Subject 1: Equilibrium in deformable bodies - Body and surface forces - Concept of stress - Stress tensor - Stress equations of equilibrium - Stationary stresses Subject 2: 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 3: Constitutive equations - Behaviour laws - Hyperelastic behaviour - Linear elastic behaviour - Material symmetries - Physical meaning of the constants Subject 4: Differential formulation - Elasticity equations - Boundary and contact conditions - Displacement (Navier) formulation - Stress (Michell-Beltrami) formulation Subject 5: Integral formulation and principles (I) - Theorem of Virtual Works - Clapeyron theorem - Theorem of Minimum Potential Energy Subject 6: Integral formulation and principles (II) - Reciprocity Theorems - General Principles Subject 7: Failure criteria - Failure by yielding - Haig-Westergaard representation - Von Mises-Hencky-Nadai yield criterion - Tresca-Guest yield criterion - Alternate yield criteria - Equivalent stress and safety factor Subject 8: 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 9: Two dimensional theory of Elasticity (II) - Elasticity in polar coordinates - Plane Elasticity in term of displacement - Plane Elasticity in terms of stresses Subject 10: Bending in beams - Kinematic hypotheses - Normal stresses in beams - Neutral axis Subject 11: Torsion - Kinematic hypotheses - Displacement formulation - Stress formulation - Circular cross sections CHAPTER 5. DEFLECTIONS OF BEAMS (Nºof sessions: 3) Subject 12: Deflections of beams (I) - Equilibrium equations of beams - Internal forces and moments equations - Deflections by integration of the internal forces- and moment-equations (Navier-Bresse equations) Subject 13: Deflections of beams (II) - Moment-area method(Mohr¿s theorems) - Differential equation of the deflection curve (Euler and Timoshenko beams) - Kinematic definitions - Static definitions - Introduction to the displacement (or stiffness) method

AF1. THEORETICAL-PRACTICAL CLASSES. Knowledge and concepts students mustacquire. Receive course notes and will have basic reference texts.Students partake in exercises to resolve practical problems AF2. TUTORING SESSIONS. Individualized attendance (individual tutoring) or in-group (group tutoring) for students with a teacher.Subjects with 6 credits have 4 hours of tutoring/ 100% on- site attendance. AF3. STUDENT INDIVIDUAL WORK OR GROUP WORK.Subjects with 6 credits have 98 hours/0% on-site. AF8. WORKSHOPS AND LABORATORY SESSIONS. Subjects with 3 credits have 4 hours with 100% on-site instruction. Subjects with 6 credits have 8 hours/100% on-site instruction. AF9. FINAL EXAM. Global assessment of knowledge, skills and capacities acquired throughout the course. It entails 4 hours/100% on-site AF8. WORKSHOPS AND LABORATORY SESSIONS. Subjects with 3 credits have 4 hours with 100% on-site instruction. Subjects with 6 credits have 8 hours/100% on-site instruction. MD1. THEORY CLASS. Classroom presentations by the teacher with IT and audiovisual support in which the subject`s main concepts are developed, while providing material and bibliography to complement student learning MD2. PRACTICAL CLASS. Resolution of practical cases and problem, posed by the teacher, and carried out individually or in a group MD3. TUTORING SESSIONS. Individualized attendance (individual tutoring sessions) or in-group (group tutoring sessions) for students with teacher as tutor. Subjects with 6 credits have 4 hours of tutoring/100% on-site. MD6. LABORATORY PRACTICAL SESSIONS. Applied/experimental learning/teaching in workshops and laboratories under the tutor's supervision.