Abstract
The buckling instability of long slender piles in soft soils is a key consideration in geoengineering design. By considering both the linear shaft friction and linear lateral stiffness of the soft soil, the buckling behaviors of a tapered friction pile embedded in heterogeneous soil are extensively studied. This study establishes and validates an analytical model to formulate the equilibrium equations and boundary conditions and then numerically solves the boundary value problem to obtain the critical buckling load and buckling shape by using software Matlab. The effects of boundary conditions, tapered ratio, stiffness ratio, friction ratio, lateral stiffness, and shaft friction on the buckling behavior of the friction pile are extensively explored. This study demonstrates that the buckling load decreases with the increase of friction ratio of the linear shaft friction. There exists an optimal tapered ratio corresponding to the maximum dimensionless buckling load in the tapered friction pile with linear shaft friction. The result means that the linear shaft friction should be considered in designing the tapered friction piles in heterogeneous soils. The results also have potential applications in the fields of growing of tree roots in soils, moving of slender rods in viscous fluids, penetrating of fine rods in soft elastomers, etc.
Highlights
Tapered friction piles have the advantages of small settlement, fast construction speed, and high economic benefits and have been widely used in road and bridge engineering at present
To simplify the theoretical formulation, both linear lateral stiffness and linear lateral friction resistance are assumed, and the stability of a tapered friction pile in heterogeneous soils is studied by establishing a theoretical model in this paper. is study will focus on exploring the effect of the friction ratio of the linear friction on buckling behaviors in the tapered friction piles in heterogeneous soils
It is noted that s < 1 represents the softening of foundation with depth, and s > 1 represents the hardening of foundation with depth. e results show that the buckling load b decreases with increasing friction ratios regardless of end restraint, and the dependence of the buckling load on the friction ratio is most significant when s is small. e results show that the end conditions have a great influence on the buckling behaviors of the pile
Summary
Tapered friction piles have the advantages of small settlement, fast construction speed, and high economic benefits and have been widely used in road and bridge engineering at present. A buckling analysis method for fully embedded single pile in elastic foundation under axial load based on modified Vlasov foundation model is proposed, and the numerical results illustrate that the medium stiffness has significant influence on the buckling behaviors [30]. Lee explored the behaviors of buckling of tapered piles with constant shaft friction in heterogeneous soils by assuming linear lateral stiffness and found that there exists an optimal tapered ratio for a maximum buckling load factor [37]. To simplify the theoretical formulation, both linear lateral stiffness and linear lateral friction resistance are assumed, and the stability of a tapered friction pile in heterogeneous soils is studied by establishing a theoretical model in this paper. The influence of various geometric parameters and material properties, including boundary conditions, tapered ratio, stiffness ratio, friction ratio, lateral stiffness, and shaft friction, on the buckling behavior of fully embedded tapered friction piles is fully discussed
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