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Disc compression springs (given the force on spring)

Disc compression springs D 0 D f δ
Disc compression springs

Values for calculation

$D$ $\mathrm{mm}$
$D_0$ $\mathrm{mm}$
$δ$ $\mathrm{mm}$
$E$ $\mathrm{GPa}$
$F$ $\mathrm{N}$
$σ_{adm}$ $\mathrm{MPa}$

Calculation

Tensile stress

$$σ=\cfrac{F\cdot\left(1-2/3\cdot D_0/D\right)}{δ^2}$$

$$σ\le σ_{adm}$$

Spring deflection

$$f=\cfrac{0.65\cdot\left(\cfrac{D}{2}\right)^2}{E\cdot 10^3\cdot δ\cdot\left(1-2/3\cdot D_0/D\right)}\cdot σ$$

Spring stiffness

$$k=\cfrac{F}{f\cdot 10^{-3}}$$