337-0306/01 – Statics and Dynamics of Steel Constructions (SDOK)

Gurantor departmentDepartment of MechanicsCredits4
Subject guarantorIng. Jan Szweda, Ph.D.Subject version guarantorIng. Jan Szweda, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year2Semestersummer
Study languageCzech
Year of introduction2002/2003Year of cancellation2014/2015
Intended for the facultiesFSIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
SZW73 Ing. Jan Szweda, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2
Combined Credit and Examination 12+4

Subject aims expressed by acquired skills and competences

To characterize the discretization principle of the solved areas in the deformation variant of FEM. Identify the significance of the shape functions for displacement approximation. Define the creation of a single element stiffness matrices. Construct the resulting stiffness matrix of the entire structure from stiffness matrices of the individual elements, the same for vector of loads. Solve the matrix equation for calculating the natural frequencies and shapes of undamped vibrations. To illustrate the principle of nonlinear static tasks solution. Classify the reasons for non-linearities. Calculate a simple task of linear buckling of a beam.

Teaching methods

Lectures
Tutorials

Summary

Vnitřní statické účinky spojitých nosníků s vloženými klouby a rámových konstrukcí. Metoda jednotkových sil, výpočet natočení a posuvů staticky určitého nosníkového prvku. Metoda jednotkových sil, užití pro staticky neurčité příhradové konstrukce. Princip MKP, matice tuhosti nosníkového prvku, základní statická rovnice. Matice hmotnosti a výpočty vlastních frekvencí. Metodika výpočtů ocelových konstrukcí podle normy ČSN 73 1401. Rozbor normy ČSN 73 0035 - zatížení stavebních konstrukcí.

Compulsory literature:

1. HORYL, P. Inženýrské základy MKP. Pomocné texty. Ostrava 2000. 30 s. 2. KUFNER, KUKLÍK. Stavební mechanika 10. Skripta ČVUT, fakulta stavební. 2000 3. STUDNIČKA, J. Ocelové konstrukce 10. Skripta ČVUT, fakulta stavební. 1998. 290 s.ISBN 80-01-01777-X 4. APETAUER, M., STEJSKAL, V. a BANĚČEK, J. Výpočtové metody ve stavbě motorových vozidel.Skripta ČVUT, fakulta strojní. 1989.145 s. 5. KOLÁŘ, V., KRATOCHVÍL, J., LEITNER, F., ŽENÍŠEK, A. Výpočet plošných a prostorových konstrukcí metodou konečných prvků. Praha, SNTL 1979. 544 s. 6. BITTNAR, Z. a ŘEŘICHA, P. Metoda konečných prvků v dynamice konstrukcí. Praha, SNTL 1981. 257 s. 7. STUDNIČKA, J. Ocelové konstrukce 10 Normy. Skripta ČVUT, fakulta stavební. 1999. 103 s.ISBN 80-01-01917-9

Recommended literature:

Way of continuous check of knowledge in the course of semester

E-learning

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Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Internal forces of continuous beams with embedded joints and frame structures. 2. Strain of the frame element, reciprocal work theorem, principle of the unit forces method. 3. Calculation of displacement and rotation of statically determinate beams and frames, using tables. 4. Calculation of displacement for a statically determinate truss structure. Influence of uniform heating of the structure. Notes on statically indeterminate tasks. 5. Origin and principles of FEM. Approximation functions for strain-stress element, derivation of a stiffness matrix. Shape function. 6. Stiffness matrix of a bending element, vector of an equivalent nodal load. Creating stiffness matrix and vector of loads for the entire structure. Basic static FEM equation. 7. Hierarchy of planar and spatial elements. Optimization of the width of the band, storage of matrices in computers' memory. 8. Mass matrix of tension-compression and bending. Calculation of natural frequencies. Properties of modal shapes of vibration. 9. Methods for natural frequencies calculation. Linear system response to a continuous excitation function by means of modal shapes expansion. 10. Buckling of structures. Using FEM to calculate the critical forces. 11. Matrix of 'geometrical' stiffness. Notes on non-linear calculations of buckling. 12. Methods of calculations of steel structures according to CSN 73 1401. 13. Rozbor CSN 73 0035 - Reliability and actions on structures. .

Conditions for subject completion

Full-time form (validity from: 1960/1961 Summer semester, validity until: 2010/2011 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
        Exercises evaluation Credit 35 (35) 0
                Project Project 30  0
                Other task type Other task type 5  0
        Examination Examination 65 (65) 0
                Written examination Written examination 50  0
                Oral Oral examination 15  0
Mandatory attendence parzicipation:

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Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2010/2011 (B2341) Engineering (2302R003) Transport Machinery and Material Handling P Czech Ostrava 2 Compulsory study plan
2010/2011 (B2341) Engineering (2302R003) Transport Machinery and Material Handling K Czech Ostrava 2 Compulsory study plan
2009/2010 (B2341) Engineering (2302R003) Transport Machinery and Material Handling P Czech Ostrava 2 Compulsory study plan
2009/2010 (B2341) Engineering (2302R003) Transport Machinery and Material Handling K Czech Ostrava 2 Compulsory study plan
2008/2009 (B2341) Engineering (2302R003) Transport Machinery and Material Handling P Czech Ostrava 2 Compulsory study plan
2008/2009 (B2341) Engineering (2302R003) Transport Machinery and Material Handling K Czech Ostrava 2 Compulsory study plan
2007/2008 (B2341) Engineering (2302R003) Transport Machinery and Material Handling P Czech Ostrava 2 Compulsory study plan
2007/2008 (B2341) Engineering (2302R003) Transport Machinery and Material Handling K Czech Ostrava 2 Compulsory study plan
2006/2007 (B2341) Engineering (2302R003) Transport Machinery and Material Handling P Czech Ostrava 2 Compulsory study plan
2006/2007 (B2341) Engineering (2302R003) Transport Machinery and Material Handling K Czech Ostrava 2 Compulsory study plan
2005/2006 (B2341) Engineering (2302R003) Transport Machinery and Material Handling P Czech Ostrava 2 Compulsory study plan
2005/2006 (B2341) Engineering (2302R003) Transport Machinery and Material Handling K Czech Ostrava 2 Compulsory study plan
2004/2005 (B2341) Engineering (2302R003) Transport Machinery and Material Handling P Czech Ostrava 2 Compulsory study plan
2004/2005 (B2341) Engineering (2302R003) Transport Machinery and Material Handling K Czech Ostrava 2 Compulsory study plan
2003/2004 (B2341) Engineering (2302R003) Transport Machinery and Material Handling P Czech Ostrava 2 Compulsory study plan
2003/2004 (B2341) Engineering (2302R003) Transport Machinery and Material Handling K Czech Ostrava 2 Compulsory study plan
2002/2003 (B2341) Engineering (2302R003) Transport Machinery and Material Handling P Czech Ostrava 2 Compulsory study plan
2002/2003 (B2341) Engineering (2302R003) Transport Machinery and Material Handling K Czech Ostrava 2 Compulsory study plan

Occurrence in special blocks

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