The analysis of the collapses of buildings and structures that have occurred in recent decades, as well as the results of experimental studies, shows that a sudden failure of a column of the load-bearing system of a building leads to dynamic effect on structures adjacent to the site of initial local destruction. In this case, the columns adjacent to the site of the initial local destruction can be subjected to the simultaneous action of the axial shock loading and the lateral displacement of the support nodes. In this regard, the subject of the paper is the dynamic behavior of a reinforced concrete column under axial-lateral impact. The paper proposes an analytical solution to the differential equation of the axial-lateral buckling of a reinforced concrete column under accidental impact caused by a sudden structural transformation of the load-bearing system. Nonlinear behavior of material and energy dissipation due to damping have been considered. As a criterion for the bearing capacity assessment, the achievement of zero resistance is accepted, i.e., the ability of cross-section to resist the increment of forces along the height of the column. The results of numerical modeling are compared with the experimental data for lateral displacement obtained by the authors for the model of a two-story reinforced concrete frame with slender columns. The obtained analytical solution allows approximate evaluation the progressive collapse behavior of eccentrically compressed reinforced concrete columns.
The analysis of the collapses of buildings and structures that have occurred in recent decades, as well as the results of experimental studies, shows that a sudden failure of a column of the load-bearing system of a building leads to dynamic effect on structures adjacent to the site of initial local destruction. In this case, the columns adjacent to the site of the initial local destruction can be subjected to the simultaneous action of the axial shock loading and the lateral displacement of the support nodes. In this regard, the subject of the paper is the dynamic behavior of a reinforced concrete column under axial-lateral impact. The paper proposes an analytical solution to the differential equation of the axial-lateral buckling of a reinforced concrete column under accidental impact caused by a sudden structural transformation of the load-bearing system. Nonlinear behavior of material and energy dissipation due to damping have been considered. As a criterion for the bearing capacity assessment, the achievement of zero resistance is accepted, i.e., the ability of cross-section to resist the increment of forces along the height of the column. The results of numerical modeling are compared with the experimental data for lateral displacement obtained by the authors for the model of a two-story reinforced concrete frame with slender columns. The obtained analytical solution allows approximate evaluation the progressive collapse behavior of eccentrically compressed reinforced concrete columns.
A number of accidents, such as the partial collapse of a residential building in Surfside on June 24, 2021, or the collapse of the roof structure of Basmanny Market in Moscow on February 23, 2006, show that aggressive medium impacts on reinforced concrete structures lead over time to a decrease in their strength resistance resource under accidental impacts. At the same time, the investigations in this field mainly deal with structural members under bending, while eccentrically compressed and corroded reinforced concrete members have been considered either in particular aspects or the obtained solutions are rather complicated for their practical application. In this regard, the purpose of the article was to assess the influence of the corroded depth on the load capacity of eccentrically compressed reinforced concrete columns of structural frames, as well as to predict the time of exhaustion of their load capacity under constant serviceable loads. The paper adopted the phenomenological model of V.M. Bondarenko to take into account long-term corrosion processes. It had been established that an increase in the corroded depth leads to a decrease in the load capacity of eccentrically compressed reinforced concrete members due to a decrease in the effective cross-sectional depth and effective slenderness ratio. The relative depth of the destroyed concrete varies depending on the current stress-strain state of the structural member. The time to reach the critical corroded depth depends significantly on the parameters of aggressive medium and the stress-strain state of the structural member and may differ by several times when implementing avalanche or descending damage kinetics.
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