Structural Analysis

Relations:

The course 132STA can be graded only after the course 132TELA has been successfully completed.

The course 132STA can be graded only after the course 132SM3E has been successfully completed.

Course guarantor:

Jan Zeman

Lecturer:

Jan Zeman

Tutor:

Jan Zeman

Supervisor:

Department of Mechanics

Synopsis:

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.

Requirements:

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.

Syllabus of lectures:

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

Syllabus of tutorials:

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

Study Objective:

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.

Study materials:

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

Note:

Further information:

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

Time-table for winter semester 2024/2025:

	06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
Tue	roomTH:A-229 15:00–16:35 (lecture parallel1) Thákurova 7 (budova FSv) roomTH:A-229 16:45–18:20 (lecture parallel1 parallel nr.101) Thákurova 7 (budova FSv)
Wed
Thu
Fri

Time-table for summer semester 2024/2025:

Time-table is not available yet

The course is a part of the following study plans:

• Civil Engineering (compulsory course)
• Civil Engineering (compulsory course)