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Structural mechanics

* Exchange students do not have to consider this information when selecting suitable courses for an exchange stay.

Course Unit Code228-0231/01
Number of ECTS Credits Allocated5 ECTS credits
Type of Course Unit *Compulsory
Level of Course Unit *First Cycle
Year of Study *Second Year
Semester when the Course Unit is deliveredSummer Semester
Mode of DeliveryFace-to-face
Language of InstructionCzech
Prerequisites and Co-Requisites Course succeeds to compulsory courses of previous semester
Name of Lecturer(s)Personal IDName
KON09doc. Ing. Petr Konečný, Ph.D.
Summary
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.

Learning Outcomes of the Course Unit
Introduction to the solution of statically indetermined structures (beams, frames, trusses) using force and stiffness method. Introduction to planar and 3D structures.
Course Contents
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.
Recommended or Required Reading
Required Reading:
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:
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
Lectures, Tutorials
Assesment methods and criteria
Task TitleTask TypeMaximum Number of Points
(Act. for Subtasks)
Minimum Number of Points for Task Passing
Credit and ExaminationCredit and Examination100 (100)51
        CreditCredit35 18
        ExaminationExamination65 30