Engineering Mechanics (FSI-UIM-A)

Academic year 2025/2026
Supervisor: prof. Ing. Jindřich Petruška, CSc.  
Supervising institute: ÚMTMB all courses guaranted by this institute
Teaching language: English
Aims of the course unit:

The objective of the course is to equip the students with methodology for determination of strain and stress in various model bodies and risk assessment of basic limit states. Students are also introduced to theoretical background of the finite element method and its practical application to various problems of continuum mechanics.

Student will be able to categorize common types of tasks of strength of materials and is able to choose an appropriate methodology of problem solution in the given circumstances via the corresponding analytical solution. They will also learn how to use the finite element method for solving continuum mechanics problems in complicated two- and three-dimensional regions.
Learning outcomes and competences:
 
Prerequisites:
 
Course contents:
 
Teaching methods and criteria:
 
Assesment methods and criteria linked to learning outcomes:

The graded course-unit credit requirements:
- active participation in seminars,
- good results in the written test of basic knowledge.
The teacher will specify the specific form of assessment in the first week of the semester.

 

Attendance on the seminars is mandatory. A continuous control of the presence of students is conducted, including the control of activity and basic knowledge. Unexcused absence is grounds for not granting the course-unit credit.
Controlled participation in lessons:
 
Type of course unit:
    Lecture  13 × 3 hrs. optionally                  
    Computer-assisted exercise  13 × 2 hrs. compulsory                  
Course curriculum:
    Lecture

  • Basic terms – deformation, stress, stress state, limit states, safety.

  • Mechanical properties of material and its computational models. Characteristics of linear elastic body. Definition of linear strength of materials.

  • Beam in strength of materials – definition, classification

  • Axially loaded bars, bars in torsion, beams in bending

  • Thick-walled cylindrical body, rotating disks and cylindrical bodies

  • Circular and annular plates

  • Axisymmetric membrane shell

  • Introduction to finite element method

  • Theory of finite element method

  • Beam elements: frames, truss structure

  • Plane elements: plane stress, plane strain and axisymmetric

  • Solid and shell elements

  • Creation of mesh, control of mesh density, influence of discretization on results
    Computer-assisted exercise

  • Introduction of ANSYS Workbench

  • Beam and truss elements

  • Plane elements (plane-stress, plane-strain, axisymmetric body)

  • Solid and shell elements

  • Steady-state and transient thermal analysis

  • Finding natural frequencies and mode shapes

  • Dynamic analysis
Literature - fundamental:
1. Dowling N.E.: Mechanical Behavior of Materials. Pearson, 2013.
2. Ugural A.C., Fenster S.K.: Advanced Strength and Applied Elasticity. Pearson, 4th ed. 2003.
3. Seed,G.M.: Strength of Materials, Saxe-Coburg Publications, 2000
4. Zienkiewicz, O. C., et al. Finite Element Method For Solid & Structural Mechanics. Elsevier India 7th edition, 2014. ISBN-10: 9789351072829
5. Shigley et al.: Mechanical Engineering design, McGraw-Hill, 2004.
6. Gere, J.M., Timoshenko, S.P.: Mechanics of Materials, third SI edition, Chapman & Hall, London, Glasgow, New York, 1995
The study programmes with the given course:
Programme Study form Branch Spec. Final classification   Course-unit credits     Obligation     Level     Year     Semester  
N-ENG-A full-time study --- no specialisation -- Cr,Ex 7 Compulsory 2 1 S
N-ENG-Z visiting student --- no specialisation -- Cr,Ex 7 Recommended course 2 1 S