Course: Structural mechanics

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Course title Structural mechanics
Course code KDS/SBSMC
Organizational form of instruction no contact
Level of course Bachelor
Year of study not specified
Semester Winter and summer
Number of ECTS credits 0
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
Course content
1.General planar system of forces (conditions of equivalence and equilibrium) and its application in static calculations, the principle of analysis of reactions of a statically determined structure, basic types of structural supports, exceptional cases of support; principle of analysis of internal forces (normal and shear forces, bending moments) on statically determined structures, differential conditions of equilibrium on a beam, consequences of differential conditions of equilibrium on internal forces, principle of determination of critical cross section and maximal bending moment. 2.Analysis of reactions and internal forces (normal and shear forces, bending moments) of a simple beam and cantilever loaded by forces and moments, continuous loading (uniform, triangular, trapezoidal); beams with broken and curved axis (load transformation on beams with curved axis - load on plan projection vs. load to actual length). 3.Beams with internal hinges, basic types of Gerber beam, principle of Gerber beam analysis, principle of analysis of three-hinged beam / frame incl. three-hinged beam with tie rod; characteristics of planar trusses, determination of static certainty of planar trusses, solution of lattice structures by method of joints and method of sections. 4.Calculation of cross-section characteristics - centroid of cross-section of the planar figures, 2nd order moments of cross-section, Steiner's theorem, 2nd order moments for rotated axis and extreme values of 2nd order moments, radius and ellipse of 2nd order moments of cross-section 5.Statically determined beams - calculation of displacement and rotation by the force method, (Maxwell-Mohr relation, Vereschagin's rule), integration of the differential equation of the deflection line and the Mohr method; moving load on statically determined beams, concept and definition of influence lines, basic characteristics of influence lines of statically definite and statically indeterminate structures, analytical and kinematic method of solving influence lines, principle of influence line evaluation for given load. 6.Determination of the degree of static uncertainty, characteristics of statically determined and statically indeterminate structures, calculation of the degree of static uncertainty of open bar systems, closed bar systems and planar trusses. 7.Principle of solution of statically indeterminate structures by force method, inclusion of support movement and temperature changes in force method algorithm, derivation of three-moment equation for continuous beams, principle of solution of internally statically indeterminate planar trusses by force method. 8.Principle of solution of statically indeterminate structures by deformation method (model of structure for solution by deformation method, degree of deformation uncertainty, r and S vectors, analysis of the beam - primary state and secondary state, analysis of beam system - structure stiffness matrix, system of static equilibrium conditions in joints and its matrix notation, extension of this system by dynamic effects).

Learning activities and teaching methods
unspecified
Learning outcomes
Prerequisites
unspecified

Assessment methods and criteria
Oral examination

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Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester