Constraints and Deformations in 3D

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Related lectures (38)

Deformation and Strain Tensors

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

Principal Stresses and Mohr's Circle

Explores principal stresses, Mohr's Circle, triaxial stress, Hooke's Law, and strain measurements.

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.

Normal Stresses: Internal Stress and Strain

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

Elasticity and Deformation

Covers stress, strain, modulus of elasticity, and material behavior under different loads.

Shear and Bearing Stresses

Explores shear and bearing stresses, including plasticity, creep, Hooke's Law, and allowable stresses in engineering design.

Mechanics of Continuous Media

Explores stress components placement, strain-stress relationship, energy of deformation, material isotropy, and temperature effects.

Structural Mechanics: Beam Bending and Boundary Conditions Log in to Mediaspace to watch this video

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

Linear Elasticity (3D)Log in to Mediaspace to watch this video

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

Simple Shear: General Notions and Applications Log in to Mediaspace to watch this video

Explores simple shear, shear stress, strain energy, stress analysis, and torsional shear stress in simple twist.

Linear Elasticity in 3D: Beam Bending Log in to Mediaspace to watch this video

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

Stress and Strain Transformations Log in to Mediaspace to watch this video

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

Generalized Hooke Law: Deformation and Stiffness Matrices Log in to Mediaspace to watch this video

Explores the Generalized Hooke Law, stiffness matrices, and deformation effects in materials.

Introduction to Structural Mechanics: Stress and Strain Log in to Mediaspace to watch this video

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

Shear Behavior: Evaluation and Laws Log in to Mediaspace to watch this video

Explores material behavior in shear, shear forces, stress, equilibrium, shear laws, tension/compression, plane shear, shear rate, constrained slip, and shear strength.

3D Linear Elasticity & Beams Log in to Mediaspace to watch this video

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

Continuum Mechanics: Forces and Deformation Log in to Mediaspace to watch this video

Covers the basics of continuum mechanics, including forces transmission, energy conservation, and body motion geometry.

Simple Traction or Compression Log in to Mediaspace to watch this video

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

Stiffness vs Strength: Deformation and Load Log in to Mediaspace to watch this video

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

Material Properties and Stress-Strain Curves Log in to Mediaspace to watch this video

Explores material properties, stress-strain curves, stress concentration, and failure criteria in structural mechanics.

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