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
Ar = Ff/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
Ar = Ff/τ --> 772.69/426900000
Evaluating ... ...
Ar = 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 00.004 seconds)

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7 Theory of Ernst and Merchant 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))
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

Area of contact given Total Frictional Force in metal cutting Formula

Area of Contact = Total Frictional Force by Tool/Shear Strength of Material
Ar = Ff/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 Ar 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 (Ff) & 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 Ar = Ff 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 (Ff) & 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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