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Maximum Spring Force

The maximum spring force is the maximum force the spring can exert before permanent deformation.

The maximum spring force increases linearly with the free length of a spring, spring wire diameter and its Young's modulus. It decreases with the Poisson ratio, the number of active windings and the cube of the spring outer diameter.

Formula

QuantityVariable[Subscript["F", "max"], "Force"] == (QuantityVariable["d", "Diameter"]^4*QuantityVariable["E", "YoungsModulus"]*(QuantityVariable["L", "Length"] - QuantityVariable["d", "Diameter"]*QuantityVariable["n", "Unitless"]))/(16*(-QuantityVariable["d", "Diameter"] + QuantityVariable["D", "Diameter"])^3*QuantityVariable["n", "Unitless"]*(1 + QuantityVariable["ν", "PoissonRatio"]))

symbol description physical quantity
Fmax maximum spring force "Force"
d spring wire diameter "Diameter"
D spring outer diameter "Diameter"
E Young's modulus "YoungsModulus"
n number of active windings "Unitless"
L free length of spring "Length"
ν Poisson ratio "PoissonRatio"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Maximum Spring Force"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Maximum Spring Force"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Maximum Spring Force"], {QuantityVariable[ "\[Nu]","PoissonRatio"] -> 0.3`, QuantityVariable["n","Unitless"] -> 5, QuantityVariable["L","Length"] -> Quantity[50, "Centimeters"]}]
Out[3]=

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