Area of Contact given Frictional Force Calculator

✖Force of Friction used in merchant circle where the friction force is equal to the product of coefficient of friction and normal force.ⓘ Force of Friction [F_f]			+10% -10%
✖Proportion of Area of Metallic Contact is defined as the proportion of the area supporting the load in which metal came in contact.ⓘ Proportion of Area of Metallic Contact [γ_m]			+10% -10%
✖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.ⓘ Shear Strength of Softer Metal [τ₁]			+10% -10%
✖Shear Strength of Softer Lubricant Layer refers to the maximum stress that the lubricant material can withstand before it undergoes shear deformation.ⓘ Shear Strength of Softer Lubricant Layer [τ₂]			+10% -10%

✖Real Area of Contact is defined as the actual or real area that is in actual contact with the other part.ⓘ Area of Contact given Frictional Force [A_c]

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Area of Contact given Frictional Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
A_c = F_f/((γ_m*τ₁)+((1-γ_m)*τ₂))
This formula uses 5 Variables

Variables Used

Real Area of Contact - (Measured in Square Meter) - Real Area of Contact is defined as the actual or real area that is in actual contact with the other part.
Force of Friction - (Measured in Newton) - Force of Friction used in merchant circle where the friction force is equal to the product of coefficient of friction and normal force.
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.
Shear Strength of Softer Metal - (Measured in Pascal) - 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.
Shear Strength of Softer Lubricant Layer - (Measured in Pascal) - Shear Strength of Softer Lubricant Layer refers to the maximum stress that the lubricant material can withstand before it undergoes shear deformation.

STEP 1: Convert Input(s) to Base Unit

Force of Friction: 25 Newton --> 25 Newton No Conversion Required
Proportion of Area of Metallic Contact: 0.5 --> No Conversion Required
Shear Strength of Softer Metal: 0.03 Newton per Square Millimeter --> 30000 Pascal (Check conversion here)
Shear Strength of Softer Lubricant Layer: 0.01 Newton per Square Millimeter --> 10000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_c = F_f/((γ_m*τ₁)+((1-γ_m)*τ₂)) --> 25/((0.5*30000)+((1-0.5)*10000))

Evaluating ... ...

A_c = 0.00125

STEP 3: Convert Result to Output's Unit

0.00125 Square Meter -->1250 Square Millimeter (Check conversion here)

FINAL ANSWER

1250 Square Millimeter <-- Real Area of Contact

(Calculation completed in 00.004 seconds)

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has created this Calculator and 300+ more calculators!

Verified by Kumar Siddhant

Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

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Area of Contact given Frictional Force Formula

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what is friction force?

The friction force is the force exerted by a surface as an object moves across it or makes an effort to move across it. There are at least two types of friction force - sliding and static friction. Though it is not always the case, the friction force often opposes the motion of an object.

How to Calculate Area of Contact given Frictional Force?

Area of Contact given Frictional Force calculator 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 calculate 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 A_c symbol.

How to calculate Area of Contact given Frictional Force using this online calculator? To use this online calculator for Area of Contact given Frictional Force, enter Force of Friction (F_f), Proportion of Area of Metallic Contact (γ_m), Shear Strength of Softer Metal (τ₁) & Shear Strength of Softer Lubricant Layer (τ₂) and hit the calculate button. Here is how the Area of Contact given Frictional Force calculation can be explained with given input values -> 1.3E+9 = 25/((0.5*30000)+((1-0.5)*10000)).

FAQ

What is Area of Contact given Frictional Force?

The Area of Contact given Frictional Force is defined as the real area that is in the actual contact between the two surfaces and is represented as A_c = F_f/((γ_m*τ₁)+((1-γ_m)*τ₂)) or 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)). Force of Friction used in merchant circle where the friction force is equal to the product of coefficient of friction and normal force, Proportion of Area of Metallic Contact is defined as the proportion of the area supporting the load in which metal came in contact, 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 & Shear Strength of Softer Lubricant Layer refers to the maximum stress that the lubricant material can withstand before it undergoes shear deformation.

How to calculate Area of Contact given Frictional Force?

The Area of Contact given Frictional Force is defined as the real area that is in the actual contact between the two surfaces is calculated using 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 calculate Area of Contact given Frictional Force, you need Force of Friction (F_f), Proportion of Area of Metallic Contact (γ_m), Shear Strength of Softer Metal (τ₁) & Shear Strength of Softer Lubricant Layer (τ₂). With our tool, you need to enter the respective value for Force of Friction, Proportion of Area of Metallic Contact, Shear Strength of Softer Metal & Shear Strength of Softer Lubricant Layer 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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