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Brinell hardness Formula

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Brinell Hardness uses a hard, spherical indenter which is forced into the surface of the metal to be tested. Check FAQs

HB = 2 \cdot \frac{P load}{π \cdot D \cdot (D - \sqrt{D^{2} - d^{2}})}

HB - Brinell Hardness?P_load - Indentation Load?D - Diameter of the indenter?d - Diameter of the indentation?π - Archimedes' constant?

Brinell hardness Example

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Here is how the Brinell hardness equation looks like with Values.

Here is how the Brinell hardness equation looks like with Units.

Here is how the Brinell hardness equation looks like.

70.469 = 2 \cdot \frac{5000}{3.1416 \cdot 10 \cdot (10 - \sqrt{10^{2} - 3^{2}})}

70.469kgf/mm² = 2 \cdot \frac{5000N}{3.1416 \cdot 10mm \cdot (10mm - \sqrt{{10mm}^{2} - {3mm}^{2}})}

70.469 = 2 \cdot \frac{5000}{3.1416 \cdot 10 \cdot (10 - \sqrt{10^{2} - 3^{2}})}

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Brinell hardness Solution

Follow our step by step solution on how to calculate Brinell hardness?

FIRST Step Consider the formula

HB = 2 \cdot \frac{P load}{π \cdot D \cdot (D - \sqrt{D^{2} - d^{2}})}

Next Step Substitute values of Variables

∴

HB = 2 \cdot \frac{5000N}{π \cdot 10mm \cdot (10mm - \sqrt{{10mm}^{2} - {3mm}^{2}})}

Next Step Substitute values of Constants

∴

HB = 2 \cdot \frac{5000N}{3.1416 \cdot 10mm \cdot (10mm - \sqrt{{10mm}^{2} - {3mm}^{2}})}

Next Step Convert Units

∴

HB = 2 \cdot \frac{5000N}{3.1416 \cdot 0.01m \cdot (0.01m - \sqrt{{0.01m}^{2} - {0.003m}^{2}})}

Next Step Prepare to Evaluate

∴

HB = 2 \cdot \frac{5000}{3.1416 \cdot 0.01 \cdot (0.01 - \sqrt{{0.01}^{2} - {0.003}^{2}})}

Next Step Evaluate

∴

HB = 691064627.570082Pa

Next Step Convert to Output's Unit

∴

HB = 70.4689804948816kgf/mm²

LAST Step Rounding Answer

∴

HB = 70.469kgf/mm²

Brinell hardness Formula Elements

Variables

Constants

Functions

Brinell Hardness

Brinell Hardness uses a hard, spherical indenter which is forced into the surface of the metal to be tested.

Symbol: HB

Measurement: PressureUnit: kgf/mm²

Note: Value should be greater than 0.

Formulas to find Brinell Hardness

Indentation Load

Indentation Load duing the hardness test.

Symbol: P_load

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Indentation Load

Diameter of the indenter

Diameter of the indenter used in Brinell hardness test. The units is in millimeter.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of the indenter

Diameter of the indentation

Diameter of the indentation in Brinell hardness test. The units is in millimeter.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of the indentation

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sqrt(Number)

Other formulas in Hardness category

Go Tensile strength from Brinell hardness

TS = (\frac{3.45}{9.8067}) \cdot HB

Go Vickers hardness

HV = 1.854 \cdot \frac{P}{d^{2}}

Go Knoop hardness

HK = 14.2 \cdot \frac{P}{d^{2}}

How to Evaluate Brinell hardness?

Brinell hardness evaluator 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 evaluate 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 evaluate Brinell hardness using this online evaluator? To use this online evaluator for Brinell hardness, enter Indentation Load (P_load), Diameter of the indenter (D) & Diameter of the indentation (d) and hit the calculate button.

FAQs on Brinell hardness

What is the formula to find Brinell hardness?

The formula of Brinell hardness is expressed as 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))). Here is an example- 7.2E-6 = 2*5000/(pi*0.01*(0.01-sqrt(0.01^2-0.003^2))).

How to calculate Brinell hardness?

With Indentation Load (P_load), Diameter of the indenter (D) & Diameter of the indentation (d) we can find Brinell hardness using the 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))). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

Can the Brinell hardness be negative?

No, the Brinell hardness, measured in Pressure cannot be negative.

Which unit is used to measure Brinell hardness?

Brinell hardness is usually measured using the Kilogram-Force per Square Millimeter[kgf/mm²] for Pressure. Pascal[kgf/mm²], Kilopascal[kgf/mm²], Bar[kgf/mm²] are the few other units in which Brinell hardness can be measured.

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Brinell hardness Formula

Brinell hardness Example

Brinell hardness Solution

Brinell hardness Formula Elements

Other formulas in Hardness category

How to Evaluate Brinell hardness?

FAQs on Brinell hardness

Variable Name