Code: 132TELA Theory of Elasticity
Lecturer: doc. Ing. Jan Vorel Ph.D. Weekly load: 3P+2C Completion: A, EX
Department: 11132 Credits: 6 Semester: W
Description:
Basic assumptions and basic equations of theory of elasticity. Assumptions on deformation and stress distribution in beams. Tension and compression, pure bending, bending moments in two planes, combination of axial and bending stresses. Core of a cross section. Differential equation of elasticity curve. Shear stresses in flexural beams. Free torsion. Elastic-plastic and plastic state of cross-section. Stability of beams. 2D problems, walls and plates.
Contents:
1. Introduction

2. Simple tension/compression

3. Simple bending of beams

4. Simple bending of beams, deflection

5. Complex bending of beams, a combination of normal force and bending moments

6. Test I.

7. Stress, equilibrium equations, shear stress

8. Torsion and warping

9. Limit state analysis, elastic, elastic-plastic and plastic stress states

10. Buckling of beam-columns - Euler load, energy method

11. Test II.

12. 3D stress state

13. Review lecture
Seminar contents:
The outline of exercises follows the outline of lectures.
Recommended literature:
[1] Šejnoha, M., Bittnarová, J., Šejnoha, J.: The Theory of Elasticity 10, ČVUT Publ. House, 1998, ISBN 8001018709
[2] Procházka, P.: The Theory of Elasticity 20, ČVUT Publ. House, 1999, ISBN 8001019497
Keywords:
stress, strain, beam theory, bending, torsion, stability of beams

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