The KCDB - the BIPM key comparison database – supports the CIPM MRA. The KCDB contains information on the internationally recognized Calibration and Measurement Capabilities (CMCs) for services available from the participating institutes, and the key and supplementary comparisons supporting these CMCs.

All data listed in the KCDB have been reviewed and approved within the CIPM Mutual Recognition Arrangement
**CCM.F-K2.a, CCM.F-K2.b, CCM.F-K2.a.1, EUROMET.M.F-K2, APMP.M.F-K2.a and APMP.M.F-K2.b**

**MEASURAND : Force
NOMINAL VALUE : 50 kN**

**Degrees of equivalence D_{i} and expanded uncertainty U_{i} (k = 2) expressed in 10^{-5}**

**Red diamonds: CCM.F-K2
Orange squares: CCM.F-K2.a.1
Blue circles: EUROMET.M.F-K2**

**CCM.F-K2.a, CCM.F-K2.b, CCM.F-K2.a.1, EUROMET.M.F-K2, APMP.M.F-K2.a and APMP.M.F-K2.b**

**MEASURAND : Force
NOMINAL VALUE : 100 kN**

**Degrees of equivalence D_{i} and expanded uncertainty U_{i} (k = 2) expressed in 10^{-5}**

**Red diamonds: CCM.F-K2**

**Orange squares: CCM.F-K2.a.1
Blue circles: EUROMET.M.F-K2**

**CCM.F-K2.a, CCM.F-K2.b, CCM.F-K2.a.1, EUROMET.M.F-K2, APMP.M.F-K2.a and APMP.M.F-K2.b**

**MEASURAND : Force
NOMINAL VALUE : 50 kN**

**Degrees of equivalence relative to the CCM.F-K2 reference value:**

**Red: CCM.F-K2
Orange: CCM.F-K2.a.1
Blue: EUROMET.M.F-K2**

Results are presented under A4 printable format in Summary Results (PDF file).

**CCM.F-K2.a, CCM.F-K2.b, CCM.F-K2.a.1, EUROMET.M.F-K2, APMP.M.F-K2.a and APMP.M.F-K2.b**

**MEASURAND : Force
NOMINAL VALUE : 100 kN**

**Degrees of equivalence relative to the CCM.F-K2 reference value:**

**Red: CCM.F-K2**

**Orange: CCM.F-K2.a.1
Blue: EUROMET.M.F-K2**

Results are presented under A4 printable format in Summary Results (PDF file).

EURAMET.M.F-K2.a

Metrology area, Sub-field | Mass and related quantities, Force |

Description | Medium force measurements |

Time of measurements | 2023 - 2024 |

Status | Protocol complete |

Measurand | Force 50 kN, 100 kN |

Parameters | Force in compression |

Transfer device | One force transducer with a nominal capacity of 100 kN |

Comparison type | Key Comparison |

Consultative Committee | CCM (Consultative Committee for Mass and Related Quantities) |

Conducted by | EURAMET (European Association of National Metrology Institutes) |

RMO Internal Identifier | EURAMET Project Number 1597 |

Pilot institute |
INRIM
Istituto Nazionale di Ricerca Metrologica Italy |

Contact person | Andrea Prato +390113919382 |

Additional |

Pilot laboratory | |
---|---|

INRIM |
Istituto Nazionale di Ricerca Metrologica, Italy, EURAMET |

IPQ |
Instituto Portugues da Qualidade, Portugal, EURAMET |

SASO-NMCC |
National Measurement and Calibration Center - Saudi Standards, Metrology and Quality Organization, Saudi Arabia, GULFMET |

UME |
TÜBITAK Ulusal Metroloji Enstitüsü, Türkiye, EURAMET |

This page proposes print-out on A4 paper (portrait) of the comparison details (best printed out using a black and white printer).

