# Learning plan

Theoretical lectures:

• It will explain the fundamental concepts of each theme using short conceptual questions, presentations and other audiovisual sources (blogs, web pages, OpenCourseWare, and so on).

• It will solve examples of application of the theoretical concepts.

• Students will develop the subject competences of each chapter in accordance with the provided references.

Practical sessions:

• In the face-to-face sessions, it will solve exercises belonging to each theme and then students will solve both individually and in group other exercises.

• It will introduce to the students the concept of open problems.

• Students will solve other problems of each chapter in accordance with the exercise proposals.

Laboratory sessions:

• In the face-to-face sessions, it will work in group of two or three students, do the measures, and apply the theoretical concepts related to each experiment. Every student must have a notebook in which s/he will write the activity developed in the laboratory.

• Students must realize a laboratory report in group.

Week 1:

Study of the fundamental concepts and principles of mechanics. Discussing and solving exercises of mechanics. Introduction to the experimental measurements and its uncertainties: measuring lengths, areas and volumes. Application to the determination of the area and volume of a room.

Study and realization of problems of the contents of the topic “The fundamental concepts and principles of mechanics” exposed in the classroom hours, expanding the theoretical and practical concepts with the bibliography and links that will appear in the materials of the topic.

Do the exercises related to the methods of laboratory.

Week 2:

Sliding vectors (from II.1 to II.4). Discussing and solving exercises of sliding vectors. Introduction to the experimental measurements and its uncertainties: measuring lengths, areas and volumes. Application to the determination of the area and volume of a room.

Study and realization of problems of the contents of the topic “Sliding vectors” exposed in the classroom hours, expanding the theoretical and practical concepts with the bibliography and links that will appear in the materials of the topic.

Do the exercises related to the methods of laboratory.

Week 3:

Sliding vectors (from II.5 to II.7). Discussing and solving exercises of sliding vectors. Experimental measurements and its uncertainties: method of least squares. Application to the determination of the elastic constant of a spring by the static method.

Study and realization of problems of the contents of the topic “Sliding vectors” exposed in the classroom hours, expanding the theoretical and practical concepts with the bibliography and links that will appear in the materials of the topic.

Do the exercises related to the methods of laboratory.

Week 4:

First-semester examination both theory test and problems to solve from the themes I, and II.

Centre of gravity of plane surfaces. Experimental measurements and its uncertainties: method of least squares. Application to the determination of the elastic constant of a spring by the static method.

Study and realization of problems of the contents of the topic “Centre of gravity of plane surfaces” exposed in the classroom hours, expanding the theoretical and practical concepts with the bibliography and links that will appear in the materials of the topic.

Do the report of the work in the laboratory.

Week 5:

Moments of inertia of areas. Discussing and solving exercises of moments of inertia. Practical session: Determination of the centre of gravity of a homogeneous solid.

Study and realization of problems of the contents of the topic “Moments of inertia of areas” exposed in the classroom hours, expanding the theoretical and practical concepts with the bibliography and links that will appear in the materials of the topic.

Do the report of the work in the laboratory.

Week 6:

Principals moments and directions of inertia of plane surfaces (V.1 and V.2). Discussing and solving exercises of principals moments of inertia. Practical session: Determination of the centre of gravity of a homogeneous solid.

Study and realization of problems of the contents of the topic “Principals moments and directions of inertia of plane surfaces” exposed in the classroom hours, expanding the theoretical and practical concepts with the bibliography and links that will appear in the materials of the topic.

Do the report of the work in the laboratory.

Week 7:

Principals moments and directions of inertia of plane surfaces (V.3 and V.4). Discussing and solving exercises of principals moments and directions of inertia. Practical session: Determination of the elastic constant of a spring by the dynamic method.

Study and realization of problems of the contents of the topic “Principals moments and directions of inertia of plane surfaces” exposed in the classroom hours, expanding the theoretical and practical concepts with the bibliography and links that will appear in the materials of the topic.

Do the report of the work in the laboratory.

Week 8:

Second-semester examination both theory test and problems to solve from the themes III, IV, and V.

Equilibrium of rigid bodies. Discussing and solving exercises of equilibrium and free-body diagrams. Practical session: Determination of the elastic constant of a spring by the dynamic method.

Study and realization of problems of the contents of the topic “Equilibrium of rigid bodies” exposed in the classroom hours, expanding the theoretical and practical concepts with the bibliography and links that will appear in the materials of the topic.

Do the report of the work in the laboratory.

Week 9:

Analytical techniques to solve coplanar force systems. Discussing and solving exercises of equilibrium of rigid bodies. Practical session: Moments of inertia. Steiner’s theorem.

Study and realization of problems of the contents of the topic “Analytical techniques to solve coplanar force systems” exposed in the classroom hours, expanding the theoretical and practical concepts with the bibliography and links that will appear in the materials of the topic.

Do the report of the work in the laboratory.

Week 10:

Graphical techniques to solve coplanar force systems. Discussing and solving exercises of equilibrium of rigid bodies, graphical techniques to solve centre of gravity and vertical reaction supports in beams. Practical session: Moments of inertia. Steiner’s theorem.

Study and realization of problems of the contents of the topic “Graphical techniques to solve coplanar force systems” exposed in the classroom hours, expanding the theoretical and practical concepts with the bibliography and links that will appear in the materials of the topic.

Do the report of the work in the laboratory.

Week 11:

Third-semester examination both theory test and problems to solve from the themes VI, VII, and VIII.

Mechanical properties of solids. Discussing and solving exercises of axial deformation. Practical session: Deflection of a beam with a single load.

Study and realization of problems of the contents of the topic “Mechanical properties of solids” exposed in the classroom hours, expanding the theoretical and practical concepts with the bibliography and links that will appear in the materials of the topic.

Do the report of the work in the laboratory.

Week 12:

Internal forces in structural members: plane trusses (from X.1 to X.4). Discussing and solving exercises of plane trusses. Practical session: Deflection of a beam with a single load.

Study and realization of problems of the contents of the topic “Internal forces in structural members: plane trusses” exposed in the classroom hours, expanding the theoretical and practical concepts with the bibliography and links that will appear in the materials of the topic.

Do the report of the work in the laboratory.

Week 13:

Internal forces in structural members: plane trusses (X.5 and X.6). Discussing and solving exercises of plane trusses. Practical session: Deflection of a beam with a single load.

Study and realization of problems of the contents of the topic “Internal forces in structural members: plane trusses” exposed in the classroom hours, expanding the theoretical and practical concepts with the bibliography and links that will appear in the materials of the topic.

Do the report of the work in the laboratory.

Week 14:

Internal forces in structural members: isostatic plane beams (XI.1 and XI.4). Discussing and solving exercises of isostatic plane beams. Practical session: Deflection of a beam with a single load.

Study and realization of problems of the contents of the topic “Internal forces in structural members: isostatic plane beams” exposed in the classroom hours, expanding the theoretical and practical concepts with the bibliography and links that will appear in the materials of the topic.

Do the report of the work in the laboratory.

Week 15:

Fourth-semester examination both theory test and problems to solve from the themes IX, X, and XI.

Internal forces in structural members: isostatic plane beams (from XI.5 to XI.7). Discussing and solving exercises of isostatic plane beams. Practical session: Simple pendulum. Determination of the acceleration due to gravity.

Study and realization of problems of the contents of the topic “Internal forces in structural members: isostatic plane beams” exposed in the classroom hours, expanding the theoretical and practical concepts with the bibliography and links that will appear in the materials of the topic.

Do the report of the work in the laboratory.