This paper concerns an influence of the imprecise manufacturing or improper assembling processes of supporting and loading heads on transversal displacements, bending moments and axial force distribution of a column consisted of two rods, where one of rods is a stiffening element. The problem has been formulated by means of the principle of stationary total potential energy, the von Karman theory and linear constitutive equations for column material. The results of numerical calculation have shown how important it is to provide the axial load of the beams and columns.
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The problem of a particular type of loading upon slender systems is presented in the work. This type of loading was invented in the Częstochowa Technical University. The loading gives a specific course of a curve in the load - natural frequency plane. A theoretical solution concerning boundary conditions for a column upon a generalised load towards a positive pole is also presented.
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