Educational guide 2019_20
Escola de Enxeñería Industrial
Degree in Industrial Technologies Engineering
 Subjects
  Mechanics of materials
   Contents
Topic Sub-topic
1. Introduction 1.1 Introduction
1.2 Review of statics fundamentals and applied concepts for further
progress in solid mechanics and stress analysis
2. Basic principles of elasticity and mechanics of
materials.
2.0 Stress and strain. Linear elastic materials
2.1. Normal stress in an axially loaded prismatic bar.
2.2. Equilibrium of a deformable body.
2.3. Stress-Strain diagram of ductile materials. Hooke’s Law.
2.4. Stress resultants. Diagrams.
3. Axial loads 3.1. Normal forces.
3.2. Elastic deformation of an axially loaded member.
3.3. Statically governed problems.
3.4. Statically indeterminate problems.
3.5. Thermal stress and assembly misfits.
4. Bending and shear 4.1 Beams: definition and types. Loads on beams.
4.2 Internal shear forces and bending moments.
4.3 External load, shear force and bending moment relationships.
4.4 Shear and moment diagrams
4.5 Pure bending and non-uniform bending. Hypothesis and limitations.
4.6. Normal stresses in unsymmetric bending.
4.7 Symmetric bending. The flexure formula (Navier’s Law).
4.8 Section modulus of a beam. Ideal beam cross-section.
4.9 Deflection of beams and shafts. Slope and deflection.
4.10 Hyperstatic bending.
4.11 The shear formula.
5. Introduction to compressive buckling 4.1. Definition
4.2. Critical load. Euler's formula.
4.3. Limitations of Euler's formula.
4.4. Practical applications.
6. Introduction to torsion 6.1. Definition.
6.2. Torsion in circula shafts.
6.3. Torque diagrams..
6.4. Torsional stresses and deformations.
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