 ## Syllabus 2019-20 - 14612007 - Elasticity and strength of materials 2 (Elasticidad y resistencia de materiales II)

Caption
• Level 1: Tutorial support sessions, materials and exams in this language
• Level 2: Tutorial support sessions, materials, exams and seminars in this language
• Level 3: Tutorial support sessions, materials, exams, seminars and regular lectures in this language
 DEGREE: Grado en Ingeniería mecánica (14612007) FACULTY: SCHOOL OF ENGINEERING OF LINARES DEGREE: Doble grado en Ingeniería eléctrica e Ingeniería mecánica (14812011) FACULTY: SCHOOL OF ENGINEERING OF LINARES ACADEMIC YEAR: 2019-20 COURSE: Elasticity and strength of materials 2
SYLLABUS
1. COURSE BASIC INFORMATION
 NAME: Elasticity and strength of materials 2 CODE: 14612007 (*) ACADEMIC YEAR: 2019-20 LANGUAGE: English LEVEL: 1 ECTS CREDITS: 6.0 YEAR: 3 SEMESTER: PC
2. LECTURER BASIC INFORMATION
 NAME: SUÁREZ GUERRA, FERNANDO DEPARTMENT: U121 - INGENIERÍA MECÁNICA Y MINERA FIELD OF STUDY: 605 - MECÁNICA DE MEDIOS CONTINUOS Y TEORÍA DE ESTRUCTUR OFFICE NO.: D - 050 E-MAIL: fsuarez@ujaen.es P: 953648606 WEBSITE: - ORCID: https://orcid.org/0000-0002-8834-104X LANGUAGE: - LEVEL: 1
3. CONTENT DESCRIPTION

Part A: Advanced concepts of Elasticity

CHAPTER I.- Advanced topics on Stresses and Strains

• Introducción
• Cauchy's lemma
• Change of base (coordinate system)
• Octahedral stresses: hydrostatic and deviatoric stress tensors
• Lame's ellipsoid
• Components of the displacement field. Geometrical
• interpretation

CHAPTER II.- The elastic problem. General approach

• The elastic problem
• Elastic constants. Lame's equations
• The elastic problem formulated in terms of displacements. Navier's equations
• The elastic problem formulated in terms of stresses. Beltrami-Mitchell's equations
• Uniqueness of solutions of the elastic problem
• Influence of temperature. The thermoelastic problem

CHAPTER III.- Energy theorems in Elasticity

• Introduction. Strain energy
• Castigliano's theorems
• The Principle of Virtual Works
• Maxwell-Betti's theorem

CHAPTER IV.- Plane theory of elasticity in Cartesian coordinates

• Plane stress
• Plane strain
• Airy's function
• Bending on a cantilever beam under a point load
• Rectangular shape gravity dam

Part B: Advanced concepts on Strength of Materials

CHAPTER V.- Hyperstatic elements

• Hyperestaticity degree of a system
• Method based on Mohr's theorems
• The thee-moments theorem
• Method based on the Principel of Virtual Works
• Method based on Castigliano's theorem

CHAPTER VI: Advanced topics on bending

• Introduction
• Shear stresses on thin-walled sections
• Shear centre
• Curved beams
• Composite beams
• Plastic limit on cross sections

CHAPTER VII: Advance topics on buckling

• Slender beams under bending and compression
• Lateral buckling
• Buckling on rings, archs and curved bars
• Buckling on slabs
• Buckling of envelopes

CHAPTER VIII.- Torsion

• Pure Torsion. Torsion on circular shafts.
• Diagram of torques on a beam.
• Torsion on non-circular shafts
• Membrane analogy
• Torsion on closed thin-walled cross-sections
• Torsion on open thin-walled cross-sections

Part C: Standard : EAE-2011

CHAPTER IX.- Basis of a Project

• Verifying a structural element. ULS and SLS
• Steel
• Axis and notations
• Calculation methods
• Cross-section types

CHAPTER X.- ULS on cross-sections

• Strength of a section and nomenclature
• Strength of a section under tension/compression
• Strength of a section under shear
• Strength of a section under bending
• Strength of a section under torsion

CHAPTER XI.- ULS on elements

• Tension
• Compression
• Bending

CHAPTER XII.- SLS and Fatigue

• Strains and deflections
• Vibrations
• Fatigue

4. COURSE DESCRIPTION AND TEACHING METHODOLOGY

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

5. ASSESSMENT METHODOLOGY

1. Attendance and participation (10%)
• Attendance will be controlled in the practical sessions and the active participation of the student will be taken into account.
1. Theoretical concepts (70%)
• 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: 8,9,10,11,12 y 13
• The following skills are assessed: CB2, CB3, CEM4, CT2
1. Lab practical sessions / usage of ICT tools (20%)
• 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: 8,9,10,11,12 y 13
• The following skills are assessed: CB2, CB3, CB4, CB5, CEM4, CT2, CT4 y CT6

6. BOOKLIST
MAIN BOOKLIST:
• Asymptotic methods in the buckling theory of elastic shells [Recurso electrónico]. Edition: -. Author: Tovstik, P. E. Publisher: Singapore ; River Edge, N.J. : World Scientific, 2001  (Library)
• Asymptotic methods in the buckling theory of elastic shells [Recurso electrónico] . Edition: -. Author: Tovstik, P. E. Publisher: Singapore &#59; River Edge, N.J. : World Scientific, 2001  (Library)