Applied Mechanics IA
Code
7205
Academic unit
Faculdade de Ciências e Tecnologia
Department
Departamento de Engenharia Mecânica e Industrial
Credits
7.5
Teacher in charge
Raquel Albuquerque Soares Brás de Almeida
Weekly hours
5
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.
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