Materials engineering

Hardness Conversion Calculator — Brinell, Rockwell C, Rockwell B and Vickers Converter

Convert HB, HRC, HRB and HV hardness from a selected hardness value and hardness scale using scale-specific approximation formulas.

Unit-aware inputs Deterministic calculation Engineering interpretation
Calculation workspace

Enter the known values and review the calculated result

Deterministic calculation
01
Parameters

Input parameters

Use consistent values and select the intended engineering units.

Input hardness

02
Output

Results

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Engineering reference

Method, application and limitations

Review the calculation method, intended application and engineering assumptions before using the result in a design decision.

01
Method

Formula and calculation method

HB, HRC, HRB and HV formula:

If the input hardness scale is Brinell hardness (HB):

  • HB = hardness value
  • HRC = (HB − 100) / 10
  • HRB = 0.48 · HB + 38
  • HV = 1.05 · HB

If the input hardness scale is Rockwell C hardness (HRC):

  • HRC = hardness value
  • HB = 5.97 · HRC² − 59.6 · HRC + 237
  • HRB = 0.48 · HB + 38
  • HV = 3.3 · HRC² − 22 · HRC + 190

If the input hardness scale is Rockwell B hardness (HRB):

  • HRB = hardness value
  • HB = 2.1 · HRB − 80
  • HRC = (HB − 100) / 10
  • HV = 2 · HRB

If the input hardness scale is Vickers hardness (HV):

  • HV = hardness value
  • HB = 0.95 · HV
  • HRC = (HV − 100) / 15
  • HRB = 0.48 · HB + 38

where:

  • HB — Brinell hardness (—)
  • HRC — Rockwell C hardness (—)
  • HRB — Rockwell B hardness (—)
  • HV — Vickers hardness (—)
  • hardness value — input hardness value in the selected scale (—)
  • hardness scale — selected input scale: HB, HRC, HRB or HV (—)
02
Application

When to use this calculator

HB, HRC, HRB and HV formula:

If the input hardness scale is Brinell hardness (HB):

  • HB = hardness value
  • HRC = (HB − 100) / 10
  • HRB = 0.48 · HB + 38
  • HV = 1.05 · HB

If the input hardness scale is Rockwell C hardness (HRC):

  • HRC = hardness value
  • HB = 5.97 · HRC² − 59.6 · HRC + 237
  • HRB = 0.48 · HB + 38
  • HV = 3.3 · HRC² − 22 · HRC + 190

If the input hardness scale is Rockwell B hardness (HRB):

  • HRB = hardness value
  • HB = 2.1 · HRB − 80
  • HRC = (HB − 100) / 10
  • HV = 2 · HRB

If the input hardness scale is Vickers hardness (HV):

  • HV = hardness value
  • HB = 0.95 · HV
  • HRC = (HV − 100) / 15
  • HRB = 0.48 · HB + 38

where:

  • HB — Brinell hardness (—)
  • HRC — Rockwell C hardness (—)
  • HRB — Rockwell B hardness (—)
  • HV — Vickers hardness (—)
  • hardness value — input hardness value in the selected scale (—)
  • hardness scale — selected input scale: HB, HRC, HRB or HV (—)
03
Decision support

How to interpret the result

Converted hardness is defined as the approximate equivalent hardness value in Brinell, Rockwell C, Rockwell B and Vickers scales.

The result depends on the entered hardness value and the selected hardness scale. Increasing the entered Brinell hardness increases the converted Rockwell C hardness, Rockwell B hardness and Vickers hardness. Increasing the entered Vickers hardness increases the converted Brinell hardness, Rockwell C hardness and Rockwell B hardness.

  • Info — the converted values are inside the implemented limits and the conversion quality is not low.
  • Warning — at least one converted value is outside the implemented limits: Rockwell C hardness < 0 or > 70, Rockwell B hardness < 20 or > 100, Brinell hardness < 50 or > 700, or Vickers hardness < 50 or > 800.
  • Warning — conversion quality is low, including Brinell hardness outside 50–600, Rockwell C input below 20 or above 60, Rockwell B input below 40, or non-positive Brinell/Vickers result.
  • Invalid — the hardness value is missing, non-numeric, not finite, not positive, the hardness scale is missing, or the selected hardness scale is invalid.

The result is used to compare a hardness measurement reported in one scale with approximate equivalent values in the other supported hardness scales.

04
Worked case

Calculation example

Example:

A user has a measured Brinell hardness value and wants to estimate equivalent Rockwell C, Rockwell B and Vickers hardness values.

  • Hardness value: 250
  • Hardness scale: Brinell (HB)

Result: HB = 250, HRC = 15, HRB = 158, HV = 262.5.

05
Model boundaries

Assumptions and limitations

  • The conversion uses only the implemented approximation equations for HB, HRC, HRB and HV.
  • The input hardness value must be a positive finite number.
  • The selected hardness scale must be one of the supported scales: HB, HRC, HRB or HV.
  • Conversion quality is high when Brinell hardness is from 100 to 400, medium when Brinell hardness is from 50 to 600, and low outside that range.
  • Rockwell C input below 20 or above 60 is treated as low conversion quality.
  • Rockwell B input below 40 is treated as low conversion quality.
06
Questions

Frequently asked questions

How to calculate HB, HRC, HRB and HV?
HB, HRC, HRB and HV are calculated from the selected hardness value using the conversion formulas assigned to the selected hardness scale. If the selected scale is HB, the calculator uses HB directly and calculates HRC, HRB and HV from HB. If the selected scale is HRC, HRB or HV, the calculator first applies the corresponding scale-specific approximation formulas.
What affects the converted hardness values?
The converted hardness values depend on the input hardness value and the selected hardness scale. Increasing Brinell hardness increases Rockwell C hardness, Rockwell B hardness and Vickers hardness in the HB-based conversion. Increasing Vickers hardness increases Brinell hardness, Rockwell C hardness and Rockwell B hardness in the HV-based conversion.
When is the hardness conversion formula not valid?
The formula is not valid when the hardness value is not a positive finite number or when no hardness scale is selected. The result is also flagged when the converted values fall outside the hard limits: Rockwell C hardness below 0 or above 70, Rockwell B hardness below 20 or above 100, Brinell hardness below 50 or above 700, or Vickers hardness below 50 or above 800.
Can this calculator be used for all hardness scale conversions?
It can be used only for conversions between Brinell hardness, Rockwell C hardness, Rockwell B hardness and Vickers hardness using the formulas implemented in this calculator. It should not be used when the required hardness scale is different from HB, HRC, HRB or HV.
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