 Checking date: 31/05/2022

Course: 2022/2023

Elasticity and strength of materials
(15509)
Study: Bachelor in Industrial Technologies Engineering (256)

Coordinating teacher: BARBERO POZUELO, ENRIQUE

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)
We strongly advise you not to take this course if you have not passed - Mecánica de Estructuras - Cálculo I y II - Álgebra
Skills and learning outcomes
Description of contents: programme
CHAPTER 1. INTRODUCTION TO SOLID MECHANICS 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. INTRODUCTION TO ELASTICITY Subject 4: Formulation of Elasticity equations - Elasticity equations - Boundary and contact conditions - Displacement and Stress formulations - Theorems and general principes. Subject 5: 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 - Elasticity in polar coordinates - Plane Elasticity in term of displacement - Plane Elasticity in terms of stresses Subject 6: Failure criteria - Failure by yielding - Plastification criteria - Equivalent stress and safety factor CHAPTER 4. INTRODUCTION TO STRENGTH OF MATERIALS Subject 7: Bending in beams - Fundamentals concepts - External and internal forces - Equilibrium equations - Kinematic hypotheses - Normal stresses in beams - Neutral axis - Shear stresses - Sections with symmetries Subject 8: Torsion - Kinematic hypotheses - Displacement formulation - Stress formulation - Circular cross sections - Thin-walled cross-sections Subject 9: Deflections of beams - Equilibrium equations of beams - Internal forces and moments equations - Deflections by integration of the internal forces- and moment-equations (Navier-Bresse equations) - Moment-area method(Mohr´s theorems) Subject 10: Analysis of hyperstatic beams - Differential equation of the deflection curve (Euler and Timoshenko beams) -- Kinematic definitions - Static definitions - Introduction to the displacement (or stiffness) method
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. In addition to this sessions four laboratory practical sessions in reduced groups (maximum 20 students) will be impart. Students will 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
• F.P. Beer, E.R. Johnston, J.T. DeWolf, D.F. Mazurek. . Mechanics of Materials. McGraw-Hill.. 2013
• J.M. Gere, S. Timoshenko. . Mechanics of Materials. Cengage Learning. 2009