Please, select items to be printed out, then click on "OK" :

Results:

**CCM.F-K2.a, CCM.F-K2.b, CCM.F-K2.a.1, EUROMET.M.F-K2, APMP.M.F-K2.a and APMP.M.F-K2.b**

**MEASURAND : Force
NOMINAL VALUE : 50 kN**

**Key comparisons CCM.F-K2.a and CCM.F-K2.b**

The key comparison reference value, , is calculated as explained on page 30 of the Final Report).u_{R}x_{R} = 0.47 10^{-5} and 2u_{R} = 0.66 10^{-5} |

The degree of equivalence of each laboratory with respect to the key comparison reference reference value is given by a pair of terms, both expressed in 10^{-5}: D_{i} and , its expanded uncertainty (U_{i}k = 2). (See the Appendix on page 32 of the Final Report). |

**Linking CCM.F-K2.a.1 to CCM.F-K2**

Linking is made via the pilot laboratory **NPL**, who also participated in the CCM.F-K2.a comparison.

**Linking EUROMET.M.F-K2 to CCM.F-K2**

For each nominal value of the force, a reference value is computed inside the EURAMET key comparison, as the weighted mean deviation from the pilot value.

Based on the assumption that the performance of the common participants in both comparisons, the **NPL** and the **PTB**, has remained unchanged, it can be concuded that the EURAMET reference values are **0.6 10 ^{-5}** and

The degrees of equivalence found inside the EURAMET key comparison (offsets and expanded uncertainties) are adjusted accordingly, as explained on page 28 of the EUROMET.M.F-K2 Final Report, to be transferred to key comparison CCM.F-K2.

**Linking APMP.M.F-K2.a and APMP.M.F-K2.b to CCM.F-K2**

Linking of results for 50 kN is made via **KRISS**, **NIM** and **NMIJ/AIST** who also participated in the CCM.F-K2.a and CCM.F-K2.b comparisons.

**CCM.F-K2.a, CCM.F-K2.b, CCM.F-K2.a.1, EUROMET.M.F-K2, APMP.M.F-K2.a and APMP.M.F-K2.b**

**MEASURAND : Force
NOMINAL VALUE : 100 kN**

**Key comparisons CCM.F-K2.a**

The key comparison reference value, , is calculated as explained on page 30 of the Final Report).u_{R}x_{R} = 0.52 10^{-5} and 2u_{R} = 0.82 10^{-5} |

The degree of equivalence of each laboratory with respect to the key comparison reference reference value is given by a pair of terms, both expressed in 10^{-5}: D_{i} and , its expanded uncertainty (U_{i}k = 2). (See the Appendix on page 32 of the Final Report). |

**Linking CCM.F-K2.a.1 to CCM.F-K2.a**

Linking is made via the pilot laboratory NPL, who also participated in the CCM.F-K2.a comparison.

**Linking EUROMET.M.F-K2 to CCM.F-K2.a**

For each nominal value of the force, a reference value is computed inside the EURAMET key comparison, as the weighted mean deviation from the pilot value.

Based on the assumption that the performance of the common participants in both comparisons, the **NPL** and the **PTB**, has remained unchanged, it can be concuded that the EURAMET reference values are **0.6 10 ^{-5}** and

The degrees of equivalence found inside the EURAMET key comparison (offsets and expanded uncertainties) are adjusted accordingly, as explained on page 28 of the EUROMET.M.F-K2 Final Report, to be transferred to key comparison CCM.F-K2.

**Linking APMP.M.F-K2.a to CCM.F-K2.a**

Linking of results for 100 kN is made via **KRISS** and **NIM** who also participated in the CCM.F-K2.a and CCM.F-K2.b comparisons.

**CCM.F-K2.a, CCM.F-K2.b, CCM.F-K2.a.1, EUROMET.M.F-K2, APMP.M.F-K2.a and APMP.M.F-K2.b**

**Key comparisons CCM.F-K2.a and CCM.F-K2.b**

**MEASURAND : Force
NOMINAL VALUE : 50 kN**

Measurements in key comparisons CCM.F-K2.a and CCM.F-K2.b correspond to the schemes A and B respectively, as explained on page 4 of the Final Report. Two transducers are used in scheme A, and three transducers are used in scheme B:

- in scheme A, the two transducers have a nominal capacity of 100 kN and are used to measure 50 kN and 100 kN forces;

- in scheme B, two transducers have a nominal capacity of 50 kN and are used to measure 50 kN forces, and one transducer has a nominal capacity of 100 kN and is used to measure 50 kN forces.

