Plates III: Mechanics of Slender Structure

Related lectures (32)

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Covers the Föppl-von Kármán equations, Airy potential, plate theory simplifications, and plate buckling.

Covers the Föppl-von Kármán equations, Airy potential, plate theory simplifications, and plate buckling.

Explores Gaussian curvature, principal curvatures, and nonlinear strain in thin elastic plates.

Covers 3D linear elasticity, stress, strain, beams' behavior under loads, and torsion.

Explores Föppl-von Kármán plate theory, including buckling equations and an example of plate compression.

Covers linear and membrane theories of pressure vessels, differential geometry of surfaces, and the reduction of dimensionality from 3D to 2D.

Covers the fundamentals of structural mechanics, focusing on beams, sign conventions, types of beams, and methods to calculate stress resultants.

Explores the theory of plates, including bending and stretching energies, and the Föppl-von Kármán Equations.

Covers the dimensional reduction of strain energy from 3D to 2D and linear shell theory equilibrium equations.

Covers strain-displacement relations, simplifications, constitutive relations, equilibrium equations, and circular rings.