the p-y method. Journal of Geotechnical and Geoenvironmental Engineering Division, ASCE 2006; 132(2):163-172. – reference: Guo WD. pu based solutions for slope stabilising piles. International Journal of Geomechanics 2013; 13(3):292-310. – reference: Cai F, Ugai K. Response of flexible piles under laterally linear movement of the sliding layer in landslides. Canadian Geotechnical Journal 2003; 40(1):46-53. – reference: Dobry R, Abdoun T, O'Rourke TD, Goh SH. Single piles in lateral spreads: field bending moment evaluation. Journal of Geotechnical and Geoenvironmental Engineering, ASCE 2003; 129(10):879-889. – reference: Brandenberg SJ, Boulanger RW, Kutter BL. Discussion of "single piles in lateral spreads: field bending moment evaluation" by R. Dobry, T. Abdoun, T. D. O'Rourke, and S. H. Goh. Journal of Geotechnical and Geoenvironmental Engineering, ASCE 2005; 131(4):529-534. – reference: Bransby MF, Springman SM. 3-D finite element modelling of pile groups adjacent to surcharge loads. Computers and Geotechnics 1996; 19(4):301-324. – reference: Guo WD. Nonlinear response of lateral piles with compatible cap stiffness and p-multiplier. Journal of Engineering Mechanics 2015; 141(906015002):06015002-1-06015002-11. – reference: Brandenberg SJ, Zhao M, Boulanger RW, Wilson DW. p-y plasticity model for nonlinear dynamic analysis of piles in liquefiable soil. Journal of Geotechnical and Geoenvironmental Engineering, ASCE 2005; 139(8):1262-1274. – reference: Franke KW, Rollins KM. Simplified hybrid p-y spring model for liquefied soils. Journal of Geotechnical and Geoenvironmental Engineering, ASCE 2013; 139(4):564-576. – reference: Poulos HG. Design of reinforcing piles to increase slope stability. Canadian Geotechnical Journal 1995; 32(5):808-818. – reference: Guo WD. Elastic models for nonlinear response of rigid passive piles. International Journal for Numerical and Analytical Methods in Geomechanics 2014; 38(18):1969-1989. – reference: Brown DA, Morrison C, Reese LC. Lateral load behaviour of pile group in sand. Journal of Geotechnical and Geoenvironmental Engineering Division, ASCE 1998; 114(11):1261-1276. – reference: Guo WD. On limiting force profile, slip depth and lateral pile response. Computers and Geotechnics 2006; 33(1):47-67. – reference: Smethurst JA, Powrie W. Monitoring and analysis of the bending behaviour of discrete piles used to stabilise a railway embankment. Geotechnique 2007; 57(8):663-677. – reference: Poulos HG, Chen LT, Hull TS. Model tests on single piles subjected to lateral soil movement. Soils and Foundations 1995; 35(4):85-92. – reference: Guo WD, Qin HY. Thrust and bending moment of rigid piles subjected to moving soil. Canadian Geotechnical Journal 2010; 47(2):180-196. – reference: Kourkoulis R, Gelagoti F, Anastasopoulos I, Gazetas G. Slope stabilizing piles and pile-groups: parametric study and design insights. Journal of Geotechnical and Geoenvironmental Engineering, ASCE 2011; 137(7):663-677. – reference: Yang Z, Jeremic B. Numerical analysis of pile behaviour under lateral load in layered elastic-plastic soils. International Journal of Numerical and Analytical Methods in Geomechanics 2002; 26(14):1385-1406. – reference: De Beer E, Carpentier R. Discussion on 'methods to estimate lateral force acting on stabilising piles' by Ito, T., and Matsui, T. (1975). Soils and Foundations 1977; 17(1):68-82. – reference: Frank R, Pouget P. Experimental pile subjected to long duration thrusts owing to a moving slope. Geotechnique 2008; 58(8):645-658. – reference: Poulos HG, Davis EH. Pile Foundation Analysis and Design. John Wiley & Sons: New York, 1980. – reference: Abdoun T, Dobry R, O'Rourke TD, Goh SH. Pile response to lateral spreads: centrifuge modeling. Journal of Geotechnical and Geoenvironmental Engineering, ASCE 2003; 129(10):869-878. – reference: Guo WD. Theory and Practice of Pile Foundations. CRC press: Boca Raton, London, New York, 2012. – reference: Muraro S, Madaschi A, Gajo A. On the reliability of 3D numerical analyses on passive piles used for slope stabilisation in frictional soils. Geotechnique 2014; 64(6):486-492. – reference: Randolph MF, Houlsby GT. The limiting pressure on a circular pile loaded laterally in cohesive soil. Geotechnique 1984; 34(4):613-623. – reference: Guo WD. Nonlinear response of laterally loaded rigid piles in sliding soil. Canadian Geotechnical Journal 2015; 52(7):903-925. – reference: Leung CF, Chow YK, Shen RF. Behaviour of pile subject to excavation-induced soil movement. Journal of Geotechnical and Geoenvironmental Engineering, American Society of Civil Engineers 2000; 126(11):947-954. – reference: Chow YK. Analysis of piles used for slope stabilization. International Journal