330-0305/04 – Mechanics of Materials (PaP)
| Gurantor department | Department of Applied Mechanics | Credits | 5 |
| Subject guarantor | prof. Ing. Karel Frydrýšek, Ph.D., FEng. | Subject version guarantor | prof. Ing. Karel Frydrýšek, Ph.D., FEng. |
| Study level | undergraduate or graduate | | |
| | Study language | English |
| Year of introduction | 2019/2020 | Year of cancellation | |
| Intended for the faculties | FS | Intended for study types | Bachelor |
Subject aims expressed by acquired skills and competences
To teach the students the basic procedures and methods applied for the solution of technical problems of strength and elasticity (i.e. mechanics of materials). To ensure the understanding of teaching problems. To apply the gained skills in practice.
Teaching methods
Lectures
Individual consultations
Tutorials
Summary
This subject teaches the basics terms of mechanics of deformed bodies. Basic types of tensions (i.e. tension, pressure, bending, torsion, buckling, limit states) for statically determinate and indeterminate cases. Discussed issue is in the branch of linear elasticity and gives skills applied for the design and assessment of simple technical structures.
Compulsory literature:
Recommended literature:
Way of continuous check of knowledge in the course of semester
test
E-learning
no
Other requirements
Lecture attendance, not another request
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
1. Quadratic moments of cross-sections - basic definitions (centre of gravity, moments of inertia, moments of deviation, Steiner's theorem).
2. Quadratic moments of cross-sections - central moments of inertia, main central moments of inertia and their determination.
3. Introduction to mechanics of compliant bodies. Working diagrams of metals and other materials. Definition of basic points of working diagrams (yield strength, ultimate strength, ...), modulus of elasticity. Concept of stress and strain in space (stress tensors, strain tensors, Hooke's law).
4. Tension or compression loading - statically certain problems, lone force and dead load for bars of constant cross section, stress and elongation calculations, strength check.
5. Tension or compression loading - truss structures, stress calculations, strength checking and dimensional design.
6. Tensile or Compressive Loading - Variable Section Bars, Statically Certain. Stress and elongation calculations, strength check.
7. Tension or compression loading - statically indeterminate tension and compression loading problems.
8. Twisting of members of circular and inter-circular cross-section - statically certain problems. Stress and twist calculations, strength checking and dimensional design.
9. Twisting of circular and inter-circular members - statically indeterminate problems.
10. Plane bending of beams - waveforms of internal static effects - normal forces, displacement forces, bending moments. Basic properties of symmetrical problems.
11. Plane bending of beams and its definition. Calculation of stresses, strength check and design of dimensions.
12. Plane bending of beams - calculation of deflections and rotations by analytical method (solution by differential equations).
13. Plane bending of beams - calculation of deflections and rotations using the Castigliano method.
14. Plane bending of beams - solution of statically indeterminate problems, e.g. using the Castigliano method.
15. Plane bending of frames - analysis of internal static effects - normal forces, displacement forces and bending moments. Stress calculation, strength check. Properties of symmetrical problems.
16. Plane bending of frames - calculation of deflections and rotations using Castigliano's method.
17. Plane bending of frames - solution of statically indeterminate problems.
18. Multiaxial tension, basic definition. Determination of principal stresses (analytical method, Mohr's circle). Hooke's law in space.
19. Strength theories and their applications (Rankine, Saint-Vénant, Guest, von Mises, Beltrami).
20. Composite stresses (tension/compression + bending).
21. Composite stresses (tension/compression + bending + torsion).
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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