Applied Mechanics aims to study Statics, Kinematics and Dynamics of rigid solids. This knowledge is the scientific and technical bases of industrial engineering, essential for any engineer to carry out his work with confidence and reliability. On the other hand, within the Degree in Mechanical Engineering, this subject is the basis for other subjects in the following courses such as: Resistance and Elasticity of Materials, Kinematics and Dynamics of Machines, Machine Design, Industrial Structures and Buildings, among others.



The concepts of Applied Mechanics will be developed from Vector Calculus and Matrix Algebra, analyzing mechanical systems, which are described graphically. In this way, a good level is required in the knowledge and use of Calculus and Algebra (1st course).

The main result of the course is to know the behavior of rigid solids based on different types of applied actions. For this, the knowledge of solid statics, kinematics and dynamics must be guaranteed. At the same time, students will develop the capability of solving exercises based on theoretical concepts.



Applied Mechanics will allow the student to obtain the following specific knowledge and skills:



- To understand how to obtain resultant and moment in sliding vector systems, as well as to obtain the equivalent system.



- To calculate the geometric features of a mass distribution.



- To master the statics of a rigid-body or a rigid-body system. To understand the conditions that actions and constraints must meet in a mechanical system to be in equilibrium.



- To analyze the equilibrium of mechanical systems by graphically posing the Free Solid Diagram.



- To calculate the forces transmitted by isostatic articulated structures.



- Ability to analyze mechanical systems including, when necessary, friction forces.



- Ability to relate the forces exerted on a cable with its geometry and internal forces.



- Ability to calculate internal forces and moments in beams.



- Ability to analyze the stresses generated by axial, shear, bending and torsion forces in simple structural elements.



- Ability to perform a kinematic analysis of a rigid body using fields of velocity and acceleration or relative motion.



- To carry out the graphical resolution of kinematic systems with plane movement.



- Ability to solve dynamic exercises with different methods: Linear and Angular Momentum Theorems or Mechanical Energy Theorem.



- Ability to perform dynamic analysis of rigid-bodies with fixed axes.



- Ability to perform dynamic analysis of rigid-bodies with plane movement (mechanisms).

1. BLOCK: STATICS



1. Chapter: FUNDAMENTALS OF VECTOR CALCULUS

2. Chapter: GEOMETRY OF MASSES AND PLANE SURFACES

3. Chapter: STATICS OF THE RIGID-BODY

4. Chapter: FRICTION

5. Chapter: CABLES

6. Chapter: FUNDAMENTALS OF STRENGTH OF MATERIALS



2. BLOCK: KINEMATICS AND DYNAMICS



7. Chapter: KINEMATICS OF THE RIGID-BODY

8. Chapter: STUDY OF PLANE MOTION

9. Chapter: MAGNITUDES AND FUNDAMENTAL THEOREMS OF DYNAMICS

10. Chapter: DYNAMICS OF THE RIGID-BODY

11. Chapter: DYNAMICS OF THE SOLID WITH FIXED AXIS

12. Chapter: DYNAMICS OF THE SOLID WITH PLANE MOTION

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Training and learning will be organized as follows:



- The master class and classroom practice are 3 hours a week. Basic theoretical concepts will be explained, developing theorems, demonstrating the statements used and giving examples. Classroom doubts will be clarified and class-based tasks will be proposed. In addition, to apply the theory, students will be asked to do the exercises in class, they will be given time to practice the exercise and the teacher will be able to clarify any doubts. It is strongly recommended to go to these classes to learn the fundamental theory which is necessary for the practical exercises.



- Outside of the classroom, students are encouraged to do additional work on their own with a minimum of 3-4 hours per week. Students must review the theoretical concepts taught in class and understand the developments. In addition, students will also have to work on the collections of exercises that are published in eGela. It is recommended to make use of teacher's tutorials to clarify doubts throughout the course.



- During the exam periods, students are recommended to make additional efforts (around +45 h) to review the whole content during the course.

