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Introduction to Structural Analysis
Engineering & Social Sciences Program
Madrid, Spain
Dates: 1/16/25 - 6/4/25
Introduction to Structural Analysis
OVERVIEW
CEA CAPA Partner Institution: Universidad Carlos III de Madrid
Location: Madrid, Spain
Primary Subject Area: Aerospace Engineering
Instruction in: English
Course Code: 15336
Transcript Source: Partner Institution
Course Details: Level 200
Recommended Semester Credits: 3
Contact Hours: 42
Prerequisites: Calculus II , Linear Algebra, Physics I, Introduction to Mechanics of Flight.
We strongly advise you not to take this course if you have not passed Physics I and Introduction to Mechanics of Flight
DESCRIPTION
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
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