228-0923/01 – Reliability and safety of structures (SBS)

Gurantor departmentDepartment of Structural MechanicsCredits10
Subject guarantordoc. Ing. Petr Konečný, Ph.D.Subject version guarantordoc. Ing. Petr Konečný, Ph.D.
Study levelpostgraduateRequirementCompulsory
YearSemesterwinter + summer
Study languageCzech
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFASTIntended for study typesDoctoral
Instruction secured by
LoginNameTuitorTeacher giving lectures
KON09 doc. Ing. Petr Konečný, Ph.D.
KRE13 prof. Ing. Martin Krejsa, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Examination 2+0
Part-time Examination 28+0

Subject aims expressed by acquired skills and competences

The goal of the subject is deepening the knowledge of the theory of reliability of structures. Contain the introduction to the probabilistic approaches to the reliability assessment, serviceability and durability using the basic concepts of theory of reliability, probabilistic calculation and computer technology.

Teaching methods

Individual consultations


In this subject, students learn theoretical background and practical information about probabilistic assessment of load-carrying structures. For that purpose, they should master the probability and structure reliability theories. Students will learn to express variability of input quantities in a stochastic (probabilistic), for instance, by histograms. The methods for the solution of probabilistic tasks will be introduced. the differences between probabilistic approaches and the applicable standards and procedures which are based on deterministic expression of input quantities (using a single value – a constant).

Compulsory literature:

1. Melchers, R.E.: Structural Reliability Analysis and Prediction}. Second edition, John Wiley & Sons Ltd., England, 1999. (437 s) ISBN 0-471-98324-1. 2. TeReCo: Probabilistic Assessment of Structures using Monte Carlo Simulation, Background, Exercises and Software. Textbook and CD-ROM. ÚTAM AV ČR, Praha 2003. 2nd edition. ISBN 80-86246-19-1. 3. O. Ditlevsen and H.O. Madsen: Structural Reliability Methods, Technical University of Denmark, 2005.

Recommended literature:

1. FReET (Feasible Reliability Engineering Tool) - http://www.freet.cz/. 2. Simulation Based Reliability Assessment – SBRA - http://www.sbra-anthill.com/.

Way of continuous check of knowledge in the course of semester

Oral exam in the form of defence of individual work.


Other requirements

Ability to self-study


Subject has no prerequisities.


Subject has no co-requisities.

Subject syllabus:

Outline: 1. Introduction to the theory of probabilistic calculations and reliability of the constructions, the explanation of the reliability background of the standards for designing civil constructions (e.g. Eurocode), design and assessment uncertainty, limit states. 2. The basics of the probabilistic theory, random effects and their operations, conditional probability. 3. Random variable quantity (discrete and continuous), frequency and distribution functions, basic types of random probability distribution, characteristics of random variables. 4. Description of the random variable quantities, creation of the histogram, evaluation of the numerical sets. 5. Loads and load combination effects. 6. Idealized stochastic model with random variables, structural strength and load effect, reliability function, conditions of reliability, limit states and application in a stochastic model, calculation of the failure probability, design probability. 7. Approximation methods SORM, FORM. 8. Numerical simulation methods based on Monte Carlo method, generator of the pseudorandom numbers. 9. Numerical simulation methods – Latin Hypercube Sampling, Importance Sampling. 10. Numerical method Direct Optimized Probabilistic Calculation (DOProC), optimizing of the calculation. 11. Reliability software. 12. Probabilistic assessment of the lifetime of the structure, probabilistic optimizing of the structure, structures affected by material fatigue. 13. Random processes and random fields, advanced methods of reliability engineering (genetic algorithms, fuzzy set theory, chaos theory). 14. Introduction to the risk engineering.

Conditions for subject completion

Part-time form (validity from: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Examination Examination   3
Mandatory attendence participation:

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Conditions for subject completion and attendance at the exercises within ISP:

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Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2023/2024 (P0732D260004) Civil Engineering P Czech Ostrava Compulsory study plan
2023/2024 (P0732D260004) Civil Engineering K Czech Ostrava Compulsory study plan
2022/2023 (P0732D260004) Civil Engineering K Czech Ostrava Compulsory study plan
2022/2023 (P0732D260004) Civil Engineering P Czech Ostrava Compulsory study plan
2021/2022 (P0732D260004) Civil Engineering P Czech Ostrava Compulsory study plan
2021/2022 (P0732D260004) Civil Engineering K Czech Ostrava Compulsory study plan
2020/2021 (P0732D260004) Civil Engineering K Czech Ostrava Compulsory study plan
2020/2021 (P0732D260004) Civil Engineering P Czech Ostrava Compulsory study plan
2019/2020 (P0732D260004) Civil Engineering P Czech Ostrava Compulsory study plan
2019/2020 (P0732D260004) Civil Engineering K Czech Ostrava Compulsory study plan

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Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

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