Bending Force Calculator for Form Springs | Alfred Kron GmbH

Determine the maximum spring force up to plastic deformation, the corresponding deflection and the feasibility of your inner bend radius – for spring steel strip 1.4310, 1.4301, C75S and CuSn6.

Spring Geometry & Material

What would you like to calculate?
Load Direction relative to the bend
The spring force stays the same – the straight spring arm is symmetrical. Direction affects only the stress state in the bend zone.
Material Spring steel strip
Temper / Strength affects Rp0.2
Strip thickness t0.2–1.0 typ.
mm
Strip width b
mm
Spring length Lfree
mm
Radius Riinner
mm
Target deflection x at the free spring end
mm
Safety factor S 1.0 · σzul = Rp0,2 / S
1.0 · yield limit 1.5 · fatigue 2.0 · conservative
Model: Cantilever leaf spring (fixed at one end), point load at the free end.
I = b·t³/12  ·  W = b·t²/6
k = 3·E·I/L³  ·  F = k·x (Hooke)
Fzul = W·σzul/L  ·  σzul = Rp0,2/S
The limit force Flim depends on Rp0.2, not on Young's modulus. E alone determines the deflection at which that force is reached.

Schematic

R i M Tension side (outer) closes t F f L

Maximum Spring Force Before Yielding

N

Force at the free spring end at which the outer fibre reaches Rp0.2

Yield Limit Utilisation

Calculated Values

Deflection f at Flim
mm
Spring rate k
N/mm
Section modulus W
mm³
Allow. bending stress σallow
MPa

Inner Bend Radius Ri

Evaluates the ratio Ri/t = against the material-specific minimum (Ri/t)min = . Too small a radius causes notch effects and cracking on the outside of the bend.

0criticalmarginalsafe4·(R/t)min

Material Properties

Material Mat.-No. Rm (MPa) Rp0.2 (MPa) E (MPa) (Ri/t)min
Note on material values: The stored Rp0.2 values are conservative design values at the lower end of the standard scatter band. The temper designation (+C1300, R620, F90 …) states the minimum tensile strength Rm, not the yield strength – Rp0.2 is typically 70–85 % of it, depending on work hardening. Real batches usually exceed these values; your mill certificate always governs.

On the model: Linear beam bending theory for a cantilever rectangular spring with a point load at the free end, valid for small deflections (f ≲ L/5). A design guideline – it does not replace FEA or sample testing. For fatigue life, curved geometries or large deflections, please contact us – we review your spring free of charge.

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