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Terminated in academic year 2014/2015

Mechanics of Materials

Type of study Bachelor
Language of instruction Czech
Code 339-0301/01
Abbreviation PaP
Course title Mechanics of Materials
Credits 5
Coordinating department Department of Mechanics of Materials
Course coordinator prof. Ing. Jan Fuxa, CSc.

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.

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.

Advised literature

[18] FRYDRÝŠEK, K., ADÁMKOVÁ, L.: Mechanics of Materials 1 (Introduction, Simple Stress and Strain, Basic of Bending), Faculty of Mechanical Engineering, VŠB-Technical University of Ostrava, Ostrava, ISBN 978-80-248-1550-3, Ostrava, 2007, Czech Republic, pp. 179.