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Kirchhoff Rods: Kinematics and Twisted Solutions

Explores the kinematics of 3D structures and twisted solutions in rod mechanics, including the mechanics of knots.

3D Linear Elasticity & Beams

Covers 3D linear elasticity, stress, strain, beams' behavior under loads, and torsion.

Mechanics of Kirchhoff Rods II

Explores the mechanics of Kirchhoff rods, focusing on determining rod shapes in 3D and twisted solutions.

Structures and Mechanisms: Opening a Box

Explores the analysis of structures and mechanisms through a sample problem of opening a box with a string-held lid.

Mechanics of Kirchhoff Rods II

Explores the mechanics of Kirchhoff rods, focusing on 3D kinematics and twisted solutions.

Structural Mechanics: Beam Bending and Boundary Conditions

Explores the moment-curvature relation for beams, emphasizing stress distribution and typical boundary conditions.

Scalar Products in 2D and 3D Geometry

Explores the scalar product, vector lengths, angles, norms, and rotations in 2D and 3D spaces.

Buckling of Shells: Theory and Experiments

Explores the theory and experiments on the buckling of shells, covering Reissner's solution, pressure buckling, and the influence of material properties.

Nonlinear Beam Theory: Mechanics of Slender Structure

Covers strain-displacement relations, simplifications, constitutive relations, equilibrium equations, and circular rings.

Mechanics of Slender Structures: Dimensional Analysis and Scalings

Explores the use of dimensional analysis and scalings in understanding slender structural systems.

Ball Rolling on Hemisphere

Analyzes the motion of a ball on a hemisphere surface with forces and equations of motion.

Vectors and Kinematics

Introduces vectors in a solid reference frame and explains the importance of determinants in interpreting vector products and coordinate changes.

Mechanics of Slender Structures: Elasticity & Buckling

Explores 3D elasticity, beam bending, and buckling phenomena in slender structures.

Transformations: Expressing Sums and Products

Covers expressing sums and products using trigonometric functions step by step.

Trigonometric Functions

Covers the concept of trigonometric functions and their applications in geometry.

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.

Capacitor and Self-Heating in a Wire

Covers the simulation of a capacitor and self-heating in a wire using Comsol.

Beam Bending: Theory and Applications

Explores beam bending theory, covering moment-curvature relation, pure bending, elasticity concepts, and examples of cantilever beams.

Mechanics of Kirchhoff Rods II

Explores the mechanics of Kirchhoff rods, focusing on kinematics, twisted solutions, and recent developments in rod mechanics.

Dimensional Analysis & Scaling Laws

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