Applied Mechanics II

Recommended Prerequisites

The student must know how to derive and integrate functions. It is essential that he knows how to characterize forces and draw the force diagrams (Applied Mechanics I).

Teaching Methods

Theoretical classes are taught based on power point slides. Theoretical-practical classes include the solving of applied problems, involving everyday situations and engineering situations. The evaluation has two parts: written evaluation (15 points); a practical work in groups of 2 students (5 val.). The work is any machine, and students must disassemble the equipment and explain in conceptual and quantitative terms how it works. The Working Model program is used during class to visualize different concepts.

Learning Outcomes

The student must have skills to analyze kinematics and dynamics of a particle, rigid body and mechanisms. More specifically, the student must know about: mobility analysis; the basic movements of the rigid body (translation, rotation, flat movement); the kinematic analysis of mechanisms (using the definition or following the path of movement); equivalent inertia of mechanisms; dynamic analyzes of particle and rigid body using Newton's approach; dynamic analysis of mechanisms using energy formulations. O student must also learn basic concepts of mechanical vibrations. The study is based on realistic problems, using an analytical approach and based on Newton's laws, the law of gravitational attraction and the non-deformation of bodies. The situations analyzed are located on the Earth's surface, where bodies are subject to its gravitational force and the action of the atmosphere.

Work Placement(s)

No

Syllabus

1. Forces and Diagram of forces; Mobility Analysis. 2. Particle kinematics; Rigid Body Kinematics: Movements of translation, rotation about an axis and plane movement; Kinematics of mechanisms: different types of mechanisms (rotation-rotation; translation-rotation; 4 bars; etc.); Machines as groupings of mechanisms. 3. Particle dynamics; Rigid body dynamics: Inertia of translation, rotation and equivalent inertia (mechanisms); Fundamental theorems of dynamics; Dynamics of a rigid body; Energetic formulations of dynamics (kinetic energy, work and power, theorems of kinetic energy and mechanical energy, Lagrange equations). 4. Mechanical vibrations of systems with a degree of freedom in free and forced vibration.

Head Lecturer(s)

Fernando Jorge Ventura Antunes

Assessment Methods

Assessment
Project: 25.0%
Exam: 75.0%

Bibliography

F. Antunes, “Mecânica Aplicada – Uma abordagem prática”, Lidel – Edições Técnicas, Lda,, 2012

 

Ferdinand P. Beer, David F. Mazurek e E. Russell Johnston, “Vector Mechanics for Engineers: Statics and Dynamics”, McGraw-Hill, 12ª Edição, 2019, ISBN: 125963809X

J. L. Meriam, L. G. Kraige, "Engineering Mechanics: Dynamics", Wiley, 2015, ISBN: 1119022533