## Syllabus 2022-23 - 13412007 - 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 (13412007) 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 DEGREE: Doble Grado en Ingeniería mecánica e Ingeniería electrónica industrial (13912009) FACULTY: SCHOOL OF ENGINEERING OF JAÉN ACADEMIC YEAR: 2022-23 COURSE: Elasticity and strength of materials 2
SYLLABUS
1. COURSE BASIC INFORMATION
 NAME: Elasticity and strength of materials 2 CODE: 13412007 (*) ACADEMIC YEAR: 2022-23 LANGUAGE: English LEVEL: 0 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 ORCID: https://orcid.org/0000-0002-1532-2550 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.

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

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

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:
• Theory of elastic stability. Edition: 2nd ed.. Author: Timoshenko, Stephen P.. Publisher: Mineola, New York : Dover Publications, 1989  (Library)
• Eurocódigo 3 : proyecto de estructuras de acero UNE-ENV 1993-1-1. Edition: -. Author: -. Publisher: Madrid: AENOR, 1996  (Library)
• Strength of materials and structures [Recurso electrónico]. Edition: 4th ed.. Author: Case, John, 1888-1969. Publisher: London ; New York : Arnold, 1999.  (Library)
• Mecánica de materiales [Recurso electrónico]. Edition: 9ª ed. Author: Hibbeler, Russell C. Publisher: México D.F. : Pearson, 2017  (Library)
• Mechanics of materials [Recurso electrónico] : an introduction to the mechanics of elastic and plast. Edition: 3rd ed.. Author: Hearn, E. J. (Edwin John). Publisher: Oxford ; Boston : Butterworth-Heinemann, 1997.  (Library)
7. VIRTUAL / CLASSROOM TEACHING SCENARIO

 Teaching activities Format (on-site/online)* Teaching methodology Description A1  Lectures On-site 50% Lectures as scheduled at the classroom assigned to a part of the group and retransmission by video conferencing to the rest, with rotation student periodic, as determined by the Center.   There will be 2 weekly sessions of 2 and 1 hours respectively. In these sessions the teacher explains the concepts corresponding to the contents of the subject, and solves exercises related to the subject studied. Students will have supplementary material in Virtual Teaching. A2R LAB SESSIONS On site 100% Lectures as scheduled at the classroom assigned to a part of the group.   2-hour sessions will take place. The practices will be in computer classrooms. They will have two parts, an exhibition, where the teacher will explain the tasks to be performed and a part of students work. The scripts will be facilitated prior to the realization of the practice in the Virtual Teaching platform. A3R  Tutor hours Online Tutoring will be provided online through GSuite Meet

The Center may vary the attendance percentage depending on the number of students and the capacity of the classroom / laboratory according to sanitary measures. In the case of less than 100% attendance, there will be periodic rotation of students as determined by the Center.

Ordinary call

 Assesment Format (face-to-face / online synchronous or asynchronous) Description Percentage Written test On-site Domain of theoretical content and practical 50% Laboratory / computer practice report. Face-to-face / synchronous online Delivery of practice reports. Structure of the Report. Quality of Documentation and Presentation 25% Practical activities Synchronous online Resolution of practical cases and application exercises 25%

Extraordinary call

 Assesment Format (face-to-face / online synchronous or asynchronous) Description Percentage Written test On-site Domain of theoretical content and practical 50% Laboratory / computer practice report. Face-to-face / synchronous online Delivery of practice reports. Structure of the Report. Quality of Documentation and Presentation 25% Practical activities Synchronous online Resolution of practical cases and application exercises 25%

NOTE: To pass the subject it will be necessary to pass independently both the Exam and the Practices. On the other hand, in the theoretical examination it will be necessary to score both theoretical and operational content of the subject, having a rating greater than zero in each of these parts. The weight of the theoretical contents in the exam will be 30% versus 70% of operational content (problems).

Resources
The following shall be used as synchronous tools:

- Tutorials by videoconference using Google Meet.

As asynchronous tools the following shall be used:

Presentations and solved exercises available in the virtual teaching platform.

-Scripts of practices provided in the virtual teaching platform.
- Consultation of doubts and tutor hours using the virtual teaching platform.

In the multimodal and / or non-face-to-face scenario, when appropriate, the staff involved in teaching, reserves the right not to consent to the capture, publication, retransmission or reproduction of their speech, image, voice and explanations of chair, in the exercise of his teaching functions, within the University of Jaén.

