How to Calculate and Solve for Brinell Hardness Number | Mechanical Properties

Last Updated on January 10, 2023

The image above represents brinell hardness number.

To compute for brinell hardness number, three essential parameters are needed and these parameters are Load Applied (P), Diameter of Indenter (D) and Part of Diameter of Indenter in the Material (d).

The formula for calculating brinell hardness number:

HB = 2P/πD(D – √(D² – d²))


HB = Brinell Hardness Number
P = Load Applied
D = Diameter of Indenter
d = Part of Diameter of Indenter in Material

Given an example;
Find the brinell hardness number when the load applied is 4, the diameter of indenter is 11 and the part of diameter of indenter in material is 8.

This implies that;

P = Load Applied = 4
D = Diameter of Indenter = 11
d = Part of Diameter of Indenter in Material = 8

HB = 2P/πD(D – √(D² – d²))
HB = 2(4)/π(11)(11 – √((11)² – (8)²))
HB = (8)/(34.55)(11 – √((121) – (64)))
HB = (8)/(34.55)(11 – √(57))
HB = (8)/(34.55)(11 – (7.54))
HB = (8)/(34.5)(3.450)
HB = (8)/(119.2)
HB = 0.067

Therefore, the brinell hardness number is 0.067.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the brinell hardness number.

To get the answer and workings of the brinell hardness number using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

Web –

To get access to the professional version via web, you need to register and subscribe to have utter access to all functionalities.
You can also try the demo version via

Android (Paid) –
Android (Free) –

Apple (Paid) –
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials and Metallurgical under Engineering.

Now, Click on Mechanical Properties under Materials and Metallurgical

Now, Click on Brinell Hardness Number under Mechanical Properties

The screenshot below displays the page or activity to enter your values, to get the answer for the brinell hardness number according to the respective parameter which is the Load Applied (P), Diameter of Indenter (D) and Part of Diameter of Indenter in the Material (d).

Now, enter the values appropriately and accordingly for the parameters as required by the Load Applied (P) is 4, Diameter of Indenter (D) is 11 and Part of Diameter of Indenter in the Material (d) is 8.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the brinell hardness number and presents the formula, workings and steps too.

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