for Numerical and Analytical Methods in Geomechanics 1996; 20(9):635-646. – reference: Chen LT, Poulos HG, Leung CF, Chow YK, Shen RF. Discussion of "behavior of pile subject to excavation-induced soil movement". Journal of Geotechnical and Geoenvironmental Engineering, ASCE 2002; 128(3):279-281. – reference: Chmoulian A. Briefing: analysis of piled stabilization of landslides. Proceedings of the Institution of Civil Engineers: Geotechnical Engineering 2004; 157(2):55-56. – reference: Mokwa RL, Duncan JM. Discussion on 'centrifuge model study of laterally loaded pile groups in clay' by T. IIyas, C. F. Leung, Y. K. Chow and S. S. Budi. Journal of Geotechnical and Geoenvironmental Engineering Division, ASCE 2005; 131(10):1305-1307. – reference: He L, Elgamal A, Abdoun T, Abe A, Dobry R, Hamada M, Menses J, Sato M, Shantz T, Tokimatsu K. Liquefaction-induced lateral load on pile in a medium Dr sand layer. Journal of Earthquake Engineering 2009; 13:916-938. – reference: Ito T, Matsui T. Methods to estimate lateral force acting on stabilizing piles. Soils and Foundations 1975; 15(4):43-59. – reference: Guo WD. Laterally loaded rigid piles in cohesionless soil. Canadian Geotechnical Journal 2008; 45(5):676-697. – reference: Stewart DP, Jewell RJ, Randolph MF. Design of piled bridge abutment on soft clay for loading from lateral soil movements. Geotechnique 1994; 44(2):277-296. – volume: 139 start-page: 1262 issue: 8 year: 2005 end-page: 1274 article-title: p‐y plasticity model for nonlinear dynamic analysis of piles in liquefiable soil publication-title: Journal of Geotechnical and Geoenvironmental Engineering, ASCE – volume: 33 start-page: 47 issue: 1 year: 2006 end-page: 67 article-title: On limiting force profile, slip depth and lateral pile response publication-title: Computers and Geotechnics – year: 2005 – volume: 19 start-page: 301 issue: 4 year: 1996 end-page: 324 article-title: 3‐D finite element modelling of pile groups adjacent to surcharge loads publication-title: Computers and Geotechnics – volume: 26 start-page: 1385 issue: 14 year: 2002 end-page: 1406 article-title: Numerical analysis of pile behaviour under lateral load in layered elastic‐plastic soils publication-title: International Journal of Numerical and Analytical Methods in Geomechanics – volume: 20 start-page: 635 issue: 9 year: 1996 end-page: 646 article-title: Analysis of piles used for slope stabilization publication-title: International Journal for Numerical and Analytical Methods in Geomechanics – volume: 58 start-page: 645 issue: 8 year: 2008 end-page: 658 article-title: Experimental pile subjected to long duration thrusts owing to a moving slope publication-title: Geotechnique – volume: 13 start-page: 916 year: 2009 end-page: 938 article-title: Liquefaction‐induced lateral load on pile in a medium Dr sand layer publication-title: Journal of Earthquake Engineering – volume: 47 start-page: 180 issue: 2 year: 2010 end-page: 196 article-title: Thrust and bending moment of rigid piles subjected to moving soil publication-title: Canadian Geotechnical Journal – volume: 38 start-page: 1969 issue: 18 year: 2014 end-page: 1989 article-title: Elastic models for nonlinear response of rigid passive piles publication-title: International Journal for Numerical and Analytical Methods in Geomechanics – volume: 57 start-page: 663 issue: 8 year: 2007 end-page: 677 article-title: Monitoring and analysis of the bending behaviour of discrete piles used to stabilise a railway embankment publication-title: Geotechnique – year: 2003 – volume: 131 start-page: 529 issue: 4 year: 2005 end-page: 534 article-title: Discussion of “single piles in lateral spreads: field bending moment evaluation” by R. Dobry, T. Abdoun, T. D. O'Rourke, and S. H. 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This paper develops a three‐layer model and elastic solutions to capture nonlinear response of rigid, passive piles in sliding soil. Elastic solutions... Summary This paper develops a three-layer model and elastic solutions to capture nonlinear response of rigid, passive piles in sliding soil. Elastic solutions... This paper develops a three-layer model and elastic solutions to capture nonlinear response of rigid, passive piles in sliding soil. Elastic solutions are... |
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StartPage | 1936 |
SubjectTerms | analytical solutions Capping closed-form solutions Earth pressure Earth rotation examples Mathematical models nonlinear response Nonlinearity passive piles Piles Sliding Soil (material) soil movement soil-structure interaction Stiffness |
Title | Response of rigid piles during passive dragging |
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