FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Hardness of work material Formula

Fx Copy

LaTeX Copy

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

h b = \frac{ρ}{12 \cdot {(\frac{Z w}{A 0 \cdot N \cdot {d mean}^{3} \cdot V^{\frac{3}{2}}})}^{\frac{4}{3}}}

h_b - Brinell Hardness?ρ - Density?Z_w - Metal Removal Rate?A₀ - Empirical Constant?N - Abrasive Particles Number Impacting Per Unit Time?d_mean - Mean Diameter of Abrasive Particles?V - Velocity?

Hardness of work material Example

With values

With units

Only example

Here is how the Hardness of work material equation looks like with Values.

Here is how the Hardness of work material equation looks like with Units.

Here is how the Hardness of work material equation looks like.

200 = \frac{997}{12 \cdot {(\frac{0.16}{100 \cdot 5 \cdot 4^{3} \cdot {1.4E+6}^{\frac{3}{2}}})}^{\frac{4}{3}}}

200kgf/mm² = \frac{997kg/m³}{12 \cdot {(\frac{0.16m³/s}{100 \cdot 5 \cdot {4mm}^{3} \cdot {1.4E+6m/s}^{\frac{3}{2}}})}^{\frac{4}{3}}}

200 = \frac{997}{12 \cdot {(\frac{0.16}{100 \cdot 5 \cdot 4^{3} \cdot {1.4E+6}^{\frac{3}{2}}})}^{\frac{4}{3}}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Production Engineering » Category

Unconventional machining processes » fx Hardness of work material

Hardness of work material Solution

Follow our step by step solution on how to calculate Hardness of work material?

FIRST Step Consider the formula

h b = \frac{ρ}{12 \cdot {(\frac{Z w}{A 0 \cdot N \cdot {d mean}^{3} \cdot V^{\frac{3}{2}}})}^{\frac{4}{3}}}

Next Step Substitute values of Variables

∴

h b = \frac{997kg/m³}{12 \cdot {(\frac{0.16m³/s}{100 \cdot 5 \cdot {4mm}^{3} \cdot {1.4E+6m/s}^{\frac{3}{2}}})}^{\frac{4}{3}}}

Next Step Convert Units

∴

h b = \frac{997kg/m³}{12 \cdot {(\frac{0.16m³/s}{100 \cdot 5 \cdot {0.004m}^{3} \cdot {1.4E+6m/s}^{\frac{3}{2}}})}^{\frac{4}{3}}}

Next Step Prepare to Evaluate

∴

h b = \frac{997}{12 \cdot {(\frac{0.16}{100 \cdot 5 \cdot {0.004}^{3} \cdot {1.4E+6}^{\frac{3}{2}}})}^{\frac{4}{3}}}

Next Step Evaluate

∴

h b = 1961329999.99987Pa

LAST Step Convert to Output's Unit

∴

h b = 200kgf/mm²

Hardness of work material Formula Elements

Variables

Brinell Hardness

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

Symbol: h_b

Measurement: PressureUnit: kgf/mm²

Note: Value should be greater than 0.

Formulas to find Brinell Hardness

Density

The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density

Metal Removal Rate

Metal Removal Rate(MRR) is the amount of material removed per time unit (usually per minute) when performing machining operations such as using a lathe or milling machine.

Symbol: Z_w

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Metal Removal Rate

Empirical Constant

The Empirical constant is a self determined constant whose value is accessible from table of such constants. This constant is used to calculate the intrinsic carrier concentration.

Symbol: A₀

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Empirical Constant

Abrasive Particles Number Impacting Per Unit Time

Abrasive Particles Number Impacting Per Unit Time is defined as the average number of particles impacting work surface to cut it during Abrasive Jet Machining.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Abrasive Particles Number Impacting Per Unit Time

Mean Diameter of Abrasive Particles

Mean diameter of Abrasive Particles is the mean calculated from sampling method.

Symbol: d_mean

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Diameter of Abrasive Particles

Velocity

Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity

Other formulas in Abrasive Jet Machining (AJM) category

Go Material removal rate

Z w = A 0 \cdot N \cdot {d mean}^{3} \cdot V^{\frac{3}{2}} \cdot {(\frac{ρ}{12 \cdot h b})}^{\frac{3}{4}}

Go Empirical constant for AJM

A 0 = \frac{Z w}{N \cdot {d mean}^{3} \cdot V^{\frac{3}{2}} \cdot {(\frac{ρ}{12 \cdot h b})}^{\frac{3}{4}}}

How to Evaluate Hardness of work material?

Hardness of work material evaluator uses Brinell Hardness = Density/(12*(Metal Removal Rate/(Empirical Constant*Abrasive Particles Number Impacting Per Unit Time*Mean Diameter of Abrasive Particles^3*Velocity^(3/2)))^(4/3)) to evaluate the Brinell Hardness, The hardness of work material is a measure of its resistance to permanent deformation, indentation, or scratching. It's often quantified using various hardness testing methods such as the Rockwell, Brinell, Vickers, or Knoop scales. Each method utilizes different indentation sizes, loads, and measurement techniques. Brinell Hardness is denoted by h_b symbol.

How to evaluate Hardness of work material using this online evaluator? To use this online evaluator for Hardness of work material, enter Density (ρ), Metal Removal Rate (Z_w), Empirical Constant (A₀), Abrasive Particles Number Impacting Per Unit Time (N), Mean Diameter of Abrasive Particles (d_mean) & Velocity (V) and hit the calculate button.

FAQs on Hardness of work material

What is the formula to find Hardness of work material?

The formula of Hardness of work material is expressed as Brinell Hardness = Density/(12*(Metal Removal Rate/(Empirical Constant*Abrasive Particles Number Impacting Per Unit Time*Mean Diameter of Abrasive Particles^3*Velocity^(3/2)))^(4/3)). Here is an example- 2E-5 = 997/(12*(0.16/(100*5*0.004^3*1420686.92120444^(3/2)))^(4/3)).

How to calculate Hardness of work material?

With Density (ρ), Metal Removal Rate (Z_w), Empirical Constant (A₀), Abrasive Particles Number Impacting Per Unit Time (N), Mean Diameter of Abrasive Particles (d_mean) & Velocity (V) we can find Hardness of work material using the formula - Brinell Hardness = Density/(12*(Metal Removal Rate/(Empirical Constant*Abrasive Particles Number Impacting Per Unit Time*Mean Diameter of Abrasive Particles^3*Velocity^(3/2)))^(4/3)).

Can the Hardness of work material be negative?

No, the Hardness of work material, measured in Pressure cannot be negative.

Which unit is used to measure Hardness of work material?

Hardness of work material 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 Hardness of work material can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Hardness of work material Formula

Hardness of work material Example

Hardness of work material Solution

Hardness of work material Formula Elements

Other formulas in Abrasive Jet Machining (AJM) category

How to Evaluate Hardness of work material?

FAQs on Hardness of work material

Variable Name