Course detail

Strength of Materials II

FSI-5PP-A Acad. year: 2027/2028 Winter semester

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

English

Number of ECTS credits

5

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.

The study programmes with the given course

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

Programme B-STI-A: Fundamentals of Mechanical Engineering, Bachelor's, compulsory-optional

Programme B-STI-Z: Fundamentals of Mechanical Engineering, Bachelor's, recommended course

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

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

26 hours, optionally

Syllabus

Division into groups and assignment of problems


Individual consultations


Presentations of assigned tasks

Exercise

14 hours, compulsory

Syllabus

Stress and strain states and generalized Hooke’s law


Hooke’s law in the evaluation of strain-gauge measurements


Brittle fracture (combined loading)


Thick-walled cylindrical body


Rotating disks and cylindrical bodies


Circular and annular plates


Axisymmetric membrane shell


Cylindrical momentum shell


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


Compound bodies

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


Brittle fracture (combined loading)


Thick-walled cylindrical body


Rotating disks and cylindrical bodies


Circular and annular plates


Axisymmetric membrane shell


Cylindrical momentum shell


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


Compound bodies