Course detail

Mechanics 1

FSI-RE1Acad. year: 2007/2008

Introduction to solid mechanics. Basic conceptions and general
principles. Force, moment of force about a point, moment of force about
an axis. Concentrated and distributed force systems. Classification of
force systems and their resultants. Equivalent force systems. Conditions
for rigid-body equilibrium. Basic tasks of Statics. Centre of gravity and
methods of its evaluation. Body supports and connections, their
computational models, kinematic pairs. Degrees of freedom of a single
body, constraints, concept of a free-body diagram. Statically determinate
and indeterminate problems. Algorithm of static equilibrium solution of a
body and its application to the analysis and solution of statically
determinate systems, mechanisms and trusses. Basic graphical
constructions. Passive resistances - their analysis and computational
models, Coulomb friction and rolling resistance. Free-body diagrams in
actual states of motion. Application to engineering problems including
friction forces and rolling resistances.

Language of instruction

Czech

Number of ECTS credits

5

Mode of study

Not applicable.

Guarantor

doc. Ing. Jiří Krejsa, Ph.D.

Department

Institute of Solid Mechanics, Mechatronics and Biomechanics (ÚMTMB)

Learning outcomes of the course unit

Students will acquire basic terms of solid mechanics, description and classification of force systems, determination of its characteristic variables and possible equivalent replacement. Further more the students will got knowledge on computational models of contact between solids both with and without considering passive resistance, analysis of kinematic and static quality of bedding of solid and system of solids, force detachment and solving static equilibrium.

Prerequisites

Vectors, matrices (fundamentals)

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

Course-unit credit requirements:
- successful passing of check tests during the semester
- active participation in the seminars.
- solving additional tasks in case of excused absence

Exam requirements:
Final evaluation is based on the result of examination, which has a combined form: written part (test of elementary knowledge + computational tasks) and oral part (discussion on written part with supplementary questions). It is necessary to have at least 50% of points in the test to pass the introductory part of the exam. The solution of 3 computational tasks follows then, the tasks are: solid, system of solids, passive resistance. The result of each task is evaluated from A (excellent) to F(failed). To pass the exam, only one task of all can be evaluated by F(failed), at the most.

Course curriculum

Not applicable.

Work placements

Not applicable.

Aims

The aim of the course is the formulation and introduction of basic terms in solid mechanics, definition of computational models, theories and algorithms required for solving the static problems. Obtained fundamental knowledge is necessary for sequential subjects Mechanics 2 and Mechanics 3 and Stress and strain analysis. Ability to solve static problems is required for further stress/strain analysis and design of machinery elements.

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

Attendance at practical training is obligatory. Attendance is checked systematically by the teachers, as well as students’ active participation in the seminars and fundamental knowledge. Unexcused absence is the cause for not awarding the course-unit credit. One absence can be compensated for by attending a seminar with another study group in the same week, or by solving supplemental tasks. Longer absence may be compensated for by solving supplemental tasks according to teachers’ requirements.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Florian, Ondráček, Přikryl: Mechanika těles - statika

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme B3901-3 Bachelor's

    branch B3904-00 , 2. year of study, winter semester, compulsory

Type of course unit

 

Lecture

26 hours, optionally

Teacher / Lecturer

doc. Ing. Jiří Krejsa, Ph.D.

Syllabus

1. Definition of mechanics, modelling and theory, fundamental terms.
2. Force, moment towards point, towards axis.
3. Force systems, its classification and characteristic variables.
4. Centre of gravity and its determination.
5. Equivalence of force systems and static balance of solid.
6. Basic static tasks.
7. Geometry and characteristic of contact, computational models of contact.
8. Algorithm of static balance of solid, solid bedding.
9. Systems of solids and its static solution.
10. Brace systems, joint method.
11. Passive resistance, its analysis and computational models.
12. Passive resistance, fundamental contact joints and its detaching.
13. Passive resistance, static balance of solid and system of solids in movement.

Exercise

26 hours, compulsory

Teacher / Lecturer

doc. Ing. Jiří Krejsa, Ph.D.

Syllabus

1. Algorithm of solid mechanics tasks solving, definition of force.
2. Force parameters determination, torque.
3. Couple of forces momentum, resultant force.
4. Replacing force system with single force, resultant for distributed force application.
5. Centre of gravity determination.
6. Detachment of fundamental bonds, bedding of a solid.
7. Static balance of bedded solid.
8. Static balance of movable solid, equilibrium position.
9. Classification of systems of solids, its movability, detachment.
10. Computation and graphical solution of static balance of system of solids.
11. Computation and graphical solution of static balance of brace systems.
12. Static balance of the solid considering passive resistance.
13. Static balance of system of solids considering passive resistance.