BIZOMAT MAKEOS · Materials

Brinell Hardness Test Check (Hardness, Validity Rules, Specification)

What Brinell hardness does this indentation give, was the test valid for the specimen thickness, edge distance and spacing, and is the result within specification?

Evaluation of a Brinell test from two perpendicular indentation diameters: mean diameter, hardness, indentation ratio, force–diameter ratio and depth (as the Brinell hardness tool), the approximate tensile strength for steel, and the validity checks against your rules for indentation ratio, least specimen thickness as a multiple of indentation depth, least edge distance and least spacing as multiples of the indentation diameter, and the specification range.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Test forcekgfTest force in kilograms-force (3000 kgf with a 10 mm ball for steel).
Ball diametermmDiameter of the ball.
Indentation diameter 1mmIndentation diameter measured in one direction.
Indentation diameter 2 (perpendicular)mmIndentation diameter measured at right angles.
Specimen thicknessmmThickness of the specimen under the indentation.
Distance from indentation centre to the edgemmDistance from the indentation centre to the nearest edge.
Distance to the nearest other indentation centremmDistance to the centre of the nearest other indentation.
Your rules and specification
Smallest d ÷ DSmallest indentation ratio your test standard allows.
Largest d ÷ DLargest indentation ratio allowed.
Least thickness ÷ depthLeast specimen thickness as a multiple of indentation depth (from your test standard).
Least edge distance ÷ dLeast edge distance as a multiple of the indentation diameter (from your test standard).
Least spacing ÷ dLeast centre spacing as a multiple of the indentation diameter (from your test standard).
Specification minimumHBWLowest hardness the specification allows.
Specification maximumHBWHighest hardness the specification allows.

What each input means

Open an input to see what it is, its units, the worked example and the common mistakes, with a small diagram.

What this means: Test force
Illustration: Test forceA block with an arrow pushing on it; the arrow is the force Test force.FExample: 3000 kgfTest force
What it is
The test force applied to the ball, in kilograms-force as Brinell hardness numbers are defined.
Units and format
Enter a number in kgf: kgf. The form accepts 0.000001 kgf to 5000 kgf. Required: the tool does not calculate until every input is valid.
Example
The form opens with 3000 kgf as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
For the same indentation, hardness rises in direct proportion.
Get it right
kgf, not N: 1 kgf = 9.807 N.
What this means: Ball diameter
Illustration: Ball diameterA circle with a line straight through its centre from edge to edge, marking the diameter Ball diameter.Dmeasured acrossthe centreExample: 10 mmBall diameter
What it is
The diameter of the hardmetal ball indenter used for the test.
Units and format
Enter a number in mm: millimetres. The form accepts 1 mm to 10 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 10 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
What this means: Indentation diameter 1
Illustration: Indentation diameter 1A circle with a line straight through its centre from edge to edge, marking the diameter Indentation diameter 1.d₁measured acrossthe centreExample: 4 mmIndentation diameter 1
What it is
The indentation diameter measured across the impression in one direction.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 10 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 4 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Small reading errors matter: hardness changes faster than the diameter error.
What this means: Indentation diameter 2 (perpendicular)
Illustration: Indentation diameter 2 (perpendicular)A circle with a line straight through its centre from edge to edge, marking the diameter Indentation diameter 2 (perpendicular).d₂measured acrossthe centreExample: 4.02 mmIndentation diameter 2 (perpendicular)
What it is
The indentation diameter measured at right angles to the first; the tool averages the two.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 10 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 4.02 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
What this means: Specimen thickness
Illustration: Specimen thicknessThe cross-section of a plate or wall with a dimension across its thickness, marking Specimen thickness.tsection through the materialExample: 6 mmSpecimen thickness
What it is
The thickness of the specimen beneath the indentation, checked against the indentation depth.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 1000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 6 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
What this means: Distance from indentation centre to the edge
Illustration: Distance from indentation centre to the edgeA bar with a dimension line and arrows from one end to the other, marking the length Distance from indentation centre to the edge.LExample: 12 mmDistance from indentation centre to the edge
What it is
The distance from the indentation centre to the nearest edge of the specimen.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 1000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 12 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
What this means: Distance to the nearest other indentation centre
Illustration: Distance to the nearest other indentation centreA row of repeated features with a dimension from the centre of one to the centre of the next, marking the pitch Distance to the nearest other indentation centre.pExample: 14 mmDistance to the nearest other indentation cen…
What it is
The centre-to-centre distance from this indentation to the nearest other indentation.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 1000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 14 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.

