Plates III: Mechanics of Slender Structure

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Explores beam bending, stiffness, and curvature in mechanical systems using OCR-extracted slides from EPFL's Spring 2021 session.

Explores the mechanics of slender structures, discussing plate evaluation, bending energy, and curvature tensors.

Covers the framework for plates, bending and stretching energies, and Föppl-von Kármán Equations, exploring mean and Gaussian curvatures.

Explores 3D elasticity, beam bending, and buckling phenomena in slender structures.

Explores minimal surfaces, curvature, Laplace-Beltrami operator, numerical solutions, Laplacian smoothing, diffusion flow, and time integration.

Covers the review of 3D Linear Elasticity and beams, focusing on mechanics of slender structures.

Explores the moment-curvature relation for beams, emphasizing stress distribution and typical boundary conditions.

Covers dimensional analysis, physical similarity, and structural mechanics, emphasizing the importance of scaling laws in solving complex problems.

Explores general covariance in gravity, covering equations, curvature tensor, and static gravity field.

Covers linear pressure vessels, thin shells, and critical buckling pressure, emphasizing the dimensional reduction from 3D to 2D.