Featured Programs
Experiential Learning Opportunities
Claim up to $1,000 in flight credits!
Get up to $1,000 in flight credits or grants toward study or internship programs abroad when you apply by January 01, 2025. See our Official Rules for full details.
Introduction to Structural Analysis
Engineering & Social Sciences Program
Madrid, Spain
Dates: mid Jan 2026 - early Jun 2026
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