Bending Beams: Constraints and Relative Deformation

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Explores normal stresses in beams during bending and the calculation of the second moment of area for various shapes.

Explores force detection in beams, including nonlinear effects, built-in tension, and composite beams.

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

Explores bending of beams, strain energy, shear force, and deflection calculations.

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

Explores the theory of finite strain and rotation in Kirchhoff rods, covering inextensible strains, finite rotations, and equilibrium.

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

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

Covers internal equilibrium of solids, stress analysis, beam deformation, and rupture criteria.

Covers the bending of an elastic-perfectly-plastic beam and its key characteristics.