Plates I: Deformation and Energy

Related lectures (32)

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

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

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

Analyzes beams, forces, stresses, deformations, curvature, deflection, and rigidity.

Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.

Discusses stresses in beams under flexure, including shear forces and bending moments.

Covers the mechanics of slender structures, focusing on nonlinear curved beams.

Explores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.

Explores the theory of finite strain and rotation in Kirchhoff rods, covering inextensible strains, finite rotations, and equilibrium.

Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.