Oblique Cone flat pattern

What it is

In an oblique cone the two diameters do not share an axis: one opening is offset from the other. That breaks the symmetry, so the development is no longer an annular sector — it has to be solved by triangulation, dividing the surface into narrow strips and developing them one at a time.

Where it is used

Offset pipe transitions, exhaust manifolds, side nozzles on tanks, connections that must clear an obstruction.

Measurements the calculation needs

  • D1 Diameter 1
  • D2 Diameter 2
  • H Height
  • DV Divisions
  • THK Thickness

Worked example

The values the form comes pre-filled with, run through the tool itself:

Diameter 1 800 mm
Diameter 2 1200 mm
Height 800 mm
Divisions 16 mm
Thickness 3 mm
The flat pattern fits a plate of 2581 × 2329 mm

Frequently asked questions

Why does the number of divisions change the result?
Because triangulation approximates the curve with straight segments. More divisions follow the outline more closely; fewer make the pattern easier to mark. For thin plate and large diameters, increase the divisions.
Can this part be rolled?
It is not a surface of revolution, so it does not come off in one pass. In practice it is formed in sections and checked against a template — which is exactly why the flat pattern has to be right before cutting.
Measurements the calculation needs — Oblique Cone
Calculate a Oblique Cone

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