Area of contact given Total Frictional Force in metal cutting Calculator

✖The Total Frictional Force by Tool is the total amount of friction force generated while machining.ⓘ Total Frictional Force by Tool [F_f]			+10% -10%
✖Shear Strength of Material is the maximum amount of shear stress that can be tolerated by material before its failure by shear mode.ⓘ Shear Strength of Material [τ]			+10% -10%

✖Area of Contact is defined as the area which is in the contact with the surface of the tool.ⓘ Area of contact given Total Frictional Force in metal cutting [A_r]

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Area of contact given Total Frictional Force in metal cutting

Formula

`"A"_{"r"} = "F"_{"f"}/"τ"`

Example

`"1.810002mm²"="772.69N"/"426.9N/mm²"`

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Area of contact given Total Frictional Force in metal cutting Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Contact = Total Frictional Force by Tool/Shear Strength of Material
A_r = F_f/τ
This formula uses 3 Variables

Variables Used

Area of Contact - (Measured in Square Meter) - Area of Contact is defined as the area which is in the contact with the surface of the tool.
Total Frictional Force by Tool - (Measured in Newton) - The Total Frictional Force by Tool is the total amount of friction force generated while machining.
Shear Strength of Material - (Measured in Pascal) - Shear Strength of Material is the maximum amount of shear stress that can be tolerated by material before its failure by shear mode.

STEP 1: Convert Input(s) to Base Unit

Total Frictional Force by Tool: 772.69 Newton --> 772.69 Newton No Conversion Required
Shear Strength of Material: 426.9 Newton per Square Millimeter --> 426900000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_r = F_f/τ --> 772.69/426900000

Evaluating ... ...

A_r = 1.81000234246896E-06

STEP 3: Convert Result to Output's Unit

1.81000234246896E-06 Square Meter -->1.81000234246896 Square Millimeter (Check conversion here)

FINAL ANSWER

1.81000234246896 ≈ 1.810002 Square Millimeter <-- Area of Contact

(Calculation completed in 00.020 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Metal Machining Dynamics » Theory of Ernst and Merchant » Forces and Friction » Area of contact given Total Frictional Force in metal cutting

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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 Kethavath Srinath

Osmania University (OU), Hyderabad

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< 13 Forces and Friction Calculators

Normal stress due to tool

Go Normal stress = sin(Shear angle)*Resultant Cutting Force*sin((Shear angle+Mean Friction Angle on Tool Face-Working Normal Rake))/Cross-sectional Area of Uncut Chip

Normal Force on Shear Plane of Tool

Go Normal Force on Shear Plane = Resultant Cutting Force*sin((Shear angle+Mean Friction Angle on Tool Face-Working Normal Rake))

Resultant Tool Force using Shear Force on Shear Plane

Go Resultant Cutting Force = Total Shear Force by Tool/cos((Shear angle+Mean Friction Angle on Tool Face-Working Normal Rake))

Rate of Energy Consumption during Machining given Specific Cutting Energy

Go Rate of Energy Consumption during Machining = Specific Cutting Energy in Machining*Metal removal rate

Specific cutting energy in machining

Go Specific Cutting Energy in Machining = Rate of Energy Consumption during Machining/Metal removal rate

Machining Power using Overall Efficiency

Go Machining Power = Overall Machining Efficiency*Electrical Power Available for Machining

Yield Pressure given Coefficient of Friction in metal cutting

Go Yield Pressure of Softer Material = Shear Strength of Material/Coefficient of Friction

Coefficient of friction in metal cutting

Go Coefficient of Friction = Shear Strength of Material/Yield Pressure of Softer Material

Area of contact given Total Frictional Force in metal cutting

Go Area of Contact = Total Frictional Force by Tool/Shear Strength of Material

Total frictional force in metal cutting

Go Total Frictional Force by Tool = Shear Strength of Material*Area of Contact

Cutting Speed using Rate of Energy Consumption during Machining

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

Rate of Energy Consumption during Machining

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

Plowing Force using Force required to remove Chip

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

Area of contact given Total Frictional Force in metal cutting Formula

Area of Contact = Total Frictional Force by Tool/Shear Strength of Material
A_r = F_f/τ

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 Total Frictional Force in metal cutting?

Area of contact given Total Frictional Force in metal cutting calculator uses Area of Contact = Total Frictional Force by Tool/Shear Strength of Material to calculate the Area of Contact, The Area of contact given Total Frictional force in metal cutting when two objects touch, only a certain portion of their surface areas will be in contact with each other. Area of Contact is denoted by A_r symbol.

How to calculate Area of contact given Total Frictional Force in metal cutting using this online calculator? To use this online calculator for Area of contact given Total Frictional Force in metal cutting, enter Total Frictional Force by Tool (F_f) & Shear Strength of Material (τ) and hit the calculate button. Here is how the Area of contact given Total Frictional Force in metal cutting calculation can be explained with given input values -> 1.8E+6 = 772.69/426900000.

FAQ

What is Area of contact given Total Frictional Force in metal cutting?

The Area of contact given Total Frictional force in metal cutting when two objects touch, only a certain portion of their surface areas will be in contact with each other and is represented as A_r = F_f/τ or Area of Contact = Total Frictional Force by Tool/Shear Strength of Material. The Total Frictional Force by Tool is the total amount of friction force generated while machining & Shear Strength of Material is the maximum amount of shear stress that can be tolerated by material before its failure by shear mode.

How to calculate Area of contact given Total Frictional Force in metal cutting?

The Area of contact given Total Frictional force in metal cutting when two objects touch, only a certain portion of their surface areas will be in contact with each other is calculated using Area of Contact = Total Frictional Force by Tool/Shear Strength of Material. To calculate Area of contact given Total Frictional Force in metal cutting, you need Total Frictional Force by Tool (F_f) & Shear Strength of Material (τ). With our tool, you need to enter the respective value for Total Frictional Force by Tool & Shear Strength of Material 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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