Brinell hardness Calculator

✖Indentation Load duing the hardness test.ⓘ Indentation Load [P_load]			+10% -10%
✖Diameter of the indenter used in Brinell hardness test. The units is in millimeter.ⓘ Diameter of the indenter [D]			+10% -10%
✖Diameter of the indentation in Brinell hardness test. The units is in millimeter.ⓘ Diameter of the indentation [d]			+10% -10%

✖Brinell Hardness uses a hard, spherical indenter which is forced into the surface of the metal to be tested.ⓘ Brinell hardness [HB]

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Formula

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Brinell hardness

Formula

`"HB" = 2*"P"_{"load"}/(pi*"D"*("D"-sqrt("D"^2-"d"^2)))`

Example

`"70.46898kgf/mm²"=2*"5000N"/(pi*"10mm"*("10mm"-sqrt(("10mm")^2-("3mm")^2)))`

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Brinell hardness Solution

STEP 0: Pre-Calculation Summary

Formula Used

Brinell Hardness = 2*Indentation Load/(pi*Diameter of the indenter*(Diameter of the indenter-sqrt(Diameter of the indenter^2-Diameter of the indentation^2)))
HB = 2*P_load/(pi*D*(D-sqrt(D^2-d^2)))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Brinell Hardness - (Measured in Pascal) - Brinell Hardness uses a hard, spherical indenter which is forced into the surface of the metal to be tested.
Indentation Load - (Measured in Newton) - Indentation Load duing the hardness test.
Diameter of the indenter - (Measured in Meter) - Diameter of the indenter used in Brinell hardness test. The units is in millimeter.
Diameter of the indentation - (Measured in Meter) - Diameter of the indentation in Brinell hardness test. The units is in millimeter.

STEP 1: Convert Input(s) to Base Unit

Indentation Load: 5000 Newton --> 5000 Newton No Conversion Required
Diameter of the indenter: 10 Millimeter --> 0.01 Meter (Check conversion here)
Diameter of the indentation: 3 Millimeter --> 0.003 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

HB = 2*P_load/(pi*D*(D-sqrt(D^2-d^2))) --> 2*5000/(pi*0.01*(0.01-sqrt(0.01^2-0.003^2)))

Evaluating ... ...

HB = 691064627.570082

STEP 3: Convert Result to Output's Unit

691064627.570082 Pascal -->70.4689804948816 Kilogram-Force per Square Millimeter (Check conversion here)

FINAL ANSWER

70.4689804948816 ≈ 70.46898 Kilogram-Force per Square Millimeter <-- Brinell Hardness

(Calculation completed in 00.020 seconds)

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Created by Hariharan V S

Indian Institute of Technology (IIT), Chennai

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< 4 Hardness Calculators

Brinell hardness

Go Brinell Hardness = 2*Indentation Load/(pi*Diameter of the indenter*(Diameter of the indenter-sqrt(Diameter of the indenter^2-Diameter of the indentation^2)))

Vickers hardness

Go Vickers Hardness = 1.854*Indentation Load/(Diagonal length^2)

Knoop hardness

Go Knoop hardness = 14.2*Indentation Load/(Diagonal length^2)

Tensile strength from Brinell hardness

Go Tensile Strength = (3.45/9.8067)*Brinell Hardness

Brinell hardness Formula

Brinell Hardness = 2*Indentation Load/(pi*Diameter of the indenter*(Diameter of the indenter-sqrt(Diameter of the indenter^2-Diameter of the indentation^2)))
HB = 2*P_load/(pi*D*(D-sqrt(D^2-d^2)))

Brinell Hardness Test

Brinell hardness test utilizes a hard, spherical indenter ( hardened steel or tungsten carbide) which is forced into the surface of the metal to be tested. The diameter of the indenter is 10.00 mm.Standard loads range between 500 and 3000 kg in 500-kg increments; during a test, the load is maintained constant for a specified time (between 10 and 30 s).

How to Calculate Brinell hardness?

Brinell hardness calculator uses Brinell Hardness = 2*Indentation Load/(pi*Diameter of the indenter*(Diameter of the indenter-sqrt(Diameter of the indenter^2-Diameter of the indentation^2))) to calculate the Brinell Hardness, Brinell hardness test utilizes a hard, spherical indenter which is forced into the surface of the metal to be tested. The diameter of the hardened steel (or tungsten carbide) indenter is 10.00 mm. Brinell Hardness is denoted by HB symbol.

How to calculate Brinell hardness using this online calculator? To use this online calculator for Brinell hardness, enter Indentation Load (P_load), Diameter of the indenter (D) & Diameter of the indentation (d) and hit the calculate button. Here is how the Brinell hardness calculation can be explained with given input values -> 7.2E-6 = 2*5000/(pi*0.01*(0.01-sqrt(0.01^2-0.003^2))).

FAQ

What is Brinell hardness?

Brinell hardness test utilizes a hard, spherical indenter which is forced into the surface of the metal to be tested. The diameter of the hardened steel (or tungsten carbide) indenter is 10.00 mm and is represented as HB = 2*P_load/(pi*D*(D-sqrt(D^2-d^2))) or Brinell Hardness = 2*Indentation Load/(pi*Diameter of the indenter*(Diameter of the indenter-sqrt(Diameter of the indenter^2-Diameter of the indentation^2))). Indentation Load duing the hardness test, Diameter of the indenter used in Brinell hardness test. The units is in millimeter & Diameter of the indentation in Brinell hardness test. The units is in millimeter.

How to calculate Brinell hardness?

Brinell hardness test utilizes a hard, spherical indenter which is forced into the surface of the metal to be tested. The diameter of the hardened steel (or tungsten carbide) indenter is 10.00 mm is calculated using Brinell Hardness = 2*Indentation Load/(pi*Diameter of the indenter*(Diameter of the indenter-sqrt(Diameter of the indenter^2-Diameter of the indentation^2))). To calculate Brinell hardness, you need Indentation Load (P_load), Diameter of the indenter (D) & Diameter of the indentation (d). With our tool, you need to enter the respective value for Indentation Load, Diameter of the indenter & Diameter of the indentation and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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