According to calculation of reliability of elements of steel constructions of storage capacities

Problem statement. This paper deals with is the solution of the problem of stochastic calculation of elements of the steel capacities for grain storage. The stochastic nature of external influences and strength indicators of steel was taken into account at the same time. There were considered the elements that work for a simple tension or compression in one plane, central compression, or axial force with the moment. The law of random value's distribution of the strength characteristics of steel corresponds to the normal law. For a random value of the generalized effort the shape of the distribution curve was taken, depending on the type of external influences. The pressure of the bulk material on the body wall was schematized by a normal distribution. The influence of snow and wind loads was schematized by the double exponential distribution of Gumbel. The boundary calculated inequality was expressed through the dimensionless coefficient of the critical factor. The calculation was carried out accordingly to the classical methods of stochastic theory and mathematical statistics. Also, it was proposed an alternative solution of the problem by direct modeling of random values. The approximate expressions for the most complex functional dependencies were used. They include the expression of the coefficient of longitudinal bending as a function of the element's flexibility, the yield strength of steel, the type of the stability curve, the dependence of the stability coefficient under the eccentric compression from the conditional flexibility and relative reduced eccentricity. To determine the probability of trouble-free operation, it was investigated not the distribution function itself, but only the probability values, when the critical factor is approached to one. Purpose. To obtain a dependence for the reliability function. It should have a mathematically simple expression and be suitable for the engineering use. Conclusion. It was proved that traditional methods for determining the elements' reliability of the storage capacity could not be used, because of the complexity of mathematical manipulations and the large amount of calculation. Within a single approach in a fully analytical form, it was solved the problem of stochastic calculation of elements of the steel constructions, which work for the tension or compression in one plane, compressed and bend, or under the condition of pure bending.