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Nonlinear Beam Theory: Mechanics of Slender Structure
Covers strain-displacement relations, simplifications, constitutive relations, equilibrium equations, and circular rings.
Stiffness vs Strength: Deformation and Load
Covers stiffness, strength, strain, stress, and strain measurement in structural mechanics.
Frenet-Serret Formulas: Curvature and Torsion
Explores the Frenet-Serret formulas for curvature and torsion in three-dimensional space.
Linear Elasticity: Equations of Linear Elasticity
Covers the equations of linear elasticity for static problems with small strain, emphasizing uniqueness of solutions and Navier's Equations.
Plates: Deformation, Energy, Wrinkling
Covers the deformation of plates in pure bending, total strain energy, and applications like wrinkling.
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3D Linear Elasticity & Beams
Covers 3D linear elasticity, stress, strain, beams' behavior under loads, and torsion.
Introduction to Structural Mechanics: Stress and Strain
Covers stress equilibrium, strain, and constitutive equations in 2D and 3D.
Torsion: Deriving Hooke's Law and Solving Torsion Problems
Covers torsional loads, Hooke's law derivation, solving problems, and examples in hollow and composite shafts.