See the description of Brinell Hardness test below.

  

The Brinell Hardness Number (BHN) is calculated as follows:

 BHN = \frac{2F}{\pi D(D-\sqrt{(D^2-d^2)})}.

Schematic diagram of the test is shown below:

Brinell Test
By BrinellSkizze.jpg: Lokilechderivative work: Nerdture (talk) – BrinellSkizze.jpg, CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?curid=6547875

For further information see [1,2]

References

[1] http://www.engineersedge.com/manufacturing/brinell_hardness_test_equation_13173.htm

[2] https://en.wikipedia.org/wiki/Brinell_scale#/media/File:BrinellHardness.svg

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