Reliability and Safety of Building Structures

1. Introduction to theory of reliability and probabilistic computations.
2. Basics of probabilistic theory.
3. Random variable, probability distribution, (discrete and continuous).
4. Characterization, preparation and evaluation of random variables described by histograms.
5. Loading and load effect combinations of civil engineering structures.
6. Computational stochastic model featuring random variables (including description of resistance, load effects, reliability function, reliability conditions, limit states, computation of probability of failure, design probability).
7. Approximate methods SORM, FORM.
8. Monte Carlo numerical simulation method, pseudorandom number generator.
9. Enhanced Monte Carlo simulation methods: Latin Hypercube Sampling, Importance Sampling.
10. Numerical method Direct Optimalized Probabilistic Solution, types of optimalization.
11. Computational tools.
12. Probabilistic durability estimation, probabilistic optimalization, fatigue.
13. Random processes and fields, sophisticated reliability engineering methods (genetic algorithms, fuzzy sets, chaos theory).
14. Introduction to risk engineering