Frictional Force required to continuously shear junction between surfaces Calculator

✖Real area of contact is defined as the actual or real area that is in actual contact with the other part.ⓘ Real Area of Contact [A_r]			+10% -10%
✖The 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 is the shear strength of the softer metal.ⓘ Shear Strength of Softer Metal [τ₁]			+10% -10%
✖Shear Strength of Softer Lubricant Layer is the shear strength of the softer material.ⓘ Shear Strength of Softer Lubricant Layer [τ₂]			+10% -10%

✖Force of friction, used in merchant circle where the friction force is equal to the product of coefficient of friction and normal force.ⓘ Frictional Force required to continuously shear junction between surfaces [F_friction]

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Frictional Force required to continuously shear junction between surfaces

Formula

`"F"_{"friction"} = "A"_{"r"}*(("γ"_{"m"}*"τ"_{"1"})+((1-"γ"_{"m"})*"τ"_{"2"}))`

Example

`"25N"="1250mm²"*(("0.5"*"0.03N/mm²")+((1-"0.5")*"0.01N/mm²"))`

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Frictional Force required to continuously shear junction between surfaces Solution

STEP 0: Pre-Calculation Summary

Formula Used

Force of Friction = Real Area of Contact*((Proportion of Area of Metallic Contact*Shear Strength of Softer Metal)+((1-Proportion of Area of Metallic Contact)*Shear Strength of Softer Lubricant Layer))
F_friction = A_r*((γ_m*τ₁)+((1-γ_m)*τ₂))
This formula uses 5 Variables

Variables Used

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.
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.
Proportion of Area of Metallic Contact - The 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 is the shear strength of the softer metal.
Shear Strength of Softer Lubricant Layer - (Measured in Pascal) - Shear Strength of Softer Lubricant Layer is the shear strength of the softer material.

STEP 1: Convert Input(s) to Base Unit

Real Area of Contact: 1250 Square Millimeter --> 0.00125 Square Meter (Check conversion here)
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

F_friction = A_r*((γ_m*τ₁)+((1-γ_m)*τ₂)) --> 0.00125*((0.5*30000)+((1-0.5)*10000))

Evaluating ... ...

F_friction = 25

STEP 3: Convert Result to Output's Unit

25 Newton --> No Conversion Required

FINAL ANSWER

25 Newton <-- Force of Friction

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Metal Machining Dynamics » Cutting Force and Surface Roughness » Frictional Force required to continuously shear junction between surfaces

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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

Kumar Siddhant has verified this Calculator and 100+ more calculators!

< 21 Cutting Force and Surface Roughness Calculators

Frictional Force required to continuously shear junction between surfaces

Go Force of Friction = Real Area of Contact*((Proportion of Area of Metallic Contact*Shear Strength of Softer Metal)+((1-Proportion of Area of Metallic Contact)*Shear Strength of Softer Lubricant Layer))

Shear Strength of Softer Lubricant layer given Frictional force

Go Shear Strength of Softer Lubricant Layer = ((Force of Friction/Real Area of Contact)-(Proportion of Area of Metallic Contact*Shear Strength of Softer Metal))/(1-Proportion of Area of Metallic Contact)

Area of contact given Frictional Force

Go 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))

Proportion of Area in which metallic contact occurs given Frictional Force

Go Proportion of Area of Metallic Contact = ((Force of Friction/Real Area of Contact)-Shear Strength of Softer Lubricant Layer)/(Shear Strength of Softer Metal-Shear Strength of Softer Lubricant Layer)

Shear Strength of Softer Metal given Frictional force

Go Shear Strength of Softer Metal = ((Force of Friction/Real Area of Contact)-(1-Proportion of Area of Metallic Contact)*Shear Strength of Softer Lubricant Layer)/Proportion of Area of Metallic Contact

Working major cutting edge Angle given Roughness value

Go Working Major Cutting-Edge Angle = (acot((Feed/(4*Roughness Value))-cot(Working Minor Cutting Edge)))

