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Area of Contact given Frictional Force Formula

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Real Area of Contact is defined as the actual or real area that is in actual contact with the other part. Check FAQs
Ac=Ff(γm⋅τ1)+((1-γm)⋅τ2)
Ac - Real Area of Contact?Ff - Force of Friction?γm - Proportion of Area of Metallic Contact?τ1 - Shear Strength of Softer Metal?τ2 - Shear Strength of Softer Lubricant Layer?

Area of Contact given Frictional Force Example

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Here is how the Area of Contact given Frictional Force equation looks like with Values.

Here is how the Area of Contact given Frictional Force equation looks like with Units.

Here is how the Area of Contact given Frictional Force equation looks like.

1250Edit=25Edit(0.5Edit⋅0.03Edit)+((1-0.5Edit)⋅0.01Edit)
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Area of Contact given Frictional Force Solution

Follow our step by step solution on how to calculate Area of Contact given Frictional Force?

FIRST Step Consider the formula
Ac=Ff(γm⋅τ1)+((1-γm)⋅τ2)
Next Step Substitute values of Variables
∴ Ac=25N(0.5⋅0.03N/mm²)+((1-0.5)⋅0.01N/mm²)
Next Step Convert Units
∴ Ac=25N(0.5⋅30000Pa)+((1-0.5)⋅10000Pa)
Next Step Prepare to Evaluate
∴ Ac=25(0.5⋅30000)+((1-0.5)⋅10000)
Next Step Evaluate
∴Ac=0.00125m²
LAST Step Convert to Output's Unit
∴Ac=1250mm²

Area of Contact given Frictional Force Formula Elements

Variables
Real Area of Contact
Real Area of Contact is defined as the actual or real area that is in actual contact with the other part.
Symbol: Ac
Measurement: AreaUnit: mm²
Note: Value should be greater than 0.
Formulas to find Real Area of ContactOpen Variable
Force of Friction
Force of Friction used in merchant circle where the friction force is equal to the product of coefficient of friction and normal force.
Symbol: Ff
Measurement: ForceUnit: N
Note: Value should be greater than 0.
Formulas to find Force of FrictionOpen Variable
Proportion of Area of Metallic Contact
Proportion of Area of Metallic Contact is defined as the proportion of the area supporting the load in which metal came in contact.
Symbol: γm
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Proportion of Area of Metallic ContactOpen Variable
Shear Strength of Softer Metal
Shear Strength of Softer Metal refers to the maximum stress that the metal can withstand when subjected to a shear force before it starts to deform or fail.
Symbol: τ1
Measurement: StressUnit: N/mm²
Note: Value should be greater than 0.
Formulas to find Shear Strength of Softer MetalOpen Variable
Shear Strength of Softer Lubricant Layer
Shear Strength of Softer Lubricant Layer refers to the maximum stress that the lubricant material can withstand before it undergoes shear deformation.
Symbol: τ2
Measurement: StressUnit: N/mm²
Note: Value should be greater than 0.
Formulas to find Shear Strength of Softer Lubricant LayerOpen Variable

Other formulas in Cutting Force and Surface Roughness category

​Go Cutting Force given Rate of Energy Consumption during Machining
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​Go Cutting Force given Specific Cutting Energy in Machining
Fc=Qsc⋅Acs
​Go Force required to remove Chip and Acting on Tool Face
Fr=Frc-Fp
​Go Resultant Cutting Force using Force required to remove Chip
Frc=Fr+Fp

How to Evaluate Area of Contact given Frictional Force?

Area of Contact given Frictional Force evaluator uses Real Area of Contact = Force of Friction/((Proportion of Area of Metallic Contact*Shear Strength of Softer Metal)+((1-Proportion of Area of Metallic Contact)*Shear Strength of Softer Lubricant Layer)) to evaluate the Real Area of Contact, The Area of Contact given Frictional Force is defined as the real area that is in the actual contact between the two surfaces. Real Area of Contact is denoted by Ac symbol.

How to evaluate Area of Contact given Frictional Force using this online evaluator? To use this online evaluator for Area of Contact given Frictional Force, enter Force of Friction (Ff), Proportion of Area of Metallic Contact (γm), Shear Strength of Softer Metal (τ1) & Shear Strength of Softer Lubricant Layer (τ2) and hit the calculate button.

FAQs on Area of Contact given Frictional Force

What is the formula to find Area of Contact given Frictional Force?
The formula of Area of Contact given Frictional Force is expressed as Real Area of Contact = Force of Friction/((Proportion of Area of Metallic Contact*Shear Strength of Softer Metal)+((1-Proportion of Area of Metallic Contact)*Shear Strength of Softer Lubricant Layer)). Here is an example- 1.3E+9 = 25/((0.5*30000)+((1-0.5)*10000)).
How to calculate Area of Contact given Frictional Force?
With Force of Friction (Ff), Proportion of Area of Metallic Contact (γm), Shear Strength of Softer Metal (τ1) & Shear Strength of Softer Lubricant Layer (τ2) we can find Area of Contact given Frictional Force using the formula - Real Area of Contact = Force of Friction/((Proportion of Area of Metallic Contact*Shear Strength of Softer Metal)+((1-Proportion of Area of Metallic Contact)*Shear Strength of Softer Lubricant Layer)).
Can the Area of Contact given Frictional Force be negative?
No, the Area of Contact given Frictional Force, measured in Area cannot be negative.
Which unit is used to measure Area of Contact given Frictional Force?
Area of Contact given Frictional Force is usually measured using the Square Millimeter[mm²] for Area. Square Meter[mm²], Square Kilometer[mm²], Square Centimeter[mm²] are the few other units in which Area of Contact given Frictional Force can be measured.
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