Course detail
Structural Analysis I
FAST-BD03Acad. year: 2011/2012
The division of the structures. Planar bar systems.
The principle of the virtual work. The laws of virtual works correspondence. Mohr’s integral. The calculation of the translations and rotations of the bar systems by means of the unit forces method. Vereschagin’s rule.
Statically indeterminate structures. The degree of static indeterminacy. Methods of solution. The force method. Simple built-in beam. Continuous beam solved by the Clapeyron’s theorem. Plane frame solved by the force method, the selection of the static indeterminate unknowns, canonical equations. Utilization of the shape symmetry, the influence of the shifts of supports, the effects of the uniform and non-uniform temperature changes of the frame. Plane arc solved by the force method, the influence of the compression of the thrust line of the arc, deformation load.
Statically indeterminate truss girder solved by the force method..
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Department
Learning outcomes of the course unit
Prerequisites
Kinematics of a point mass, dynamics of a point mass, dynamics of a rigid body.
Co-requisites
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
Course curriculum
2.The virtual work of the internal and external forces, the Lagrange’s principle of the virtual work. The laws of virtual works correspondence.
3.Mohr’s integral. Simplifications of the calculation. The enumeration of the translations and rotations of the straight and broken girders by the method of unit forces. Vereschagin’s rule.
4.The evaluation of the translations of the truss girders by means of the unit forces method.
5.Methods of analysis of the static indeterminate structures. The evaluation of the degree of static indeterminacy. The force method. Simple built-in beam.
6.Continuous girder with solid cross-section, general formulation for Clapeyron’s theorem – force and deflection loading.
7.A bar with the haunches. Utilisation of the shape symmetry of the beam, decomposition of the arbitrary load, alternate supports.
8.The plane frame analysed by the force method. The selection of the statically indeterminate unknowns, canonical equations.
9.Utilisation of the shape symmetry of the frame. The influence of shifts of the supports.
10.The influence of the uniform and non-uniform temperature changes.
11.Plane frames solved by the force method.
12.The influence of the compression of the thrust line of the arc, the change of the temperature and the influence of shifting supports.
13.Statically indeterminate truss analysed by the force method
Work placements
Aims
Information about the force method of structural analysis of statically indeterminate plane frames, planar bar systems, continuous girder, including the effect of support relaxation and the temperature influence.
Specification of controlled education, way of implementation and compensation for absences
Recommended optional programme components
Prerequisites and corequisites
Basic literature
Ferdinand P. Beer, E. Russell Johnston, Jr.: Mechanics of Materials. McGraw-Hill Book Company, 1981. (EN)
Kadlčák, J. - Kytýr, J.: Statika stavebních konstrukcí I. VUTIUM Brno, 2010. ISBN 80-214-1204-6. (CS)
KADLČÁK, Jaroslav a KYTÝR, Jiří: Statika stavebních konstrukcí II. Brno: VUTIUM, 2009. ISBN 978-80-214-3428-8. (CS)
Recommended reading
Classification of course in study plans
- Programme B-K-C-SI Bachelor's
branch VS , 2 year of study, summer semester, compulsory
- Programme B-P-C-SI Bachelor's
branch VS , 2 year of study, summer semester, compulsory
- Programme B-P-C-ST Bachelor's
branch VS , 2 year of study, summer semester, compulsory
- Programme B-P-E-SI Bachelor's
branch VS , 2 year of study, summer semester, compulsory