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Course detail
FSI-5PP-AAcad. year: 2027/2028
The course covers the following topics: general strength of materials - stress, strain and displacements in three-dimensional continuum problem. System of equations of strength of materials and generalized Hooke's law. Possibilities of analytical solution of equations of strength of materials for elementary types of bodies - thick-walled cylindrical body, rotating disks and cylindrical bodies, circular and annular plates, axisymmetric membrane shell and cylindrical momentum shell. Basics of linear elastic fracture mechanics and the assessment of cracked body. Fatigue of material - main concepts of fatigue assessment.
Language of instruction
Number of ECTS credits
Assignment to study programme types
Mode of study
Guarantor
Department
Offered to foreign students
Entry knowledge
Required mathematical knowledge includes linear algebra, matrix calculus, functions of one or more variables, differential and integral calculus and ordinary and partial differential equations. Programming skills are also required. In solid mechanics, students need knowledge corresponding to the Statics course (especially the construction of equations of statical equilibrium and free-body diagrams) and Strength of Materials I course (stress and strain tensors, beam theory and limit states of ductile and brittle materials).
Rules for evaluation and completion of the course
Conditions for granting the course-unit credit: attendance, active participation in excercises, submission of solution of assigned problems and their presentation. A maximum of 10 points can be awarded for the solutions of the problems and their presentation.
The examination consists of two parts. The compulsory written test is worth a maximum of 80 points. The optional oral examination can adjust the evaluation by -10 to +10 points. The test format, types of problems and questions and other details will be communicated in person and through E-learning during the semester.
Attendance on the excercises is mandatory. Teachers continuously check attendance, active participation and basic knowledge. Unexcused absence is grounds for withholding the course-unit credit. An excused absence is compensated for by completing the assigned problems.
Aims
The course aims to extend the students' knowledge of safety assessment of engineering structures. Students will learn to obtain the analytical solutions of deformations and stresses in different types bodies and deepen their knowledge of limit states, especially under cyclic loading and presence of cracks in the body.
This subject is included into study plan of the 3rd year of bachelor's study as a compulsory-optional one. Its choice (or choice of its English version) is recommended in the case that the student intends to choose the programme N-ADI-P, N-MET-P, N-KSI-P, N-ETI-P, N-IMB-P or N-VSR-P.
Students will be able to classify common types of problems of strength of materials and under given circumstances to choose a suitable solution method of the problem via the corresponding analytical solution, preparation of inputs for numerical analysis or experimental approach. Students will be able to distinguish and assess the basic limit states of structures.
Study aids
Prerequisites and corequisites
Basic literature
Recommended reading
Classification of course in study plans
specialization STI , 3 year of study, winter semester, compulsory-optional
Lecture
Teacher / Lecturer
Syllabus
General strength of materials - basic quantities, system of relationships among them and generalized Hooke’s law
Brittle fracture
Thick-walled cylindrical body
Rotating disks and cylindrical bodies
Circular and annular plates
Axisymmetric membrane shell
Cylindrical momentum shell
Basics of linear elastic fracture mechanics
Crack growth under static and cyclic loading
Fatigue strength of beams – concept of nominal stresses
Fatigue strength of beams – concept of local stresses and strains
Compound bodies
Guided consultation
Division into groups and assignment of problems
Individual consultations
Presentations of assigned tasks
Exercise
Stress and strain states and generalized Hooke’s law
Hooke’s law in the evaluation of strain-gauge measurements
Brittle fracture (combined loading)
Linear elastic fracture mechanics
Fatigue strength of beams – symmetric stress cycle
Fatigue strength of beams – asymmetric stress cycle
Fatigue strength of beams – combined and non-proportional loading
Computer-assisted exercise
Hooke’s law at assessment of strain gauge measurements