# 337-0902/02 – Statics and Dynamics of Steel Constructions (STDOK)

 Gurantor department Department of Mechanics Credits 10 Subject guarantor prof. Ing. Petr Horyl, CSc., dr.h.c. Subject version guarantor prof. Ing. Petr Horyl, CSc., dr.h.c. Study level postgraduate Requirement Choice-compulsory Year Semester winter + summer Study language Czech Year of introduction 2013/2014 Year of cancellation 2014/2015 Intended for the faculties FS Intended for study types Doctoral
Instruction secured by
HOR80 prof. Ing. Petr Horyl, CSc., dr.h.c.
POD10 doc. Ing. Jiří Podešva, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Examination 25+0
Combined Examination 25+0

### Subject aims expressed by acquired skills and competences

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

### Teaching methods

Individual consultations
Project work

### Summary

The member forces of the beams, frame structures. The unit forces method, the nodal displacements and rotations of the static determined beam element, of the frame structures. The fundamentals of the finite element method, the stiffness matrix of the beam element, the static equation of equilibrium. The mass matrix. The steel structures calculation methodology according to the norm. The analysis of the norm - The load of the civil structures. The modal analysis. The harmonic excitation and response, the dynamic impact.

### Compulsory literature:

Cook, R.D. et al. Concepts and Applications of Finite Element Analysis. J. Wiley&Sons,2002,pp.719,ISBN 0-471-35605-0

### Recommended literature:

Examples for ANSYS solutions: http://www.mece.ualberta.ca/tutorials/ansys/

### E-learning

Students work in writing two larger themes from the course sylabus.

### Prerequisities

Subject has no prerequisities.

### Co-requisities

Subject has no co-requisities.

### Subject syllabus:

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. Statics and FEM. Basic matrix equation in statics. Bar and beam stiffness matricies. Transformation from local to global coordinate systems. 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

### Conditions for subject completion

Combined form (validity from: 2013/2014 Winter semester, validity until: 2014/2015 Summer semester)
Min. number of points
Examination Examination
Mandatory attendence parzicipation:

Show history

### Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2014/2015 (P2346) Mechanical Engineering (2302V019) Contruction of Production Machines and Equipment P Czech Ostrava Choice-compulsory study plan
2014/2015 (P2346) Mechanical Engineering (2302V019) Contruction of Production Machines and Equipment K Czech Ostrava Choice-compulsory study plan
2014/2015 (P2301) Mechanical Engineering (2302V019) Contruction of Production Machines and Equipment P Czech Ostrava Choice-compulsory study plan
2014/2015 (P2301) Mechanical Engineering (2302V019) Contruction of Production Machines and Equipment K Czech Ostrava Choice-compulsory study plan
2013/2014 (P2301) Mechanical Engineering (2302V019) Contruction of Production Machines and Equipment P Czech Ostrava Choice-compulsory study plan
2013/2014 (P2301) Mechanical Engineering (2302V019) Contruction of Production Machines and Equipment K Czech Ostrava Choice-compulsory study plan
2013/2014 (P2346) Mechanical Engineering (2302V019) Contruction of Production Machines and Equipment P Czech Ostrava Choice-compulsory study plan
2013/2014 (P2346) Mechanical Engineering (2302V019) Contruction of Production Machines and Equipment K Czech Ostrava Choice-compulsory study plan

### Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner