330-0550/01 – FEM in Mechanics (MKPVM)

Gurantor departmentDepartment of Applied MechanicsCredits4
Subject guarantordoc. Ing. Zdeněk Poruba, Ph.D.Subject version guarantordoc. Ing. Zdeněk Poruba, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Study languageCzech
Year of introduction2020/2021Year of cancellation
Intended for the facultiesFSIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
FUS76 doc. Ing. Martin Fusek, Ph.D.
POR05 doc. Ing. Zdeněk Poruba, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 1+3
Part-time Credit and Examination 5+12

Subject aims expressed by acquired skills and competences

The aim of the subject is: - to understand basic principles of finite element method as the tool for the solution of engineering problems - to analyse the technical problem given and to assess possibilities of its solution using the finite element method, to choose the proper approach of the solution (linear vs. non-linear analysis) - to solve real linear engineering problems with the focus on structural and thermal tasks - the ability to propose and create the proper model and to interpret results obtained

Teaching methods



324/5000 The course aims to acquaint students of the follow-up study of design with the finite element method as a tool for solving practically oriented linear problems of technical practice. Theoretical teaching of the basic principles of the method is supplemented by solving specific engineering problems by the method of computer modeling.

Compulsory literature:

[1] REDDY, J. N. An introduction to the finite element method. 3rd edition. New York: McGraw-Hill, 2006. Series in mechanical engineering (McGraw-Hill). ISBN 0-07-246685-5.

Recommended literature:

[1] RAO, Singiresu S. The finite element method in engineering. Oxford: Pergamon Press, 1982.

Way of continuous check of knowledge in the course of semester

Zápočet: Zpracování a obhajoba programu - MKP analýza zadané strojní součásti. Zkouška písemná a ústní: ověření teoretických znalostí.


Other requirements

Nejsou další požadavky


Subject has no prerequisities.


Subject has no co-requisities.

Subject syllabus:

1) Approximation technique by the method of weighted residuals 2) Weighted residuals for weak formulation 3) Approximation by parts by a continuous function 4) Galerkin formulation of the finite element method 5) Boundary conditions 6) Bar element - differential equations, weak formulation 7) Bar element - mass matrix, stiffness matrix 8) Bar structure - localization table, global mass matrix, global stiffness matrix 9) Beam element - differential equations, weak formulation 10) Beam element - mass matrix, stiffness matrix 11) Beam structure - localization table, global mass matrix, global stiffness matrix 12) Engineering view of FEM - frequent applications of FEM 13) Problems of 2D finite elements 14) Problems of 3D finite elements

Conditions for subject completion

Full-time form (validity from: 2020/2021 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 35  20
        Examination Examination 65  25 3
Mandatory attendence participation: Zápočet a zkouška

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Conditions for subject completion and attendance at the exercises within ISP:

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Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2022/2023 (N0715A270037) Engineering Design (S06) Construction of Mechanical Parts P Czech Ostrava 1 Compulsory study plan
2021/2022 (N0715A270037) Engineering Design (S06) Construction of Mechanical Parts P Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner