Concept

Median (geometry)

Related lectures (18)

Covers the classification of distributed forces and the calculation of centroids for different shapes.

Explores symmetry and boundary conditions in finite element models, emphasizing the importance of maintaining symmetry for accurate modeling.

Analytical Geometry: Triangle Properties

Explores triangle properties like inequalities, medians, and orthocenters using analytical geometry.

Vector Study: Equations and Observations

Explores vector equations, observation points, and normal equations in a plane.

Introduction to Structural Mechanics

Introduces structural mechanics concepts like distributed loads, centroids, and equilibrium in 2D and 3D.

Center of Gravity: Barycenter

Explores the center of gravity in triangles and the barycenter theorem.

Shape Modification: Shearing and Centroid

Explores shearing geometric objects and understanding centroid behavior through examples and explanations.

Faces and Pressure Distribution

Covers the concept of pressure distribution on submerged surfaces and the calculation of forces and moments.

Clustering: K-Means

Covers clustering and the K-means algorithm for partitioning datasets into clusters based on similarity.

Pressure Calculation and Forces on Submerged Surfaces

Explains pressure calculation, manometry, and forces on submerged surfaces, emphasizing the importance of understanding centroids and resultant forces.

Principle of Double Inclusion

Explains the principle of double inclusion and provides examples with natural numbers and geometry.

Triangle Geometry: Special Lines

Explores the geometry of a triangle, focusing on special lines.

Pure Bending of Beams: Chapter 7b

Explores stresses and strains in beams under pure bending, covering neutral axis, normal stress, moment of inertia, and maximum stress.

Intersections of Lines and Medians

Explores intersections of lines and medians in a square geometry context.

Calculating Centroid and Second Moment

Explains the step-by-step process of calculating centroids and second moments of complex shapes using integration and the parallel axis theorem.

Symmetry in Finite Element Models

Explores using symmetries in Finite Element models to simplify boundary conditions and reduce rigid-body motions.

Structural Similarity and Stability

Discusses structural similarity, stability, section resistance to bending, and various structural variants.

Moment of Inertia and Neutral Axis

Explains stress, bending moment, and moment of inertia in beam sections.