Course detail

Engineering Mechanics

FSI-UIM-A Acad. year: 2025/2026 Summer semester

Students during lectures become familiar with the basic concepts and problems of strength analysis, which consist of basic mechanical properties of material, general theorems of linear elasticity, bar under simple loading – tension / compression, torsion, bending of beams and analytical solution of strength of materials on elementary types of bodies: thick-walled cylindrical body, rotating disks and cylindrical bodies, circular and annular plates, axisymmetric membrane shell. They also become familiar with the theoretical foundations of the finite element method, with the essence of numerical computational modelling and with fundamental practical knowledge, which are applied to typical problems of solid mechanics.

Language of instruction

English

Number of ECTS credits

7

Supervisor

prof. Ing. Jindřich Petruška, CSc.

Department

Institute of Solid Mechanics, Mechatronics and Biomechanics

Entry knowledge

Mathematics: linear algebra, matrix calculus, functions of one and more variables, differential and integral calculus, ordinary and partial differential equations. Basic knowledge of statics (especially equations of equilibrium and free body diagrams).

Rules for evaluation and completion of the course

The graded course-unit credit requirements:
- active participation in seminars,
- individual preparation and presentation of seminar assignments,
- 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.

Aims

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.

The study programmes with the given course

Programme N-ENG-A: Mechanical Engineering, Master's, compulsory

Type of course unit

 

Lecture

39 hours, optionally

Syllabus


  • 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

26 hours, compulsory

Syllabus


  • 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

  • Solving of a given project under the supervision of lecturer

  • Presentation of project work by students