8. VIRTUAL TEACHING SCENARIO

 Teaching activities Format (on-site/online)* Teaching methodology Description A1  Lectures online There will be 3 weekly sessions 1 hour. Classes will consist of asynchronous online classes through ILIAS, with duration equal to the number of hours of classroom teaching of the subject. The videos may be recorded and provided through the platform of the subject. In these videos, the professor exposes and explains the concepts corresponding to the contents of the subject, and exercises related to the studied subject are solved. A2R   LAB SESSIONS online 2-hour sessions will be held. Synchronous practice sessions will be held synchronously in GMeet, and will be recorded and uploaded in the virtual teaching platform. They will have two parts, an expository, where the teacher will explain the tasks to be carried out and a part of students work. The scripts will be provided prior to completing the practice in Virtual Teaching. A3R  Tutor hours Online The tutorials will be carried out online in synchronous mode using GSuite Meet.

Ordinary call

 Assesment Format (face-to-face / online synchronous or asynchronous) Description Percentage Written test Synchronous online Domain of theoretical content and practical 50% Laboratory / computer practice report. Synchronous online Delivery of practice reports. Structure of the Report. Quality of Documentation and Presentation 25% Practical activities Synchronous online Resolution of practical cases and application exercises 25%

Extraordinary call

 Assesment Format (face-to-face / online synchronous or asynchronous) Description Percentage Written test Synchronous online Domain of theoretical content and practical 50% Laboratory / computer practice report. Synchronous online Delivery of practice reports. Structure of the Report. Quality of Documentation and Presentation 25% Practical activities Synchronous online Resolution of practical cases and application exercises 25%

NOTE: To pass the subject it will be necessary to pass independently both the Exam and the Practices. On the other hand, in the theoretical examination it will be necessary to score both theoretical and operational content of the subject, having a rating greater than zero in each of these parts. The weight of the theoretical contents in the exam will be 30% versus 70% of operational content (problems).

Resources
The following shall be used as synchronous tools:

- Tutorials by videoconference using Google Meet.

As asynchronous tools the following shall be used:

Presentations and solved exercises available in the virtual teaching platform.

- Scripts of practices provided in the virtual teaching platform.
- Consultation of doubts and tutor hours using the virtual teaching platform.

In the multimodal and / or non-face-to-face scenario, when appropriate, the staff involved in teaching, reserves the right not to consent to the capture, publication, retransmission or reproduction of their speech, image, voice and explanations of chair, in the exercise of his teaching functions, within the University of Jaén.

DATA PROTECTION CLAUSE (on line exams)

Institution in charge of data processing: Universidad de Jaén, Campus Las Lagunillas, s/n, 23071 Jaén

Data Protection Delegate: dpo@ujaen.es

Purpose: In accordance with the Universities Law and other national and regional regulations in force, carrying out exams and assessment tests corresponding to the courses students are registered in. In order to avoid frauds while sitting the exam, the exam will be answered using a videoconference system, being able the academic staff of the University of Jaén to compare and contrast the image of the person who is answering the exam with the student's photographic files. Likewise, in order to provide the exam with evidential content for revisions or claims, in accordance with current regulation frameworks, the exam will be recorded and stored.

Legitimacy: compliance with legal obligations (Universities Law) and other national and regional regulations currently in force.

Addressees: service providers who are the owners of the platforms where the exams are carried out and with whom the University of Jaén has signed the corresponding data access contracts.

Storage periods: those established in current in force regulations. In the specific case of exam videoconference recordings, not before the examination records and transcripts are closed or the exam can still be reviewed or challenged.

Rights: you can exercise your right of access, amendment, cancellation, opposition, suppression, limitation and portability by sending a letter to the postal or electronic address indicated above. In the event that you consider that your rights have been violated, you may submit a complaint to the Andalusian Council for Transparency and Data Protection www.ctpdandalucia.es

CLASS RECORDING CLAUSE PERSONAL DATA PROTECTION

Person in charge: Universidad de Jaén, Paraje Las Lagunillas, s/n; Tel.953 212121; www.ujaen.es

Data protection delegate (DPO): TELEFÓNICA, S.A.U. ; Email: dpo@ujaen.es

Procedure aim: To manage proper recordings of teaching sessions with the aim of facilitating learning process under a multimodal and/or online teaching

Period for record storage: Images will be kept during legal term according to regulations in force

Legitimacy: Data will be managed according to legal regulations (Organic Law 6/2001, December 21, on Universities) and given consent provided by selecting corresponding box in legal admission documents

Data recipients (transfers or assignments): Any person allowed to get access to every teaching modality

Rights: You may exercise your rights of access, rectification, cancellation, portability, limitation of processing, deletion or, where appropriate, opposition. To exercise these rights, you must submit a written request to the Information, Registration and Electronic Administration Service of the University of Jaen at the address above, or by e-mail to the address above. You must specify which of these rights you are requesting to be satisfied and, at the same time, you must attach a photocopy of your ID card or equivalent identification document. In case you act through a representative, legal or voluntary, you must also provide a document that proves this representation and identification. Likewise, if you consider that your right to personal data protection has been violated, you may file a complaint with the Andalusian Data Protection and Transparency Council www.ctpdandalucia.es