Calibration certificate number

DAkkS registration number 12029 = HBM

Year and month of calibration

All information about the transducer that is to be calibrated: Object, manufacturer, type, serial number

Information about the order: Customer, order number

Calibration certificate number

DAkkS registration number 12029 = HBM

Year and month of calibration

Calibration machine used for the calibration

Measurement uncertainty of the calibration machine, as a percentage of the respective force step

Zero signal of the transducer that is to be calibrated (unmounted, without mechanical adapters)

Mechanical mounting parts for adaptation to the calibration machine

Electrical supply of the force transducer (e.g. bridge excitation voltage, carrier frequency) via the amplifier used for calibration

Calibration certificate number

DAkkS registration number 12029 = HBM

Year and month of calibration

Information about the amplifier used during the calibration and its settings

The amplifier used for the calibration is the property of HBM. We recommend calibration using the amplifier that is to be used in combination with the transducer later.

This information is displayed when the indicator has been set from an electrical to a physical unit (e.g. kN) for calibration

Additional important information or unusual conditions relevant for documentation of the calibration

Calibration certificate number

DAkkS registration number 12029 = HBM

Year and month of calibration

Standard on which the calibration procedure is based, detailed regulations can be found in the international ISO 376:2011 standard

The ISO 376:2011 standard allows calibration without the measurement series with decreasing force. The text is adapted in this case: R4' and R6' are omitted, the second rotation occurs after series R3. **In this case, however, usage will only be permitted with increasing forces later**.

Calibration certificate number

DAkkS registration number 12029 = HBM

Year and month of calibration

Direction of force during the calibration

Unit of the measured values

Force determined by the calibration machine

First series 0° position increasing

Second series 0° position increasing

Series 120° position increasing

Series 120° position decreasing

Series 240° position increasing

Series 240° position decreasing

Measured value after the force has been removed and changed from maximum calibration force to zero Newton

Measured value at zero Newton after loading with increasing force, identical to the value at zero Newton for this series

Determination of creep from the readings 30 s and 300 s after removal of the maximum calibration force at the third preloading. The maximum force was applied for

60 s.

Average of series R1 and R2

Repeatability of the measured value in unchanged mounting position, related to the **average of the respective force step**

Average of series R1, R3 and R5

Reproducibility of the measured value in rotated mounting positions 0°, 120° and 240°, related to the **average of the respective force step**

Calibration certificate number

DAkkS registration number 12029 = HBM

Year and month of calibration

For case A and C, usage of the measuring instrument is only permissible for increasing forces, because only the series with increasing forces were used in the analysis in table 4 (hysteresis not taken into account!)

Class for case A (only for specific forces), the following properties are taken into account: b, b', f_{0}, r, c and U_{BNME} (abbreviations see page 5 at the bottom). The class is always determined by the worst feature. The class achieved at 50% of the nominal (rated) force cannot be better.

Expanded measurement uncertainty for case A, calculated according to Annex C.1 of ISO 376:2011. Without taking into account the interpolation error, because only permissible for specific forces.

Values calculated using the cubic equation polynomial from page 8

Deviation (interpolation error) of the value Xa calculated from the average of series R1, R3 and R5 using the equation polynomial, related to this average value for the respective force step

Class for case C, the following properties are taken into account: b, b', f_{0}, r, c, U_{BNME} and f_{c} (abbreviations see page 5 at the bottom). The class is always determined by the worst feature. The class achieved at 50% of the nominal (rated) force cannot be better.

Expanded measurement uncertainty for case C (with interpolation), calculated according to Annex C.1 of ISO 376:2011.

For case B and case D, usage of the measuring instrument is permissible for increasing and decreasing forces, hysteresis is taken into account.

Hysteresis: Average of the difference between the measured values from series R3 - R4' and R5 - R6', related to the **average of the respective force step**

Class for case B, the following properties are taken into account: b, b', f_{0}, r, v and U_{BNME} (abbreviations see page 5 at the bottom). The class is always determined by the worst feature. The class achieved at 50% of the nominal (rated) force cannot be better.

Expanded measurement uncertainty for case B, calculated according to Annex C.1 of ISO 376:2011. Only for specific forces, without taking into account the interpolation error.

Values calculated using the cubic equation polynomial from page 8

Deviation (interpolation error) of the value Xa calculated from the average of series R1, R3 and R5 using the equation polynomial, related to this average for the respective force step

Class for case D, the following properties are taken into account: b, b', f_{0}, r, v, U_{BNME} and **f**_{c} (abbreviations see page 5 at the bottom). The class is always determined by the worst feature. The class achieved at 50% of the nominal (rated) force cannot be better.

Expanded measurement uncertainty for case D, calculated according to Annex C.1 of ISO 376:2011.

As per ISO 376, the combined standard measurement uncertainty has to be graphically represented over the force and a curve fit using the method of least squares needs to be made. Since the calculated values are smaller than the minimum combined standard measurement uncertainty, the equation is adapted until all values are greater than the smallest measurement uncertainty. The measurement uncertainties specified for case C and case D in the calibration certificate were calculated using the equation given here. This enables an expanded uncertainty to be calculated for any force within the calibration range.

Calibration certificate number

DAkkS registration number 12029 = HBM

Year and month of calibration

Cubic interpolation equation and its coefficients for calculating the transducer's electrical output signal as a function of the applied force

Values calculated using the interpolation equation; they enable linearization of amplifiers with several points (e.g. DMP40)

Interpolation equation and its coefficients for calculating the force signal in Newton, as a function of the transducer's electrical output signal. These values can be entered into the ML38B for adaptation.

For compliance with the standard, creep has to be taken into account when calculating the measurement uncertainties, however, in the application, the influence of hysteresis needs to be considered in addition (Annex C.2.4 of ISO 376). For this reason, HBM provides this additional information for calculation of the measurement uncertainty including the influence of hysteresis. This measurement uncertainty can be used analogously to the values of previous calibration certificates per DIN EN ISO 376:2005 for further calculation of the measurement uncertainties in the application.

Values calculated using the cubic equation polynomial from page 8

**average of the respective force step**

Additional information: Measurement uncertainty including influence on hysteresis (Annex C.2.4 of ISO 376), based on the expanded measurement uncertainty of case D.

As per ISO 376, the combined standard measurement uncertainty has to be graphically represented over the force and a curve fit using the method of least squares needs to be made. Since the calculated values are smaller than the minimum combined standard measurement uncertainty, the equation is adapted until all values are greater than the smallest measurement uncertainty. The equation given here is used for calculating the measurement uncertainty W_{Z} provided as additional information in the calibration certificate. This enables an expanded uncertainty to be calculated for any force within the calibration range.