Lateral Bearing Behaviors of Slightly Inclined Single Pile with Different Pile Head Restraint Under Combined Loads
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RESEARCH ARTICLE-CIVIL ENGINEERING
Lateral Bearing Behaviors of Slightly Inclined Single Pile with Different Pile Head Restraint Under Combined Loads Lei Zhang1,2 Received: 5 February 2020 / Accepted: 7 October 2020 © King Fahd University of Petroleum & Minerals 2020
Abstract For a laterally loaded pile with its head keyed into the cap, pile head actually rotates in spite of the restraint of the cap. Being aware of this fact, some parameters were put forward to represent the degree of rotational restraint at pile top, and many calculation methods of lateral pile responses were then developed. However, the presented solutions are only for piles under pure lateral loads. In fact, they are usually under the vertical loads simultaneously, caused by the weights of themselves and superstructures. Besides, the slight initial inclination of pile shaft is inevitable in engineering. Some researchers raised solutions of lateral responses of the slightly inclined single pile under combined vertical and lateral loads, but the partially fixed-head condition and the elastoplasticity of soil were not considered. In this study, elastoplastic semi-analytical solutions of lateral responses of the slightly inclined single pile under combined vertical and lateral loads were deduced, in which the rotational restraint coefficient was used to represent the degree of rotational restraint at pile top, and the three-parameter model of the coefficient of subgrade reaction was employed. The computer program was developed thereafter. The effectiveness and advantage of the obtained solutions were validated by the comparison among existing solutions, presented solutions and model test results. Sensitivity analysis was carried out for parameters such as the initial inclination angle of pile shaft, the rotational restraint coefficient, and the vertical load. Eventually, effects of each parameter on lateral pile responses were presented and discussed. Keywords Pile–soil interaction · Inclination · Rotational restraint · Elastoplasticity · Semi-analytical solutions
List of symbols Np Qp Mp up ϕp θ u∗ H 0, H 1, H 2 H
Vertical load (kN) Horizontal load (kN) Bending moment at pile top (kN m) Horizontal displacement of pile shaft at pile head (mm) Rotation angle of pile shaft at pile head (rad) Initial inclination angle of pile shaft (rad) Yielding displacement of soil (mm) Pile length (m) Total pile length (m)
Km q q0 , q N G, N S, N E f 0, f 1 u tG , u tS , u tE uG , uS , uE ufree uvp
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Lei Zhang [email protected]
1
School of Civil Engineering, Xi’an University of Architecture and Technology, Xi’an, Shaanxi Province 710055, China
2
Shaanxi Key Laboratory of Geotechnical and Underground Space Engineering, Xi’an University of Architecture and Technology, Xi’an 710055, Shaanxi Province, China
ϕG , ϕS , ϕE MG , MS , ME M max M fixed
Rotational restraint coefficient (kN m/rad) Distributed load acting on pile shaft above ground (kN/m) Coefficient of distributed load acting on pile shaft above ground (kN/m) Axial force of pile shaft (kN) Coeffici
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