Course detail

Strength of Materials II

FSI-5PP Acad. year: 2022/2023 Winter semester

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

Czech

Number of ECTS credits

5

Learning outcomes of the course unit

Students will be able to analyze common problems of general strength and elasticity, to choose an appropriate method of problem solution via either analytical solution or preparation of input data for a numerical solution or proposal of an experimental method. They will be able to distinguish and assess basic types of failures of engineering structures.

Prerequisites

Mathematics: linear algebra, matrix notation, functions of one and more variables, differential and integral calculus, ordinary and partial differential equations. Ability of application of mathematical software (Maple) is required as well.
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).

Planned learning activities and teaching methods

The course is taught through lectures explaining the basic principles and theory of the discipline. Exercises are focused on practical topics presented in lectures.

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.

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

Attendance at practical training is obligatory. Head of seminars carry out continuous monitoring of student's presence, their activities and basic knowledge.

The study programmes with the given course

Programme B-MET-P: Mechatronics, Bachelor's, compulsory-optional

Programme B-VTE-P: Production Technology, Bachelor's, compulsory

Programme B-ZSI-P: Fundamentals of Mechanical Engineering, Bachelor's
specialization STI: Fundamentals of Mechanical Engineering, compulsory-optional

Type of course unit

 

Lecture

39 hours, optionally

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

Guided consultation

26 hours, optionally

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

Exercise

14 hours, compulsory

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

12 hours, compulsory

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