Principal curvature

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Related lectures (30)

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Plates III: Mechanics of Slender Structures

Covers the equations of plates, bending and stretching energy, von Karman equations, and buckling of plates.

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.

Principal Curvatures: Gaussian Curvature

Explores principal curvatures and Gaussian curvature in the context of minimal surfaces, demonstrating their real-world applications.

Gothic Surfaces: Curvature, Development, and Stereotomy

Delves into the geometric principles of Gothic architecture, focusing on surface curvature and stereotomy techniques.

Gothic Architecture: Surfaces and Curvature

Delves into the intricate geometry of Gothic architecture, exploring surfaces with variable and constant curvature and the historical evolution of vaults.

Surfaces with Variable Curvature

Explores surfaces with variable curvature, analyzing Gaussian and mean curvature, distinguishing convex and concave regions.

Geometric Principles in Architecture: Hyperboloids and Paraboloids

Discusses geometric principles in architecture, focusing on hyperboloids and paraboloids and their applications in design and structural engineering.

Minimal Surfaces: Analytic Examples

Explores minimal surfaces, their properties, history, classification based on curvature, and examples from the Minimal Surfaces Gallery.

Beams: Forces, Stresses, and Deformations

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

Laminate Analysis: Kirchhoff-Love Plate Theory

Discusses Kirchhoff-Love Classical Plate theory for laminates and the relationship between displacements and strains.