We strongly advise you not to take this course if you have not passed - Mecánica de Estructuras - Cálculo I y II - Álgebra

RA1 Knowledge and Understanding RA2 Engineering Analysis RA3 Engineering Design RA4 Investigations RA5 Engineering Practice RA6 Transferable Skills CB1 CB2 CG1 CG3 CG9 CG19 ECRT2

CHAPTER 1. INTRODUCTION TO SOLID MECHANICS Subject 1: Kinematic of deformable bodies - Motion: Basic concepts - Strain Tensor - Infinitesimal strain - Geometrical meaning of the components of infinitesimal strain tensor - Principal Strains - Equations of compatibility Subject 2: Equilibrium in deformable bodies - Body and surface forces - Concept of stress - Stress tensor - Stress equations of equilibrium - Stationary stresses Subject 3: Constitutive equations - Behaviour laws - Hyperelastic behaviour - Linear elastic behaviour - Material symmetries - Physical meaning of the constants Subject 4: Failure criteria - Failure by yielding - Haig-Westergaard representation - Von Mises-Hencky-Nadai yield criterion - Tresca-Guest yield criterion - Equivalent stress and safety factor CHAPTER 2. INTRODUCTION TO ELASTICITY Subject 5: Formulation of Elasticity equations (I) - Elasticity equations - Boundary and contact conditions - Displacement (Navier) formulation - Stress (Michell-Beltrami) formulation Subject 6: Formulation of Elasticity equations (II) - Theorem of Virtual Works - Superposition Theorem - Saint Venant´s principle Subject 7: Two dimensional theory of Elasticity (I) - Plain Stress and Plain Strain - Plane Elasticity in term of displacement - Plane Elasticity in terms of stresses - Methods of solutions - Mohr´s circle in 2D Subject 8: Two dimensional theory of Elasticity (II) - Elasticity in polar coordinates - Plane Elasticity in term of displacement - Plane Elasticity in terms of stresses CHAPTER 4. INTRODUCTION TO STRENGTH OF MATERIALS Subject 9: Bending in beams (I) - Fundamentals concepts - External and internal forces - Equilibrium equations - Kinematic hypotheses - Normal stresses in beams Subject 10: Bending in beams (II) - Neutral axis - Shear stresses - Sections with symmetries Subject 11: Torsion - Kinematic hypotheses - Displacement formulation - Stress formulation - Circular cross sections - Thin-walled cross-sections Subject 12: Deflections of beams - Equilibrium equations of beams - Internal forces and moments equations - Deflections by integration of the internal forces- and moment-equations (Navier-Bresse equations) - Moment-area method(Mohr´s theorems) Subject 13: Analysis of hyperstatic beams - Differential equation of the deflection curve (Euler and Timoshenko beams) -- Kinematic definitions - Static definitions - Introduction to the displacement (or stiffness) method

In each week one lecture session (master class) and one practical session (in reduced groups) will be taught. The first is geared to the acquisition of theoretical knowledge, and the second to the acquisition of practical skills related to theoretical concepts. In addition to this sessions four laboratory practical sessions in reduced groups (maximum 20 students) will be impart. Students will have the possibility of individual tutorials.