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This paper presents probabilistic models for mechanical properties of pre-cast and cast-on-site concrete as well as of reinforcing and pre-stressing steel. An extended review of models available in the literature is made and new probabilistic models are developed based on a significant amount of data collected by the authors. New probabilistic models are proposed for concrete ultimate strength (separately for precast and cast-inplace concretes), for yield and ultimate strength of reinforcing steel and for proportionality limit and ultimate strength of pre-stressing steel. The new models account for a recent improvement of production and are more appropriate for the probabilistic assessment of modern concrete structures then the models available in the literature. IntroductionThe theoretical models describing structural behaviour of reinforced or pre-stressed concrete structures requires basic information about the structure geometry (dimensions of the cross-section, position of the reinforcement, eccentricities, etc.) and about mechanical properties of the materials (compressive strength of concrete, yielding strength of reinforcing steel, proportionality limits of pre-stressing steel, etc.). The structure geometry and the mechanical properties of materials composing the structure have a random nature and should be treated as random variables. Consequently, in order to describe accurately the structural behaviour of the reinforced or pre-stressed concrete structure complete probabilistic models (probability distribution function and basic statistics) of those variables are indispensable. This paper presents the probabilistic models of basic mechanical properties of concretes (pre-cast and cast-on-site) and steel (reinforcing and pre-stressing). An extensive review of models available in the literature is made. However, the major focus is placed on the new probabilistic models developed based on data collected by the authors.

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