| Course Unit Code | 228-0231/02 |
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| Number of ECTS Credits Allocated | 5 ECTS credits |
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| Type of Course Unit * | Choice-compulsory |
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| Level of Course Unit * | First Cycle |
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| Year of Study * | |
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| Semester when the Course Unit is delivered | Summer Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | English |
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| Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester |
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| Name of Lecturer(s) | Personal ID | Name |
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| HOR0218 | Ing. Marie Horňáková, Ph.D. |
| Summary |
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The students are familiarized with the computation of displacement of statically determined structures using virtual forces in this subject. The computation of statically indetermined beams, frames and trusses using force and subsequently stiffness method is introduced and practiced next. Students also learn how to determine the degree static and deformation indeterminacy. The basic knowledge necessary to solve the planar task, subsoil models and dynamics for civil engineers s are provided as well. Students also gain skills to solve planar frames, slabs and walls using suitable software. The practices are conducted in PC labs.
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| Learning Outcomes of the Course Unit |
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| Introduction to the solution of statically indetermined structures (beams, frames, trusses) using force and stiffness method. Introduction to planar and 3D structures. |
| Course Contents |
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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.
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| Recommended or Required Reading |
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| Required Reading: |
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1. Felippa, C.A., Introduction to Finite Element Method. Fall 2001. University of Colorado. 18 Sept. 2005.
https://www.colorado.edu/engineering/CAS/courses.d/IFEM.d/
2. Zienkiewicz, O.C. and Taylor, R.L. The Finite Element Method: Its Basis and Fundamentals, Seventh Edition, Butterworth-Heinemann, 2000. |
1. Kadlčák, J., Kytýr, J.: Statika stavebních konstrukcí II., VUTIUM Brno, 2004.
2. Teplý, B., Šmířák, S.: Pružnost a plasticita II. VUT Brno, 1993. dotisk CERN, 2000. |
| Recommended Reading: |
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1. Gere, Timoshenko: Mechanics of materials, PWS-Kent, Boston, 1990
2. SCIA online tutorials: http://www.scia-online.cz/index.php?typ=CDA&showid=806 |
1. Koubová, L., Konečný, P.: Statika stavebních konstrukcí II - podklady do cvičení. VŠB-TU Ostrava 2013.
2. SCIA online tutoriály: http://www.scia-online.cz/index.php?typ=CDA&showid=806
3. Melcer, J. – Kuchařová, D.: Dynamika stavebných konštrukcií - príklady. EDIS ŽU Žilina, 2004
4. Benda, J.> Stavební statika I. VŠB-TU Ostrava, 2005. |
| Planned learning activities and teaching methods |
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| Lectures, Tutorials |
| Assesment methods and criteria |
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| Tasks are not Defined |