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Structural Engineering and Mechanics
  Volume 24, Number 2, September30 2006, pages 247-268

Buckling analysis of partially embedded pile in elastic soil using differential transform method
Seval Catal and Hikmet Huseyin Catal

    The parts of pile, above the soil and embedded in the soil are called the first region and second region, respectively. The forth order differential equations of both region for critical buckling load of partially embedded pile with shear deformation are obtained using the small-displacement theory and Winkler hypothesis. It is assumed that the behavior of material of the pile is linear-elastic and that axial force along the pile length and modulus of subgrade reaction for the second region to be constant. Shear effect is included in the differential equations by considering shear deformation in the second derivative of the elastic curve function. Critical buckling loads of the pile are calculated for by differential transform method (DTM) and analytical method, results are given in tables and variation of critical buckling loads corresponding to relative stiffness of the pile are presented in graphs.
Key Words
    static stability; differential transform method; critical buckling load; partially embedded pile; non-trivial solution.
Dokuz EylŸl University, Civil Engineering Department, Engineering Faculty, 35160, Buca, ezmir, Turkey

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