Reliability of structures
ÚSI-RTSPOAcad. year: 2020/2021
The subject focuses on: the explanation of the reliability background of design standards (Eurocode), structural resistance and the influence of load as two independent variables, limit states and the philosophy of their design according to standards, theoretical probability of failure, reliability conditions, reliability margin, reliability index, Monte Carlo numerical simulation methods, Latin Hypercube Sampling, Importance Sampling, approximation methods (FORM), statistical methods, sensitivity analyses and probability analyses. Reliability software. Formulation and evaluation of the risk analyses of systems and structures from the perspective of reliability theory.
Learning outcomes of the course unit
Students will gain specialized and professional knowledge and skills to realize reliability analysis of selected problems.
Fundamentals of mathematical statistics and probability.
Recommended optional programme components
Recommended or required reading
TEPLÝ, B., NOVÁK, D.: Spolehlivost stavebních konstrukcí, CERM Brno, 1999 (skriptum)
MADSEN, H. O., KRENK, S.: Methods of Structural Safety, Prentice Hall, Englewood Cliffs, 1986
SCHNEIDER, J.: Introduction to safety and reliability, ETH Zuruch, 1996
THOFT-CHRISTENSEN P., BAKER, M. J.: Structural Reliability theory and its applications, Springer-Verlag, Berlin, 1982
VAP – Petchacher Consulting, STATREL – RCP Mnichov, FREET – Červenka Consulting, 2007
Planned learning activities and teaching methods
Tuition takes place via lectures and seminars. The lectures focus on the explanation of basic principles, the methods of the given discipline, problems and example solutions. The seminars mainly support practical mastery of the subject matter presented in lectures or assigned for individual study with the active participation of students.
Assesment methods and criteria linked to learning outcomes
The credit will be awarded on the basis of the preparation of a project, including a presentation.
Language of instruction
1. Introduction to reliability theory as an integral part of risk engineering, explaining the background of reliability standards
2. Limit states design and philosophy of the standards, risk assessment
3. Reliability standards: theoretical failure probability, reliability index
4. The statistical dependence of random variables
5. Approximate methods FORM and SORM
6. Numerical simulation Monte Carlo method, examples of applications
7. The role of the computational model, uncertainties in modeling, blunders
8. Numerical simulation method Latin Hypercube Sampling, Sampling importing
9. Statistical and sensitivity analysis, risk analysis of structures in terms of reliability theory
10. Stochastic processes and random fields - stochastic finite element method
11. Weibull theory of violation
12. Current software reliability
13. Software Reliability - addition, conclusion, and recapitulate.
The aim is to gain knowledge and skills to the reliability of reliability analysis using the software.
Specification of controlled education, way of implementation and compensation for absences