• Final Assessment System
• Tools and qualification percentages:
  • Written test to be taken (%): 100

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To pass Applied Mechanics in the ordinary call, it is necessary to pass the exam of the two blocks previously defined in the theoretical-practical contents. To pass each block, students must get at least 5/10 on the exam (both).



Theory and exercises will be examined in independent parts in the exam of each block. In the theoretical part, developments, explanations, and theoretical-practical issues are raised. The weight of this part will be between 20-40% of the exam.



There will be an opportunity to pass the first block during the exam period in January. In this way, students can reach the ordinary call with half of the subject approved. It is not imperative to take this exam in January.



The January exam is part of the evaluation system of the ordinary call. Therefore, following the ethical guidelines is mandatory for the student. Cheating during the exam or other types of fraud will be penalized with a 0 in the ordinary call. In this case, the student will be considered to have taken the exam.



The ordinary call exam will allow all students to take one or two blocks at a time. In both cases, the student will be considered to have taken (fully) the exam.



The student who does not show up for the final exam will get the grade of Not Presented. That student will not keep the note obtained in January for the extraordinary call, even if he/she had approved it.



The marks of the exams carried out for the students who have taken the final exam will be saved for the extraordinary call, so if one of the blocks has already been passed, it will be saved.



The final mark will be the average of the two blocks, with the weight of each block being 50%. To make the average, the highest grade of the exams taken will be used for each block.



If at the end of the ordinary call, both blocks are failed with a final mark of more than 4.0, the mark will be settled to 4.0.



If health circumstances do recommend it, the evaluation of the student may alternatively be carried out remotely through telematic means offered by the e-gela platform: tasks, questionnaires, etc.

To pass Applied Mechanics in the ordinary call, it is necessary to pass the exam of the two blocks previously defined in the theoretical-practical contents. To pass each block, students must get at least 5/10 on the exam (both).



Theory and exercises will be examined in independent parts in the exam of each block. In the theoretical part, developments, explanations, and theoretical-practical issues are raised. The weight of this part will be between 20-40% of the exam.



Students will have again the option of taking one or both blocks. In both cases, it will be considered that the student has taken (fully) the exam.



The marks of students who have taken the ordinary call will be saved. If the student did not take the exam in the ordinary call, the mark will not be saved, even if he had passed it.



The student who does not take the exam in the extraordinary call will be set as Not Presented.



The final mark will be the average of the two blocks, with the weight of each block being 50%. To make the average, the highest grade of the exams taken will be used for each block.



If at the end of the ordinary call, both blocks are failed with a final mark of more than 4.0, the mark will be settled to 4.0.



If health circumstances do recommend it, the evaluation of the student may alternatively be carried out remotely through telematic means offered by the e-gela platform: tasks, questionnaires, etc.

Theory and problems developed and solved in the classroom.

Besides, additional material to support self-study.

Special (high-level) problems for in-depth analysis of concepts taught and for self-study.

Basic bibliography

Applied Mechanics is fundamental for every engineer so there is a hige variety of books. For that students interest please refer to the teacher. Many of them are spanish versions of english/american books.



Mecánica vectorial para ingenieros, Estática. Beer, Johnston. Mc Graw Hill

Mecánica vectorial para ingenieros, Dinámica. Beer, Johnston. Mc Graw Hill

Mecánica para ingenieros, Estática. Shames. Prentice Hall

Mecánica para ingenieros, Dinámica. Shames. Prentice Hall

Mecánica aplicada, estática y cinemática. Bilbao, Amezua. Síntesis

Mecánica aplicada, dinámica. Bilbao, Amezua, Altuzarra. Síntesis

Mecánica para ingenieros, Estática. Meriam, Kraige. Reverté

Mecánica para ingenieros, Dinámica, Kraige. Meriam. Reverté

Curso de Mecánica. Bastero, Casellas. EUNSA

Web addresses

https://www.journals.elsevier.com/international-journal-of-mechanical-sciences
https://www.asme.org/
http://ocw.upm.es/course/mecanica