The stress tensor: representation and properties

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

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

Explores deformation and strain tensors, Lagrange representation, elasticity theory, and the divergence theorem.

Explores linear elasticity in 3D, stress-strain relationship, isotropic materials, and shear stress importance.

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

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

Explores principal stresses in 2D and 3D, deriving equations and understanding the relationship between shear and normal stresses.

Covers stiffness, strength, strain, stress, and strain measurement in structural mechanics.

Introduces internal stress and strain, material properties, and design considerations for axial loads and direct shear.

Explores linear elasticity, stress-strain relationships, and beam bending kinematics with a focus on stress tensors and internal forces.