In order to study the stability of the pile partially embedded in elastic foundation, the soil modulus was assumed to have power distribution along the length of piles. 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. used the cusp catastrophe theory, investigated the stability of a pile under various boundary conditions, and obtained the critical load for the pile buckling. An elastic Winkler foundation with spring stiffness varying linearly with depth was established to explore the stability of a pile and the bearing capacity of the pile and buckling modes were presented. Reddy and Valsangkar used the energy method to analyze the buckling of piles and obtained the bearing capacity of piles. explored the stability in the pile-soil system under various constraints. Based on the Winkler foundation model, Davison et al. Winkler foundation model by Hetenyi has been widely used in buckling analysis of pile subjected to lateral loads from the soil foundation.
Tapered columns softp softplan 2016 series#
The classical method is to assume that the effect of elastic foundation on the pile embedded in it is simplified to a series of springs along the pile length. Modeling the interaction between embedded piles and soils is very crucial in the analysis of pile stability and dynamic behaviors. In the field of buckling behaviors of piles, a lot of research work has been carried out in-depth. In addition, in the engineering design of piles, it is generally assumed that the buckling instability of piles is not considered when they are fully embedded, but this general design principles are no longer valid when the cross-section of piles has a high bearing capacity or stress. Especially when the foundation soil is very soft and the pile is slender, the compressed pile is prone to destabilization under the action of axial force, and it is necessary to analyze the destabilization. Because slender piles are prone to buckling and instability, it is a key problem in geotechnical engineering design. In recent years, buckling behaviors have drawn considerable attention in microtubules, fiber-reinforced composites, pipelines on seabeds, plant roots growing in soil, packaged DNA in viruses, silicon nanowire attached to a soil substrate, and coil tubing in oil-field operations. Piles are often subjected to large axial compressive loads from the road and bridge and can buckle, even when embedded inside an soft elastomeric matrix. 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. 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. The result means that the linear shaft friction should be considered in designing the tapered friction piles in heterogeneous soils. There exists an optimal tapered ratio corresponding to the maximum dimensionless buckling load in the tapered friction pile with linear shaft friction. This study demonstrates that the buckling load decreases with the increase of friction ratio of the linear shaft friction. 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.
Tapered columns softp softplan 2016 software#
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. 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.
The buckling instability of long slender piles in soft soils is a key consideration in geoengineering design.
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