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Brinell Hardness Number Formula

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Brinell Hardness Number is a number expressing the load applied in testing in kilograms divided by the spherical area of indentation produced in the specimen in square millimeters. Check FAQs

BHN = \frac{W}{(0.5 \cdot π \cdot D) \cdot (D - {(D^{2} - {d i}^{2})}^{0.5})}

BHN - Brinell Hardness Number?W - Load?D - Diameter of Ball Indenter?d_i - Diameter of Indentation?π - Archimedes' constant?

Brinell Hardness Number Example

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Here is how the Brinell Hardness Number equation looks like with Values.

Here is how the Brinell Hardness Number equation looks like with Units.

Here is how the Brinell Hardness Number equation looks like.

3208.1335 = \frac{3.6}{(0.5 \cdot 3.1416 \cdot 62) \cdot (62 - {(62^{2} - 36^{2})}^{0.5})}

3208.1335 = \frac{3.6N}{(0.5 \cdot 3.1416 \cdot 62mm) \cdot (62mm - {({62mm}^{2} - {36mm}^{2})}^{0.5})}

3208.1335 = \frac{3.6}{(0.5 \cdot 3.1416 \cdot 62) \cdot (62 - {(62^{2} - 36^{2})}^{0.5})}

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Brinell Hardness Number Solution

Follow our step by step solution on how to calculate Brinell Hardness Number?

FIRST Step Consider the formula

BHN = \frac{W}{(0.5 \cdot π \cdot D) \cdot (D - {(D^{2} - {d i}^{2})}^{0.5})}

Next Step Substitute values of Variables

∴

BHN = \frac{3.6N}{(0.5 \cdot π \cdot 62mm) \cdot (62mm - {({62mm}^{2} - {36mm}^{2})}^{0.5})}

Next Step Substitute values of Constants

∴

BHN = \frac{3.6N}{(0.5 \cdot 3.1416 \cdot 62mm) \cdot (62mm - {({62mm}^{2} - {36mm}^{2})}^{0.5})}

Next Step Convert Units

∴

BHN = \frac{3.6N}{(0.5 \cdot 3.1416 \cdot 0.062m) \cdot (0.062m - {({0.062m}^{2} - {0.036m}^{2})}^{0.5})}

Next Step Prepare to Evaluate

∴

BHN = \frac{3.6}{(0.5 \cdot 3.1416 \cdot 0.062) \cdot (0.062 - {({0.062}^{2} - {0.036}^{2})}^{0.5})}

Next Step Evaluate

∴

BHN = 3208.13347393492

LAST Step Rounding Answer

∴

BHN = 3208.1335

Brinell Hardness Number Formula Elements

Variables

Constants

Brinell Hardness Number

Brinell Hardness Number is a number expressing the load applied in testing in kilograms divided by the spherical area of indentation produced in the specimen in square millimeters.

Symbol: BHN

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Brinell Hardness Number

Load

Load is the instantaneous load applied perpendicular to the specimen cross section.

Symbol: W

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Load

Diameter of Ball Indenter

Diameter of Ball Indenter is the diameter of indenter used for measuring the hardness.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Ball Indenter

Diameter of Indentation

Diameter of Indentation is the diameter of the rim of permanent indentation obtained.

Symbol: d_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of 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

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How to Evaluate Brinell Hardness Number?

Brinell Hardness Number evaluator uses Brinell Hardness Number = Load/((0.5*pi*Diameter of Ball Indenter)*(Diameter of Ball Indenter-(Diameter of Ball Indenter^2-Diameter of Indentation^2)^0.5)) to evaluate the Brinell Hardness Number, The Brinell Hardness Number Formula is defined as a measure of the number expressing Brinell hardness and denoting the load applied in testing in kilograms divided by the spherical area of indentation produced in the specimen in square millimeters. Brinell Hardness Number is denoted by BHN symbol.

How to evaluate Brinell Hardness Number using this online evaluator? To use this online evaluator for Brinell Hardness Number, enter Load (W), Diameter of Ball Indenter (D) & Diameter of Indentation (d_i) and hit the calculate button.

FAQs on Brinell Hardness Number

What is the formula to find Brinell Hardness Number?

The formula of Brinell Hardness Number is expressed as Brinell Hardness Number = Load/((0.5*pi*Diameter of Ball Indenter)*(Diameter of Ball Indenter-(Diameter of Ball Indenter^2-Diameter of Indentation^2)^0.5)). Here is an example- 3208.133 = 3.6/((0.5*pi*0.062)*(0.062-(0.062^2-0.036^2)^0.5)).

How to calculate Brinell Hardness Number?

With Load (W), Diameter of Ball Indenter (D) & Diameter of Indentation (d_i) we can find Brinell Hardness Number using the formula - Brinell Hardness Number = Load/((0.5*pi*Diameter of Ball Indenter)*(Diameter of Ball Indenter-(Diameter of Ball Indenter^2-Diameter of Indentation^2)^0.5)). This formula also uses Archimedes' constant .

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Brinell Hardness Number Formula

Brinell Hardness Number Example

Brinell Hardness Number Solution

Brinell Hardness Number Formula Elements

Other formulas in Stress category

How to Evaluate Brinell Hardness Number?

FAQs on Brinell Hardness Number

Variable Name