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 |
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:
Recommended literature:
Examples for ANSYS solutions: http://www.mece.ualberta.ca/tutorials/ansys/
Additional study materials
Way of continuous check of knowledge in the course of semester
E-learning
Other requirements
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
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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