Calculate the flat pattern for a straight cone or truncated cone from top diameter, bottom diameter and vertical height.
These allowances are added to the developed radial dimensions for fabrication. Set them to zero when your shop uses separate seam or trim dimensions.
Enter dimensions and calculate.
What is cone development? Cone development converts the three-dimensional cone or frustum into a two-dimensional flat pattern that can be cut from sheet material.
What is a cone frustum? A frustum is a cone with its tip removed, leaving two circular ends of different diameters.
Why is the development an annular sector? A truncated cone unwraps into a portion of a ring, creating an outer arc and inner arc.
What happens when the top diameter is zero? The frustum becomes a full cone, and its development becomes a single circular sector rather than an annular sector.
Does sheet thickness change the geometric result? The geometric development is based on the supplied finished diameters and height. Manufacturing thickness, forming and joining allowances may require separate adjustments.
Can I use this for ducts and hoppers? Yes, for straight circular cones and frustums where the sides are developed from a common apex.
Can this calculate an offset or eccentric cone? No. An eccentric or oblique cone requires a different development method, commonly involving triangulation or radial-line development.