Calculus of Variations: Euler's Elastica

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Covers variational methods, equilibrium shape of a bent beam, Euler's Elastica, and numerical and analytical methods.

Covers variational methods, equilibrium shapes, Euler's Elastica, and numerical and analytical methods for solving Euler's Elastica.

Explores variational methods, Euler's Elastica, numerical and analytical methods, and the buckling of slender structures.

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

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

Introduces 3D linear elasticity, beams, dimensional analysis, and mechanics of slender structures.

Covers the main learning objectives of ME-411, focusing on dimensional analysis, scalings, and mechanical elements.

Explores fundamental physical dimensions, dimensional analysis, scaling laws, and the behavior of slender structures and thin beams.

Explores 3D elasticity, beam bending, and buckling phenomena in slender structures.

Covers dimensional analysis, physical similarity, and structural mechanics, emphasizing the importance of scaling laws in solving complex problems.