Applied Mechanics I

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Objectives

Provide the students with a solid background in the field of Statics of Rigid Bodies, Geometry of Masses and Kinematics of Rigid Bodies.

Program

Introduction: Concepts of Mass and Force; Action and Reaction; External Forces.
Statics of Rigid Bodies : Moment of a Force about a Point and about a given Axis; Moment of a Couple; Equivalent Systems of Forces; Equilibrium of a Rigid Body in Two and Three Dimensions; Distributed Loads on Beams.
Trusses: Simple and Space Trusses; Method of Joints and Method of Sections; Joints under Special Loading Conditions.
Structures and Machines: Structures which cease to be rigid when detached from their supports; Friction. Principle of Virtual Work: Real Machines; Work of a Force; Potential Energy and Equilibrium; Stability.
Geometry of Masses: Center of Mass; Moments of Area and Inertia; Inertia Tensor.
Kinematics of Rigid Bodies: Rotation; Plano Motion; Instantaneous Center of Rotation; Absolute and Relative Acceleration; General motion; Motion of a Particle in Three Dimensions relative to a Rotating Frame.

Teaching Methodologies

The Final Grade consists of three independent assessment components:
- Laboratory work performed in group, evaluated based on a written report (15%)
- Individual tests in class (35%)
- Final written exam (50%)
The teaching methodologies aim to promote learning based on problem solving and laboratorial work, reinforcing the practical component, active learning, autonomous work and student accountability. The assessment model incorporates elements of continuous assessment in the context of active learning compatible with the significant reduction of assessment by exams.

Bibliography

Vector Mechanics for Engineers: Statics and Dynamics, F.P. Beer, E.R. Johnston Jr., D. Mazurek, P.J. Cornwell, B. Self, 2019,McGraw-Hill Education; Engineering Mechanics: Statics; J.L. Meriam, L.G. Kraige, J.N. Bolton; 2018, Wiley.

Code

0105012

ECTS Credits

6

Classes

  • Práticas e Laboratórios - 28 hours
  • Teóricas - 28 hours

Evaluation Methodology

  • Mini Tests: 35%
  • Exam: 50%
  • Laboratory work or Field work: 15%