Calcolatori di molle

Extension spring calculator

Calculate the rate, initial tension and maximum load of extension springs with hooks. Enter the dimensions and the hook-to-hook length.

Unità
mm
mm
mm
N
Risultato
Costante elastica9.008 lbf/in [1.58 N/mm]
Carico massimo sicuro11.746 lbf [52.25 N]
Freccia massima sicura1.104 in [28.05 mm]
Tensione iniziale2.255 lbf [10.03 N]
Indice della molla9.00
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Formula

k = G·d⁴ / (8·D³·Na)
F = IT + k·x

Simboli

kspring rate (N/mm or lbf/in)
Gshear modulus of the material (psi or MPa)
dwire diameter (in or mm)
Dmean coil diameter: OD − d (in or mm)
Nanumber of active coils
ITinitial tension: force before the coils separate (lbf or N)
xextension from the hook-to-hook length (in or mm)

Esempio calcolato

Dati
Diametro del filo0.063 in [1.60 mm]
Diametro esterno0.630 in [16.00 mm]
Lunghezza totale (gancio a gancio)2.362 in [60.00 mm]
Spire totali12
MaterialeInox 302 (SS302)
Risultato
Costante elastica9.008 lbf/in [1.58 N/mm]
Carico massimo sicuro11.746 lbf [52.25 N]
Freccia massima sicura1.104 in [28.05 mm]

Calcolato dallo stesso motore del calcolatore sopra, con i valori iniziali del modulo.

Extension springs work under pull load and carry an initial tension that must be overcome before the coils separate.

The tool estimates initial tension from geometry and validates that the hooks fit within the overall length.

Hooks are usually the weak point: bending stress at the loop limits the load before the spring body does. The full designer computes that limit for each hook style.

Come misurare la molla

  1. Measure the wire diameter (d) on the body, not on the hook.
  2. Measure the outer diameter (OD) across the closed coils.
  3. Measure the hook-to-hook length (end to end, inside the hooks) with no load.
  4. Count the body coils. On extension springs every body coil is active.
  5. Identify the hook style: machine loop, crossover loop, side loop, extended hook or swivel eye.

Moduli e densità dei materiali

MaterialeModulo di taglio GModulo elastico EDensità
Acciaio al carbonio (MW)11.5 × 10⁶ psi (79.3 GPa)29.5 × 10⁶ psi (203.4 GPa)7.85 g/cm³
Inox 302 (SS302)10.0 × 10⁶ psi (69.0 GPa)28.0 × 10⁶ psi (193.0 GPa)7.90 g/cm³
Inox 17-7 PH (SS177)11.0 × 10⁶ psi (75.8 GPa)29.4 × 10⁶ psi (203.0 GPa)7.81 g/cm³
Inox 316 (SS316)10.0 × 10⁶ psi (69.0 GPa)28.0 × 10⁶ psi (193.0 GPa)7.98 g/cm³
Temprato in olio (OT)11.2 × 10⁶ psi (77.2 GPa)29.5 × 10⁶ psi (203.4 GPa)7.85 g/cm³
Cromo-silicio (CS)11.2 × 10⁶ psi (77.2 GPa)29.5 × 10⁶ psi (203.4 GPa)7.85 g/cm³
Trafilato duro (HD)11.5 × 10⁶ psi (79.3 GPa)29.5 × 10⁶ psi (203.4 GPa)7.85 g/cm³
Bronzo fosforoso (PB)6.0 × 10⁶ psi (41.4 GPa)14.9 × 10⁶ psi (103.0 GPa)8.86 g/cm³
Rame berillio (BC)7.0 × 10⁶ psi (48.3 GPa)18.6 × 10⁶ psi (128.0 GPa)8.25 g/cm³
Cromo-vanadio (CV)11.2 × 10⁶ psi (77.2 GPa)29.5 × 10⁶ psi (203.4 GPa)7.85 g/cm³

Domande frequenti

What is initial tension in an extension spring?

It is the force wound into the spring that holds the coils closed. The spring only starts to extend once the load exceeds that force, so F = IT + k·x.

How do I measure the rate of an extension spring?

Measure the force at two different lengths and divide the force difference by the travel difference. Using two points cancels initial tension out of the math.

Do hooks affect the strength of the spring?

Yes. The loop concentrates bending stress and typically fails before the body. Extended hooks and swivel eyes change both the usable length and the load limit.

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