Tapered spiral welded structure
A method for creating a tapered spiral welded conical structure where the overall shape of the cone is first graphically slit axially and unwrapped, and then a series of construction arcs and lines are created to form the edge lines of a strip that can then be wrapped (rolled) to form a tapered conical structure. The edges of the spirally wound strip can be welded together, and a very large conical structure can thus be achieved. Various construction options are presented from a constant width strip to strip made from straight segments. Equations are given for the formation of the strips to enable those skilled in the art of spiral welded tubing to practice the invention.
1. A stock material comprising:
a strip of planar material, the strip of planar material having a plurality of first straight edges and a plurality of second straight edges, each first straight edge defining a respective section of a first stepped spiral, and each second straight edge defining a respective section of a second stepped spiral, wherein each first straight edge of the first stepped spiral is parallel to a respective second straight edge of the second stepped spiral, wherein the plurality of first straight edges and the plurality of second straight edges are collectively dimensioned such that the strip of planar material is formable into a tapered structure in which the first stepped spiral adjoins the second stepped spiral.
2. The stock material of claim 1 , wherein at least two of the first straight edges have different lengths.
3. The stock material of claim 1 , wherein the strip of planar material is a weldable material.
4. A stock material comprising:
a plurality of planar sections, each planar section having a first edge and a second edge different from the first edge, wherein the plurality of planar sections is dimensioned such that, in a first planar configuration, the first edges of the plurality of planar sections are spaced apart from and aligned with one another, each second edge of each planar section is in a point contact with the respective second edge of another planar section, and each pair of planar sections in point contact with one another defines a respective triangular space therebetween.
5. The stock material of claim 4 , wherein each triangular space has the same dimensions as each of the other triangular spaces.
6. The stock material of claim 5 , wherein each triangular space is an isosceles triangle.
7. The stock material of claim 4 , wherein each point contact between adjacent planar sections defines a first vertex of the respective triangular space between the adjacent planar sections.
8. The stock material of claim 4 , wherein a second vertex and a third vertex of each respective triangular space are aligned with the first edges of the plurality of planar sections.
9. The stock material of claim 8 , wherein the plurality of planar sections are movable, relative to one another, from the first planar configuration to a second planar configuration in which each triangular space is collapsed and the plurality of planar sections collectively form a stepped spiral.
10. The stock material of claim 4 , wherein each planar section of each pair of adjacent planar sections is adjoined to one another at the point contact therebetween.
11. The stock material of claim 4 , wherein at least one planar section of the plurality of planar sections is an isosceles trapezoid.
12. The stock material of claim 4 , wherein the first edges of the plurality of planar sections are linear.
13. The stock material of claim 4 , wherein at least one of the second edges is linear.
14. The stock material of claim 4 , wherein at least one of the first edges is parallel to at least one of the second edges.
15. The stock material of claim 4 , wherein the planar sections of the plurality of planar sections are formed of a weldable material.
16. The stock material of claim 4 , wherein the first edges of at least two of the plurality of planar sections have different lengths.
17. The stock material of claim 4 , wherein a respective maximum width is the same for each planar section in a direction perpendicular to the first edges of the planar sections.