Course Details

Theory of Structures Reliability

Academic Year 2024/25

NDA029 course is part of 1 study plan

NPC-SIK Summer Semester 1st year

Course Guarantor


Language of instruction



4 credits



Forms and criteria of assessment

course-unit credit and examination

Offered to foreign students

Not to offer

Course on BUT site


13 weeks, 2 hours/week, elective


1. Introduction of reliability theory, reliability background of standards for structural design (Eurocodes), structural resistance and load action as two independent random variables, reliability condition, reserve of reliability. 2. Limit state and philosophy of design by standards. 3. Reliability standards: theoretical failure probability, reliability index. 4. Aproximation methods FORM a SORM. 5. Numerical simulation method Monte Carlo in applications. 6. Computation model, model uncertainty, grosses errors. 7. Numerical simulation methods Latine Hypercube Sampling, Importace Sampling in applications. 8. Random process and random fields – Stochastic finite element methods and these applications. 9. Probabilistic optimization, problems of live-time of structures. 10. Weibull theory. 11. Unbalanced levels of the failure probability of the structures designed by standards, option of input variability modelling. l2. Introduction of Risk engineering. 13. Reliability software – summary and conclusion.


13 weeks, 2 hours/week, compulsory


1. Statistical evaluation of random variable. 2. Recapitulation of probability and statistics using simple examples. 3. Examples on usage of Cornell reliability index. 4. Simple example to learn Monte Carlo simulation method using Excel. 5. Calculations of failure probability via Latin Hypercube Sampling in Excel. 6. More complex examples on simulation methods using Excel. 7. Evaluation of previous examples in Freet. 8. Failure probability estimation using FORM method (First Order reliability Method). 9. Calculation of failure probability using Importance Sampling. 10. Introduction to individual semestral project. 11.–13. Work on individual semestral projects.