Guia docente 2019_20Escola de Enxeñaría Aeronáutica e do Espazo
 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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