The article deals with the method of probability calculation for seismic stability with the use of stochastic linear equation, the solution of which is carried out by the method of canonical expansion. The obtained expressions for the spectral output density and dynamic coefficient are given.

Keywords: probability calculation, the method of canonical expansions, seismicity, dynamic factor, stochastic equation

In the article the results of research in probabilistic production of residual life of load-bearing structures of the coating of the main body R-1 JSC «VOLTAIR-PROM» as a multiple redundant system. The obtained function of the probability of exceeding the design values of snow loads during the operation of the building on the basis of statistical data the distribution of annual maxima. The resulting probability of system failure ""post farm - truss"" given the decline in reserve strength and the likelihood of exceeding the snow load specified level in time. It is shown that the defining characteristics of residual life - probability of failure and the average uptime of the system can be obtained using only the first two statistical moments of the design variables - mathematical expectation and coefficient of variation that does not require extensive statistical data.

Keywords: residual reserves of strength, safety feature, the distribution, reliability, multi-element system, the probability of failure

The article presents the research results of the actual snow load and its security on the basis of the statistical data distribution of the annual maximum water storage in snow, obtained at the weather station Kolomna. The analysis of the implementation of the annual maxima of snow load according to data from 13 weather station located in different snow areas. Indentified all necessary statistical characteristics of the snow load, and the parameters of the law of Gumbel distribution for each snow district. The results of the research concluded that the known desing values of snow loads given in normative documents can be quite simple to obtain the statistical moments of a random variable its one-year highs and the parameters of the Gumbel law. The obtained characteristics are the initial data when conducting a probabilistic analysis of structures and evaluation of their safety and durability.

Keywords: snow load, distribution, annual maximums, the snow line measurements, weather station, security