Cylinders: Pressure and Geometry

Related lectures (25)

Page 1 of 3

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

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

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

Delves into the properties of hyperboloid surfaces and their sections, emphasizing developability and curvature.

Introduces the basics of differential geometry for parametric curves and surfaces, covering curvature, tangent vectors, and surface optimization.

Explores the geometric properties of paraboloids and hyperboloids in architecture, emphasizing their design implications and practical applications.

Explores surfaces with constant curvature, rules between geometric elements, and the generation of sections in geometry.

Covers the fundamentals of differential geometry of surfaces, including the equilibrium of shells, pressure vessels, and the curvature of surfaces.

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

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