Nonlinear Curved Beams

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Stresses due to Flexure

Covers the calculation of curvature in beams and the design of beams for stress considerations.

Beams: Forces, Stresses, and Deformations

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

Linear Elasticity in 3D: Beam Bending

Covers linear elasticity in 3D, focusing on beam bending and stress-strain behavior of materials.

Dimensional Analysis & Scaling Laws

Covers dimensional analysis, physical similarity, and structural mechanics, emphasizing the importance of scaling laws in solving complex problems.

Differential Geometry: Parametric Curves & Surfaces

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

Beam Bending II

Explores the relationship between moment, curvature, and deflection in beam bending scenarios, emphasizing the consideration of shear forces and deformations.

Plastic Hinge Method: Analysis and Design

Explores the plastic hinge method for inelastic deformation estimation and discusses the challenges of force-based design.

Mechanics of Slender Structures: Elasticity, Plates, Shells

Covers the dimensional reduction in slender structures, constitutive laws, and mechanics of plates and shells.

Introduction to Structural Mechanics

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

Linear Shell Theory: Equilibrium Equations

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