Cutting Force given Shear Force and Thrust Force Calculator

✖Force along shear force can be referred as the force which is along with the imaginary shear plane.ⓘ Force Along Shear Force [F_S]			+10% -10%
✖Thrust force in machining acting perpendicular to job piece.ⓘ Thrust force in Machining [F_T]			+10% -10%
✖Shear angle is the inclination of the shear plane with the horizontal axis at machining point.ⓘ Shear Angle [Φ]			+10% -10%

✖Cutting Force is the force in the direction of cutting, the same direction as the cutting speed.ⓘ Cutting Force given Shear Force and Thrust Force [F_c]

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Formula

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Cutting Force given Shear Force and Thrust Force

Formula

`"F"_{"c"} = ("F"_{"S"}+("F"_{"T"}*(sin("Φ"))))/(cos("Φ"))`

Example

`"11.3351N"=("8.16N"+("5N"*(sin("25°"))))/(cos("25°"))`

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Cutting Force given Shear Force and Thrust Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cutting Force = (Force Along Shear Force+(Thrust force in Machining*(sin(Shear Angle))))/(cos(Shear Angle))
F_c = (F_S+(F_T*(sin(Φ))))/(cos(Φ))
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.
Force Along Shear Force - (Measured in Newton) - Force along shear force can be referred as the force which is along with the imaginary shear plane.
Thrust force in Machining - (Measured in Newton) - Thrust force in machining acting perpendicular to job piece.
Shear Angle - (Measured in Radian) - Shear angle is the inclination of the shear plane with the horizontal axis at machining point.

STEP 1: Convert Input(s) to Base Unit

Force Along Shear Force: 8.16 Newton --> 8.16 Newton No Conversion Required
Thrust force in Machining: 5 Newton --> 5 Newton No Conversion Required
Shear Angle: 25 Degree --> 0.4363323129985 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_c = (F_S+(F_T*(sin(Φ))))/(cos(Φ)) --> (8.16+(5*(sin(0.4363323129985))))/(cos(0.4363323129985))

Evaluating ... ...

F_c = 11.3351021095081

STEP 3: Convert Result to Output's Unit

11.3351021095081 Newton --> No Conversion Required

FINAL ANSWER

11.3351021095081 ≈ 11.3351 Newton <-- Cutting Force

(Calculation completed in 00.004 seconds)

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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National Institute Of Technology (NIT), Hamirpur

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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 given Shear Force and Thrust Force Formula

Cutting Force = (Force Along Shear Force+(Thrust force in Machining*(sin(Shear Angle))))/(cos(Shear Angle))
F_c = (F_S+(F_T*(sin(Φ))))/(cos(Φ))

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. Merchant’s Theory is also used to consider properties and parameters of cutting tools to decrease wear and optimize efficiency and quality.

What is the cutting force in this relation?

In Merchant theory, the horizontal component is the cutting Fc and the vertical component is the thrust force Ft. The shear angle is of fundamental importance in chip formation.

How to Calculate Cutting Force given Shear Force and Thrust Force?

Cutting Force given Shear Force and Thrust Force calculator uses Cutting Force = (Force Along Shear Force+(Thrust force in Machining*(sin(Shear Angle))))/(cos(Shear Angle)) to calculate the Cutting Force, The Cutting Force given Shear Force and Thrust Force formula is the cutting force in the direction of the cutting velocity. Cutting Force is denoted by F_c symbol.

How to calculate Cutting Force given Shear Force and Thrust Force using this online calculator? To use this online calculator for Cutting Force given Shear Force and Thrust Force, enter Force Along Shear Force (F_S), Thrust force in Machining (F_T) & Shear Angle (Φ) and hit the calculate button. Here is how the Cutting Force given Shear Force and Thrust Force calculation can be explained with given input values -> 14.83241 = (8.16+(5*(sin(0.4363323129985))))/(cos(0.4363323129985)).

FAQ

What is Cutting Force given Shear Force and Thrust Force?

The Cutting Force given Shear Force and Thrust Force formula is the cutting force in the direction of the cutting velocity and is represented as F_c = (F_S+(F_T*(sin(Φ))))/(cos(Φ)) or Cutting Force = (Force Along Shear Force+(Thrust force in Machining*(sin(Shear Angle))))/(cos(Shear Angle)). Force along shear force can be referred as the force which is along with the imaginary shear plane, Thrust force in machining acting perpendicular to job piece & Shear angle is the inclination of the shear plane with the horizontal axis at machining point.

How to calculate Cutting Force given Shear Force and Thrust Force?

The Cutting Force given Shear Force and Thrust Force formula is the cutting force in the direction of the cutting velocity is calculated using Cutting Force = (Force Along Shear Force+(Thrust force in Machining*(sin(Shear Angle))))/(cos(Shear Angle)). To calculate Cutting Force given Shear Force and Thrust Force, you need Force Along Shear Force (F_S), Thrust force in Machining (F_T) & Shear Angle (Φ). With our tool, you need to enter the respective value for Force Along Shear Force, Thrust force in Machining & Shear 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 Force Along Shear Force, Thrust force in Machining & Shear Angle. We can use 5 other way(s) to calculate the same, which is/are as follows -

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