Neck & Thread Geometry
Estimate bottle neck and thread dimensions for caps and closures.
Core dia = OD - 2*depth. Thread length = pitch * starts * turns.
Cap engagement check
Minimum engagement β 1.5 Γ pitch. Verify against the closure specification.
Cap internal thread (from form angle)
Cap internal thread major/pitch/minor diameters from nominal, pitch and form angle (symmetric V model).
Theoretical thread engagement height
Theoretical thread height = pitch / (2Β·tan(form angle/2)); practical (truncated) depth = 1.25Γ that. Check the neck thread form is sufficiently complete and the cap bore clears the neck OD before production.
Joint engagement check (radial height + axial length)
Passes only when the radial thread height (form-angle completeness and bore clearance) AND the axial engagement length are both sufficient. If either is short the joint is warn; if the cap bore is smaller than the neck OD it is fail. Representative geometry β verify against the closure specification.