# 228-0215/02 – Probabilistic Assessment of Structures (PPK)

 Gurantor department Department of Structural Mechanics Credits 5 Subject guarantor prof. Ing. Martin Krejsa, Ph.D. Subject version guarantor prof. Ing. Martin Krejsa, Ph.D. Study level undergraduate or graduate Requirement Compulsory Year 4 Semester winter Study language English Year of introduction 2010/2011 Year of cancellation 2020/2021 Intended for the faculties FAST Intended for study types Bachelor
Instruction secured by
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 Credit and Examination 2+2
Part-time Credit and Examination 16+0

### Subject aims expressed by acquired skills and competences

• Learning more about application of probabilistic methods in theory of structure reliability. • Providing detailed background to standards and regulations applicable to assessment of reliability of load-carrying structures. • Managing the use of software in application of probabilistic approaches to assessment of reliability of load-carrying structures.

Lectures
Tutorials

### Summary

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. The key feature of the probabilistic method is that it is possible to express variability of input quantities in a stochastic (probabilistic) form, for instance, by histograms. Unlike the applicable standards and procedures which are based on deterministic expression of input quantities (using a single value – a constant), the probabilistic methods provide more precise reliability assessment and improved safety for those who use the buildings and structures.

### 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/

### Other requirements

At least 70% attendance at the exercises. Absence, up to a maximum of 30%, must be excused and the apology must be accepted by the teacher (the teacher decides to recognize the reason for the excuse). Tasks assigned on the exercises must be hand in within the dates set by the teacher.

### Prerequisities

Subject codeAbbreviationTitleRequirement
228-0203 SSKII Statics of Building Structures II Recommended
228-0211 PPII Elasticity and plasticity II Recommended
228-0212 ZMKP Finite element method basics Recommended
228-0213 ZDK Basics of structural dynamics Recommended
228-0214 AIV Alghoritmisation of engineering computations Recommended

### Co-requisities

Subject has no co-requisities.

### Subject syllabus:

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.

### Conditions for subject completion

Full-time form (validity from: 2011/2012 Summer semester, validity until: 2020/2021 Summer semester)
Task nameType of taskMax. number of points
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
Exercises evaluation Credit 35  18
Examination Examination 65  32
Mandatory attendence parzicipation:

Show history

### Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2019/2020 (B3607) Civil Engineering (3607R030) Building Structures P English Ostrava 4 Compulsory study plan
2018/2019 (B3607) Civil Engineering (3607R030) Building Structures P English Ostrava 4 Compulsory study plan
2017/2018 (B3607) Civil Engineering (3607R030) Building Structures P English Ostrava 4 Compulsory study plan
2016/2017 (B3607) Civil Engineering (3607R030) Building Structures P English Ostrava 4 Compulsory study plan
2015/2016 (B3607) Civil Engineering (3607R030) Building Structures P English Ostrava 4 Compulsory study plan
2014/2015 (B3607) Civil Engineering (3607R030) Building Structures P English Ostrava 4 Compulsory study plan
2014/2015 (B3607) Civil Engineering (3607R030) Building Structures K English Ostrava 4 Compulsory study plan
2013/2014 (B3607) Civil Engineering (3607R030) Building Structures P Czech Ostrava 4 Compulsory study plan
2013/2014 (B3607) Civil Engineering (3607R030) Building Structures K Czech Ostrava 4 Compulsory study plan
2012/2013 (B3607) Civil Engineering (3607R030) Building Structures P Czech Ostrava 4 Compulsory study plan
2012/2013 (B3607) Civil Engineering (3607R030) Building Structures K Czech Ostrava 4 Compulsory study plan
2011/2012 (B3607) Civil Engineering (3607R030) Building Structures P Czech Ostrava 4 Compulsory study plan
2011/2012 (B3607) Civil Engineering (3607R030) Building Structures K Czech Ostrava 4 Compulsory study plan

### Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner