Helical Sweep using a set wire length

[dannerj]

I have 10ft of wire that I need to coil. Pitch and Diameter are "To Be Determined". Is there a way to set up a helical sweep, so that I can easily modify the pitch and diameter, keeping the wire length constant, so that I can get a good estimation of overall size? I'm imagining I'll need to write a relation, but I'm drawing a blank on how to go about this.

Any ideas?

 

[Da_Prim]

I think these relations are what you are looking for:

P = PITCH
WD = WIRE_DIAMETER
S = SPRING_DIAMETER
L = WIRE_LENGTH

H = P*((L/(pi*S)-2)*cos(atan(P/pi*S)))

Solved for the height using the spring geometry formulas on here:

Equations for Designing Compression Springs

Of course, you might want to double check my math ;D

 

[dross]

What is H and where is the wire diameter?