Classical pile buckling analysis commonly relies on Engesser’s solution, which assumes a uniform lateral support stiffness along the embedded pile length. While this analytical approach is useful for rapid checks and conceptual understanding, its applicability is limited to idealized soil conditions. In practice, soil stiffness varies with depth and is often characterized by layered profiles in which weak strata of finite thickness are interbedded with stronger layers. In such cases, the governing buckling behavior is controlled not by an average stiffness value, but by the spatial variation of soil stiffness and the corresponding deformation modes of the pile. PBuckle.V0 addresses these limitations through a finite element–based formulation that allows depth-dependent lateral stiffness defined directly by the user, supports piecewise-constant or linearly interpolated stiffness profiles, explicitly captures local buckling modes triggered by weak layers, and accurately identifies the true minimum critical buckling load—even when it occurs at a higher buckling mode rather than the first mode.
PBuckle.V0 is provided as an engineering analysis and research tool intended to support understanding of pile buckling behavior under idealized modeling assumptions. While care has been taken in the development and verification of the program, the results produced are dependent on user input, modeling choices, and assumptions regarding soil and structural behavior. The software does not replace professional engineering judgment, independent verification, or project-specific design checks. Any use of PBuckle.V0 in engineering projects is undertaken at the user’s own responsibility and accountability, and the developer assumes no liability for the application of the results in design, construction, or decision-making processes.
Find the application following the link
https://drive.google.com/file/d/1Gy3PBlHYF4huelK8u9lil0M8_9oPlyst/view?usp=drive_link
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