Engineering tool

Extension spring calculator

Rate and body stress for a close-wound tension spring. Hooks add a little flexibility; they also fail first.

Enter a wire diameter greater than 0.

Enter an outer diameter greater than 0.

Close-wound body coils, not including the hooks.

Enter the number of body coils.

Optional. Leave blank for 0.

Optional travel from the free body length.

G and E are typical published values.

Results

Enter a wire diameter greater than 0.

Method

Mean diameter D = OD − d. Active coils Na = Nb + G / E, which credits the hooks with a little extra flexibility. Rate uses the same formula as compression:k = G · d⁴ / (8 · D³ · Na).

Load at extension x is F = Fi + k · x. Body length is (Nb + 1) · d. Body shear stress uses the Wahl factor. Hook stress is higher than body stress — the hook usually fails first — so treat the body figure as a lower bound.

G and E are typical published values. Wire outside Ø 0.40–2.50 mm is flagged because that is our standard range.

Questions

Why are active coils more than body coils?
The hooks add a little flexibility. The usual allowance is Na = Nb + G/E, which for music wire is about 0.395 extra coils.
Why do you warn about hook stress?
The hook is bent tighter than the body, so it usually fails first. Treat the body stress as a lower bound, not the whole story.
What is initial tension?
A built-in preload that holds the coils together. The spring does not start to open until the pull exceeds that preload. Leave it blank if you do not know it.

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Tell us the spring type, quantity and what it has to do. Our usual minimum order is 5,000–10,000 pcs; smaller development runs are charged.