Structural Analysis

Předmět 132STA lze klasifikovat až po úspěšné klasifikaci předmětu 132TELA

Předmět 132STA lze klasifikovat až po úspěšné klasifikaci předmětu 132SM3E

Garant předmětu:

Jan Zeman

Přednášející:

Jan Zeman

Cvičící:

Jan Zeman

Předmět zajišťuje:

katedra mechaniky

Anotace:

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.

Požadavky:

132TELA, 132SM3E, students should have mastered the force and slope deflection methods for statically indeterminate planar frames, and trusses, and elementary elasticity, stresses and strains in beams, Hooke s law. 13 credits in structural mechanics and elasticity is a reasonable minimum to enter the course.

Osnova přednášek:

1. Course organization; Influence lines: basic principles

2. Influence lines: applications to extreme and moving loads

3. Influence lines: qualitative diagrams, indeterminate structures

4. Matrix form of Direct Stiffness Method (DSM) for truss structures

5. Matrix form of DSM for beam structures

6. Matrix form of DSM for frame structures; Principle of Virtual Work (PVW)

7. Two-dimensional elasticity: Governing equations

8. Two-dimensional elasticity: Rectangular finite element via PVW

10. Bending of thin plates: Governing equations

11. Bending of thin plates: Boundary conditions and PVW

12. Bending of thin plates: Rectangular finite element

13. Information on the final exam; Reserve / Formulation of flat shell element

Osnova cvičení:

1. Recap on internal force diagrams; Influence lines I

2. Influence lines II

3. Influence lines III

4. Matrix DSM for truss structures: MATLAB implementation

5. Matrix DSM for beam structures: MATLAB implementation

6. Matrix DSM for frame structures: MATLAB implementation,

7. FE method for 2D elasticity: Strategy of MATLAB implementation

8. Mid-term review test

9. FE method for 2D elasticity: MATLAB implementation

10. FE method for thin plates: Strategy of MATLAB implementation

11. FE method for thin plates: MATLAB implementation

12. Reserve / FE method for flat shell elements

Cíle studia:

The ability for a qualified use of structural analysis computer codes based on the FEM method, solving for the extreme effects of live load and application of basic criteria of material strength in terms of principal stresses.

Studijní materiály:

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

Poznámka:

Další informace:

Course Moodle space will be available at https://moodle-vyuka.cvut.cz

Rozvrh na zimní semestr 2023/2024:

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Út	místnost TH:A-229 16:00–17:50 (přednášková par. 1) Thákurova 7 (budova FSv) A229místnost TH:A-229 18:00–19:50 (přednášková par. 1 paralelka 101) Thákurova 7 (budova FSv) A229
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Rozvrh na letní semestr 2023/2024:

Rozvrh není připraven

Předmět je součástí následujících studijních plánů:

• Civil Engineering (povinný předmět)
• Civil Engineering (povinný předmět)