Analytical solutions for laterally loaded step-tapered piles by state space method

ZHANG Xiaodi; WANG Jinchang; YANG Zhongxuan; GONG Xiaonan; XU Rongqiao

doi:10.11779/CJGE20220384

Volume 45 Issue 9

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Chinese Journal of Geotechnical Engineering > 2023 > 45(9): 1944-1624. > DOI: 10.11779/CJGE20220384

ZHANG Xiaodi, WANG Jinchang, YANG Zhongxuan, GONG Xiaonan, XU Rongqiao. Analytical solutions for laterally loaded step-tapered piles by state space method[J]. Chinese Journal of Geotechnical Engineering, 2023, 45(9): 1944-1624. DOI: 10.11779/CJGE20220384

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Analytical solutions for laterally loaded step-tapered piles by state space method

ZHANG Xiaodi^{1, 2,},
WANG Jinchang^{1, 2, ,},
YANG Zhongxuan^{1, 3},
GONG Xiaonan^{1, 2},
XU Rongqiao^{1, 3}

1.
College of Civil Engineering, Zhejiang University, Hangzhou 310058, China
2.
Center for Balance Architecture, Zhejiang University, Hangzhou 310058, China
3.
Zhejiang Provincial Engineering Research Center for Digital & Smart Maintenance of Highway, Hangzhou 310051, China

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Received Date: April 01, 1952
Available Online: September 06, 2023

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Abstract

Abstract

To analyze the response of laterally loaded step-tapered piles, a four-spring model is proposed based on the Timoshenko beam theory considering the effects of pile diameter, shear deformation and nonlinear pile material behavior. The analytical solutions for the internal forces and deformations with arbitrary slenderness ratio can be derived by the state space method considering the nonlinear pile–soil interaction. The solutions are validated through the available field test results in the literatures. Furthermore, the influences of pile parameters, such as the variation position of the diameter, diameter ratio and Young's modulus ratio, on the pile loading responses are proposed. The results show that: (1) The sensitivity of these parameters follows the descending order: pile diameter ratio > variation position of pile diameter > Young's modulus ratio. (2) After trade-off between the pile lateral bearing capacity and the cost, it is suggested that the optimal variation position of the diameter, the pile diameter ratio and Young's modulus ratio should be set as 0.6.
- step-tapered pile,
- lateral load,
- pile-soil interaction,
- Timoshenko beam,
- four-spring model,
- state space method

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Analytical solutions for laterally loaded step-tapered piles by state space method

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