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Relative Deformation 1D: Basics
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Related lectures (39)
Deformation and Strain Tensors
Explores deformation and strain tensors, Lagrange representation, elasticity theory, and the divergence theorem.
Torsion of Axisymmetric Cross Sections
Explores the torsion of axisymmetric cross sections, focusing on circular bars of linearly elastic materials and their efficiency in resisting torsional loads.
Solid mechanics in biomechanics: Large strain and stress definitions
Explores large strain in soft tissues and various stress definitions in solid mechanics.
Elasticity and Deformation
Covers stress, strain, modulus of elasticity, and material behavior under different loads.
Normal Stresses: Internal Stress and Strain
Introduces internal stress and strain, material properties, and design considerations for axial loads and direct shear.
Shear and Bearing Stresses
Explores shear and bearing stresses, including plasticity, creep, Hooke's Law, and allowable stresses in engineering design.
Torsion of Axisymmetric Cross Sections
Covers the analysis of members under pure torsion and circular bars subjected to torsion, including shear stresses and angle of twist.
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.
Linear Elasticity (3D)
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Explores linear elasticity in 3D, stress-strain relationship, isotropic materials, and shear stress importance.
3D Linear Elasticity & Beams
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Covers 3D linear elasticity, stress, strain, beams' behavior under loads, and torsion.
Simple Shear: General Notions and Applications
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Explores simple shear, shear stress, strain energy, stress analysis, and torsional shear stress in simple twist.
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.
Generalized Hooke Law: Deformation and Stiffness Matrices
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Explores the Generalized Hooke Law, stiffness matrices, and deformation effects in materials.
Torsion: Deriving Hooke's Law and Solving Torsion Problems
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Covers torsional loads, Hooke's law derivation, solving problems, and examples in hollow and composite shafts.
Introduction to Structural Mechanics: Stress and Strain
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Covers stress equilibrium, strain, and constitutive equations in 2D and 3D.
Introduction to Torsion: Relative Stresses and Strains
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Introduces torsion, explaining relative stresses and strains in bars, shear modulus, and torque transmission.
Stress and Deformation: Understanding Material Behavior
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Explores stress, strain, elasticity, plasticity, and material behavior, emphasizing the importance of dislocations and microstructure.
Stiffness vs Strength: Deformation and Load
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Covers stiffness, strength, strain, stress, and strain measurement in structural mechanics.
Beam Bending I
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Covers stress, strain tensors, material constants, and beam bending fundamentals.
Torsion: Part 2
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Explores shear stress, relative deformations, shear modulus, and torsional shear stress in circular and thin-walled tubes.
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