339-0301/03 – Mechanics of Materials (PaP)
Gurantor department | Department of Mechanics of Materials | 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 | Czech |
Year of introduction | 2006/2007 | Year of cancellation | 2014/2015 |
Intended for the faculties | FMT, 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:
[5] FRYDRÝŠEK, K., ADÁMKOVÁ, L.: Mechanics of Materials 1 - Extended Edition (Introduction, Simple Stress and Strain, Basic of Bending), Faculty of Mechanical Engineering, VŠB-Technical University of Ostrava, Ostrava, Ostrava, 2008, Czech Republic, pp. 203.
[6] FRYDRÝŠEK, K., LENERT, J.: Mechanics of Materials, VŠB-TU Ostrava, 2005, ISBN 80-248-08006-4, pp. 63.
Recommended literature:
Way of continuous check of knowledge in the course of semester
test
E-learning
no
Other requirements
The students are apprised with requirements on the lesson.
Prerequisities
Co-requisities
Subject has no co-requisities.
Subject syllabus:
1. Introduction to mechanics of elastic bodies. Second moment (moment of inertia) of a plane area. Parallel axis theorem.
2. Transformation equations for moments and products of inertia. Principal axis of inertia. Mohr`s circle.
3. Simple stress and strain. Tensile and compression. Hooke`s law. Poisson`s law.
4. Tensile and compression. Statically determinate and indeterminate problems.
5. Stress theory. Mohr`s circle. Principal stress. Yield criteria.
6. Shear stress. Hooke`s law. Torsion of hollow shaft. Statically determinate and indeterminate problems.
7. Simple bending theory. Shearing forces. Bending moment.ss
8. Bending stresses in beam. Slope and deflection of beams.
9. Strain energy. Applications of energy methods. Castigliano`s theorem on deflections.
10. Statically indeterminate beams.
11. Elastic and Inelastic Stability of columns. Euler buckling of columns with general end of constrain. Inelastic buckling of column. Tetmayer`s solution.
12. Combined stress. Nonsymmetrical bending. Neutral axis. Combined beam and torsion.
13. Cranked beams and frames. Thin curved beam. Statically determinate and indeterminate problems.
14. Numerical solution problems of mechanics of materials. Introduction to finite element method.
Conditions for subject completion
Conditions for completion are defined only for particular subject version and form of study
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction