Statistical characteristics of strength distribution of normal sections of bended reinforced concrete elements and their analysis

Abstract

The results of simulation of stochastic corrosion of reinforcement and geometrical characteristics of normal rectangular cross-sections of bent concrete reinforced concrete statically determined beams (elements) with reinforcement on one level in the stretched concrete zone are given. It is proved that in solving the problems of the reliability of such structures, the real histograms are described by various statistical laws. It was also established that considering the effects of corrosion is important for determining the real statistical law of the distribution of the corrosion damage stage in various materials. Parameters of the variation of the variability of the normal section of the considered reinforced concrete structures differ depending on the initial parameter of the variability of reinforcement corrosion damage. The histogram of stress distribution in the reinforcement of the reinforced concrete element and the strength of its normal cross-section do not correspond to the histograms of normal distribution. The use of the Gauss distribution law when determining the strength of a normal section of a bent concrete element, considering the effect of corrosion, can lead to significant inaccuracies in determining the reliability parameters of such structures. Failure to consider sufficiently large asymmetry and excessive values for the resulting statistical distribution laws can lead to significant errors in solving the reliability problems of such structures.