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Lecture
Principal Stresses in 2D and 3D
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Related lectures (32)
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Ellipsoidal Void Stress Concentrations
Explores stress concentrations on ellipsoidal void surfaces and the impact of inclusion on stress distribution.
Merchant's Law: Shear Stress and Cutting Force Relationship
Explains the shear stress and cutting force relationship based on Merchant's Law.
Stress State Analysis: Shear Stress and Main Axes
Analyzes stress states in the plane, focusing on shear stress, main axes, and safety factors.
Stress and Strain in Structural Mechanics
Explores stress, strain, elasticity, fracture, and equilibrium in structural mechanics.
Internal Equilibrium of Solids
Covers internal equilibrium of solids, stress analysis, beam deformation, and rupture criteria.
Transformation Laws: Diagonalization of Symmetric Tensors
Discusses tensor transformations and diagonalization of symmetric tensors, focusing on stress analysis and the significance of principal stresses.
Shear Center of Cross Sections
Introduces shear center in cross sections, unsymmetric loading, shear stresses, bending effects, and stress analysis at inclined sections.
Bending of Straight Beams
Covers stress analysis and strain energy in straight beams under bending.
Stress and Strain: Generalization to 3D
Covers stress equilibrium, strain, and the generalization of stress to 3D, introducing Hooke's Law and analyzing structures with axial loads.
Constraints and Relative Deformations in 2D
Explains the reduction of 3D problems to 2D using constraints and relative deformations.