SKILLS



G001 – To know architectural theories and history, as well as fine arts, technologies and human sciences related to it



G004 – To understand the problems of structural conception, construction and engineering related to building projects as well as problem solving techniques



G006 – To know the industries, organisations, regulations and procedures to materialise projects in buildings and to integrate blueprints in the planning.



1205- To know and to apply to architecture and urban planning the principles of general mechanics, static, geometry of solids and vectorial and tensor fields.



2201- Aptitude for applying technical and constructive regulations



2301- Ability to conceive, calculate, design, integrate in buildings and buildings groups and execute building structures



5101 – Ability for the calculation and advanced design of structures



LEARNING OUTCOMES OF THE SUBJECT



To distinguish between external loads and inner strengths in structures



To explain how external forces and reactions are distributed through the structure



To calculate the value of the strengths acting on a bar by analysing the cross section in two-dimensional frames



To Analyse how strengths deform the cross section



To define Axial, Shear, Bending and Torsional strength diagrams.



To draw the inner strength diagrams of isostatic and hyperstatic diagrams.



To draw approximately the deformation of a bar working under bending moment, by using the relationship between bending moment and curvature

1. INTRODUCTION



2. PREVIOUS CONCEPTS



2.1. BASIC CRITERIA FOR REPRESENTING DIAGRAMS

2.2. STRENGTH SIGN CRITERIA

2.3. ISOSTATIC AND HYPERSTATIC STRUCTURES. BASIC CONCEPTS



3. RESOLUTION OF ISOSTATIC FRAMES



3.1. CALCULATION OF REACTIONS



3.1.1. Overall equilibrium. Boundary conditions

3.1.2. Partial equilibrium. Internal Strengths.

3.1.3. Bond conditions. Use of ball joints.

3.1.4. Graphic expression of the Strengths: diagrams of strengths.



3.2. CALCULATION OF STRENGTHS IN THE JOINTS. SECTIONS



3.3. STRENGTH DIAGRAMS



3.3.1. Mathematical relationship between strength diagrams

3.3.2. Diagram representation. Other examples.



3.4. REPRESENTING THE DEFORMATION OF THE FRAME



3.4.1. Non axial deformation hypothesis

3.4.2. Boundary and bond conditions

3.4.3. Curvature of the bending moment diagram



4. CALCULATION OF DEFORMATIONS



4.1. RELATIONSHIP BETWEEN STRENGTH AND DEFORMATION



4.1.1. Deformation made by the axial strength

4.1.2. Deformation made by the bending moment

4.1.3. Deformation made by the shear strength

4.1.4. Deformation made by torsion



4.2. ELASTICITY EQUATION. BEAM DEFORMATIONS



4.3. ENERGETIC METHODS. UNIT LOAD



4.3.1. Equilibrium between the work of internal and external forces

4.3.2. Virtual Work Principle

4.3.3. Principle of Reciprocity

4.3.4. Unit Load method

4.3.5. Unit load method. Exercises with isostatic frames

4.3.6. Unit load method. Hyperstatic frames.

4.3.7. Unit load method. Exercises with hyperstatic frames



5. RESOLUTION OF HYPERSTATIC FRAMES BY THE CROSS METHOD



5.1. NON SWAY FRAMES



5.1.1. Introduction, methodology and previous concepts

5.1.2. Fixed end moments (FEM)

5.1.3. Stiffness

5.1.4. Distribution factor

5.1.5. Carry over factor

5.1.6. Non sway orthogonal frames. One node frames.

5.1.7. Calculation of rotation in nodes

5.1.8. Non sway orthogonal frames. Multiple nodes nodes.

5.1.9. Inclined bar frames.



5.2. SWAY FRAMES



5.2.1. Introduction, methodology and previous concepts

5.2.2. Fixed End Moments of displacements

5.2.3. Translational degree of freedom

5.2.4. Displacements equilibrium equations

5.2.5. Sway orthogonal frame’s with one displacement

5.2.6. Calculation of displacements

5.2.7. Translational degree and displacements equilibrium equations.

5.2.8. Sway orthogonal frame’s with multiple displacements

5.2.9. Sway frames with inclined bars

5.2.10. Sway frames with hinged nodes

5.2.11. Sway frames with roller supports



6. COMPUTER CALCULATION OF STRUCTURES BY MATRIX METHOD



6.1. NODE’S DEFINITION

6.2. BAR’S DEFINITION

6.3. PRACTICAL EXERCISE

The metodology used combines de continious assessment and a final exam.



Every three weeks students may do an assignment which will be collected by the teacher. During the course duration, 5 practical assignments will be done. The evaluation of these tasks count for 50% of the calcification of marks of this subject.



The final exam counts for 50% of the califications of this subject.



If the student obtains a 7 out of 10 in the practical tasks, the final exam will be not mandatory.



Although, you may have an average of 5 out of 10 between the exam and practical tasks, it should be noted that students must still achieve a 5 out of 10 in the exam alone. All practical tasks must be completed in class and not outside. They’ll be collected in the end of the class.



ON LINE TEACHING



If face to face learning is suspended due to the coronavirus, classes will continue on line by using the Blackboard Collaborate platform, and the evaluation will consist on an online exam

ORDINARY CALL



Exam: 50%



Practical tasks: 50%



Although, you may have an average of 5 out of 10 between the exam and practical tasks, it should be noted that students must still achieve a 5 out of 10 in the exam alone. All practical tasks must be completed in class and not outside. They’ll be collected in the end of the class. Practical tasks are obligatory.



ON LINE EVALUATION



If face to face learning is suspended due to the coronavirus, an online exam will take place



RESIGNATION TO THE SUBJECT



Not doing the pratical tasks and not attending the final exam, will mean the resignation to the final evaluation. The resignation will be recorded as "Not Presented".

EGELA

Basic bibliography

“Resistencia de materiales”

Manuel Vázquez

Ed: Noela



“Estructuras de Edificación”

Jose Zubiaur Bilbao

Ed: Euskal Herriko Unibertsitatea



“Razón y ser de los tipos estructurales”

E. Torroja Miret

Ed.:Consejo Superior de Investigaciones



“Análisis de estructuras. Métodos clásicos y matriciales”

Pascual Martí Montrull

Ed.: Horacio Escarabajal Editores



“Strutture. Morfología strutturale in architettura”

Mario Cedolini

Ed.: Arsenale Editoriale

In-depth bibliography

“Proyecto y Cálculo de Estructuras de Hormigón Armado. Tomos I y II”
J. Calavera
Ed.: Intemac

“Construcción de Estructuras de Hormigón Armado”
Pascual Urbán Brotóns
Ed.: Editorial Club Universitario

“Construcción en acero. Sistemas estructurales y constructivos en edificación”
Constantino Hurtado / Ruth Vega
Ed.: Munilla-Lería

“Curso de estructuras metálicas”
Brufau, Arguijo
Ed.: E.T.S.A.V.

“Estructuras de Acero. Cálculo” (2. edizioa)
R. Argüelles Alvarez, R. eta J.Mª Argüelles Bustillo, F. Arriaga Martitegui eta J.R. Atienza Reales
Ediciones Bellisco

“Estructuras metálicas para edificación”
José Monfort Lleonart
Editorial Universidad Politécnica de Valencia

“Manual para cálculo de estructuras metálicas”
ENSIDESA (5 tomo)
Ed.: Empresa Nacional Siderúrgica, S.A., Oviedo, 1990

“CTE documento básico SE-AE acciones en la edificación”
Ed.: Ministerio de Vivienda

“CTE documento básico SE-A seguridad estructural en acero”
Ed.: Ministerio de Vivienda