Cone flat pattern

What it is

The truncated cone, or concentric reducer, is the transition between two diameters on the same axis. Developed, it becomes an annular sector: two concentric arcs closed by two straight sides. It is marked out with a trammel from the centre, using the outer and inner radii.

Where it is used

Pipe reducers, funnels, hoppers, stack transitions, silo and cyclone outlets.

Measurements the calculation needs

  • D1 Diameter 1
  • D2 Diameter 2
  • H Height
  • 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
Thickness 3 mm
The flat pattern fits a plate of 3407 × 1279 mm

Frequently asked questions

Which diameter goes in D1 and which in D2?
D1 is always the smaller and D2 the larger — the calculation rejects the opposite. The height is the vertical distance between the two openings, not the slant length.
How do I mark the sector out without CAD?
With a trammel. The result gives both radii and the sector angle: fix the centre off the plate, scribe the two arcs and close with the straight sides. It is the traditional layout method, with the numbers checked.
Measurements the calculation needs — Cone
Calculate a Cone

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