Course detail
Strength of Materials II
FSI-5PP-AAcad. year: 2022/2023
Assessment of solids with cracks, fundamentals of Linear Elastic Fracture Mechanics. Fatigue: basic material characteristics, basic methods of fatigue analysis. General theory of elasticity - stress, strain and displacement of an element of continuum. System of equations of linear theory of elasticity, general Hooke's law. Closed form solutions of elementary problems: thick wall cylinder, rotating disc and cylindrical body, axisymmetrical plate, axisymmetric membrane shell, bending theory of cylindrical shell.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Offered to foreign students
Learning outcomes of the course unit
Prerequisites
Basic knowledge of statics (especially equations of statical equilibrium and free body diagrams) and mechanics of materials (stress and strain tensors, elasticity theory of bars, failure criteria for ductile and brittle materials).
Co-requisites
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
Conditions for granting the course-unit credit: Attendance, active participation in 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 theoretical 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 or questions and other details will be communicated during the semester by the lecturer and through e-learing.
Course curriculum
Work placements
Aims
The aim of the course is to enlarge the students' knowledge on possibilities of assessment of safety of engineering structures. Students should become capable to solve stresses and deformations in various model bodies analytically. Also knowledge on failure criteria is enhanced, especially under 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. It is recommended as a prerequisite of branches M-ADI, M-ENI, M-FLI, M-IMB, M-MET or M-VSR.
Specification of controlled education, way of implementation and compensation for absences
Recommended optional programme components
Prerequisites and corequisites
Basic literature
DOWLING, N. E. Mechanical behavior of materials: Engineering methods for deformation, fracture, and fatigue. 3rd Ed. Upper Saddle River: Prentice Hall, 2007. ISBN 0-13-186312-6.
JANÍČEK, P. a PETRUŠKA, J. Pružnost a pevnost II: Úlohy do cvičení. 3. vyd. Brno: Akademické nakladatelství CERM, 2007. ISBN 978-80-214-3441-7.
ONDRÁČEK, E.; VRBKA, J.; JANÍČEK, P. a BURŠA, J. Mechanika těles: Pružnost a pevnost II. 4. přeprac. vyd. Brno: Akademické nakladatelství CERM, 2006. ISBN 80-214-3260-8.
UGURAL, A. C. Plates and Shells: Theory and Analysis. 4th Ed. Boca Raton: CRC Press, 2018. ISBN 978-1-138-03245-3.
Recommended reading
Elearning
Classification of course in study plans
- Programme B-STI-Z Bachelor's 1 year of study, winter semester, elective
- Programme B-STI-A Bachelor's 3 year of study, winter semester, compulsory-optional
- Programme B-MET-P Bachelor's 3 year of study, winter semester, compulsory-optional
- Programme LLE Lifelong learning
branch CZV , 1 year of study, winter semester, compulsory-optional
Type of course unit
Lecture
Teacher / Lecturer
Syllabus
General strength of materials - basic quantities and system of relationships between them.
Generalized Hooke’s law
Thick-walled cylindrical body
Rotating disks and cylindrical bodies
Circular and annular plates
Axisymmetric membrane shell
Cylindrical momentum shell
Composed bodies, comparison of analytical and numerical (FEM) solutions
Fatigue strength of beams – concept of nominal stresses
Fatigue strength of beams – concept of local stresses and strains, limited life
Brittle fracture, basics of linear elastic fracture mechanics
Crack growth at static and cyclic loading
Summary + examination
Exercise
Teacher / Lecturer
Syllabus
Stress and strain states and generalized Hooke’s law
Hooke’s law at assessment of strain gauge measurements
Thick-walled cylindrical body
Rotating disks and cylindrical bodies
Circular and annular plates
Axisymmetric membrane shell
Cylindrical momentum shell
Fatigue strength of beams – concept of nominal stresses
Fatigue strength of beams – concept of nominal stresses
Limit state of brittle fracture
Linear elastic fracture mechanics
Presentation of assignments
Presentation of assignments
Computer-assisted exercise
Teacher / Lecturer
Syllabus
Stress and strain states and generalized Hooke’s law
Hooke’s law at assessment of strain gauge measurements
Thick-walled cylindrical body
Rotating disks and cylindrical bodies
Circular and annular plates
Axisymmetric membrane shell
Cylindrical momentum shell
Fatigue strength of beams – concept of nominal stresses
Fatigue strength of beams – concept of nominal stresses
Limit state of brittle fracture
Linear elastic fracture mechanics
Presentation of assignments
Presentation of assignments
Guided consultation
Teacher / Lecturer
Syllabus
Stress and strain states and generalized Hooke’s law
Hooke’s law at assessment of strain gauge measurements
Thick-walled cylindrical body
Rotating disks and cylindrical bodies
Circular and annular plates
Axisymmetric membrane shell
Cylindrical momentum shell
Fatigue strength of beams – concept of nominal stresses
Fatigue strength of beams – concept of nominal stresses
Limit state of brittle fracture
Linear elastic fracture mechanics
Presentation of assignments
Presentation of assignments
Elearning