Course detail

Structural Analysis

FAST-CD60Acad. year: 2011/2012

The analysis of thin-walled bars. Cross-section characteristics and the shear centre. Solution of the thin-walled bars with opened cross-section. Normal and shear stress. Differential equation of restrained warping torsion of opened cross-section shape. Evaluation of the characteristic quantities of the warping. Analysis of the thin-walled sections of a closed cross-section. Linear stability of the frame structures. Euler’s critical force and the shapes of buckled structure. Elasto-plastic analysis of a bar. The basis of a limit state analysis. The plastic limit load carrying capacity of a cross-section. The plastic limit load carrying capacity of a frame structure. The failure limit states. Introduction to solving basic equation of stress analysis and introduction to basics of fracture mechanics with respect to structural materials: plain/reinforced concrete, high strength/performance concrete, ceramics, metals.

Language of instruction

Czech

Number of ECTS credits

3

Mode of study

Not applicable.

Department

Institute of Structural Mechanics (STM)

Learning outcomes of the course unit

The analysis of linear stability of the frame structures, Euler’s critical force and the shapes of buckled structure. The principle of solution of the thin-walled bars with opened cross-section, equation of restrained warping torsion of opened cross-section shape. Introduction to the elastic-plastic analysis of a bar. The plastic limit load carrying capacity of a frame structure. The failure limit states. Introduction to solving basic equation of stress analysis and introduction to basics of fracture mechanics with respect to typical structural materials.

Prerequisites

Basic cases and complex cases of the load of the beam. Design of the beams in the case of the composed (complex) load.
The stability and the bucking strength of the compressed bars. Euler’s solution. The critical force and the critical stress.
Basics of theory of elasticity – stress, principal stress, deformation, strain, Hooke law. The principal stress at the plane stress problem.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

Requirements for successful completion of the subject are specified by guarantor’s regulation updated for every academic year.

Course curriculum

1. The analysis of thin-walled bars. Cross-section characteristics and the shear centre. Solution of the thin-walled bars with opened cross-section. Normal and shear stress.
2. Differential equation of restrained warping torsion of opened cross-section shape. Evaluation of the characteristic quantities of the warping.
3. Analysis of the thin-walled sections of a closed cross-section.
4. Linear stability of the frame structures. Euler’s critical force and the shapes of buckled structure.
5. Elasto-plastic analysis of a bar. The basis of a limit state analysis.
6. The plastic limit load carrying capacity of a cross-section The plastic limit load carrying capacity of a frame structure.
7. The failure limit states.
8. Plane stress analysis.
9. Application of Airy stress function to solving of basic equations of linear stress analysis, approximate methods.
10. Fracture mechanics – introduction, linear elastic fracture mechanics.
11. Non-linear fracture mechanics. Approximate methods of non-linear fracture.
12. Fracture parameters – methods od determination. Brittleness, size effect.
13. Using of finite element methods in solution of fracture mechanics problems; application to structural materials: plain/reinforced concrete, high strength/performance concrete, ceramics, metals.

Work placements

Not applicable.

Aims

The analysis of linear stability of the frame structures, Euler’s critical force and the shapes of buckled structure. The principle of solution of the thin-walled bars with opened cross-section, equation of restrained warping torsion of opened cross-section shape. Introduction to the elasto-plastic analysis of a bar. The plastic limit load carrying capacity of a frame structure. The failure limit states. Introduction to solving basic equation of stress analysis and introduction to basics of fracture mechanics with respect to typical structural materials.

Specification of controlled education, way of implementation and compensation for absences

Extent and forms are specified by guarantor’s regulation updated for every academic year.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Kadlčák, J., Kytýr, J.: Statika stavebních konstrukcí I. VUTIUM Brno, 2010. ISBN 978-80-214-3419-6. (CS)
Kadlčák, J., Kytýr, J.: Statika stavebních konstrukcí II. VUTIUM Brno, 2009. ISBN 978-80-214-3428-8. (CS)

Recommended reading

Bedford, A., Fowler, W. L.: Statics - Engineering Mechanics. Addison-Wesley Publisnihg Comp., Inc., 1995. (EN)
Bittnar, Z., Šejnoha, J.: Numerical Methods in Structural Mechanics. Asce Press, Thomas Telford Pub., 1996. (EN)
Servít, R., Doležalová, E., Crha, M.: Teorie pružnosti a plasticity I. SNTL/ALFA Praha, 1981. (CS)
Servít, R., Drahoňovský, Z., Šejnoha, J., Kufner, V.: Teorie pružnosti a plasticity II. STNL/ALFA Praha, 1984. (CS)

Classification of course in study plans

  • Programme N-P-E-SI Master's

    branch R , 1 year of study, winter semester, elective

  • Programme N-P-C-SI Master's

    branch R , 1 year of study, winter semester, elective

  • Programme N-K-C-SI Master's

    branch R , 1 year of study, winter semester, elective

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

Exercise

13 hod., compulsory

Teacher / Lecturer