The
paper presents results of the investigation of the smallest steel model
permitting to take into
consideration
the viscoelastic properties of steel in
stability analysis. Using Laplace transformation and the viscoelastic analogy,
constitutive differential equations are derived for the buckling of
compressed bars of the M/V model, taking into
consideration the influence of transverse
forces. Formulas are derived for the estimation of the durable and shock
critical load capacity of compressed bars, the temporary transverse
dislocations for loads contained in the range between a durable and a shock
critical load capacity, as well as the warning time from the moment of overload
P > Nkr to the catastrophe caused by
the exhaustion of material strength.