Lecturer(s)
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Bělík Jan, Ing.
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Hermann Martin, Ing.
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Cirkl David, doc. Ing. Ph.D.
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Sivčák Michal, Ing. Ph.D.
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Hruš Tomáš, Dr. Ing.
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Baťka Ondřej, Ing. Ph.D.
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Škoda Jan, Ing. Ph.D.
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Rágulík Jiří, Ing.
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Course content
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1. Basic assumptions, axioms and laws of statics. Definition of a force in 2D space, addition of forces, couple, moment of force, Varignon's theorem. 2. Definition of a force in 3D space, moment of a force in 3D about the origin of coordinate system, the axis passing through the origin of coordinate system, the general axis. 3. Static equivalency and equilibrium of force systems with common point of application, coplanar force systems and spatial force systems. 4. Reduction of system of forces, equivalent force-couple system. Graphical solution of general planar system of forces. Principal problems of statics. 5. Static equilibrium of a particle. Static determinacy. Examples in 2D and 3D. 6. Static equilibrium of a rigid body. 7. Support and connections types. Static determinacy of a body. Example of statically determinate and indeterminate beam. 8. Internal forces in beams. Shear and bending moment in beam. Schwedler's theorem. 9. Static equilibrium of rigid body in 3D. Support and connections types for a three-dimensional structure. Determination of number of DOF of three-dimensional structures. 10. Statics of structures. Classification of structure's components. Internal and external reactions. Analytical and graphical solution. Superposition principle. 11. Static solution of beam structures. Methods of solution. 12. Friction forces and their effect to static balance of bodies - sliding friction, axle friction, belt friction, rolling resistance. 13. Centroid of geometric shapes and center of gravity of bodies. 14. Mechanical work, principle of virtual work.
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Learning activities and teaching methods
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unspecified
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Learning outcomes
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The aim of the subject is to present tasks on force equilibrium of objects and present ways of their solution. The conditions for statical soulution are presented as well. Acquired knowledge are the basis for following subjects of mechanics - Elasticity and Strength and Dynamics.
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Prerequisites
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The ability to apply knowledge acquired in previuos or concurrent courses on mathematics. Derivatives, integrals, solution of a system of algebraic equations, application of matrix calculus.
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Assessment methods and criteria
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unspecified
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Recommended literature
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DOYLE, James F. Static and Dynamic Analysis of Structures with An Emphasis on Mechanics and Computer Matrix Methods. Dordrecht, 1991. ISBN 0-7923-1208-2.
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CHARVÁT, Jaroslav. Mechanika I. - Statika. 1985.
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JÁČ Václav a Miroslav POLCAR. Mechanika I. - Statika, 1985. Liberec, 1985.
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MERIAM, J., L., KRAIGE, L., G., Brian D. HARPER. Solving Statics problems in Matlab to accompany Engineering Mechanics - Statics. 978-0-470-09925-4, 2006.
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STEJSKAL, Vladimír, BŘEZINA, Jiří a Jiří KNĚZÚ. Mechanika I - Řešené příklady. Praha, 1999. ISBN 80-01-01694-3.
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VRZALA Rudolf a Iva PETRÍKOVÁ. Mechanika I (Statika). Liberec, 2009. ISBN 978-80-7372-570-9.
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