Cutting Force for Frictional Force along Tool Rake Face and Thrust Force Calculator

✖Frictional Force in machining refers to the force generated by two surfaces that contacts and slide against each other.ⓘ Frictional Force in Machining [F]			+10% -10%
✖Thrust force in machining acting perpendicular to job piece.ⓘ Thrust force in Machining [F_T]			+10% -10%
✖The orthogonal Rake Angle is the angle of orientation of the tool's rake surface from the reference plane and measured on a normal plane in orthogonal cutting.ⓘ Orthogonal Rake Angle [α_o]			+10% -10%

✖Cutting Force is the force in the direction of cutting, the same direction as the cutting speed.ⓘ Cutting Force for Frictional Force along Tool Rake Face and Thrust Force [F_c]

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Formula

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Cutting Force for Frictional Force along Tool Rake Face and Thrust Force

Formula

`"F"_{"c"} = ("F"-("F"_{"T"}*(cos("α"_{"o"}))))/(sin("α"_{"o"}))`

Example

`"11.33975N"=("10N"-("5N"*(cos("30°"))))/(sin("30°"))`

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Cutting Force for Frictional Force along Tool Rake Face and Thrust Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cutting Force = (Frictional Force in Machining-(Thrust force in Machining*(cos(Orthogonal Rake Angle))))/(sin(Orthogonal Rake Angle))
F_c = (F-(F_T*(cos(α_o))))/(sin(α_o))
This formula uses 2 Functions, 4 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Cutting Force - (Measured in Newton) - Cutting Force is the force in the direction of cutting, the same direction as the cutting speed.
Frictional Force in Machining - (Measured in Newton) - Frictional Force in machining refers to the force generated by two surfaces that contacts and slide against each other.
Thrust force in Machining - (Measured in Newton) - Thrust force in machining acting perpendicular to job piece.
Orthogonal Rake Angle - (Measured in Radian) - The orthogonal Rake Angle is the angle of orientation of the tool's rake surface from the reference plane and measured on a normal plane in orthogonal cutting.

STEP 1: Convert Input(s) to Base Unit

Frictional Force in Machining: 10 Newton --> 10 Newton No Conversion Required
Thrust force in Machining: 5 Newton --> 5 Newton No Conversion Required
Orthogonal Rake Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_c = (F-(F_T*(cos(α_o))))/(sin(α_o)) --> (10-(5*(cos(0.5235987755982))))/(sin(0.5235987755982))

Evaluating ... ...

F_c = 11.3397459621556

STEP 3: Convert Result to Output's Unit

11.3397459621556 Newton --> No Conversion Required

FINAL ANSWER

11.3397459621556 ≈ 11.33975 Newton <-- Cutting Force

(Calculation completed in 00.020 seconds)

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Home » Engineering » Production Engineering » Metal Cutting » Merchant Force Circle » Cutting Force » Cutting Force for Frictional Force along Tool Rake Face and Thrust Force

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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< 6 Cutting Force Calculators

Cutting force for shear stress, width of cut, uncut chip thickness, friction, rake and shear angles

Go Cutting Force = ((Average Shear Stress on Shear Plane*Width of Cut*Uncut Chip Thickness)*cos(Friction Angle-Rake Angle))/(cos(Shear Angle+Friction Angle-Rake Angle))

Cutting force for given force along shear force, shear, friction and normal rake angles

Go Cutting Force = Force Along Shear Force*cos(Friction Angle-Rake Angle)/cos(Shear Angle+Friction Angle-Rake Angle)

Cutting Force for Frictional Force along Tool Rake Face and Thrust Force

Go Cutting Force = (Frictional Force in Machining-(Thrust force in Machining*(cos(Orthogonal Rake Angle))))/(sin(Orthogonal Rake Angle))

Cutting Force given Thrust Force and Normal Rake Angle

Go Cutting Force = (Force Normal to Shear Force+Thrust force in Machining*sin(Orthogonal Rake Angle))/cos(Orthogonal Rake Angle)

Cutting Force given Shear Force and Thrust Force

Go Cutting Force = (Force Along Shear Force+(Thrust force in Machining*(sin(Shear Angle))))/(cos(Shear Angle))

Cutting force for given resultant force in merchant circle, friction angle and normal rake angle

Go Cutting Force = Resultant Force*(cos(Friction Angle-Rake Angle))

Cutting Force for Frictional Force along Tool Rake Face and Thrust Force Formula

Cutting Force = (Frictional Force in Machining-(Thrust force in Machining*(cos(Orthogonal Rake Angle))))/(sin(Orthogonal Rake Angle))
F_c = (F-(F_T*(cos(α_o))))/(sin(α_o))

What is Force Relationship in Orthogonal Cutting?