Working minor cutting edge Angle given Roughness value

Go Working Minor Cutting Edge = (acot((Feed/(4*Roughness Value))-cot(Working Major Cutting-Edge Angle)))

Roughness Value

Go Roughness Value = Feed/(4*(cot(Working Major Cutting-Edge Angle)+cot(Working Minor Cutting Edge)))

Feed given Roughness value

Go Feed = 4*(cot(Working Major Cutting-Edge Angle)+cot(Working Minor Cutting Edge))*Roughness Value

Rotational Frequency of Cutter given Roughness Value

Go Rotational Frequency of Cutter = sqrt(0.0642/(Roughness Value*Diameter of Cutter))*Feed Speed

Feed speed given Roughness value

Go Feed Speed = sqrt(Roughness Value*Diameter of Cutter/0.0642)*Rotational Frequency of Cutter

Diameter of Cutter given Roughness Value

Go Diameter of Cutter = (0.0642*(Feed Speed)^2)/(Roughness Value*(Rotational Frequency of Cutter)^2)

Roughness value given feed speed

Go Roughness Value = (0.0642*(Feed Speed)^2)/(Diameter of Cutter*(Rotational Frequency of Cutter)^2)

Cutting Force given Specific Cutting Energy in Machining

Go Cutting Force = Specific Cutting Energy in Machining*Cross-sectional Area of Uncut Chip

Cutting Force given Rate of Energy Consumption during Machining

Go Cutting Force = Rate of Energy Consumption during Machining/Cutting Speed

Resultant Cutting Force using Force required to remove Chip

Go Resultant Cutting Force = Force Required to Remove Chip+Plowing Force

Force required to remove Chip and acting on Tool Face

Go Force Required to Remove Chip = Resultant Cutting Force-Plowing Force

Feed given Roughness Value and corner radius

Go Feed = (Roughness Value*Corner Radius of Tool/0.0321)^(1/2)

Roughness value given corner radius

Go Roughness Value = 0.0321*(Feed)^2/Corner Radius of Tool

Corner Radius given Roughness value

Go Corner Radius of Tool = 0.0321*(Feed)^2/Roughness Value

Roughness value of tool

Go Roughness Value = 0.0321*(Feed)^2/Corner Radius of Tool

Frictional Force required to continuously shear junction between surfaces Formula

what is friction force and its types?

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 Frictional Force required to continuously shear junction between surfaces?

Frictional Force required to continuously shear junction between surfaces calculator uses Force of Friction = Real Area of Contact*((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 Force of Friction, Frictional Force required to continuously shear junction between surfaces formula is used to find the friction force required to shear the junction between surface asperities. Force of Friction is denoted by F_friction symbol.

How to calculate Frictional Force required to continuously shear junction between surfaces using this online calculator? To use this online calculator for Frictional Force required to continuously shear junction between surfaces, enter Real Area of Contact (A_r), 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 Frictional Force required to continuously shear junction between surfaces calculation can be explained with given input values -> 25 = 0.00125*((0.5*30000)+((1-0.5)*10000)).

FAQ

What is Frictional Force required to continuously shear junction between surfaces?

Frictional Force required to continuously shear junction between surfaces formula is used to find the friction force required to shear the junction between surface asperities and is represented as F_friction = A_r*((γ_m*τ₁)+((1-γ_m)*τ₂)) or Force of Friction = Real Area of Contact*((Proportion of Area of Metallic Contact*Shear Strength of Softer Metal)+((1-Proportion of Area of Metallic Contact)*Shear Strength of Softer Lubricant Layer)). Real area of contact is defined as the actual or real area that is in actual contact with the other part, The 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 is the shear strength of the softer metal & Shear Strength of Softer Lubricant Layer is the shear strength of the softer material.

How to calculate Frictional Force required to continuously shear junction between surfaces?

Frictional Force required to continuously shear junction between surfaces formula is used to find the friction force required to shear the junction between surface asperities is calculated using Force of Friction = Real Area of Contact*((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 Frictional Force required to continuously shear junction between surfaces, you need Real Area of Contact (A_r), 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 Real Area of Contact, 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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