Jewelry jump ring coil yield calculator

Calculate wire length per usable ring and complete rings with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use wire length per usable ring and complete rings to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Mandrel diameter (mm)
5
Wire diameter (mm)
1
Available wire length (mm)
1000
Saw loss along each ring circumference (mm)
0.3
Wire length per usable ring (mm)
19.149556
Complete rings
52
Unused wire (mm)
4.223092

Try another scenario

Mandrel diameter (mm)
5
Wire diameter (mm)
1
Available wire length (mm)
1200
Saw loss along each ring circumference (mm)
0.3
Wire length per usable ring (mm)
19.149556
Complete rings
62
Unused wire (mm)
12.727533
Calculation method

Calculation method

Wire length per usable ring (mm)

math.pi*(a+b)+d

Complete rings

math.floor(c/(math.pi*(a+b)+d))

Unused wire (mm)

c-math.floor(c/(math.pi*(a+b)+d))*(math.pi*(a+b)+d)

Symbols and units
a
Mandrel diameter (mm)
b
Wire diameter (mm)
c
Available wire length (mm)
d
Saw loss along each ring circumference (mm)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Ideal no-pitch circular coil model with supplied per-ring loss added to circumference budget. Does not model helical pitch, springback or saw geometry. Supported limits: All numeric inputs must be finite. Only the explicitly described mathematical scenario is supported.
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