Centroids and Stress-Strain Diagrams

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Explores stress and strain transformations, main stresses, safety factors, and failure criteria in structural mechanics.

Explains the reduction of 3D problems to 2D using constraints and relative deformations.

Explores simple shear, shear stress, strain energy, stress analysis, and torsional shear stress in simple twist.

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

Explores the limitation to 5 faces of regular polyhedra and the construction of summit pyramids.

Covers the verification of equilibrium equations and compatibility in tension scenarios, ensuring uniform stress distribution.

Explores constitutive equations in geomechanics, stress-strain behavior, and practical applications in engineering.

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

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

Explores nonlinear geometric transformations in structural engineering, emphasizing accurate integration methods and practical applications.