Course detail

Strength of Materials I

FSI-4PPAcad. year: 2010/2011

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 course-unit credit is granted under the condition of active participation in seminars and passing the seminar tests of basic knowledge (at least 15 ECTS points out of 30 must be gained). The points gained in seminar tests are included in the final course evaluation.

Final examination: Written part of the examination plays a decisive role, where the maximum of 70 ECTS points can be reached. Solution of several computational problems is demanded. The problems come from typical profile areas of given subject and can be supplied by a theoretical question, proof, etc. The lecturer will specify exact demands like the number and types problems during the semester preceding the examination.

Final evaluation of the course is obtained as the sum of ECTS points gained in seminars and at the examination. To pass the course, at least 51 points must be reached.


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.

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
Hoschl, C.: Pružnost a pevnost ve strojírenství, SNTL, Praha, 1971
Pestel, E., Wittenburg, J.: Technische Mechanik, Band 2: Festigkeitslehre, B I, Wissenschaftsverlag, Mannheim, Leipzig, Wien, Zűrich, 1992

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme B3901-3 Bachelor's

    branch B-PDS , 2 year of study, winter semester, compulsory
    branch B-MTI , 3 year of study, winter semester, compulsory

  • Programme B2341-3 Bachelor's

    branch B-AIŘ , 2 year of study, winter semester, compulsory
    branch B-EPE , 2 year of study, winter semester, compulsory
    branch B-SSZ , 2 year of study, winter semester, compulsory
    branch B-STG , 2 year of study, winter semester, compulsory

Type of course unit

 

Lecture

52 hod., optionally

Teacher / Lecturer

doc. Ing. Jana Horníková, Ph.D.

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

12 hod., compulsory

Teacher / Lecturer

doc. Ing. Jana Horníková, Ph.D.
doc. Ing. Tomáš Návrat, Ph.D.
Ing. Martin Houfek, Ph.D.
doc. Ing. Tomáš Profant, Ph.D.
Ing. Petr Skalka, Ph.D.

Syllabus

1. Basic geometric characteristics of the cross-section of a bar.
4. Resultant internal force in straight bar.
6. Simple tension rod. Statically determined tasks.
9. Simple bending straight bar.
12. Simple loading of the bar - torsion.
13. Elastic stability of columns.

Computer-assisted exercise

14 hod., compulsory

Teacher / Lecturer

doc. Ing. Zdeněk Florian, CSc.

Syllabus

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.
5. Resultant internal force in curved bars.
7. Simple tension rod. Statically undetermined tasks.
8. Simple tension bar. System of bodies.
10. Simple bending in curvature bars.
11. Closed bars. Characteristics symmetry.