Course Details

Theory of Reliability

Academic Year 2024/25

NDB020 course is part of 1 study plan

NPC-SIS Summer Semester 1st year

Course Guarantor


Language of instruction



3 credits



Forms and criteria of assessment

graded course-unit credit

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. Aproximační metody 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, use of statistics and sensitivity analysis for design of structures and verification and calibration of standards design procedures. 10. Imperfections analysis and this influence to failure of steel structures. l1. Unbalanced of the failure probability of the structures designed by standards, option of input variability modelling. 12. Introduction of Risk engineering. 13. Reliability software – replenishment, conclusion and recapitulate.


13 weeks, 1 hours/week, compulsory


1. Recapitulation of probability and statistics using simple examples. 2. Examples on usage of Cornell reliability index. 3. Simple example to learn Monte Carlo simulation method using Excel. 4. Calculations of failure probability via Latin Hypercube Sampling in Excel. 5. Introduction to individual semestral project. 6.–7. Work on individual semestral projects.