Course detail

Strength of Materials I

FSI-4PPAcad. year: 2007/2008

Basic terms and problems of stress/strain analysis. Mechanical properties of homogenous, isotropic, linearly elastic material. General theorems of linear elasticity. Definition, classification and geometrical properties of bar cross-section. Simple loading of the bar: tension, pressure, torsion, bending. Buckling stability of bars. Stress in the point of a body. Elasticity limit state. Plasticity conditions. Combined loading.

Language of instruction

Czech

Number of ECTS credits

8

Mode of study

Not applicable.

Guarantor

doc. Ing. Zdeněk Florian, CSc.

Department

Institute of Solid Mechanics, Mechatronics and Biomechanics (ÚMTMB)

Learning outcomes of the course unit

Basic knowledge of stress and deformation at simple examples. Potential usage of this classic attitude. Limiting conditions, safety evaluation.

Prerequisites

Solving of basic static tasks.
Principle knowledge of - vectorial calculus, matrix calculus, integral calculus, and solving of differential equations.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations.

Assesment methods and criteria linked to learning outcomes

The exam will contain a theoretical part (a test from theory and conception) as well as solving three practical assignments. The oral exam will also contain a discussion on the solution of assignments and possibly supplementary questions. It is necessary to reach at least 50% of points from theoretical test to pass the exam. The assignments are evaluated by grades from excellent to failed. Passing the exam means the evaluation of at least two assignments and of the theoretical part to be evaluated better than failed

Course curriculum

Not applicable.

Work placements

Not applicable.

Aims

Students will be made familiar with the basic methodology and determination of stress and deformation of the simplest mock-up rod. Defining basic limiting conditions for simple and combined loading. Students will learn the basics for elasticity-solid design of bodies or machinery parts.

Specification of controlled education, way of implementation and compensation for absences


Attendance at seminars is required. One absence can be compensated by a seminar with another group in the same week, or by elaboration of substitute tasks. More absences can be compensated by special tasks according to instructions of the tutor.
The course-unit credit is granted under the condition of: - active participation in the seminars,
- good results of seminar tests of basic knowledge,
- solution of additional tasks in case of longer
justifiable absence.
Seminar tutor will specify the conditions in the first week of a semester.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Gere, J.M., Timoshenko, S.P.: Mechanics of Materials, third SI edition, Chapman & Hall, London, Glasgow, New York, 1995
Pestel, E., Wittenburg, J.: Technische Mechanik, Band 2: Festigkeitslehre, B I, Wissenschaftsverlag, Mannheim, Leipzig, Wien, Zűrich, 1992
Hoschl, C.: Pružnost a pevnost ve strojírenství, SNTL, Praha, 1971

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme B3901-3 Bachelor's

    branch B3910-00 , 2. year of study, summer semester, compulsory
    branch B3904-00 , 2. year of study, summer semester, compulsory
    branch B3940-00 , 2. year of study, summer semester, compulsory

  • Programme B2341-3 Bachelor's

    branch B2339-00 , 2. year of study, summer semester, compulsory

  • Programme N2301-2 Master's

    branch N2370-BS , 1. year of study, summer semester, compulsory

  • Programme N2301-3 Master's

    branch N2300-00 , 1. year of study, summer semester, compulsory

Type of course unit

 

Lecture

52 hours, optionally

Teacher / Lecturer

doc. Ing. Jana Horníková, Ph.D.
doc. Ing. Tomáš Profant, Ph.D.
doc. Ing. Miroslav Suchánek, CSc.
prof. RNDr. Ing. Jan Vrbka, DrSc., dr. h. c.

Syllabus

1. Defining the content of the course. Limit state related to the deformation and failure of bodies.
2. Releasing the element of a body, internal force, tension, state of stress, deformation, strain energy.
3. Mechanical properties of homogenous, isotropic, linearly elastic materials. General theorems of linear elasticity. 4. Basic material characteristics. Tensile and compression test. Definition and classification of a bar, internal
force effects.
5-6. Simple loading of the bar - tension, pressure.
7-8. Simple loading of the bar -bending.
9. Curved bars.
10. Simple loading of the bar - torsion.
11. Buckling stability of bars.
12. State of stress in a body point. Displaying the state of stress in Mohr plain. Conditions of the limit state of
elasticity.
13. Safety conditions. Simple safety. Reduced strain. Combined loading.

Exercise

26 hours, compulsory

Teacher / Lecturer

doc. Ing. Jana Horníková, Ph.D.
Ing. Martin Houfek, Ph.D.
Ing. Martin Moš
prof. Ing. Luboš Náhlík, Ph.D.
doc. Ing. Tomáš Profant, Ph.D.
Ing. Petr Skalka, Ph.D.
prof. RNDr. Ing. Jan Vrbka, DrSc., dr. h. c.

Syllabus

1. Basic geometric characteristics of the cross-section of a bar.
2. Basic geometric characteristics of the cross-section of a bar when transformed to the moved and turned system of coordinates.
3. Basic geometric characteristics of the cross-section to main central polar system of coordinates.
4. Resultant internal force in straight bar.
5. Resultant internal force in curved bars.
6. Simple tension rod. Statically determined tasks.
7. Simple tension rod. Statically undetermined tasks.
8. Simple tension bar. System of bodies.
9. Simple bending straight bar.
10. Simple bending in curvature bars.
11. Closed bars. Characteristics symmetry.
12. Simple loading of the bar - torsion.
13. Elastic stability of columns.