Specifies the envelope function for measurement uncertainties of the arithmetic mean Wₓₐ.
Gibt die Einhüllende für die Messunsicherheiten des arithmetischen Mittels Wₓₐ an.
2025-12-01 Created
<dcc:result refType="force_envelopeFunctionMeasurementUncertaintyBalancedMean force_increasing">
<dcc:name>
<dcc:content lang="de">Einhüllende für die Messunsicherheiten für ausgeglichenes Mittel Wₓₐ (aufsteigende Kraftstufen)</dcc:content>
<dcc:content lang="en">Envelope function for measurement uncertainties for arithmetic mean Wₓₐ (increasing force levels)</dcc:content>
</dcc:name>
<dcc:description>
<dcc:content lang="de">Die in der Tabelle oben aufgeführten erweiterten relativen Messunsicherheiten W Xa können approximiert werden mit:</dcc:content>
<dcc:content lang="en">The expanded relative uncertainties W Xa stated in the table above can be approximated with:</dcc:content>
</dcc:description>
<dcc:data>
<dcc:formula refType="force_function">
<dcc:mathml>
<mathml:math>
<mathml:apply>
<mathml:eq />
<mathml:ci>Wₓₐ</mathml:ci>
<mathml:apply>
<mathml:plus />
<mathml:ci id="envelopeFunctionMeasurementUncertaintyBalancedMeanIncreasingConstantCoefficient_d">d</mathml:ci>
<mathml:apply>
<mathml:times />
<mathml:ci id="envelopeFunctionMeasurementUncertaintyBalancedMeanIncreasingLinearCoefficient_a">a</mathml:ci>
<mathml:ci>F</mathml:ci>
</mathml:apply>
<mathml:apply>
<mathml:times />
<mathml:ci id="envelopeFunctionMeasurementUncertaintyBalancedMeanIncreasingQuadraticCoefficient_b">b</mathml:ci>
<mathml:apply>
<mathml:power />
<mathml:ci>F</mathml:ci>
<mathml:cn>2</mathml:cn>
</mathml:apply>
</mathml:apply>
<mathml:apply>
<mathml:times />
<mathml:ci id="envelopeFunctionMeasurementUncertaintyBalancedMeanIncreasingCubicCoefficient_c">c</mathml:ci>
<mathml:apply>
<mathml:power />
<mathml:ci>F</mathml:ci>
<mathml:cn>3</mathml:cn>
</mathml:apply>
</mathml:apply>
</mathml:apply>
</mathml:apply>
</mathml:math>
</dcc:mathml>
</dcc:formula>
<dcc:list refType="force_functionParameters">
<dcc:name>
<dcc:content lang="de">Koeffizienten</dcc:content>
<dcc:content lang="en">Coefficients</dcc:content>
</dcc:name>
<dcc:description>
<dcc:content lang="de">Wenn diese Funktion für die Berechnung der relativen Messunsicherheit verwendet wird, muss die Einheit 1 zu Prozent konvertiert werden</dcc:content>
<dcc:content lang="en">If you use this function for calculating the relative measurement uncertainty, you have to convert the unit \one to \percent.</dcc:content>
</dcc:description>
<dcc:quantity refType="force_coefficient" refId="envelopeFunctionMeasurementUncertaintyBalancedMeanIncreasingLinearCoefficient_a">
<si:real>
<si:value>3.28e-9</si:value>
<si:unit>\kilo\newton\tothe{-1}</si:unit>
</si:real>
</dcc:quantity>
<dcc:quantity refType="force_coefficient" refId="envelopeFunctionMeasurementUncertaintyBalancedMeanIncreasingQuadraticCoefficient_b">
<si:real>
<si:value>-5.49e-12</si:value>
<si:unit>\kilo\newton\tothe{-2}</si:unit>
</si:real>
</dcc:quantity>
<dcc:quantity refType="force_coefficient" refId="envelopeFunctionMeasurementUncertaintyBalancedMeanIncreasingCubicCoefficient_c">
<si:real>
<si:value>2.49e-15</si:value>
<si:unit>\kilo\newton\tothe{-3}</si:unit>
</si:real>
</dcc:quantity>
<dcc:quantity refType="force_coefficient" refId="envelopeFunctionMeasurementUncertaintyBalancedMeanIncreasingConstantCoefficient_d">
<si:real>
<si:value>3.38e-4</si:value>
<si:unit>\one</si:unit>
</si:real>
</dcc:quantity>
</dcc:list>
</dcc:data>
</dcc:result>