# 228-0231/04 – Structural mechanics (SM)

 Gurantor department Department of Structural Mechanics Credits 4 Subject guarantor doc. Ing. Petr Konečný, Ph.D. Subject version guarantor doc. Ing. Petr Konečný, Ph.D. Study level undergraduate or graduate Requirement Compulsory Year 2 Semester summer Study language English Year of introduction 2019/2020 Year of cancellation Intended for the faculties FAST Intended for study types Bachelor
Instruction secured by
HOR0218 Ing. Marie Horňáková, Ph.D.
KRA0017 Ing. Petr Král, 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 20+0

### Subject aims expressed by acquired skills and competences

Introduction to the solution of statically indetermined structures (beams, frames, trusses) using force and stiffness method. Introduction to planar and 3D structures.

Lectures
Tutorials

### 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.

### Compulsory literature:

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.

### Recommended literature:

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

### Way of continuous check of knowledge in the course of semester

Written and oral exam.

### Other requirements

Ability to partial self-study.

### Prerequisities

Subject has no prerequisities.

### Co-requisities

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

Full-time form (validity from: 2019/2020 Winter semester, validity until: 2022/2023 Winter semester)
Task nameType of taskMax. number of points
Min. number of pointsMax. počet pokusů
Credit and Examination Credit and Examination 100 (100) 51
Credit Credit 35  18
Examination Examination 65  35 3
Mandatory attendence participation: Mandatory active attendance in the practices is 70 percent. Knowledge of the topic discussed at the lectures is expected for activities in practices. Practice consist also from written test based on the conditions given by respective assistant professor in the first month of the semester.

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Conditions for subject completion and attendance at the exercises within ISP: Communication with the teacher and proof of knowledge.

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### Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2024/2025 (B0732A260002) Civil Engineering CIN K English Ostrava 2 Compulsory study plan
2024/2025 (B0732A260002) Civil Engineering CIN P English Ostrava 2 Compulsory study plan
2023/2024 (B0732A260002) Civil Engineering CIN K English Ostrava 2 Compulsory study plan
2023/2024 (B0732A260002) Civil Engineering CIN P English Ostrava 2 Compulsory study plan
2022/2023 (B0732A260002) Civil Engineering CIN P English Ostrava 2 Compulsory study plan
2022/2023 (B0732A260002) Civil Engineering CIN K English Ostrava 2 Compulsory study plan
2021/2022 (B0732A260002) Civil Engineering CIN P English Ostrava 2 Compulsory study plan
2021/2022 (B0732A260002) Civil Engineering CIN K English Ostrava 2 Compulsory study plan
2020/2021 (B0732A260002) Civil Engineering CIN P English Ostrava 2 Compulsory study plan
2020/2021 (B0732A260002) Civil Engineering CIN K English Ostrava 2 Compulsory study plan
2019/2020 (B0732A260002) Civil Engineering CIN P English Ostrava 2 Compulsory study plan
2019/2020 (B0732A260002) Civil Engineering CIN K English Ostrava 2 Compulsory study plan

### Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner