Abstract
The Direct Optimized Probabilistic Calculation method - DOProC - deals with probabilistic tasks where certain input quantities are of a random nature. DOProC is typically used in probabilistic reliability assessment of load carrying structures. DOProC can be also employed in probabilistic designs of structural elements with the specified reliability. In many cases, this calculation method is very efficient and provides accurate estimates of resulting probabilities. DOProC has been successfully applied, among others, in the probabilistic calculation of fatigue cracks in steel structures and bridges which are subject to cyclical loads. The software used for that purpose, FCProbCalc, makes it possible to monitor efficiently and operatively development of fatigue damage to the structure and to specify times for service inspection. This means, the structure is compliant and well suited for operation in terms of fatigue damage. The methods and application can considerably improve estimation of maintenance costs for the structures and bridges subject to cyclical loads.