Lecturer(s)


Růžička Milan, prof. Ing. CSc.

Course content

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 crosssections, 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, thinwalled rotating membranes.

Learning activities and teaching methods

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

Learning outcomes

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 crosssection rods, the geometric characteristics of crosssections, 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 crosssections, indeterminate beams, beam deflection, combined stress, variable load stress and stress of thinwalled rotating membranes with emphasis on engineering approach to problem solving.

Prerequisites

knowledge of advanced mathematics, knowledge of differencial, integral, vector and tensor mathematics

Assessment methods and criteria

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%.

Recommended literature


Michalec, J., a kol.: Pružnost a pevnost I, Vydavatelství ČVUT v Praze 2006/2008.

Michalec, J., a kol.: Pružnost a pevnost II, Vydavatelství ČVUT v Praze 2006.

Řezníček, J., Řezníčková, J.: Pružnost a pevnost v technické praxi  Příklady I, Vydavatelství ČVUT 2005.

Řezníček, J., Řezníčková, J.: Pružnost a pevnost v technické praxi  Příklady III, Vydavatelství ČVUT 2008.

Valenta, Fr., a kol.: Pružnost a pevnost III, Vydavatelství ČVUT v Praze 2006.
