nx_pillar_physics_v21_test.nx

nx_pillar_physics_v21_test.nx -- mathematically distinguish v2.1 cube-root bending mechanics from v2.0 sqrt-proportional AND from industry's constant-diameter baseline. Textbook bending mechanics for a square pillar of side s: σ_max = M × (s/2) / (s⁴/12) = 6 M / s³ ≤ σ_yield → s = ∛(6 M / σ_yield) Cube-root signature: 8× load → 2× footprint (not 2.83× sqrt; not 1× constant). This test verifies the cube-root signature with inputs deliberately chosen to land OUTSIDE the MIN/MAX clamps so the underlying math is exercised. Cross-check: nx_cube(footprint) should be proportional to load. For two loads M1, M2 in unclamped range: s1³ × σ = 6 × safety × M1 s2³ × σ = 6 × safety × M2 → s2³ / s1³ = M2 / M1 expect_exit: 0 license_tier: ORIGINAL