Abstract
The load-carrying system of each construction should fulfill several conditions which represent reliable criteria in the assessment procedure. It is the theory of structural reliability which determines probability of keeping required properties of constructions. Using this theory, it is possible to apply probabilistic computations based on the probability theory and mathematic statistics. Development of those methods has become more and more popular; it is used, in particular, in designs of load-carrying structures with the required level or reliability when at least some input variables in the design are random. The objective of this paper is to indicate the current scope which might be covered by the new method—Direct Optimized Probabilistic Calculation (DOProC) in assessments of reliability of load-carrying structures. DOProC uses a purely numerical approach without any simulation techniques. This provides more accurate solutions to probabilistic tasks, and, in some cases, such approach results in considerably faster completion of computations. DOProC can be used to solve efficiently a number of probabilistic computations. A very good sphere of application for DOProC is the assessment of the bolt reinforcement in the underground and mining workings. For the purposes above, a special software application—“Anchor”—has been developed.
Highlights
The designing process, assessment of the reliability, and individual stages of production, assembly, or operation of the underground structure are affected by many uncertainties which influence reliability of such constructions by its random nature which cannot be neglected
If the histogram classes are represented by only one value, the original distribution of the random quantity probability is approximated by discrete distribution of the probabilities (Figures 1(b) and 1(c)) which are used in Direct Optimized Probabilistic Calculation (DOProC) calculations
The response surface method [9, 10] is one of the approximation methods. Both the original method and the new method which are under development —the Direct Optimized Probabilistic Calculation (DOProC)—use a purely numerical approach and basics of the probabilistic calculation without any simulation techniques to solve (4)
Summary
The designing process, assessment of the reliability, and individual stages of production, assembly, or operation of the underground structure are affected by many uncertainties which influence reliability of such constructions by its random nature which cannot be neglected. This means that the design and implementation processes start being affected by variability of features of the buildings and facilities. Unlike the applicable standards and procedures which are based on deterministic expression of input quantities (using a single value—a constant), the probabilistic methods provide more precise reliability assessment and improved safety for those who use the buildings and structures
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