Lectures related to Structural Element Sizing Procedure

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

Covers Föppl-von Kármán equations, Airy potential, plate theory simplifications, and buckling of plates.

Covers the trajectory and speed of a ball on a helix using cylindrical coordinates.

Discusses the elastic design of floor slabs, focusing on moment distribution and reinforcement requirements.

Explains the Polar Decomposition Theorem, which isolates stretching from rotation to prevent stress induction in the body.