Guia docente 2019_20
Escuela de Ingeniería Aeronáutica y del Espacio
Grao en Enxeñaría Aeroespacial
 Subjects
  Resistance of materials and resilience
   Contents
Topic Sub-topic
1.- Introduction to the study of elasticity and strength of materials 1.1.- Aim of elasticity and strength of materials.
1.2.- Concept of deformable solid.
1.3.- The beam element.
1.4.- Static equilibrium and elastic equilibrium.
1.5.- Stress resultants.
1.6.- Concept of stress.
2.- Internal forces 2.1.- Introduction.
2.2.- Internal forces in a beam.
2.3.- Relations between internal forces and external forces.
2.4.- Sign convention.
2.5.- Relations among load, shear, and
bending moment.
2.6.- Internal forces diagrams.
3.- Axial loading 3.1.- Introduction.
3.2.- Stresses.
3.3.- Strains.
3.4.- Statically indeterminate problems.
4.- Bending 4.1.- Pure bending.
4.2.- Symmetric and unsymmetric bending.
4.3.- Bending and axial loading.
4.4.- Deflections due to bending.
4.5.- Differential equation for deflection.
4.6.- Mohr's theorems.
4.7.- The conjugate-beam method.
4.8.- Statically indeterminate beams.
5.- Torsion 5.1.- Circular section.
6.- Energy methods in structural analysis 6.1.- Introduction.
6.2.- Strain energy of a beam.
6.3.- Maxwell-Betti reciprocal work theorem.
6.4.- Castigliano's theorem.
7.- Stress analysis 7.1.- Components of the stress vector.
7.2.- Equilibrium of the elementary parallelepiped.
7.3.- Stress tensor.
7.4.- Principal stresses and directions.
7.5.- Spherical and deviatoric stress tensors.
7.6.- Mohr's circle.
8.- Strain analysis 8.1.- Deformation of the elementary parallelepiped.
8.2.- Concept of strain.
8.3.- Strain tensor.
8.4.- Principal strains and directions.
8.5.- Changes of volume, area and length.
8.6.- Mohr's circle.
9.- Elastic solid 9.1.- Mechanical behaviour of the materials.
9.2.- Material constitutive models.
9.3.- The linear elastic model.
9.4.- Two-dimensional elasticity.
9.5.- The elastic problem.
9.6.- Yielding criteria.
10.- Matrix analysis of structures 10.1.- Introduction to the direct stiffness method.
10.2.- Stiffness matrix of truss and beam elements.
10.3.- Global stiffness matrix assembly.
10.4.- Application of the boundary conditions.
10.5.- Response of the structure: displacements, support reactions and member forces.
10.6.- Particular cases.
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