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Lecture
Föppl-von Kármán Equations: Plates III
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Plates III: Mechanics of Slender Structure
Covers Föppl-von Kármán equations, Airy potential, plate theory simplifications, and buckling of plates.
Plates: Föppl-von Kármán Equations
Covers the Föppl-von Kármán equations, Airy potential, plate theory simplifications, and plate buckling.
3D Linear Elasticity & Beams
Covers 3D linear elasticity, stress, strain, beams' behavior under loads, and torsion.
Gaussian Curvature in Plates
Explores Gaussian curvature, principal curvatures, and nonlinear strain in thin elastic plates.
Plates III: Buckling Theory and Applications
Explores Föppl-von Kármán plate theory, including buckling equations and an example of plate compression.
Review: 3D Linear Elasticity & Beams
Covers the review of 3D Linear Elasticity and beams, focusing on mechanics of slender structures.
Shells I: Mechanics of Slender Structures
Covers linear and membrane theories of pressure vessels, differential geometry of surfaces, and the reduction of dimensionality from 3D to 2D.
Introduction to Structural Mechanics
Covers the fundamentals of structural mechanics, focusing on beams, sign conventions, types of beams, and methods to calculate stress resultants.
Linear Shell Theory: Equilibrium Equations
Covers the dimensional reduction of strain energy from 3D to 2D and linear shell theory equilibrium equations.
Plates II: Föppl-von Kármán Equations
Explores the theory of plates, including bending and stretching energies, and the Föppl-von Kármán Equations.