Quotation
Spring calculators

Spring weight calculator

Calculate the developed wire length and the weight per piece and per thousand of your spring. Essential for material cost, plating and freight.

Units
in
in
in
Result
Wire length17.974 in [456.53 mm]
Weight per piece0.025 lb [11.3 g]
Weight per 100024.8 lb [11.26 kg]
Density7.85 g/cm³
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Formula

Lw ≈ π·D·Nt
m = ρ·(π·d²/4)·Lw

Hooks, legs and special ends add wire to the developed length. The calculator uses the real engine, which includes those additions.

Symbols

Lwdeveloped wire length (in or mm)
Dmean coil diameter (in or mm)
Nttotal number of coils
ρmaterial density
dwire diameter (in or mm)
mmass per piece

Worked example

Inputs
Wire diameter0.079 in [2.00 mm]
Outer diameter0.787 in [20.00 mm]
Free length1.969 in [50.00 mm]
Total coils8
MaterialCarbon steel (MW)
Result
Wire length17.974 in [456.53 mm]
Weight per piece0.025 lb [11.3 g]
Weight per 100024.8 lb [11.26 kg]

Computed by the same engine as the calculator above, using the form's starting values.

Weight comes from the developed wire length times the cross-section area times the material density.

Weight per thousand is the basis of raw material cost, of surface treatments priced per kilogram, and of freight estimates.

The designer uses exactly this calculation in quotes, together with the per-operation manufacturing cost.

Material moduli and density

MaterialShear modulus GElastic modulus EDensity
Carbon steel (MW)11.5 × 10⁶ psi (79.3 GPa)29.5 × 10⁶ psi (203.4 GPa)7.85 g/cm³
Stainless 302 (SS302)10.0 × 10⁶ psi (69.0 GPa)28.0 × 10⁶ psi (193.0 GPa)7.90 g/cm³
Stainless 17-7 (SS177)11.0 × 10⁶ psi (75.8 GPa)29.4 × 10⁶ psi (203.0 GPa)7.81 g/cm³
Stainless 316 (SS316)10.0 × 10⁶ psi (69.0 GPa)28.0 × 10⁶ psi (193.0 GPa)7.98 g/cm³
Oil tempered MB (OT)11.2 × 10⁶ psi (77.2 GPa)29.5 × 10⁶ psi (203.4 GPa)7.85 g/cm³
Chrome silicon (CS)11.2 × 10⁶ psi (77.2 GPa)29.5 × 10⁶ psi (203.4 GPa)7.85 g/cm³
Hard drawn (HD)11.5 × 10⁶ psi (79.3 GPa)29.5 × 10⁶ psi (203.4 GPa)7.85 g/cm³
Phosphor bronze (PB)6.0 × 10⁶ psi (41.4 GPa)14.9 × 10⁶ psi (103.0 GPa)8.86 g/cm³
Beryllium copper (BC)7.0 × 10⁶ psi (48.3 GPa)18.6 × 10⁶ psi (128.0 GPa)8.25 g/cm³
Chrome vanadium (CV)11.2 × 10⁶ psi (77.2 GPa)29.5 × 10⁶ psi (203.4 GPa)7.85 g/cm³

Frequently asked questions

How is the weight of a spring calculated?

Developed wire length times section area times density: m = ρ·(π·d²/4)·Lw. The developed length is approximately π times the mean diameter times the coil count, plus hooks or legs.

What is the density of spring materials?

Spring steels sit around 7.85 g/cm³, stainless grades around 7.9 g/cm³, and copper alloys such as phosphor bronze and beryllium copper between 8.3 and 8.8 g/cm³.

Why does weight per thousand matter in a quote?

Raw material is bought per kilogram and treatments such as zinc plating are also charged per kilogram. Weight per 1000 pieces turns those costs directly into cost per piece.

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Open the 3D designer, tune the dimensions and see quantity pricing with a technical drawing and stress analysis.

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