Concept

Cauchy stress tensor

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

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Covers stress equilibrium, strain, and the generalization of stress to 3D, introducing Hooke's Law and analyzing structures with axial loads.

Explores plane stress analysis, including inclined planes, stress transformation, principal stresses, and shear stresses.

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

Explains principal stresses, spectral decomposition, simple states of stress, and the importance of a symmetric stress tensor.

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Covers general notions and hypotheses of simple traction or compression, stress analysis, and strain energy in materials.

Analyzes stress states in the plane, focusing on shear stress, main axes, and safety factors.

Covers stress and strain beyond 1D, focusing on hyperstatic systems with pre-stressed elements and internal loads.

Explores constraints and deformations in 3D, stress matrices, internal forces, and shear stresses.

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