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Stress and Strain (beyond 1D)
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Related lectures (40)
Normal Stresses: Internal Stress and Strain
Introduces internal stress and strain, material properties, and design considerations for axial loads and direct shear.
Introduction to Structural Mechanics: Stress and Strain
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Covers stress equilibrium, strain, and constitutive equations in 2D and 3D.
3D Linear Elasticity & Beams
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Covers 3D linear elasticity, stress, strain, beams' behavior under loads, and torsion.
Linear Elasticity in 3D: Beam Bending
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Covers linear elasticity in 3D, focusing on beam bending and stress-strain behavior of materials.
Stress and Strain: Generalization to 3D
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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.
Elasticity and Beam Bending
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Explores linear elasticity, stress-strain relationships, and beam bending kinematics with a focus on stress tensors and internal forces.
Linear Elasticity (3D)
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Explores linear elasticity in 3D, stress-strain relationship, isotropic materials, and shear stress importance.
Stress and Strain in Structural Mechanics
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Explores stress, strain, elasticity, fracture, and equilibrium in structural mechanics.
Review: 3D Linear Elasticity & Beams
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Covers the review of 3D Linear Elasticity and beams, focusing on mechanics of slender structures.
Principal Stresses in 2D and 3D
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Explores principal stresses in 2D and 3D, deriving equations and understanding the relationship between shear and normal stresses.
Continuum Mechanics: Forces and Deformation
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Covers the basics of continuum mechanics, including forces transmission, energy conservation, and body motion geometry.
Linear Momentum Conservation and Stress in Continuum
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Explores the conservation of linear momentum and stress in a continuum, focusing on governing equations and constitutive laws.
Structural Mechanics: Beam Bending and Boundary Conditions
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Explores the moment-curvature relation for beams, emphasizing stress distribution and typical boundary conditions.
3D Linear Elasticity & Beams
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Introduces 3D linear elasticity, beams, dimensional analysis, and mechanics of slender structures.
Plates: Deformation, Energy, Wrinkling
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Covers the deformation of plates in pure bending, total strain energy, and applications like wrinkling.
Deformable Structures I
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Introduces the analysis of deformable structures, focusing on equilibrium, stress, and strain in axial loading and stiffness.
Stress and Strain Transformations
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Explores stress and strain transformations, main stresses, safety factors, and failure criteria in structural mechanics.
The stress tensor: representation and properties
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Explores the stress tensor representation, interpretation, and properties, emphasizing the sign convention for normal and shear stresses.
Mechanics of Slender Structures: Elasticity & Buckling
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Explores 3D elasticity, beam bending, and buckling phenomena in slender structures.
Introduction to Structural Mechanics
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Covers the basics of structural mechanics, including static forces, stress, strain, and structural elements like bars, cables, trusses, and beams.
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