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Syllabus 2016-17 - 13512008 - Elasticity and strength of materials (Elasticidad y resistencia de materiales)

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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 eléctrica (13512008)
FACULTY: SCHOOL OF ENGINEERING OF JAÉN
DEGREE: Grado en Ingeniería de organización industrial (13012005)
FACULTY: SCHOOL OF ENGINEERING OF JAÉN
DEGREE: Grado en Ingeniería electrónica industrial (13112006)
FACULTY: SCHOOL OF ENGINEERING OF JAÉN
DEGREE: Grado en Ingeniería mecánica (13412006)
FACULTY: SCHOOL OF ENGINEERING OF JAÉN
ACADEMIC YEAR: 2016-17
COURSE: Elasticity and strength of materials
SYLLABUS
1. COURSE BASIC INFORMATION
NAME: Elasticity and strength of materials
CODE: 13512008 (*) ACADEMIC YEAR: 2016-17
LANGUAGE: English LEVEL: 2
ECTS CREDITS: 6.0 YEAR: 2 SEMESTER: SC
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
ORCID: https://orcid.org/0000-0002-1532-2550
LANGUAGE: - LEVEL: 2
NAME: JIMÉNEZ GONZÁLEZ, JOSÉ IGNACIO
DEPARTMENT: U121 - INGENIERÍA MECÁNICA Y MINERA
FIELD OF STUDY: 605 - MECÁNICA DE MEDIOS CONTINUOS Y TEORÍA DE ESTRUCTUR
OFFICE NO.: A3 - 028 E-MAIL: jignacio@ujaen.es P: 953213310
WEBSITE: http://www.fluidsujaen.es/author/jignacio/
ORCID: https://orcid.org/0000-0001-6669-9000
LANGUAGE: - LEVEL: 2
3. CONTENT DESCRIPTION

Block A: THEORY OF ELASTICITY

LESSON I.- INTRODUCTION TO ELASTICITY

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

LESSON II.- Stress

  1. The stress concept.
  2. Conditions of equilibrium.
  3. Principal stresses. Invariant properties.
  4. Plane Stress.
  5. Graphic representation of stresses. Mohr’s circles.

LESSON III.-Strain.

  1. Changes of volume and shape.
  2. The strain concept.
  3. The strain matrix. Properties.
  4. Compatibility equations.
  5. Plane Strain.

LESSON IV.- Stress- strain relationship.

  1. The tensile test.
  2. Lateral strain. Poisson’s coefficient.
  3. Stress – strain relationship. Hooke’s law.
  4. Lame’s equations.

LESSON V.- The Energy approach of elasticity.

  1. Strain energy.
  2. Strain energy expressions.
  3. Castigliano’s theorem.
  4. Yielding criteria. von Mises’ stress.

LESSON VI.- Thin-walled Vessels

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

Block B: Strength of Materials

LESSON VII.- Basic Concepts of Strength of Materials.

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

LESSON VIII.- Tension and Compression.

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

LESSON IX.- General Theory of Bending.

  1. Simple Bending. Navier’s law.
  2. Relationship between shear force and bending moment.
  3. Bending moment and shear force laws and diagrams.
  4. The ten elemental beams analysis.
  5. Stress produced by shear force. Collignon’s theorem.
  6. Principal stresses and von Mises’ stress in bending.

LESSON X.- Deflection produced by bending.

  1. Differential equation of the bend line.
  2. The double integration method.
  3. Mohr’s theorems in bending.
  4. Strain energy related to simple bending.
  5. Deflection produced by shear force.

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

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

LESSON XII.- Buckling.

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

LESSON XIII.- Torsion.

  1. Pure Torsion. Circular shaft subjected to torsion.
  2. Determination of torque.
  3. Strain energy related to torque.

Practices

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

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

Practice 3: Bending. Determination of the Bend line. Principle of superposition in bending.

Practice 4: Biaxial bending with axial force.

Practice 5: Buckling. Critical load according to end conditions.

 

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 the laboratory of the area of mechanics of continuous media and theory of structures. They will have two parts, an exhibition, where the teacher will explain the tasks to be performed and some work of students about lab equipment.

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

6. BOOKLIST
MAIN BOOKLIST:
  • Manual de resistencia de materiales. Edition: -. Author: Pisarenko, G. S.. Publisher: Moscú: Mir, cop. 1979  (Library)
  • Mecánica de materiales. Edition: 4ª ed.. Author: Beer, Ferdinand P.. Publisher: México [etc.] : McGraw-Hill, cop. 2006  (Library)