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Brinell Hardness Number Calculator

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Stress Strain Stress and Strain

✖Load is the instantaneous load applied perpendicular to the specimen cross section.ⓘ Load [W]			+10% -10%
✖Diameter of Ball Indenter is the diameter of indenter used for measuring the hardness.ⓘ Diameter of Ball Indenter [D]			+10% -10%
✖Diameter of Indentation is the diameter of the rim of permanent indentation obtained.ⓘ Diameter of Indentation [d_i]			+10% -10%

✖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.ⓘ Brinell Hardness Number [BHN]

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Brinell Hardness Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
BHN = W/((0.5*pi*D)*(D-(D^2-d_i^2)^0.5))
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Load - (Measured in Newton) - Load is the instantaneous load applied perpendicular to the specimen cross section.
Diameter of Ball Indenter - (Measured in Meter) - Diameter of Ball Indenter is the diameter of indenter used for measuring the hardness.
Diameter of Indentation - (Measured in Meter) - Diameter of Indentation is the diameter of the rim of permanent indentation obtained.

STEP 1: Convert Input(s) to Base Unit

Load: 3.6 Newton --> 3.6 Newton No Conversion Required
Diameter of Ball Indenter: 62 Millimeter --> 0.062 Meter (Check conversion here)
Diameter of Indentation: 36 Millimeter --> 0.036 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

BHN = W/((0.5*pi*D)*(D-(D^2-d_i^2)^0.5)) --> 3.6/((0.5*pi*0.062)*(0.062-(0.062^2-0.036^2)^0.5))

Evaluating ... ...

BHN = 3208.13347393492

STEP 3: Convert Result to Output's Unit

3208.13347393492 --> No Conversion Required

FINAL ANSWER

3208.13347393492 ≈ 3208.133 <-- Brinell Hardness Number

(Calculation completed in 00.004 seconds)

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Brinell Hardness Number Formula

LaTeX Go

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))
BHN = W/((0.5*pi*D)*(D-(D^2-d_i^2)^0.5))

What is Brinell Hardness Number?

Brinell Hardness Number is a 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.

How to Calculate Brinell Hardness Number?

Brinell Hardness Number calculator 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 calculate 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 calculate Brinell Hardness Number using this online calculator? To use this online calculator for Brinell Hardness Number, enter Load (W), Diameter of Ball Indenter (D) & Diameter of Indentation (d_i) and hit the calculate button. Here is how the Brinell Hardness Number calculation can be explained with given input values -> 3208.133 = 3.6/((0.5*pi*0.062)*(0.062-(0.062^2-0.036^2)^0.5)).

FAQ

What is 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 and is represented as BHN = W/((0.5*pi*D)*(D-(D^2-d_i^2)^0.5)) or 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)). Load is the instantaneous load applied perpendicular to the specimen cross section, Diameter of Ball Indenter is the diameter of indenter used for measuring the hardness & Diameter of Indentation is the diameter of the rim of permanent indentation obtained.

How to calculate 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 is calculated using 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 calculate Brinell Hardness Number, you need Load (W), Diameter of Ball Indenter (D) & Diameter of Indentation (d_i). With our tool, you need to enter the respective value for Load, Diameter of Ball Indenter & Diameter of 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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