| Anotace | (semestr B241) |
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| Extreme effects of live load, influence lines. Matrix form of the direct stiffness method and its computer implementation for trusses and frames. Two-dimensional elasticity and its finite element treatment. Governing equations of thin plates and their finite element treatment. |
| Obsah | |
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1. Displacement method, planar beam end forces, formulas and beam stiffness matrix nad submatrices
2. Degrees of freedom and equilibrium equations in planar frames, matrix form
3. Assembly and solution of the system, back substitutions, internal forces diagrams
4. Planar frames and gridworks as special cases of spatial frames, displacement method for gridworks
5. Influence lines and variables extremes for statically determinate planar frames and trusses
6. Stress tensor in 3D
7. Stress tensor in 2D
8. Material failure conditions, Rankine, Mises, Mohr-Coulomb
9. Strain tensor in 3D and 2D, strain gauges
10. Linear elastic constitutive equations
11. Work of stress, principle of virtual displacements, weak equilibrium conditions
12. Discretization by the finite element method
13. FEM techniques, error of the FEM solution |
| Literatura | |
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[1] R. C. Hibbeler: Structural Analysis in SI Units, 10th Edition, Pearson, 2019URL
[2] P. I. Kattan, MATLAB Guide to Finite Elements An Interactive Approach, Springer, 2003
[3] - E. Oñate, Structural Analysis with the Finite Element Method. Linear Statics Volume 2: Beams, Plates and Shells, Springer, 2013
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| Návaznosti | |
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Tento předmět lze klasifikovat až po klasifikaci předmětu 132SM3E
Tento předmět lze klasifikovat až po klasifikaci předmětu 132TELA
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| Studijní plány | |
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Předmět je zařazen do následujících studijních plánů:
- studijní plán Civil Engineering (BD2020), skupina Civil Engineering, 5th semester (BD20200500), dop. semestr 5 (valid from 2020/21 to 2022/23 )
- studijní plán Civil Engineering (BD2023), skupina Civil Engineering, 5th semester (BD20200500), dop. semestr 5 (valid from 2023/24 )
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