Brinell Hardness Indentation Calculator

Brinell HBW with forceN converted using caller N/kgf, mm geometry and cancellation-safe spherical-cap depth, not contact stressPa. Caller independently establishes units, regime, calibration and applicability; this does not establish design-code compliance, authenticity, operational safety, treatment efficacy or a validated forecast.

Description

Brinell hardness relates force to the curved indentation area under a ball.

Brinell hardness relates force to the curved indentation area under a ball.1

The force-unit conversion and measured diameters must match the adopted measurement protocol. Use Brinell Hardness Indentation Calculator to evaluate the supplied inputs under the specific model below.

When to use Brinell Hardness Indentation Calculator

Use Brinell Hardness Indentation Calculator to evaluate the supplied inputs under the specific model below. Establish the units, measurement scope and applicable model or recipe assumptions before entering values.

How to use Brinell Hardness Indentation Calculator and understand its results

  1. Establish the units, measurement scope and applicable model or recipe assumptions before entering values.
  2. Enter Force newton, Ball diameter mm, Observed indent diameter mm, Caller newton per kgf using the field table and validation rules below, then run the tool.
  3. Read Brinell hbw and interpret units, signs, ordering and placeholders as explained below.
  4. If the tool reports an input error, correct that field and rerun. A successful false result, empty match list or unknown-evidence placeholder has the specific meaning described here; check the limitations before applying the result.
Input fieldMeaningValue typeRequirement
forceNewtonForce newtonnumberRequired; constraints below
ballDiameterMmBall diameter mmnumberRequired; constraints below
observedIndentDiameterMmObserved indent diameter mmnumberRequired; constraints below
callerNewtonPerKgfCaller newton per kgfnumberRequired; constraints below

Enter positive force in N, ball and indentation diameters in mm and the caller's N/kgf conversion. Indentation diameter d must be less than ball diameter D. Compute h=d²/(D+sqrt(D²−d²)) and HBW=2F/(conversion×πDh). The stabilized expression represents D−sqrt(D²−d²); the tool does not verify test load, dwell time or specimen suitability.

HBW = 2F/[NPerKgf×πD×(D−sqrt(D²−d²))]

Field order, units and branch conditions follow the implementation explanation above.

Output fieldMeaningValue type
brinellHbwBrinell hbwnumber
json
{
  "input": {
    "forceNewton": 1000,
    "ballDiameterMm": 10,
    "observedIndentDiameterMm": 5,
    "callerNewtonPerKgf": 9.80665
  },
  "output": {
    "brinellHbw": 4.845482066921421
  }
}

Limitations and assumptions

The force-unit conversion and measured diameters must match the adopted measurement protocol. Apply the exact scope and assumptions described above.

All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse arrays fail validation. Domain-specific bounds, alignments and supported tokens are stated above; extremely large inputs or outputs can also be rejected. These errors differ from successful results such as false, no matches or unknown evidence.

Alternative or Complementary methods

Use Hertzian Cylinder Contact Stress Calculator for a related task: Hertz line contact models elastic pressure over a cylindrical contact region.

Use Charpy to KIC Correlation Calculator for a related task: Charpy-to-fracture-toughness correlations depend on material and calibration scope.

References

  1. Brinell Hardness Indentation Calculator — tool.io

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