Sheet Metal Cone Flat Pattern Calculator

Large finished diameter of the frustum.
in
Small finished diameter. Use 0 for a full cone.
in
Straight vertical height, not slant height.
in
Straight seam allowance added as a simple slant-height strip for area estimating.
in

Results

Default result
Edit inputs
Pattern sector angle(theta)
103.45°
Pass

Also computed

Outer pattern radius(R1)Pass20.881in

Inner pattern radius(R2)10.44in

Slant height(s)10.44in

Large arc length37.699in

Small arc length18.85in

Pattern area295.19in²

Method notes 3 notes
  • Slant height s = sqrt(H^2 + ((D1 - D2)/2)^2). Pattern radii are s*D1/(D1-D2) and s*D2/(D1-D2).
  • Sector angle comes from matching the developed outer arc to the finished large circumference: theta = 180*D1/R1 degrees.
  • This is a geometric flat-pattern screen. Thickness compensation, bend/stretch allowance, forming method, locks, hems, notch relief, grain direction and shop tooling are not included.

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