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Design of a Helical Extension Spring

​
coil material
Fe
Cu
Al
Cr
Ti
Ni
Mg
number of active windings
16
wire radius (mm) (not to scale)
1.5
coil radius (mm)
14
According to Hooke's law,
F=kΔL
, the restoring force
F
of an extension spring is proportional to its linear extension
ΔL
.
The value
k
is the spring constant and depends on the design parameters as follows:
k=
μ
4
d
8
3
D
n
[1]. Here
D
is the diameter of the coil,
d
is the diameter of the wire,
n
is the number of active windings, and
μ
is the shear modulus of the material.
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