PipeDev — Segmented Cone Elbow

Segmented Cone Elbow

Gored / lobster-back elbow — one cone cut into N gores that fan to a bend.

Principle & formula

The elbow is a single right-circular cone of half-angle α = 90° − θ/2. Each of the N gores develops as a frustum sub-sector (radial-line method). Bend radius R = (D/2)·tan(θ/2).

Diameter (D)

Bend angle (θ, °)

Segments (N)

Slant length (L)

Advanced — material & allowance

Material thickness (t)

Hem / seam allowance (a)

Second plate (companion)

Diameters are outside; development uses the neutral axis (Ø − t). Allowance adds a margin around the blank.

Development Pattern

Print at 100% scale. Dimensions are in millimetres.