Stochastic Description of Loads on the Steel Storage Capacities

Abstract

This paper deals with the study of stochastic parameters of external loads, which are used in the tasks of determining the level of reliability of steel storage capacities. To describe the random load process, the normal law and the double exponential distribution of Gumbel were used. It was formulated the technique of transition from the study of the entire random process to the consideration of its maximums. It was obtained quantitative values of the stochastic characteristics of snow and wind loads on the territory of Ukraine, without reference to the zoning maps. A general procedure for determining the probability of failure was formulated, depending from a given characteristic maximum. This index corresponds to the basic level of load. The average intersection of this level by a random load process is equal to one. Analytical formulas are obtained to determine the scale and position of the double exponential distribution of Gumbel, which depend on the characteristic maximum, as well as formulas, which help to calculate the statistical characteristics (standard, expected value and coefficient of variation) of the random value of the load maximums. The possibility of using this approach is theoretically confirmed when the density distribution of the ordinate of a random process follows the normal law. It was proposed expressions for the parameters of the distribution maximums of the random processes, which are described by the polynomial exponent and the Weibull law.

Creation of design models of silos for grain storage under conditions of non‐axisymmetric actions

“…The second option is better in terms of a compromise between accuracy and speed of analysis. However, it has some difficulties and features in practical implementation [4][5], for example, the assignment of effective cross-sections to the rod elements or modelling the eccentric fastening of vertical stiffeners to the sinusoidal corrugated sheets of the silo walls. This article describes the authors' experience creating finite element models of grain storage silos in the context of the two problems mentioned above.…”

“…This approach is not the newest. For example, it is the basis for the codification of wind actions on the silo walls in EN [7] and the process of aerodynamic test data [4]. However, in finite element analysis problems, such an approach is not entirely practical because if a slight adjustment of the load is necessary, it has to be set again.…”