Structural Mechanics: Vectors and Cartesian Coordinates

Related lectures (29)

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Explores systems of forces in three dimensions, emphasizing moments and couples, equilibrium, and scalar components.

Covers calculations in coordinates for vectors, including bases, scalar product, and determinants, with geometric interpretations and examples.

Covers the evaluation of forces in a system and equilibrium conditions.

Covers stress equilibrium, strain, and constitutive equations in 2D and 3D.

Covers linear independence, bases, and coordinate systems with examples and theorems.

Provides written corrections for structural mechanics exercises, focusing on systems of forces and equilibrium in two dimensions.

Covers the properties of vectors, including commutativity, distributivity, and linearity.

Introduces vector definitions, displacement, addition, and applications in geometry.

Covers translations, homotheties, and their analytical expressions, emphasizing stability by composition.

Explores motion in two and three dimensions, gravity effects, and vector dot products.