
Hybrid Joint Optimization — Analytical Pipeline (Croccolo 2012)
From torque requirement and materials to optimal hub ratio, coupling geometry, and design merit — six-step closed-form pipeline with three canonical scenarios.

From torque requirement and materials to optimal hub ratio, coupling geometry, and design merit — six-step closed-form pipeline with three canonical scenarios.
From internal pressure and geometry to radial/hoop stress distribution — Lamé equations, pipeline, notebook, and numerical verification.