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
2026-01-05: Changed example note.
2026-03-18: example updated
<dcc:result refType="force_envelopeFunctionMeasurementUncertaintyBalancedMean force_increasing">
<dcc:name>
<dcc:content lang="de">Einhüllende für die Messunsicherheiten für ausgeglichenes Mittel W_Xₐ (aufsteigende Kraftstufen)</dcc:content>
<dcc:content lang="en">Envelope function for measurement uncertainties for arithmetic mean W_Xₐ (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>
<ml:math>
<ml:apply>
<ml:eq/>
<ml:ci id="envelopeFunctionMeasurementUncertaintyBalancedMeanIncreasingCompressive">Wₓₐ</ml:ci>
<ml:apply>
<ml:plus/>
<ml:ci id="envelopeFunctionMeasurementUncertaintyBalancedMeanConstantIncreasingCompressiveCoefficient_d">d</ml:ci>
<ml:apply>
<ml:times/>
<ml:ci id="envelopeFunctionMeasurementUncertaintyBalancedMeanLinearIncreasingCompressiveCoefficient_a">a</ml:ci>
<ml:ci>F</ml:ci>
</ml:apply>
<ml:apply>
<ml:times/>
<ml:ci id="envelopeFunctionMeasurementUncertaintyBalancedMeanQuadraticIncreasingCompressiveCoefficient_b">b</ml:ci>
<ml:apply>
<ml:power/>
<ml:ci>F</ml:ci>
<ml:cn>2</ml:cn>
</ml:apply>
</ml:apply>
<ml:apply>
<ml:times/>
<ml:ci id="envelopeFunctionMeasurementUncertaintyBalancedMeanCubicIncreasingCompressiveCoefficient_c">c</ml:ci>
<ml:apply>
<ml:power/>
<ml:ci>F</ml:ci>
<ml:cn>3</ml:cn>
</ml:apply>
</ml:apply>
</ml:apply>
</ml:apply>
</ml: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 force_linear" refId="envelopeFunctionMeasurementUncertaintyBalancedMeanLinearIncreasingCompressiveCoefficient_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 force_quadratic" refId="envelopeFunctionMeasurementUncertaintyBalancedMeanQuadraticIncreasingCompressiveCoefficient_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 force_cubic" refId="envelopeFunctionMeasurementUncertaintyBalancedMeanCubicIncreasingCompressiveCoefficient_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 force_constant" refId="envelopeFunctionMeasurementUncertaintyBalancedMeanConstantIncreasingCompressiveCoefficient_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>