Statics and Dynamics of Steel Constructions II

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Course Unit Code330-0516/01
Number of ECTS Credits Allocated4 ECTS credits
Type of Course Unit *Compulsory
Level of Course Unit *Second Cycle
Year of Study *First Year
Semester when the Course Unit is deliveredWinter Semester
Mode of DeliveryFace-to-face
Language of InstructionCzech, English
Prerequisites and Co-Requisites There are no prerequisites or co-requisites for this course unit
Name of Lecturer(s)Personal IDName
HOR80prof. Ing. Petr Horyl, CSc., dr.h.c.
Summary
The method of unit forces, derivation of equations. Solution of displacement and rotation of link and plane truss displacement. Solution of statically indeterminate trusses and frames.
Dynamics and FEM
Creation of mass matrix
Bernoulli and Timoshenko beam element
Eigenfrequencies and eigenvectors of non-damping vibrations
Non-linear solution of static problems, Newton methods, Arc-lenghts method
Buckling of structures
Learning Outcomes of the Course Unit
Define discretization principle in deformation variant of FEM
Identify importance of shape function by aproximation of displacement
Characterize creation of stiffness and mass matrix of one element
Construct global stiffness and mass matrix from one element matrixes, Load vector
Solve matrix equation for solution eigenvalues and eigenshapes non-damping vibration
Introduction to the solution of nonlinear static problems.
Compute easy problem of buckling

Course Contents
Dynamics and FEM
Creation of mass matrix
Bernoulli and Timoshenko beam element
Eigenfrequencies and eigenvectors of non-damping vibrations
Non-linear solution of static problems, Newton methods, Arc-lenghts method
Buckling of structures
Recommended or Required Reading
Required Reading:
Cook, R.D. et al. Concepts and Applications of Finite Element Analysis. J.
Wiley&Sons,2002,pp.719,ISBN 0-471-35605-0
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. BITTNAR, Z. a ŘEŘICHA, P. Metoda konečných prvků v dynamice konstrukcí.
Praha, SNTL 1981. 257 s.
6. STUDNIČKA, J. Ocelové konstrukce 10 Normy. Skripta ČVUT, fakulta stavební.
1999. 103 s.ISBN 80-01-01917-9
7. Cook R. D., Malkus D.S., Plesha M.E., Witt R.J. CONCEPTS AND APPLICATIONS
OF FINITE ELEMENT ANALYSIS. 4th edition. J. Wiley & Sons, Inc. NY, 2002,
p. 719, ISBN 0-471-35605-0
Recommended Reading:
http://www.mece.ualberta.ca/tutorials/ansys/ Universita of Alberta, Canada
http://www.mece.ualberta.ca/tutorials/ansys/ řešení a postupy řešení
vzorových příkladů v programovém prostředí ANSYS
Planned learning activities and teaching methods
Lectures, Tutorials
Assesment methods and criteria
Task TitleTask TypeMaximum Number of Points
(Act. for Subtasks)
Minimum Number of Points for Task Passing
Credit and ExaminationCredit and Examination100 (100)51
        CreditCredit35 20
        ExaminationExamination65 16