Academic year 2023/2024 |
Supervisor: | doc. Ing. Tomáš Návrat, Ph.D. | |||
Supervising institute: | ÚMTMB | |||
Teaching language: | English | |||
Aims of the course unit: | ||||
The objective of the course Strength Analysis I is to equip the students with methodology for determination of strain and stress in bodies and risk assessment of basic limit states. Practical experience with computations of the simplest bodies will be further supplemented with basic knowledge necessary for the strength design of real machine parts. | ||||
Learning outcomes and competences: | ||||
Basic knowledge of stress and strain related to simple cases of loaded bars and beams and the idea of the boundaries of applicability of these classical approaches. Criteria of fundamental limit states and determination of safety and dimensions of designed bodies or machine parts. | ||||
Prerequisites: | ||||
Basic knowledge of statics and mathematics. Statics - conditions of static equilibrium and equivalence, free-body diagrams, assessment of static determinacy, shear force and bending moment diagrams. Mathematics - vectors and matrices, differential and integral calculus, solutions to differential equations. Knowledge of the software Matlab. | ||||
Course contents: | ||||
Basic concepts and problems of strength analysis. Basic mechanical properties of material. Concepts of stress and strain. General theorems of linear elasticity. Definition and classification of bar and beam as the simplest model of a body. Bar under simple loading - tension / compression, torsion; bending of beams. Basic limit states of ductile and brittle materials under static loading. Safety conditions. Beams and bars under combined loading. Stability of compressed bars. | ||||
Teaching methods and criteria: | ||||
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: | ||||
The course-unit credit is granted under the condition of active participation in seminars and passing the seminar tests of basic knowledge (at least 10 ECTS points out of 20 must be gained). The points gained in seminar tests are included in the final course evaluation. |
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Controlled participation in lessons: | ||||
Attendance at practical training is obligatory. Head of seminars carry out continuous monitoring of student's presence, their activities and basic knowledge. | ||||
Type of course unit: | ||||
Lecture | 13 × 4 hrs. | optionally | ||
Exercise | 6 × 2 hrs. | compulsory | ||
Computer-assisted exercise | 7 × 2 hrs. | compulsory | ||
Course curriculum: | ||||
Lecture | Definition of subject contents. Basic terms – deformation, stress, stress state, limit states, safety. |
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Exercise | Internal forces and moments for straight bar. |
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Computer-assisted exercise | Internal forces and moments for straight bar. |
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Literature - fundamental: | ||||
1. Gere, J.M., Timoshenko, S.P.: Mechanics of Materials, third SI edition, Chapman & Hall, London, Glasgow, New York, 1995 | ||||
2. Pestel, E., Wittenburg, J.: Technische Mechanik, Band 2: Festigkeitslehre, B I, Wissenschaftsverlag, Mannheim, Leipzig, Wien, Zűrich, 1992 | ||||
3. Hoschl, C.: Pružnost a pevnost ve strojírenství, SNTL, Praha, 1971 | ||||
4. Janíček P., Ondráček E., Vrbka J., Burša J.: Pružnost a pevnost I,VUT-FSI,Brno,2004 |
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5. Janíček P., Florian Z.: Úlohy z pružnosti a pevnosti I,2. vyd., VUT-FSI, Brno,1995 |
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6. GOODNO, B. J a J. M. GERE. Mechanics of materials. Enhanced ninth edition, SI edition. Boston: Cengage, 2021, ISBN 978-0-357-37785-7. |
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7. HIBBELER, R. C a K. B. YAP. Mechanics of materials. Harlow: Pearson, 2018. ISBN 978-1-292-17820-2. |
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8. Muvdi, B.B., & Elhouar, S. (2016). Mechanics of Materials: With Applications in Excel (1st ed.). CRC Press. Dostupné z: https://doi.org/10.1201/9781315374314 |
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9. Ross, C., Bird, J., & Little, A. (2021). Mechanics of Solids (3rd ed.). Routledge. Dostupné z: https://doi.org/10.1201/9781003128021 |
The study programmes with the given course: | |||||||||
Programme | Study form | Branch | Spec. | Final classification | Course-unit credits | Obligation | Level | Year | Semester |
B-FIN-P | full-time study | --- no specialisation | -- | Cr,Ex | 7 | Compulsory-optional | 1 | 2 | S |
B-STI-A | full-time study | --- no specialisation | -- | Cr,Ex | 7 | Compulsory | 1 | 2 | S |
B-STI-Z | visiting student | --- no specialisation | -- | Cr,Ex | 7 | Recommended course | 1 | 1 | S |
Faculty of Mechanical Engineering
Brno University of Technology
Technická 2896/2
616 69 Brno
Czech Republic
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