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Introduction to Structural Analysis Course Overview
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
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