Abstract
The article is devoted to the issues of assessing the level of reliability of options for strengthening building metal structures using mathematical models of the probability of their uninterrupted operation. The increasing requirements for the structural safety of building metal structures, the need to use justified mathematical calculations confirming their performance and safety, taking into account various reinforcement options determine the relevance of this study. The content of the article is based on the platform of the theoretical basis for the design of reinforcement of metal structures. It is predetermined by the subsequent synthesis of innovative solutions in assessing the level of reliability building structures taking into account the use of mathematical modeling of the probability of uninterrupted operation. The article presents an analysis of the problem points of using the probabilistic method for calculating the level of reliability of building metal structures. This allows to assess the compliance of the existing loads with standard values and guarantee the reliable operation of building metal structures. The characteristics that influence the assessment of the level of reliability of options for strengthening building metal structures using mathematical modeling are highlighted. A critical review of the amplification options from the point of view of the use of mathematical models of the probability of the operation of a metal structure is presented. Attention is focused on the construction of an optimization mathematical model of the bearing capacity of a metal structure using probability theory, Gram-Charlier series, Gumbel's law, Weibull's law. An example of strengthening of a load-bearing truss using a mathematical model for assessing the level of reliability of a metal structure is described. The proposed option will improve the safety, bearing capacity of the structure while ensuring the perception of the maximum possible load and at the same time will reduce the cost of this type of structure in construction.
Highlights
The article is devoted to the issues of assessing the level of reliability of options for strengthening building metal structures using mathematical models of the probability of their uninterrupted operation
It is predetermined by the subsequent synthesis of innovative solutions in assessing the level of reliability building structures taking into account the use of mathematical modeling of the probability of uninterrupted operation
The characteristics that influence the assessment of the level of reliability of options for strengthening building metal structures using mathematical modeling are highlighted
Summary
2. Abakumov R.G., Naumov A.E. uilding information model: advantages, tools and adoption efficiency // IOP Conference Series: Materials Science and Engineering. Abakumov R.G., Avilova I.P., Ursu I.V., Kapustina E.O. Methodical Toolkit of Managing Reproduction of the Fixed Assets of an Organization // *Abakumov R.G., Al-Sabaeei A.K. Belgorod State Technological University.
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