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Course detail
FSI-5PP-AAcad. year: 2023/2024
General strength of materials - stress, strain and displacements of an element of continuum in spatial task. System of equations of strength of materials and generalized Hooke's law. Possibilities of analytical solution of strength of materials on 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, assessment of body with crack. Fatigue of material - main concepts of fatigue assessment.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Department
Offered to foreign students
Entry knowledge
The necessary knowledge from mathematics are linear algebra, matrix calculus, functions of one and more variables, differential and integral calculus and ordinary and partial differential equation. Next the knowledge of programming in MATLAB software is required. The necessary knowledge from solid mechanics in the scope of corresponding to the subject Statics (especially the construction of equations of statical equilibrium and free body diagrams) and Strength of materials I (stress and strain tensors, beam theory, 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 the seminars and submission of given tasks, including their presentation.Examination: Examination is split into two parts. The content of the first mandatory part is the written test, where the maximum of 80 points can be reached. The content of the second part, which is optional, is an oral examination, where it can be reached from -20 to +20 points. Specific form of the examination, types of the tasks, questions and other details will be communicated during the semester by the lecturer and through the E-learning.
Attendance on the seminars is mandatory. A continuous control of the presence of students is conducted, including the control of activity and basic knowledge. Unexcused absence is grounds for not granting the couse-unit credit.
Aims
The aim of the subject is to extend the knowledge on the possibilities of safety assessment of engineering structures. The student should manage the analytical solutions of deformations and stresses in various bodies. The knowledge on limit states is also extended, especially under the conditions of cyclic loading and existence 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 categorize common types of tasks of strength of materials and is able to choose an appropriate methodology of problem solution in the given circumstances via the corresponding analytical solution, preparation of input data for a numerical calculation or design of an experimental technique. Student will be able to distinguish and assess the basic limit state of structures.
Study aids
Prerequisites and corequisites
Basic literature
Recommended reading
Elearning
Classification of course in study plans
Lecture
Teacher / Lecturer
Syllabus
General strength of materials - basic quantities, system of relationships among them and generalized Hooke’s lawBrittle fractureThick-walled cylindrical bodyRotating disks and cylindrical bodiesCircular and annular platesAxisymmetric membrane shellCylindrical momentum shellBasics of linear elastic fracture mechanicsCrack growth at static and cyclic loadingFatigue strength of beams – concept of nominal stressesFatigue strength of beams – concept of local stresses and strainsComposed bodies
Guided consultation
Dividing into groups and assigning the tasksIndividual consultationsPresentations of assigned tasks
Exercise
Stress and strain states and generalized Hooke’s lawHooke’s law at assessment of strain gauge measurementsBrittle fracture (combined loading)Thick-walled cylindrical bodyRotating disks and cylindrical bodiesCircular and annular platesAxisymmetric membrane shellCylindrical momentum shellLinear elastic fracture mechanicsFatigue strength of beams – symmetric stress cycleFatigue strength of beams – asymmetric stress cycleFatigue strength of beams – combined and non-proportional loading
Computer-assisted exercise