Structural Mechanics 1
| Code | Completion | Credits | Range | Language |
|---|---|---|---|---|
| 132ST01 | Z,ZK | 6 | 2P+2C | English |
- Relations:
- The course 132ST02 can be graded only after the course 132ST01 has been successfully completed.
- Course guarantor:
- Michal Šejnoha
- Lecturer:
- Michal Šejnoha
- Tutor:
- Michal Šejnoha
- Supervisor:
- Department of Mechanics
- Synopsis:
-
The principal objective of the course is to familiarize students with basic principles of mechanics such as equilibrium and equivalency applied to statically determined structures. The basic principles of the calculation of internal forces in the cross-section of a straight beam will also be presented. Moreover, the students will be introduced to the Lagrangian principle of virtual work and its application to the calculation of reaction forces of multi-body structural systems.
- Requirements:
-
Successful completion of the assigned tasks. Successfully passing two tests.
- Syllabus of lectures:
-
1. System of concurrent forces basic theorems and axioms, definition of force, resultant of a system of forces by rectangular components, equilibrium, equivalency
2. General system of forces definition of moment, vector and scalar product, resultants of a system of forces by rectangular components
3. General system of forces resolution of forces to a force and a couple, two and three-dimensional systems of forces and moments, system of parallel forces in two and three dimensions, application of equilibrium and equivalency conditions
4. Statics of rigid particles and rigid bodies degrees of freedom and corresponding constraints, idealization of two and three-dimensional supports and connections, statically determinant, indeterminant, and overdeterminat structures
5. Statics of rigid bodies equilibrium of a rigid body in two and three dimensions, improperly supported structures
6. Examples of static schemes of real engineering structures, basic structural elements. Permanent loading due to self-weight, variable loading (loading due snow, wind)
7. Statics of rigid bodies reaction forces of simple and multi-body statically determined structures, internal connections
8. Statics of rigid bodies reaction forces by applying the Lagrange principle of virtual displacements and rotations, basic definitions, application to straight statically determinant beam
9. Statics of rigid bodies reaction forces of multi-body systems via the Lagrange principle of virtual work, the Gerber beam, three-hinge beam structure with supports at a different height
11. Analysis of trusses definition, classification, zero force members
12. Analysis of trusses application of the method of joints and the method of sections
13. Review lecture, information regarding the final exam
- Syllabus of tutorials:
-
1. System of concurrent forces basic theorems and axioms, definition of force, resultant of a system of forces by rectangular components, equilibrium, equivalency
2. General system of forces definition of moment, vector and scalar product, resultants of a system of forces by rectangular components
3. General system of forces resolution of forces to a force and a couple, two and three-dimensional systems of forces and moments, system of parallel forces in two and three dimensions, application of equilibrium and equivalency conditions
4. Statics of rigid particles and rigid bodies degrees of freedom and corresponding constraints, idealization of two and three-dimensional supports and connections, statically determinant, indeterminant, and overdeterminat structures
5. Statics of rigid bodies equilibrium of a rigid body in two and three dimensions, improperly supported structures
6. Examples of static schemes of real engineering structures, basic structural elements. Permanent loading due to self-weight, variable loading (loading due snow, wind)
7. Statics of rigid bodies reaction forces of simple and multi-body statically determined structures, internal connections
8. Statics of rigid bodies reaction forces by applying the Lagrange principle of virtual displacements and rotations, basic definitions, application to straight statically determinant beam
9. Statics of rigid bodies reaction forces of multi-body systems via the Lagrange principle of virtual work, the Gerber beam, three-hinge beam structure with supports at a different height
11. Analysis of trusses definition, classification, zero force members
12. Analysis of trusses application of the method of joints and the method of sections
13. Review lecture, information regarding the final exam
- Study Objective:
-
Students will become familiar with fundamental concepts of mechanics and the principle of equilibrium of rigid bodies.
- Study materials:
-
[1] W.F. Riley, L.D. Sturges, Engineering Mechanics - Statics, JOHN WILEY & SONS, INC., New York, 1993, ISBN 0-471-51241-9
[2] K.H. Gerstle, Basic Structural Analysis, PRENTICE-HALL, INC., Englewood Cliffs, New Jersey, 1974, ISBN 0-13-069393-6
- Note:
- Time-table for winter semester 2025/2026:
-
06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon Tue Wed Thu Fri - Time-table for summer semester 2025/2026:
- Time-table is not available yet
- The course is a part of the following study plans:
-
- Civil Engineering (compulsory course)
- Civil Engineering (compulsory course)