# Ropes as Nested Helices

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A wire rope is an assembly of several (usually six) wire strands wrapped helically around a central core strand. The wire strands are themselves composed of several (usually six) wires wrapped around a central core wire [1].

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Contributed by: Erik Mahieu (June 2015)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

A single helix has the parametric equation , where is the helix radius, is the helix angle, and is the winding angle.

A double helix has the parametric equations

,

,

,

where is the double helix radius, is the helix angle, and is the winding angle.

References

[1] G. A. Costello, *Theory of Wire Rope*, New York: Springer, 1997.

[2] C. Erdönmez and C. E. Imrak, "New Approaches for Model Generation and Analysis for Wire Rope," in *Computational Science and Its Applications—ICCSA 2011: Part IV* (B. Murgante, O. Gervasi, A. Iglesias, D. Taniar, and B. O. Apduhan, eds.), Berlin: Springer-Verlag, 2011.

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