Buckling of column with base attached to elastic half-space

Buckling of a heavy elastic column loaded by a concentrated force at the to p is analyzed. It is assumed that the base of the column is fixed to a rigi d circular plate that is positioned on a homogeneous, isotropic, linearly e lastic half-space. The plate has adhesive contact with the half-space. The constitutive equations for the column are assumed in the form that allows a xial compressibility and takes into account the influence of shear stresses . It is shown that eigenvalues of the linearized equations determine the bi furcation points of the full nonlinear system of equilibrium equations. The type of bifurcation at the lowest eigenvalue is examined and is shown that it could be super- or subcritical. The postcritical shape of the column is determined by numerical integration of the equilibrium equations.