Plates II: Mechanics of Slender Structures

Related lectures (32)

Page 2 of 4

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

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

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

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

Covers the theory of nonlinear curved beams, discussing inextensible strains, finite rotations, and the exact inextensionable theory.

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

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

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

Covers the main learning objectives of ME-411, focusing on dimensional analysis, scalings, and mechanical elements.

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