Nonlinear beam theory

Related lectures (32)

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Covers strain-displacement relations, simplifications, constitutive relations, equilibrium equations, and circular rings.

Covers stress-strain relations, constitutive relations, and buckling of a circular ring in nonlinear beam theory.

Covers the mechanics of slender structures, focusing on nonlinear curved beams.

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

Covers the framework for plates, bending and stretching energies, and Föppl-von Kármán Equations, exploring mean and Gaussian curvatures.

Covers the basics of structural mechanics, including static forces, stress, strain, and structural elements like bars, cables, trusses, and beams.

Covers the theory of nonlinear curved beams, discussing inextensible strains, finite rotations, and the exact inextensionable theory.

Explores Gaussian curvature, principal curvatures, and nonlinear strain in thin elastic plates.

Covers linearity between stress and strain in 3D and isotropic linear elasticity equations.

Covers deformation, strain, stress, and wrinkling in plates under pure bending, exploring applications and bending stiffness.