Detailed results of measurements obtained in both key comparisons are given in Section 9 on page 18 of the Final Report. They are then concatenated (see page 30 of the Final Report) in order to provide one set of measurements for 50 kN forces and one set of measurements for 100 kN forces. These two sets of results are shown in Figure 26 and Figure 27 on page 31 of the Final Report.

Date of measurements: 2004 - 2007

**Key comparison CCM.F-K2.a.1**

**MEASURAND : Force
NOMINAL VALUE : 50 kN**

Measurements in key comparisons CCM.F-K2.a.1 were made in scheme A. Detailed description of the measurement results is given in Sections 8 and 9 of the CCM.F-K2.a.1 Final Report.

Date of measurements: 2010 - 2011

**Key comparison EUROMET.M.F-K2**

**MEASURAND : Force
NOMINAL VALUE : 50 kN**

The same scheme is followed for the measurements in key comparison EUROMET.M.F-K2, as explained on page 4 of the EUROMET.M.F-K2 Final Report.

Results obtained by participating laboratories are given in Section 9 (starting on page 14) of the Final Report. The two sets of results (for 50 kN and 100 kN) are shown on Figures 18 and 19 on page 24 of the Final Report.

Date of measurements: 2007 - 2009

**Key comparisons APMP.M.F-K2.a and APMP.M.F-K2.b**

**MEASURAND : Force
NOMINAL VALUE : 50 kN**

The same scheme as in CCM.F-K2.a and b is followed for the measurements in key comparisons APMP.M.F-K2.a and APMP.M.F-K2.b. The results are given in Section 6 of the Final Report.

Date of measurements: 2007 - 2014

**CCM.F-K2.a, CCM.F-K2.b, CCM.F-K2.a.1, EUROMET.M.F-K2, APMP.M.F-K2.a and APMP.M.F-K2.b**

**Key comparisons CCM.F-K2.a and CCM.F-K2.b**

**MEASURAND : Force
NOMINAL VALUE : 100 kN**

Measurements in key comparisons CCM.F-K2.a and CCM.F-K2.b correspond to the schemes A and B respectively, as explained on page 4 of the Final Report. Two transducers are used in scheme A, and three transducers are used in scheme B:

- in scheme A, the two transducers have a nominal capacity of 100 kN and are used to measure 50 kN and 100 kN forces;

- in scheme B, two transducers have a nominal capacity of 50 kN and are used to measure 50 kN forces, and one transducer has a nominal capacity of 100 kN and is used to measure 50 kN forces.

Detailed results of measurements obtained in both key comparisons are given in Section 9 on page 18 of the Final Report. They are then concatenated (see page 30 of the Final Report) in order to provide one set of measurements for 50 kN forces and one set of measurements for 100 kN forces. These two sets of results are shown in Figure 26 and Figure 27 on page 31 of the Final Report.

Date of measurements: 2004 - 2007

**Key comparison CCM.F-K2.a.1**

**MEASURAND : Force
NOMINAL VALUE : 100 kN**

Measurements in key comparisons CCM.F-K2.a.1 were made in scheme A. Detailed description of the measurement results is given in Sections 8 and 9 of the CCM.F-K2.a.1 Final Report.

Date of measurements: 2010 - 2011

**Key comparison EUROMET.M.F-K2**

**MEASURAND : Force
NOMINAL VALUE : 100 kN**

The same scheme is followed for the measurements in key comparison EUROMET.M.F-K2, as explained on page 4 of the EUROMET.M.F-K2 Final Report.

Results obtained by participating laboratories are given in Section 9 (starting on page 14) of the Final Report. The two sets of results (for 50 kN and 100 kN) are shown on Figures 18 and 19 on page 24 of the Final Report.

Date of measurements: 2007 - 2009

**Key comparisons APMP.M.F-K2.a**

**MEASURAND : Force
NOMINAL VALUE : 100 kN**

The same scheme as in CCM.F-K2.a is followed for the measurements in key comparisons APMP.M.F-K2.a. The results are given in Section 6 of the Final Report.

Date of measurements: 2007 - 2014