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Lecture
Plane Stress Analysis: Equilibrium and Transformation
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Stress and Strain Transformations
Explores stress and strain transformations, main stresses, safety factors, and failure criteria in structural mechanics.
Principal Stresses in 2D and 3D
Explores principal stresses in 2D and 3D, deriving equations and understanding the relationship between shear and normal stresses.
Introduction to Structural Mechanics: Stress and Strain
Covers stress equilibrium, strain, and constitutive equations in 2D and 3D.
Principal Stresses and Mohr's Circle
Explores principal stresses, Mohr's Circle, triaxial stress, Hooke's Law, and strain measurements.
Simple Shear: General Notions and Applications
Explores simple shear, shear stress, strain energy, stress analysis, and torsional shear stress in simple twist.
Normal Stresses: Internal Stress and Strain
Introduces internal stress and strain, material properties, and design considerations for axial loads and direct shear.
3D Linear Elasticity & Beams
Covers 3D linear elasticity, stress, strain, beams' behavior under loads, and torsion.
Bending of Straight Beams
Covers stress analysis and strain energy in straight beams under bending.
Structural Mechanics: Beam Bending and Boundary Conditions
Explores the moment-curvature relation for beams, emphasizing stress distribution and typical boundary conditions.
Transformation: Constraints and Deformations
Explores the transformation of constraints and deformations in materials, focusing on stress analysis and tensor diagonalization.