The article describes the experimental-theoretic method for the estimation of relative deformation of reinforced concrete column on the operation stage. The article also proposes methods for the calculation of reinforced concrete columns reliability on the strength criteria in condition of the single type of the stress plot of concrete column (compression). The offered methods take into account the incompleteness of statistical information. The article is intended for specialists in inspection and testing of reinforced concrete structures.

The article describes new methods of calculation of soil bases reliability (probability of non-failure) according to the load-bearing capacity criterion at the operation stage. The reliability of soil bases is considered as an integral part for assessing the overall operational reliability of buildings and structures, as well as for making a decision on the possibility and feasibility of reconstruction with increasing load. The proposed method of reliability calculation can be used to assess the reliability of load-bearing elements of the overhaul with replacement of parts of the building. The algorithm of the method of reliability calculation is presented in the numerical example of reliability calculation. 

The article discusses the problem of evaluation of safety of structures after seismic impacts. For the safety adopted the ultimate load and reliability of structures. The new methods proposed for evaluation of the ultimate loads and reliability for the main load-bearing elements of structures.

The article presents an approach to evaluation the reliability index of steel truss bars with the uncertainty of random variables expressed in the presence of information only about the bounds of variability. Different methods of estimating the bounds of variability for random variables are presented. The new approach is also developed using the provisions of the theory of possibility and the Dvoretzky–Kiefer–Wolfowitz inequality (DKW). The reliability index allows to compare various design solutions by the safety criterion, identify structural elements with the highest failure probability for monitoring the technical state and to quantify the increase in the safety level with strengthening of structural elements. The Monte Carlo statistical simulation data reflect the analogy of the non-probabilistic reliability index in the considered approach with the non-failure probability of the truss bar.