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Lecturer(s)
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Menčík Jaroslav, prof. Ing. CSc.
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Course content
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Stress, strain, Hooke's law. Uniaxial load. Strain energy. Statically determinate and indeterminate problems. Thermal stresses. Shear. Plane stress. Thin-walled cylindrical pressure vessel. Stresses in an inclined plane. Mohr´s circle, principal stresses. Strain gauges. Triaxial state of stress. Theories of brittle and ductile failure under combined load. Torsion of bars and thin-walled profiles. Free and constrained torsion. Pure bending, determination of stresses. Section characteristics, principal axes. Transverse bending, shear stresses. massive and thin-walled profiles. Combined load, eccentric tension (compression), oblique bending. Deflection of thin beams, differential equation, solution for various cases. Elastic stability of compressed beams. Critical load. Imperfections. Failure of components and structures. Stress concentration. Brittle fracture. Fatigue, causes and stages. Woehler curve, dimensioning for demanded lifetime. Time allowance, recapitulation of the course.
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing)
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Learning outcomes
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The purpose of the course is to explain basic kinds of loading and failure of components, to teach the students to determine stresses and deformations in simpler cases (bars and beams loaded in tension, compression, bending and torsion and their combinations, buckling and fatigue), and to evaluate the safety of a component, or to propose the cross-section dimensions for given load and demanded degree of safety.
On the completion of the Mechanics of materials I course students understand basic kinds of loading and failure of components. They are able to calculate stresses and deformations in simpler cases (bars and beams loaded in tension, compression, bending and torsion and their combinations, buckling and fatigue). They are able to evaluate the safety of components or to propose the cross-section dimensions for a given load and demanded degree of safety.
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Prerequisites
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Knowledge of Mechanics - Statics (successful examination) and principles of Calculus.
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Assessment methods and criteria
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Oral examination
Having passed exam of the course Statics, fulfilling attendance and other requirements (writing homework, tests) for the Mechanics of Materials I course that are defined by the lecturer at the beginning of the semester.
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Recommended literature
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Sochor, Miroslav. Strength of materials I. Praha: Vydavatelství ČVUT, 2004. ISBN 80-01-02995-6.
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