## Syllabus 2018-19 - 14712008 - Elasticity and strength of materials (Elasticidad y resistencia de materiales)

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 eléctrica (14712008)
FACULTY: SCHOOL OF ENGINEERING OF LINARES

DEGREE: Grado en Ingeniería química industrial (14412007)
FACULTY: SCHOOL OF ENGINEERING OF LINARES

DEGREE: Doble grado en Ingeniería eléctrica e Ingeniería mecánica (14812010)
FACULTY: SCHOOL OF ENGINEERING OF LINARES

DEGREE: Grado en Ingeniería mecánica (14612006)
FACULTY: SCHOOL OF ENGINEERING OF LINARES

DEGREE: Doble grado en Ingeniería eléctrica e Ingeniería química industrial (14912010)
FACULTY: SCHOOL OF ENGINEERING OF LINARES

SYLLABUS
1. COURSE BASIC INFORMATION
 NAME: Elasticity and strength of materials CODE: 14712008 (*) ACADEMIC YEAR: 2018-19 LANGUAGE: English LEVEL: 2 ECTS CREDITS: 6.0 YEAR: 2 SEMESTER: SC

2. LECTURER BASIC INFORMATION
 NAME: FERNÁNDEZ ACEITUNO, JAVIER DEPARTMENT: U121 - INGENIERÍA MECÁNICA Y MINERA FIELD OF STUDY: 605 - MECÁNICA DE MEDIOS CONTINUOS Y TEORÍA DE ESTRUCTUR OFFICE NO.: D - D44 E-MAIL: jaceitun@ujaen.es P: 953648619 WEBSITE: https://www.uja.es/departamentos/ingmec/contactos/fernandez-aceituno-javier LANGUAGE: - LEVEL: 2
3. CONTENT DESCRIPTION

Block A: THEORY OF ELASTICITY

LESSON I.- INTRODUCTION TO ELASTICITY

Introduction to the mechanics of continuous media.
The elastic solid. Properties. .
Hypothesis and principles of elasticity.

LESSON II.- Stress

The stress concept.
Conditions of equilibrium.
Principal stresses. Invariant properties.
Plane Stress.
Graphic representation of stresses. Mohr's circles.

LESSON III.-Strain.

Changes of volume and shape.
The strain concept.
The strain matrix. Properties.
Compatibility equations.
Plane Strain.

LESSON IV.- Stress- strain relationship.

The tensile test.
Lateral strain. Poisson's coefficient.
Stress-strain relationship. Hooke's law.
Lame's equations.

LESSON V.- The Energy approach of elasticity.

Strain energy.
Strain energy expressions.
Castigliano's theorem.
Yielding criteria. von Mises's stress.

LESSON VI.- Thin-walled Vessels

Thin-walled Vessels.
Cylindrical and Spherical vessels subjected to internal pressure.
Cylindrical open liquid tanks.
Cylindrical pipes subjected to pressure.

Block B: Strength of Materials

LESSON VII.- Basic Concepts of Strength of Materials.

Structural members.
Cross Section stresses. Definitions.
General principles of strength of materials.
External and cross section equilibrium.
Types of supports. Support reactions.
Isostatic and hyperstatic bars.

LESSON VIII.- Tension and Compression.

Stress by uniaxial tension or compression.
Axial force laws and diagrams.
Deformation due to axial force.
Tension or compression produced by own weight of members
Strain energy related to axial force.

LESSON IX.- General Theory of Bending.

Simple Bending. Navier's law.
Relationship between shear force and bending moment.
Bending moment and shear force laws and diagrams.
The ten elemental beams analysis.
Stress produced by shear force. Collignon's theorem.
Principal stresses and von Mises's stress in bending.

LESSON X.- Deflection produced by bending.

Differential equation of the bend line.
The double integration method.
Mohr's theorems in bending.
Strain energy related to simple bending.
Deflection produced by shear force.

LESSON XI.- Biaxial Bending with and without axial force.

Biaxial bending. Neutral axis.
Deflection produced by biaxial bending.
Bending with axial force or eccentric tension/compression. Pressure centre.
Neutral Axis and Kernel in biaxial bending with axial force.

LESSON XII.- Buckling.

Stability of Columns.
Euler´s formula.
Buckling Critical Load according to end conditions.

Practices  (The student will take each year 4 out of 7)

Practice 1: Mechanical behaviour of different materials. Stress-Strain curves.

Practice 2: Electric Extensometry: Tension/Compression. Torsion and Bending.

Practice 3: Stress and strain in cylindrical shells subject to inner pressure.

Practice 4: Bending. Determination of the Bend line. Principle of superposition in bending.

Practice 5: Numerical and Computational analysis of beam structures.

Practice 6: Biaxial bending with axial force

Practice 7: Buckling. Critical load according to end conditions.

4. COURSE DESCRIPTION AND TEACHING METHODOLOGY

LECTURES

During the lectures, the different sections included in the course's syllabus will be developed. Student participation may take place at any time and doubts will be solved at the time. During lectures the problems of the course included in the collections of problems will be solved in a participatory way and discussion of results and resolution methods will be exposed. Selected exercises and practical cases will be solved at the end of each chapter, along with some exams problems.

To complement the learning process, the student will have at hand notes and slides with some of the content of classes. Additionally, collections of problems and previous exams will be also available.

LAB SESSIONS

Practices will be held in the laboratory of the area of mechanics of continuous media and theory of structures. Lab session will be divided in two parts: first, there will be a theoretical introduction along with some exhibition, where the teacher will explain the tasks to be performed using lab equipment; then, student must work on their own and collect data to ellaborate a final report, to be submitted after a few days.

Notes concerning the lab sessions will be available beforehand at the web site of the course. The content of such notes is considered selfcontained, and will allow the student to learn about the theoretical aspects and practical exercises and equipment before going to the lab.

OTHER INFORMATION

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.

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

At the final exam, the score of both theoretical and operating contents of course must be greater than zero in each of part, to pass the exam.

In particular, the theoretical contents' weigth in the final exam is 30%, while the remaining 70% concerns operational exercices (problems)

Additionally, the student is required to pass independently both final exam and lab sessions, in order to pass the course. The learning process associated to the lab sessions will be evaluated by means of a virtual test at the end of the semester, which will ask about content and practical tasks performed by the student at the practices. Additionally, the student will have to turn it the files containing calculations and notes from the lab sessions.

6. BOOKLIST
MAIN BOOKLIST:
• Elasticity in engineering mechanics [Recurso electrónico]. Edition: 3rd ed. Author: Boresi, Arthur P. (Arthur Peter), 1924-. Publisher: Hoboken, N.J. : Wiley, 2011  (Library)
• Elasticity [Recurso electrónico]. Edition: -. Author: Barber, J. R.. Publisher: Dordrecht : Springer Science+Business Media B.V., 2010  (Library)
• Strength of materials [Recurso electrónico] : a unified theory. Edition: -. Author: Patnaik, Surya N.. Publisher: Amsterdam ; Boston : Elsevier Butterworth-Heinemann, c2004.  (Library)
• Static and strength of materials. Edition: 3rd. ed. Author: Morrov, H.W.. Publisher: Upper Saddle River, [etc.]: Prentice Hall, 1998  (Library)