228-0212/01 – Finite element method basics (ZMKP)

Gurantor departmentDepartment of Structural MechanicsCredits5
Subject guarantorprof. Ing. Jiří Brožovský, Ph.D.Subject version guarantorprof. Ing. Jiří Brožovský, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year3Semestersummer
Study languageCzech
Year of introduction2010/2011Year of cancellation
Intended for the facultiesFASTIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
BRO12 prof. Ing. Jiří Brožovský, Ph.D.
KON09 doc. Ing. Petr Konečný, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2

Subject aims expressed by acquired skills and competences

Understanding of basic principles of the finite element method. Ability to create simple computational programs which use finite element method. Ability to apply the method for structural mechanics problems.

Teaching methods

Lectures
Tutorials

Summary

Basic principles of the method. Derivation of simple finite elements. Use of finite element method for typical structural mechanics problems. Relation between Rith method and the finite element method. Principles of modelling. Verificatio of results.

Compulsory literature:

1. Cook R. D. et al., Concepts and Applications of Finite Element Analysis, John Wiley & Sons, 1989

Recommended literature:

1. Zienkiewicz, O. C., Taylor, R. L., Zhu: The Finite Element Method: Its Basics and Fundamentals, Butterworth-Heinemann, Burlinghton, 2005 2. Cook R. D. , Finite Element Modeling for Stress Analysis, John Wiley & Sons, 1995

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

Subject codeAbbreviationTitleRequirement
228-0203 SSKII Statics of Building Structures II Recommended
228-0211 PPII Elasticity and plasticity II Recommended

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Lectures 1. Variational methods in theory of elasticity, Ritz method 2. Basic principles of the finite element method. 3. Alghoritm ot the method. 4. Frame structures. 5. Plane problem: introduction. 6. Plane problem: types of problems, solution, interpretation of results. 7. Thin slabs - introduction. 8. Thin slabs (Kirchhoff theory). 9. Thick slabs (Mindlin theory). 10. Slabs on elastic fundament. 11. Shells - introduction. 12. Shells. 13. Volumes (3D finite elements) 14. Comparison on 1D, 2D, 3D elements. Seminaries: 1. Repeating of structural mechanics and elasticity. 2. Ritz method on beams - indroduction. 3. Ritz method. 4. Link element - basic computational procedures. 5. Link element - complex example. 6. Constant strain triangle element - preparation. 7. Constant strain triangle - plane stress problem. 8. Constant strain triangle - plane strain. 9. Direct displacement load, elastic supports - inclusion into FEM routine. 10. Direct displacement load, elastic supports - custom example. 11. Combination of more finite element types in one model. 12. Modelling of loads - comparison of approaches. 13. Individual projects - consultations. 14. Final presentation of individual projects.

Conditions for subject completion

Full-time form (validity from: 2012/2013 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
        Exercises evaluation Credit 35  18
        Examination Examination 65  16
Mandatory attendence parzicipation:

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Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2021/2022 (B3607) Civil Engineering (3607R037) Building Constructions P Czech Ostrava 3 Compulsory study plan
2020/2021 (B3607) Civil Engineering (3607R037) Building Constructions P Czech Ostrava 3 Compulsory study plan
2019/2020 (B3607) Civil Engineering (3607R037) Building Constructions P Czech Ostrava 3 Compulsory study plan
2018/2019 (B3607) Civil Engineering (3607R037) Building Constructions P Czech Ostrava 3 Compulsory study plan
2017/2018 (B3607) Civil Engineering (3607R037) Building Constructions P Czech Ostrava 3 Compulsory study plan
2016/2017 (B3607) Civil Engineering (3607R037) Building Constructions P Czech Ostrava 3 Compulsory study plan
2015/2016 (B3607) Civil Engineering (3607R037) Building Constructions P Czech Ostrava 3 Compulsory study plan
2014/2015 (B3607) Civil Engineering (3607R037) Building Constructions P Czech Ostrava 3 Compulsory study plan
2013/2014 (B3607) Civil Engineering (3607R037) Building Constructions P Czech Ostrava 3 Compulsory study plan
2012/2013 (B3607) Civil Engineering (3607R037) Building Constructions P Czech Ostrava 3 Compulsory study plan
2011/2012 (B3607) Civil Engineering (3607R037) Building Constructions P Czech Ostrava 3 Compulsory study plan
2010/2011 (B3607) Civil Engineering (3607R037) Building Constructions P Czech Ostrava 3 Compulsory study plan

Occurrence in special blocks

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