 Checking date: 21/06/2021

Course: 2021/2022

Introduction to structural analysis
(15336)
Study: Bachelor in Aerospace Engineering (251)

Coordinating teacher: VAZ ROMERO SANTERO, ALVARO

Department assigned to the subject: Department of Continuum Mechanics and Structural Analysis

Type: Compulsory
ECTS Credits: 6.0 ECTS

Course:
Semester:

Requirements (Subjects that are assumed to be known)
Calculus II Linear Algebra Physics I Mechanics applied to Aerospace Engineering We strongly advise you not to take this course if you have not passed Physics I and Mechanics applied to Aerospace Engineering
Objectives
Capacity to formulate the elasticity equations, to assess the hypotheses and to interpret the results. Knowledge and application of principles of Strength of Materials Knowledge of the basic techniques for Structural Analysis of deformable bodies. Capacity of analysis and evaluation with critical sense of results of structural calculus
Skills and learning outcomes
Description of contents: programme
CHAPTER 1. INTRODUCTION TO SOLID MECHANICS (Nº of sessions: 3) Subject 1: Kinematic of deformable bodies - Motion: Basic concepts - Strain Tensor - Infinitesimal strain - Geometrical meaning of the components of infinitesimal strain tensor - Principal Strains - Equations of compatibility Subject 2: Equilibrium in deformable bodies - Body and surface forces - Concept of stress - Stress tensor - Stress equations of equilibrium - Stationary stresses Subject 3: Constitutive equations - Behaviour laws - Hyperelastic behaviour - Linear elastic behaviour - Material symmetries - Physical meaning of the constants CHAPTER 2. ELASTICITY (Nºof sessions: 3) Subject 4: Formulation of Elasticity - Elasticity equations - Boundary and contact conditions - Theorem of Virtual Works - Theorem of Minimum Potential Energy - Reciprocity Theorems - General Principles Subject 5: Failure criteria - Failure by yielding - Haig-Westergaard representation - Von Mises-Hencky-Nadai yield criterion - Tresca-Guest yield criterion - Alternate yield criteria - Equivalent stress and safety factor Subject 6: Two dimensional theory of Elasticity - Plain Stress and Plain Strain - Plane Elasticity in term of displacement - Plane Elasticity in terms of stresses - Methods of solutions - Mohr´s circle in 2D CHAPTER 3. STRENGTH OF MATERIALS (Nºof sessions: 7) Subject 7 and 8: Reaction and internals forces - External degrees of freedom in a mechanical system - External link in a mechanical system - External degree of static indeterminacy - Internal link - Internal degree of static indeterminacy - Total degree of static indeterminacy - Computation of reactions Subject 9: Introduction to beam theory - Definition of a beam - Types of loads acting in beams - Internal forces and moments in beams Subject 10 and 11 : Bending and shear in beamss - Normal stresses in beam - Neutral axis - Sections with symmetries - Shear stresses due to shear force - Sections with symmetries - Shear stresses due to torque Subject 12: Deflections of beams - Equilibrium equations of beams - Internal forces and moments equations - Deflections by integration of the internal forces (Navier-Bresse equations) - Moment-area method(Mohr´s theorems) Subject 13: Isostatically indeterminate structures - Kinematic definitions - Introduction to the force (or flexibility) method - Application to continuum beams
Learning activities and methodology
In each week one lecture session (master class) and one practical session (in reduced groups) will be taught. The first is geared to the acquisition of theoretical knowledge, and the second to the acquisition of practical skills related to theoretical concepts. Additionally, students will complement the classes with work at home, using material provided on Aula Global. In addition to these sessions, four laboratory practical sessions in reduced groups (maximum 20 students) will be impart. These practices are mandatory. At the end of the semester tutorial session will be held. Students also have the possibility of individual tutorials.
Assessment System
• % end-of-term-examination 60
• % of continuous assessment (assigments, laboratory, practicals...) 40
Calendar of Continuous assessment
Basic Bibliography
• Barber, J.R.. Elasticity. Kluwer Academic Publishers. 1992
• Oliver, X.; Agelet, C.. Mecánica de medios continuos para ingenieros. Ed. UPC. 2000
• Ortiz Berrocal, L . Elasticidad. Ed. McGraw Hill. 1998
• Paris Carballo, F.. Teoría de la elasticidad. Grupo de Elasticidad y Resistencia. 1998
• Pilkey, W.D. y Wunderlich, W. . Mechanics of structures. Variational and Computational Methods. CRC Press. 1994
• Samartin Quiroga, A. . Resistencia de Materiales. Servicio de Publicaciones. Colegio de Ingenieros de Caminos, canales y Puertos. 1995
• Sanmartín Quiroga, A.. Curso de Elasticidad. Ed. Bellisco. 1990