Applied Mechanics I A
Code
10492
Academic unit
Faculdade de Ciências e Tecnologia
Department
Departamento de Engenharia Mecânica e Industrial
Credits
6.0
Total hours
70
Teaching language
Português
Objectives
The main objective of Applied Mechanics I is to provide the students the ability to:
- Solve problems involving the equilibrium of a particle and a rigid body.
- Calculate the position of the center of gravity of a body or a composite body.
- Carry out the analysis of trusses or a simple machine.
- Determinate the internal beam forces, shear and moment equations and diagrams, relations between distributed load, shear, and moment.
- Solve problems involving dry friction.
- Determinate the moments of inertia of simple and complex rigid bodies.
- Solve problems using the Principal of Virtual Work.
Simultaneously, through the teaching and learning practices, the students will develop their skills in problem solving and critical thinking and communication.
Prerequisites
An adequate performance in this discipline requires a satisfactory background in Mathematical Analysis II and Physics I.
Subject matter
1. General principles.
2. Free-Body Diagrams.
3. Equilibrium of a particle.
- Coplanar force systems;
- Three-dimensional force systems.
4. Equilibrium of a rigid body.
- Equilibrium in two dimensions;
- Equilibrium in three dimensions;
- Constraints for a rigid body.
5. Center of gravity and centroid:
- Surfaces and curves;
- Bodies.
6. Structural analysis:
- Trusses;
- Simple machines.
7. Internal forces in beams:
- Internal forces developed in structural members;
- Normal, Shear and Moment equations and diagrams;
- Relations between distributed load, shear, and moment.
8. Friction:
- Characteristics of dry friction.
- Problems involving dry friction.
9. Moments of inertia:
Moments of inertia for areas:
- Parallel-axis theorem for an area;
- Radius of gyration of an area;
- Moments of inertia for an area by integration:
- Radius of gyration of an area;
- Moments of inertia of compose areas;
- Product of inertia;
- Axes and principal moments of inertia.
Mass Moments of inertia.
10. Principal of Virtual Work
Bibliography
Vector Mechanics for Engineers – Statics, 7º Edition 2006
Ferdinand P. Beer, E. Russell Johnston & Elliot R. Eisenberg
Mc Graw Hill
or
Statics ( Engineering Mechanics) -12 Edition
Hibbeler, R. C.
Pearson Prentice Hall
Teaching method
Theoretical lectures and laboratory sessions.
Evaluation method
Continuous evaluation includes one group project (TR) and two quizzes (T1, T2). There is also the possibility to succeed in a final exam (E).
The project is mandatory and account 20% for the final grade. In order to be able to access the final exam, the minimum score of 10 must be attained
Each quiz has a weight of 40% in the final grade. The minimum score of 9,5 must be attained for the average of the classifications obtained in quizzes in order to succeed continuous evaluation.
The quizzes will be solved on Saturdays 2 November (T1) and 7 December (T2), due to the great number of students involved.
In order to succeed evaluation trough exam, a minimum score of 9,5 must be attained at the exam grade (E).
Final Grade (Continuous Evaluation) = 0,4 x (T1 + T2 ) + 0,2 x TR
Final Grade (Exam) = 0,8 x E + 0,2 x TR