Merchant's Circle Diagram is constructed to ease the analysis of cutting forces acting during orthogonal (Two Dimensional) cutting of workpiece. Please refer to the topic for force relationship in orthogonal cutting.

What is cutting force for this relation?

It is the force in the direction of cutting, the same direction as the cutting speed. The horizontal component is the cutting force Fc and the vertical component is the thrust force Ft.

How to Calculate Cutting Force for Frictional Force along Tool Rake Face and Thrust Force?

Cutting Force for Frictional Force along Tool Rake Face and Thrust Force calculator uses Cutting Force = (Frictional Force in Machining-(Thrust force in Machining*(cos(Orthogonal Rake Angle))))/(sin(Orthogonal Rake Angle)) to calculate the Cutting Force, The Cutting Force for Frictional Force along Tool Rake Face and Thrust Force formula is defined using these relations. Please refer to the Merchant theory. Cutting Force is denoted by F_c symbol.

How to calculate Cutting Force for Frictional Force along Tool Rake Face and Thrust Force using this online calculator? To use this online calculator for Cutting Force for Frictional Force along Tool Rake Face and Thrust Force, enter Frictional Force in Machining (F), Thrust force in Machining (F_T) & Orthogonal Rake Angle (α_o) and hit the calculate button. Here is how the Cutting Force for Frictional Force along Tool Rake Face and Thrust Force calculation can be explained with given input values -> -1.650635 = (10-(5*(cos(0.5235987755982))))/(sin(0.5235987755982)).

FAQ

What is Cutting Force for Frictional Force along Tool Rake Face and Thrust Force?

The Cutting Force for Frictional Force along Tool Rake Face and Thrust Force formula is defined using these relations. Please refer to the Merchant theory and is represented as F_c = (F-(F_T*(cos(α_o))))/(sin(α_o)) or Cutting Force = (Frictional Force in Machining-(Thrust force in Machining*(cos(Orthogonal Rake Angle))))/(sin(Orthogonal Rake Angle)). Frictional Force in machining refers to the force generated by two surfaces that contacts and slide against each other, Thrust force in machining acting perpendicular to job piece & The orthogonal Rake Angle is the angle of orientation of the tool's rake surface from the reference plane and measured on a normal plane in orthogonal cutting.

How to calculate Cutting Force for Frictional Force along Tool Rake Face and Thrust Force?

The Cutting Force for Frictional Force along Tool Rake Face and Thrust Force formula is defined using these relations. Please refer to the Merchant theory is calculated using Cutting Force = (Frictional Force in Machining-(Thrust force in Machining*(cos(Orthogonal Rake Angle))))/(sin(Orthogonal Rake Angle)). To calculate Cutting Force for Frictional Force along Tool Rake Face and Thrust Force, you need Frictional Force in Machining (F), Thrust force in Machining (F_T) & Orthogonal Rake Angle (α_o). With our tool, you need to enter the respective value for Frictional Force in Machining, Thrust force in Machining & Orthogonal Rake Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Cutting Force?

In this formula, Cutting Force uses Frictional Force in Machining, Thrust force in Machining & Orthogonal Rake Angle. We can use 5 other way(s) to calculate the same, which is/are as follows -

Cutting Force = (Force Along Shear Force+(Thrust force in Machining*(sin(Shear Angle))))/(cos(Shear Angle))
Cutting Force = (Force Normal to Shear Force+Thrust force in Machining*sin(Orthogonal Rake Angle))/cos(Orthogonal Rake Angle)
Cutting Force = Resultant Force*(cos(Friction Angle-Rake Angle))
Cutting Force = Force Along Shear Force*cos(Friction Angle-Rake Angle)/cos(Shear Angle+Friction Angle-Rake Angle)
Cutting Force = ((Average Shear Stress on Shear Plane*Width of Cut*Uncut Chip Thickness)*cos(Friction Angle-Rake Angle))/(cos(Shear Angle+Friction Angle-Rake Angle))

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