Structural Mechanics

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4 domain-specific abstractions whose origin domain is Structural Mechanics.

• Conjugate beam method — A structural-analysis method that converts a real beam’s curvature loading M/EI into loads on a fictitious conjugate beam whose shear and moment represent slope and deflection.
• Euler–Bernoulli beam theory — A slender-beam model relating transverse load, bending moment, curvature and deflection under the assumption that plane cross-sections remain plane and normal to the neutral axis.
• Macaulay brackets — A positive-part notation that compactly represents piecewise polynomial loads and their repeated integrals in beam analysis.
• Minimum total potential energy principle — The variational principle that a stable equilibrium configuration of a conservative elastic system locally minimizes total potential energy among admissible configurations.