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 |
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.
Teaching methods
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:
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
E-learning
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
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
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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