 ## Syllabus 2018-19 - 13412007 - Elasticity and strength of materials 2 (Elasticidad y resistencia de materiales II)

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• 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 (13412007)
FACULTY: SCHOOL OF ENGINEERING OF JAÉN

DEGREE: Doble Grado en Ingeniería mecánica e Ingeniería electrónica industrial (13912009)
FACULTY: SCHOOL OF ENGINEERING OF JAÉN

DEGREE: Doble grado en Ingeniería mecánica e Ingeniería de organización industrial (13812008)
FACULTY: SCHOOL OF ENGINEERING OF JAÉN

DEGREE: Doble grado en Ingeniería eléctrica e Ingeniería mecánica (13612010)
FACULTY: SCHOOL OF ENGINEERING OF JAÉN

SYLLABUS
1. COURSE BASIC INFORMATION
 NAME: Elasticity and strength of materials 2 CODE: 13412007 (*) ACADEMIC YEAR: 2018-19 LANGUAGE: English LEVEL: 2 ECTS CREDITS: 6.0 YEAR: 3 SEMESTER: PC

2. LECTURER BASIC INFORMATION
 NAME: CARAZO ÁLVAREZ, JUAN DE DIOS DEPARTMENT: U121 - INGENIERÍA MECÁNICA Y MINERA FIELD OF STUDY: 605 - MECÁNICA DE MEDIOS CONTINUOS Y TEORÍA DE ESTRUCTUR OFFICE NO.: A3 - 027 E-MAIL: jdcarazo@ujaen.es P: 953212829 WEBSITE: http://www10.ujaen.es/conocenos/departamentos/ingmec/4818 LANGUAGE: - LEVEL: 2
3. CONTENT DESCRIPTION

Block A: Advance Concepts of Elasticity

LESSON I. - Advance Aspects on Stresses and Strains

1. Introduction
2. Cauchy´s equation
3. Coordinates transformation.
4. Octahedral stresses. Deviatoric and Spherical stress tensors.
5. Lame´s Ellipsoid.
6. General components of the displacement field. Geometrical approach .

LESSON II. - General approach of Elastic Problem.

1. The Elastic Problem.
2. Elastic Constants. Lame´s equations.
3. Displacement approach to the elastic problem. Navier´s equations.
4. Stresses approach to the elastic problem. Beltrami-Michel equations.
5. Unicity of the elastic problem solution.
6. Temperature influence. The thermoelastic problem.

LESSON III. - Energetic theorems in Elasticity.

1. Strain energy.
2. Castigliano´s theorem.
3. The virtual work principle.
4. The reciprocity theorem of Maxwell-Betti

LESSON IV. - Bidimensional Elasticity in Cartesian Coordinates

1. Plane stress.
2. Plane strain.
3. Airy stress function.
4. Bending of a cantilever loaded at the free end.
5. Gravity dam of rectangular profile.

Block B: Advanced concepts of strength of materials

LESSON V. - Hyperstatic Elements

1. Hyperstatic degree of a system.
2. Resolution of Hyperstatic Axial Problems
3. Method based on Mohr´s theorems.
4. Theorem of three moments.
5. Method based on the Virtual Work Principle.
6. Method based on the use of Castigliano´s theorem.

LESSON VI. - Advance Bending

1. Introduction
2. Shear in low thickness sections.
3. Shear centre.
4. Curve beams.
5. Composite beams.
6. Plastic faliure of sections.

LESSON VII. - Advance Buckling

1. Combined bending in slender beams.
2. Lateral buckling.
3. Buckling of rings and curved bars.
4. Buckling of plates.
5. Buckling of Shells

LESSON VIII. - Torsion

1. Pure Torsion. Torsion of  a circular shaft.
2. Determination of Torques.
3. Torsion of non-circular sections.
4. Membrane analogy.
5. Torsion at thin-walled close profiles.
6. Torsion at thin-walled open profiles.
7. Strain Energy of torque.

Block C: National Standards: EAE-2011 (Eurocodes)

LESSON IX. - Basis of Design

1. Ultimate Limits States and Serviceability Limits States.
2. Structural Steel.
3. Notation and axes.
4. Methods of Analysis
5. Classification of cross sections.

LESSON X. - Ultimate Limit States. Resistance of Cross Sections

1. Section Properties.
2. Tension
3. Shear
4. Compression
5. Bending
6. Torsion

LESSON XI. - Ultimate Limit States. Buckling Resistance of Members

1. Tension
2. Compression
3. Bending

LESSON XII. - Serviceability Limit States.

1. Vertical and horizontal deflections.
2. Vibrations
3. Fatigue

Practice 1: Elasticity problems Excel calculator.

Practice 2: Hyperstatic bending.

Practice 3: Classification of cross sections.

Practice 4: Buckling of columns

Practice 5: Lateral Buckling

4. COURSE DESCRIPTION AND TEACHING METHODOLOGY

During the lectures, the sections of the official program of the subject will be developed. Student participation may take place at any time and doubts will be solved at the time. In the lectures the problems of the subject included in the collections of problems will be solved in a participatory way and discussion of results and resolution methods will be exposed. Practices will be held in a computer room. They will have two parts, an exhibition, where the teacher will explain the tasks to be performed and some personal work of students.

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

During theoretical examination, the score of both: theoretical contents and operating of matter must be greater than zero in each of these parts.

The weight of the theoretical contents in the examination is 30% compared to 70% of operational contents (problems)

To pass the course will require to overcome independently both the theoretical exam as practices.

The use of the fundamentals of elasticity and strength of materials without making mistakes concept is especially evaluated. Also, special attention to operational solving ability without errors of statically indeterminate systems and the application of current standards for dimensioning and testing of elements will be provided. The application of the theory of elasticity in solving problems of real solids is also taken into account.

6. BOOKLIST
MAIN BOOKLIST:
• Strength of materials and structures [Recurso electrónico]. Edition: 4th ed.. Author: Case, John, 1888-1969. Publisher: London ; New York : Arnold, 1999.  (Library)
• Theory of elastic stability. Edition: 2nd ed.. Author: Timoshenko, Stephen P.. Publisher: Mineola, New York : Dover Publications, 1989  (Library)