Your rules and specification

What this means: Smallest d ÷ D
Illustration: Smallest d ÷ DTwo wheels of different sizes linked together; Smallest d ÷ D compares one with the other.iExample: 0.24Smallest d ÷ D
What it is
The smallest indentation diameter ÷ ball diameter that your test standard allows for a valid test.
Units and format
Enter a plain number with no unit. The form accepts 0.1 to 0.5. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.24 as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
What this means: Largest d ÷ D
Illustration: Largest d ÷ DTwo wheels of different sizes linked together; Largest d ÷ D compares one with the other.iExample: 0.6Largest d ÷ D
What it is
The largest indentation ratio d ÷ D that your test standard allows for a valid test.
Units and format
Enter a plain number with no unit. The form accepts 0.3 to 0.9. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.6 as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
What this means: Least thickness ÷ depth
Illustration: Least thickness ÷ depthTwo bars: a base value and the same value multiplied by Least thickness ÷ depth, the factor.base valuewith factor×Example: 8Least thickness ÷ depth
What it is
The multiple of the indentation depth that the specimen thickness must reach so the support does not affect the reading.
Units and format
Enter a plain number with no unit. The form accepts 1 to 20. Required: the tool does not calculate until every input is valid.
Example
The form opens with 8 as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
What this means: Least edge distance ÷ d
Illustration: Least edge distance ÷ dTwo bars: a base value and the same value multiplied by Least edge distance ÷ d, the factor.base valuewith factor×Example: 2.5Least edge distance ÷ d
What it is
The multiple of the indentation diameter required between the indentation centre and the specimen edge.
Units and format
Enter a plain number with no unit. The form accepts 1 to 10. Required: the tool does not calculate until every input is valid.
Example
The form opens with 2.5 as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
What this means: Least spacing ÷ d
Illustration: Least spacing ÷ dTwo bars: a base value and the same value multiplied by Least spacing ÷ d, the factor.base valuewith factor×Example: 3Least spacing ÷ d
What it is
The multiple of the indentation diameter required between neighbouring indentation centres.
Units and format
Enter a plain number with no unit. The form accepts 1 to 10. Required: the tool does not calculate until every input is valid.
Example
The form opens with 3 as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
What this means: Specification minimum
Illustration: Specification minimumA number line with a marker at the value of Specification minimum, between its lowest and highest accepted values.0800Example: 200 HBWSpecification minimum
What it is
The lowest Brinell hardness the drawing or material specification allows.
Units and format
Enter a number in HBW: HBW. The form accepts 0 HBW to 800 HBW. Required: the tool does not calculate until every input is valid.
Example
The form opens with 200 HBW as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
What this means: Specification maximum
Illustration: Specification maximumA number line with a marker at the value of Specification maximum, between its lowest and highest accepted values.1800Example: 250 HBWSpecification maximum
What it is
The highest Brinell hardness the drawing or material specification allows.
Units and format
Enter a number in HBW: HBW. The form accepts 1 HBW to 800 HBW. Required: the tool does not calculate until every input is valid.
Example
The form opens with 250 HBW as a worked example. It is an illustration, not a recommended value: replace it with your own figure.

Method and formulas

  1. Mean d = (d₁ + d₂) ÷ 2; HB = 2F ÷ [π D (D − √(D² − d²))]; depth = [D − √(D² − d²)] ÷ 2 (as the Brinell hardness tool).
  2. Validity: d ÷ D within the limits; thickness ≥ k × depth; edge ≥ k × d; spacing ≥ k × d.
  3. Approximate tensile strength (steel) ≈ 3.45 HB MPa.
  4. Example: d = 4.01 mm gives 227.58 HBW (about 785.14 MPa); the test meets the validity rules.

Limitations

  • Indentation diameters must be measured accurately; a 1% error gives about 2% in hardness.
  • Tensile estimate is approximate and for steels only.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Check a Brinell result before reporting it
  • Choose a load and ball for a thin part
  • Screen castings or forgings for hardness

Who it is for

  • Test laboratory technicians
  • Quality inspectors
  • Materials engineers

What you get

  • Mean diameter, hardness and depth
  • Validity checks
  • Specification and tensile estimate

Interpreting the result

  • If the indentation is too large or too small for the ball, change the force so that d ÷ D falls in range.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 1406–1412. Topic reference; no source tables or recommended settings are reproduced.
  • ISO 6506-1 Metallic materials — Brinell hardness test — Part 1: Test method

Learn the Concepts Behind This Tool

These BIZOMAT Library readings explain the method this tool uses, with worked examples.

BIZOMAT tools are screening and decision-support utilities. Verify important financial, engineering, safety, legal or operational decisions using appropriate professional standards and your organisation’s approved data.

Open the Brinell Hardness Test Check (Hardness, Validity Rules, Specification) calculator