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Lecturer(s)
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Růžička Milan, prof. Ing. CSc.
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Course content
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1. Revision of basic concepts of statics. Simple tension and compression - the concepts and terms, stress, strain, Hooke's law, rigidity and pliability. 2. Static certain task, the strain energy and its applications, Castigliano theorem, statically indeterminate problems and their solutions. 3. Uniaxial state of stress, the basic spatial confinement, solutions in plane - Mohr's circle, extended Hooke's law and deformed. energy. 4. Basic material states and the differences between them, limit state and strength conditions. 5. Torsion bars of circular and annular circular cross sections, the relationship between stress, strain and stress, thin cylindrical springs. 6. The geometric characteristics of cross-sections, deflection of statically determinate beams, the method of cut and Schwedler sentence, courses of forces and moments. 7. Deflections of beams - solution analytically using differential equations, solutions using strain energy, the use of Castigliano sentence. 8. statically indeterminate beams, solutions using force method and using the Castigliano second sentence. 9. Combined stress - a combination leading to a uniaxial stress state and combinations leading to plane stress. 10. Straining at variable load - load basic types of variables, basic types of diagrams. 11. The principles describe the load and their use in the calculation of real part. 12. Notches and their basic parameters, calculations security at a variable load of real components. 13. Membrane stress and basic conditions of stresses, thin-walled rotating membranes.
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Work with text (with textbook, with book)
- Class attendance
- 70 hours per semester
- Preparation for classes
- 100 hours per semester
- Semestral paper
- 50 hours per semester
- Preparation for exam
- 30 hours per semester
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Learning outcomes
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The course emphasis on the theoretical basis of the discussed concepts and derivation of basic relations and relations between concepts. In addition, students gain advanced knowledge in certain topics focusing on the use of related courses in the theoretical basis of studies and master's degree. Students will gain advanced knowledge of the following topics of: simple tension and pressure, fundamentals of plane stress and spatial stress, strain energy, and limit state and strength conditions, torsion of circular cross-section rods, the geometric characteristics of cross-sections, bending statically determinate and indeterminate beams, deflection of the beam, the combined stress, stress at variable load and stress of thin rotating membranes. In lectures is emphasized the relations and mutual relationships between quantities. Emphasis is placed on engineering approach to solve issues corresponding to the course Strength of Materials I including derivation of all basic relations.
Students will gain knowledge and basic overview of the problems of elasticity and strength. After completing the course, students will have extended knowledge in some thematic areas of simple tension and compression, fundamentals of plane and spatial stress, deformation energy, limit states and strength conditions, torsion bars of circular cross-sections, indeterminate beams, beam deflection, combined stress, variable load stress and stress of thin-walled rotating membranes with emphasis on engineering approach to problem solving.
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Prerequisites
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knowledge of advanced mathematics, knowledge of differencial, integral, vector and tensor mathematics
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Assessment methods and criteria
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Combined exam, Seminar work
Understanding of the topic within the frame given by the plan. elaboration of eight model examples in home preparation Assesment methods and criteria linked to learning outcomes: credit: attendance of seminars, min 75%, passing the test to min 75%. exam: passing the test min 75%, proof of knowledge at the oral exam min 75%.
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Recommended literature
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Michalec, J., a kol.: Pružnost a pevnost I, Vydavatelství ČVUT v Praze 2006/2008.
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Michalec, J., a kol.: Pružnost a pevnost II, Vydavatelství ČVUT v Praze 2006.
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Řezníček, J., Řezníčková, J.: Pružnost a pevnost v technické praxi - Příklady I, Vydavatelství ČVUT 2005.
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Řezníček, J., Řezníčková, J.: Pružnost a pevnost v technické praxi - Příklady III, Vydavatelství ČVUT 2008.
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Valenta, Fr., a kol.: Pružnost a pevnost III, Vydavatelství ČVUT v Praze 2006.
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