Brinell Hardness Number Calculator

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

✖The 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 millimetres.ⓘ Brinell Hardness Number [BHN]

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Formula

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Brinell Hardness Number

Formula

`"BHN" = "W"_{"load"}/((0.5*pi*"D")*("D"-("D"^2-"d"_{"i"}^2)^0.5))`

Example

`"3.2E^6"="3.6kN"/((0.5*pi*"0.062m")*("0.062m"-(("0.062m")^2-("0.036m")^2)^0.5))`

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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 Indentor)*(Diameter of Ball Indentor-(Diameter of Ball Indentor^2-Diameter of Indentation^2)^0.5))
BHN = W_load/((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 - The 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 millimetres.
Load - (Measured in Newton) - Load is the instantaneous load applied perpendicular to the specimen cross section.
Diameter of Ball Indentor - (Measured in Meter) - The Diameter of ball indentor is the diameter of indentor used for measuring the hardness.
Diameter of Indentation - (Measured in Meter) - The Diameter of Indentation is the diameter of the rim of permanent indentation obtained.

STEP 1: Convert Input(s) to Base Unit

Load: 3.6 Kilonewton --> 3600 Newton (Check conversion here)
Diameter of Ball Indentor: 0.062 Meter --> 0.062 Meter No Conversion Required
Diameter of Indentation: 0.036 Meter --> 0.036 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

BHN = W_load/((0.5*pi*D)*(D-(D^2-d_i^2)^0.5)) --> 3600/((0.5*pi*0.062)*(0.062-(0.062^2-0.036^2)^0.5))

Evaluating ... ...

BHN = 3208133.47393492

STEP 3: Convert Result to Output's Unit

3208133.47393492 --> No Conversion Required

FINAL ANSWER

3208133.47393492 ≈ 3.2E+6 <-- Brinell Hardness Number

(Calculation completed in 00.004 seconds)

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< 16 Stress Calculators

Stress due to Impact Loading

Go Stress due to Loading = Load*(1+sqrt(1+(2*Cross sectional area*Bending Stress*Height at which load falls)/(Load*Length of Weld)))/Cross sectional area

Brinell Hardness Number

Go Brinell Hardness Number = Load/((0.5*pi*Diameter of Ball Indentor)*(Diameter of Ball Indentor-(Diameter of Ball Indentor^2-Diameter of Indentation^2)^0.5))

Thermal Stress in Tapered Bar

Go Thermal Stress = (4*Load*Length of Weld)/(pi*Diameter of Bigger End*Diameter of Smaller End*Bending Stress)

Beam Shear Stress

Go Shearing Stress = (Total Shear Force*First Moment of Area)/(Moment of Inertia*Thickness of Material)

Shearing Stress

Go Shearing Stress = (Shearing Force*First Moment of Area)/(Moment of Inertia*Thickness of Material)

Shear Stress in Double Parallel Fillet Weld

Go Shearing Stress = Load on Double Parallel Fillet Weld/(0.707*Length of Weld*Leg of Weld)

Thermal Stress

Go Thermal Stress = Coefficient of Thermal Expansion*Bending Stress*Change in Temperature

Bending Stress

Go Bending Stress = Bending Moment*Distance from Neutral Axis/Moment of Inertia

Torsional Shear Stress

Go Shearing Stress = (Torque*Radius of Shaft)/Polar Moment of Inertia

Shear Stress of Circular Beam

Go Stress on Body = (4*Shearing Force)/(3*Cross sectional area)

Stress due to Gradual Loading

Go Stress due to Gradual Loading = Force/Cross sectional area

Maximum Shearing Stress

Go Stress on Body = (1.5*Shearing Force)/Cross sectional area

Shear Stress

Go Shearing Stress = Tangential Force/Cross sectional area

Bulk Stress

Go Bulk Stress = Normal Inward Force/Cross sectional area

Direct Stress

Go Direct Stress = Axial Thrust/Cross sectional area

Stress due to Sudden Loading

Go Stress on Body = 2*Force/Cross sectional area

Brinell Hardness Number Formula

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 Indentor)*(Diameter of Ball Indentor-(Diameter of Ball Indentor^2-Diameter of Indentation^2)^0.5)) to calculate the Brinell Hardness Number, The 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. 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_load), Diameter of Ball Indentor (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 -> 3.2E+6 = 3600/((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 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 and is represented as BHN = W_load/((0.5*pi*D)*(D-(D^2-d_i^2)^0.5)) or Brinell Hardness Number = Load/((0.5*pi*Diameter of Ball Indentor)*(Diameter of Ball Indentor-(Diameter of Ball Indentor^2-Diameter of Indentation^2)^0.5)). Load is the instantaneous load applied perpendicular to the specimen cross section, The Diameter of ball indentor is the diameter of indentor used for measuring the hardness & The Diameter of Indentation is the diameter of the rim of permanent indentation obtained.

How to calculate Brinell Hardness Number?

The 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 is calculated using Brinell Hardness Number = Load/((0.5*pi*Diameter of Ball Indentor)*(Diameter of Ball Indentor-(Diameter of Ball Indentor^2-Diameter of Indentation^2)^0.5)). To calculate Brinell Hardness Number, you need Load (W_load), Diameter of Ball Indentor (D) & Diameter of Indentation (d_i). With our tool, you need to enter the respective value for Load, Diameter of Ball Indentor & 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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