Course detail
Strength of Materials I
FSI-4PPAcad. year: 2011/2012
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
Number of ECTS credits
Mode of study
Guarantor
Learning outcomes of the course unit
Prerequisites
Principle knowledge of - vectorial calculus, matrix calculus, integral calculus, and solving of differential equations.
Co-requisites
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
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
Work placements
Aims
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
Prerequisites and corequisites
Basic literature
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
Classification of course in study plans
- Programme B3901-3 Bachelor's
branch B-FIN , 2 year of study, summer semester, compulsory-optional
branch B-MAI , 2 year of study, summer semester, compulsory
branch B-MET , 2 year of study, summer semester, compulsory - Programme B2341-3 Bachelor's
branch B-STI , 2 year of study, summer semester, compulsory
Type of course unit
Lecture
Teacher / Lecturer
Syllabus
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
Teacher / Lecturer
Syllabus
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
Teacher / Lecturer
Syllabus
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.