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The Scientific World Journal
Volume 2013 (2013), Article ID 267593, 13 pages
Research Article

The Use of the Direct Optimized Probabilistic Calculation Method in Design of Bolt Reinforcement for Underground and Mining Workings

1Department of Structural Mechanics, Faculty of Civil Engineering, VŠB-Technical University of Ostrava, 17 Listopadu 15, 708 33 Ostrava, Czech Republic
2Department of Geological Engineering, Faculty of Engineering, Cumhuriyet University, 58140 Sivas, Turkey
3Faculty of Mining and Geology, Institute of Geological Engineering, VŠB-Technical University of Ostrava, 17 Listopadu 15, 708 33 Ostrava, Czech Republic
4Department of Environmental Engineering, Faculty of Mining and Geology, VŠB-Technical University of Ostrava, 17 listopadu 15, 708 33 Ostrava, Czech Republic

Received 9 April 2013; Accepted 10 June 2013

Academic Editors: K. Nemeth and U. Tinivella

Copyright © 2013 Martin Krejsa et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.