Practical tasks of probability calculation of the elements of steel silos

Problem statement. The use of probability methods in engineering practice is currently insufficient. This is hindered by the need to use a specific area of knowledge, such as the theory of random processes, mathematical statistics, the theory of reliability of buildings and structures, etc. However, the quantitative calculation of reliability indicators is a necessary moment in the process of building any construction. The level of reliability should be substantiated in the regulatory documents and directly applied in the process of design activities. Considering this, the research focuses exclusively on obtaining a quantitative estimate of the probability of failure-free operation for separate elements of steel storage capacities. This was done in accordance with the author's methodology and the main features of probability calculation. At the same time, the model of reliability function completely corresponds to the probability nature of constant and technological loads. For elements of steel storage capacities representing a random value of generalized strength is realized by a normal distribution law. For snow and wind loads, which are described by the method of random processes, it is used a technique that allows to proceed from the study of the whole process to the consideration of only its maximums, which are described by the double exponential distribution of Humbel. The example of solving practical problems will provide visibility to the performed research and will help the ordinary specialist to approach to the mastering of probabilistic calculations. Purpose. To provide an analytically simple algorithm for determining the level of reliability of elements of steel storage capacities or for solving other related problems of probability calculation of the given type of structures. On the basis of practical examples to illustrate the procedure of solving problems of this type and acquaint the engineer with the elementary principles of calculating for reliability the elements of steel construction of the storage capacities. Conclusion. On the basis of the unified approach and using the approximating expressions and concise mathematical calculations, a generalized algorithm for analytic probability calculation of elements of steel storage capacities is represented. Accordingly to formulas, it was made a numerical calculation of the probability of a failure-free operation, the reliability of the circular stiffener of the cylindrical capacity and it was solved the practical problem of the selection of the cross-section radial stiffener, according to the given level of the normative probability of work.