228-0231/03 – 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 | Czech |
Year of introduction | 2019/2020 | Year of cancellation | |
Intended for the faculties | FAST | Intended for study types | Bachelor |
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.
Teaching methods
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.
E-learning
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
Conditions for completion are defined only for particular subject version and form of study
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction