Universidad de Jaén

Part A: ELASTICITY

CHAPTER I.- Introduction to Elasticity

• Introduction to Continuum Mechanics
• The elastic solid and its properties
• Hypothesis and principles

CHAPTER II.- Stresses

• The concept of stress
• Equilibrium equations
• Principal stresses. Invariants
• Plane stress
• Graphical representation of stresses. Mohr's circles

CHAPTER III.- Strains

• Introduction. Changes of volume and shape
• The concept of strain
• Strain tensor. Properties
• Compatibility equations
• Plane strain

CHAPTER IV.- Stress-strain relation

• The tensile test
• Transverse strain. Poisson's ratio
• Stress-strain relation. Hooke's law

CHAPTER V.- Energy methods in Elasticity

• Introduction. Strain energy
• Expression of the strain energy
• Yield criteria. Von Mises stress
• Energy theorems

Part B: STRENGTH OF MATERIALS

CHAPTER VI.- Basic concept of Strength of Materials

• Introduction
• Definition of loads on a cross-section
• General principles of the Strength of Materials
• External equilibrium and cross-section equilibrium
• Types of supports. Reactions
• Isostatic and hyperstatic systems

CHAPTER VII.- Tension and compression

• Stresses due to tension or compression
• Axial forces diagrams
• Strains due to axial forces
• Tension or compression due to self-weight

CHAPTER VIII.- Torsion

• Pure torsion. Torsion on circular shafts
• Torques

CHAPTER IX.- General theory of bending

• Pure bending. Navier's law
• Relation between shear and bending moment
• Diagrams of bending moments and shear forces
• Stresses due to shear. Collignon's theorem
• Principal stresses and Von Mises stress in bending

CHAPTER X.- Strain due to bending

• Differential equation for the elastic curve of a beam
• Double integration method
• Mohr's theorems
• Deflection due to shear
• Composite sections

CHAPTER XI.- Biaxial bending and bending under tension/compression

• Introduction
• Biaxial bending. Neutral axis
• Strains due to biaxial bending
• Bending under tension/compression.
• Neutral axis for bending under tension/compression

CHAPTER XII.- Buckling

• Introduction. Stability of columns
• Euler's formula
• Critical load depending on supports. Buckling length

Part C: STRUCTURAL ANALYSIS CLASSICAL METHODS

CHAPTER XIII.- Structural analysis classical methods

• Introduction to Structural Analysis
• Pinned structures. Isostatic trusses
• Pinned structures. Hyperstatic trusses

PRACTICAL SESSIONS

There will be five practical tasks related to several topics explained in the theory classes. In each of them, the student will have to write a report solving a given problem.

Not required.

Students with special educational needs should contact the Student Attention Service (Servicio de Atención y Ayudas al Estudiante) in order to receive the appropriate academic support

1. Attendance and participation (5%)

• Attendance will be controlled in the practical sessions and the active participation of the student will be taken into account. A minimum of 70% of attendance to theory classes is required.

1. Theoretical concepts (90%)

• Final exam with theory questions and problems. A mark over 0 will be required for the theory part of the exam. The weight of the theory will be 20% and the weight of the problems 80%.
• The following learning results are assessed: 3
• The following skills are assessed: CC4 y CG1

1. Lab practical sessions / usage of ICT tools (5%)

• Practical sessions related with the content of the theory classes will be given. The student will have to prepare a report for each of the practical tasks and the average mark of these reports must be equal or over 5 in order to pass the practical part of the subject. To pass this subject, the student must pass both, the final exam and the practical tasks. If a student does not pass the practical part, he will not be able to pass the subject in the Ordinary exam (Convocatoria Ordinaria) and will have to sit an exam on the practical part for the Extraordinary exam (Convocatoria Extraordinaria)
• The following learning results are assessed: 3
• The following skills are assessed: CC4 y CG1