Coefficient of friction in metal cutting Calculator

✖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%
✖Yield Pressure of Softer Material is the magnitude of the stress at which an object ceases to be elastic and transforms to plastic.ⓘ Yield Pressure of Softer Material [σ_y]			+10% -10%

✖The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.ⓘ Coefficient of friction in metal cutting [μ]

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Coefficient of friction in metal cutting

Formula

`"μ" = "τ"/"σ"_{"y"}`

Example

`"1.300018"="426.9N/mm²"/"328.38N/mm²"`

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Coefficient of friction in metal cutting Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Friction = Shear Strength of Material/Yield Pressure of Softer Material
μ = τ/σ_y
This formula uses 3 Variables

Variables Used

Coefficient of Friction - The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.
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.
Yield Pressure of Softer Material - (Measured in Pascal) - Yield Pressure of Softer Material is the magnitude of the stress at which an object ceases to be elastic and transforms to plastic.

STEP 1: Convert Input(s) to Base Unit

Shear Strength of Material: 426.9 Newton per Square Millimeter --> 426900000 Pascal (Check conversion here)
Yield Pressure of Softer Material: 328.38 Newton per Square Millimeter --> 328380000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = τ/σ_y --> 426900000/328380000

Evaluating ... ...

μ = 1.30001827151471

STEP 3: Convert Result to Output's Unit

1.30001827151471 --> No Conversion Required

FINAL ANSWER

1.30001827151471 ≈ 1.300018 <-- Coefficient of Friction

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Metal Machining Dynamics » Theory of Ernst and Merchant » Forces and Friction » Coefficient of friction in metal cutting

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

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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

Coefficient of friction in metal cutting Formula

Coefficient of Friction = Shear Strength of Material/Yield Pressure of Softer Material
μ = τ/σ_y

What is Coefficient of Friction?

The ratio of the tangential force that is needed to start or to maintain uniform relative motion between two contacting surfaces to the perpendicular force holding them in contact, the ratio usually being larger for starting than for moving friction.

How to Calculate Coefficient of friction in metal cutting?

Coefficient of friction in metal cutting calculator uses Coefficient of Friction = Shear Strength of Material/Yield Pressure of Softer Material to calculate the Coefficient of Friction, The coefficient of friction in metal cutting is defined as the ratio of the force required to move two sliding surfaces over each other, and the force holding them together. Coefficient of Friction is denoted by μ symbol.

How to calculate Coefficient of friction in metal cutting using this online calculator? To use this online calculator for Coefficient of friction in metal cutting, enter Shear Strength of Material (τ) & Yield Pressure of Softer Material (σ_y) and hit the calculate button. Here is how the Coefficient of friction in metal cutting calculation can be explained with given input values -> 1.300018 = 426900000/328380000.

FAQ

What is Coefficient of friction in metal cutting?

The coefficient of friction in metal cutting is defined as the ratio of the force required to move two sliding surfaces over each other, and the force holding them together and is represented as μ = τ/σ_y or Coefficient of Friction = Shear Strength of Material/Yield Pressure of Softer Material. Shear Strength of Material is the maximum amount of shear stress that can be tolerated by material before its failure by shear mode & Yield Pressure of Softer Material is the magnitude of the stress at which an object ceases to be elastic and transforms to plastic.

How to calculate Coefficient of friction in metal cutting?

The coefficient of friction in metal cutting is defined as the ratio of the force required to move two sliding surfaces over each other, and the force holding them together is calculated using Coefficient of Friction = Shear Strength of Material/Yield Pressure of Softer Material. To calculate Coefficient of friction in metal cutting, you need Shear Strength of Material (τ) & Yield Pressure of Softer Material (σ_y). With our tool, you need to enter the respective value for Shear Strength of Material & Yield Pressure of Softer 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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