2023
Engineering Mechanics I
Name: Engineering Mechanics I
Code: EME13006L
6 ECTS
Duration: 15 weeks/156 hours
Scientific Area:
Mechanical Engineering
Teaching languages: Portuguese
Languages of tutoring support: Portuguese, English
Regime de Frequência: Presencial
Sustainable Development Goals
Learning Goals
Provide the fundamental concepts of Mechanics and an introduction to its application in engineering, in the description, modelling and analysis of mechanical systems comprised of rigid bodies in static situations.
Capabilities to be developed:
(a) use vectors to model and analyze structures and mechanisms assumed as collections of rigid bodies;
(b) identify the actions over any element of a structure by drawing its free body diagram;
(c) write the equilibrium equations and evaluate the static equilibrium of a rigid body in 2D or 3D;
(d) determine the connection forces between members of statically determinate structures and mechanisms;
(e) calculate and draw the bending, shear and tension diagrams of beam like components;
(f) evaluate the effects of the presence of friction over the equilibrium conditions of mechanical systems and structures.
(g) start developing some independence in the study of new subjects.
Capabilities to be developed:
(a) use vectors to model and analyze structures and mechanisms assumed as collections of rigid bodies;
(b) identify the actions over any element of a structure by drawing its free body diagram;
(c) write the equilibrium equations and evaluate the static equilibrium of a rigid body in 2D or 3D;
(d) determine the connection forces between members of statically determinate structures and mechanisms;
(e) calculate and draw the bending, shear and tension diagrams of beam like components;
(f) evaluate the effects of the presence of friction over the equilibrium conditions of mechanical systems and structures.
(g) start developing some independence in the study of new subjects.
Contents
1. Revisions: the concept of force, parallelogram law for the addition of forces, vectors, static equilibrium of particles in 2D and 3D.
2. Rigid body. Moment of a force about a point. Couple of forces. Equivalent systems of forces. Distributed forces. Reduction to a resultant force or force-couple.
3. Free body diagram. Equations governing the static equilibrium of rigid bodies in 2D and 3D.
4. Center of gravity, mass and centroid.
5. Static analysis of rigid body trusses, structures and mechanisms in 2D and 3D. Static determinacy.
6. Determination of internal force resultants in bars, beams and cables.
7. Analysis of rigid body structures in the presence of dry friction. Study of wedges, screws, sliding bearings, belts and cables.
8. Second moments of area. The parallel axis theorem. Principal axis of an area.
2. Rigid body. Moment of a force about a point. Couple of forces. Equivalent systems of forces. Distributed forces. Reduction to a resultant force or force-couple.
3. Free body diagram. Equations governing the static equilibrium of rigid bodies in 2D and 3D.
4. Center of gravity, mass and centroid.
5. Static analysis of rigid body trusses, structures and mechanisms in 2D and 3D. Static determinacy.
6. Determination of internal force resultants in bars, beams and cables.
7. Analysis of rigid body structures in the presence of dry friction. Study of wedges, screws, sliding bearings, belts and cables.
8. Second moments of area. The parallel axis theorem. Principal axis of an area.
Teaching Methods
Teaching consists of weekly two hour lectures (theoretical classes) where the course contents are exposed and explained, using examples of application. In addition there are two hour recitations (theoretical-practical classes) where problems are solved using the learned concepts. Two hour tutoring per instructor is weekly available outside classes during all the semester.
The students assessment consists of three written tests [T_i] made along the semester (the date for the last one coincides with the first exam) or a final exam [E_j] (two dates available), and two assignments [A_k], one experimental and the other computational. All elements are marked in the range [0, 20]. There is a minimum mark of 9.0 for any T_i ou E_j.
The final grade [NF] is given by:
N = 0.8 * max((T1+T2+T3)/3 , E1, E2) + 0.2 * (A1+A2)/2;
if (T1 and T2 and T3 or E1 or E2)>= 9.0 then NF = N
else NF = min(N, 9.0);
The student is approved if NF>= 9.5.
The students assessment consists of three written tests [T_i] made along the semester (the date for the last one coincides with the first exam) or a final exam [E_j] (two dates available), and two assignments [A_k], one experimental and the other computational. All elements are marked in the range [0, 20]. There is a minimum mark of 9.0 for any T_i ou E_j.
The final grade [NF] is given by:
N = 0.8 * max((T1+T2+T3)/3 , E1, E2) + 0.2 * (A1+A2)/2;
if (T1 and T2 and T3 or E1 or E2)>= 9.0 then NF = N
else NF = min(N, 9.0);
The student is approved if NF>= 9.5.
Teaching Staff
- José Eugénio Semedo Garção [responsible]
