The expediency of using probability-based approaches in the analysis of rolled and welded steel beams subjected to lateral torsional buckling is discussed. Buckling resisting moments and their mechanical uncertainties for rolled and equivalent welded flanged steel sections as particular members are analyzed. Time-dependent statistics of resisting and bending moments of steel beams is considered and their essential features are determined. Instantaneous and time-dependent survival probabilities of deteriorating and non-deteriorating steel beams in consecutive and cascade levels are also considered. Probabilistic design of steel beams with time-dependent stability is based on the generalized reliability index concept. Differences in design computation results of rolled and welded steel beams under lateral torsional buckling obtained by using the consecutive and cascade approaches are illustrated by a numerical example.
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The features of durability prediction and concepts of time-dependent reliability analysis of deteriorating reinforced concrete structures subjected to extreme gravity and lateral actions as rectangular pulse renewal processes are discussed. New methodological approaches to a time-dependent survival probability analysis and durability prediction of reinforced concrete members are considered. The safety margin of particular members is modeled as a random finite sequence. The effect of coincident recurrent extreme actions on their survival probabilities is analyzed. The instantaneous and long-term survival probabilities of particular and structural members of deteriorating structures are considered. It is recommended to calculate these probabilities by the unsophisticated analytical method of transformed conditional probabilities. The technical service life as a quantitative durability parameter of deteriorating structural members is studied.
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