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 frusto-conical structure kit comprising:
a planar base sheet having a top edge and a left end;
one or more intermediate planar sheets, each intermediate sheet having a left end, a right end, a top edge, and a bottom edge such that:
for each given sheet in the kit except the base sheet, the right end of the given sheet is as long as the left end of a corresponding sheet in the kit, and the bottom edge of the given sheet is as long as the top edge of the corresponding sheet;
wherein the planar sheets are dimensioned such that joining, along lengths of corresponding edges:
the right end of each intermediate sheet with the left end of its corresponding sheet; and
the bottom edge of each intermediate sheet with the top edge of its corresponding sheet;
produces a substantially frusto-conical structure; and
a planar top sheet having a bottom edge and a right end, the top sheet being dimensioned such that joining the bottom edge of the top sheet to the top edge of a last intermediate sheet, and joining the right end of the top sheet to the left end of the last intermediate sheet, produces a frusto-conical structure.
2. The kit of claim 1 , in which the base sheet, top sheet, and collection of intermediate planar sheets include steel.
3. The kit of claim 1 , in which the sheets are dimensioned to produce the substantially frustro-conical structure when joined by welding along their respective edges and ends.
4. The kit of claim 1 , in which the sheets are dimensioned to produce the substantially frusto-conical structure when the sheets overlap by a pre-determined amount when joined.
5. The kit of claim 1 , in which the sheets are dimensioned to undergo no in-plane deformation when joined to form the substantially frusto-conical structure.