Principles of mechanics and their application for solving problems regarding loaded bodies in two and three dimensions
# | Title | Description | Hours |
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1 | Basic concepts. | 4 | |
2 | Elements of Vector Calculus. | 4 | |
3 | Systems of forces and moments in two and three dimensions. | 4 | |
4 | Equations of static equilibrium. | 4 | |
5 | Types of loads. Basic structural systems. | 4 | |
6 | Supports, reactions, plane statically determinate systems. | 4 | |
7 | Plane statically determinate trusses. | 4 | |
8 | Plane statically determinate trusses. | 4 | |
9 | Beams (internal forces). | 4 | |
10 | Statically determinate frames (internal forces). | 4 | |
11 | Area moments of inertia. Centroid. Flexible cables. Catenary. | 4 | |
12 | Work and energy. Principle of virtual work. | 4 | |
13 | Potential energy and stability. Friction and applications. | 4 |
With the successful completion of the course, the students will have obtained a solid background with respect to the fundamentals of mechanics of non-deformable bodies and will be able to successfully attend the following scheduled courses, which are the mechanics of the deformable bodies and the strength of the materials.
Teaching methods | Lectures are carried out on the board. |
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Problems - Applications | The students will have to solve and hand in 10 sets of exercises (homeworks). These homeworks will be marked and will be returned to the students with the appropriate comments. |