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

✖Resultant force is the vector sum of cutting force and thrust force.ⓘ Resultant Force [R]			+10% -10%
✖The Friction angle is termed as the force between the tool and chip, which resists the flow of the chip along the rake face of the tool is friction force and having a friction angle β.ⓘ Friction Angle [β]			+10% -10%
✖Rake Angle is the angle of orientation of tool’s rake surface from the reference plane and measured on machine longitudinal plane.ⓘ Rake Angle [α]			+10% -10%

✖Cutting Force is the force in the direction of cutting, the same direction as the cutting speed.ⓘ Cutting force for given resultant force in merchant circle, friction angle and normal rake angle [F_c]

⎘ Copy

👎

Formula

✖

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

Formula

`"F"_{"c"} = "R"*(cos("β"-"α"))`

Example

`"11.34017N"="12.398N"*(cos("25.79°"-"1.95°"))`

Calculator

LaTeX

Reset

👍

Download Metal Cutting Formula PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

Cutting Force = Resultant Force*(cos(Friction Angle-Rake Angle))
F_c = R*(cos(β-α))
This formula uses 1 Functions, 4 Variables

Functions Used

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.
Resultant Force - (Measured in Newton) - Resultant force is the vector sum of cutting force and thrust force.
Friction Angle - (Measured in Radian) - The Friction angle is termed as the force between the tool and chip, which resists the flow of the chip along the rake face of the tool is friction force and having a friction angle β.
Rake Angle - (Measured in Radian) - Rake Angle is the angle of orientation of tool’s rake surface from the reference plane and measured on machine longitudinal plane.

STEP 1: Convert Input(s) to Base Unit

Resultant Force: 12.398 Newton --> 12.398 Newton No Conversion Required
Friction Angle: 25.79 Degree --> 0.450120414089253 Radian (Check conversion here)
Rake Angle: 1.95 Degree --> 0.034033920413883 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_c = R*(cos(β-α)) --> 12.398*(cos(0.450120414089253-0.034033920413883))

Evaluating ... ...

F_c = 11.3401743370836

STEP 3: Convert Result to Output's Unit

11.3401743370836 Newton --> No Conversion Required

FINAL ANSWER

11.3401743370836 ≈ 11.34017 Newton <-- Cutting Force

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Production Engineering » Metal Cutting » Merchant Force Circle » Cutting Force » Cutting force for given resultant force in merchant circle, friction angle and normal rake angle

Credits

Created by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

Shikha Maurya has created this Calculator and 100+ more calculators!

Verified by Rushi Shah

K J Somaiya College of Engineering (K J Somaiya), Mumbai

Rushi Shah has verified this Calculator and 200+ more calculators!

< 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 given resultant force in merchant circle, friction angle and normal rake angle Formula

Cutting Force = Resultant Force*(cos(Friction Angle-Rake Angle))
F_c = R*(cos(β-α))

What is cutting force?

The cutting force is the resistance of the material of workpiece against the intrusion of the cutting tool.

How to Calculate Cutting force for given resultant force in merchant circle, friction angle and normal rake angle?

Cutting force for given resultant force in merchant circle, friction angle and normal rake angle calculator uses Cutting Force = Resultant Force*(cos(Friction Angle-Rake Angle)) to calculate the Cutting Force, Cutting force for given resultant force in merchant circle, friction angle and normal rake angle is defined as the component of the resultant force responsible for cutting action. Cutting Force is denoted by F_c symbol.

How to calculate Cutting force for given resultant force in merchant circle, friction angle and normal rake angle using this online calculator? To use this online calculator for Cutting force for given resultant force in merchant circle, friction angle and normal rake angle, enter Resultant Force (R), Friction Angle (β) & Rake Angle (α) and hit the calculate button. Here is how the Cutting force for given resultant force in merchant circle, friction angle and normal rake angle calculation can be explained with given input values -> 7.317422 = 12.398*(cos(0.450120414089253-0.034033920413883)).

FAQ

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

Cutting force for given resultant force in merchant circle, friction angle and normal rake angle is defined as the component of the resultant force responsible for cutting action and is represented as F_c = R*(cos(β-α)) or Cutting Force = Resultant Force*(cos(Friction Angle-Rake Angle)). Resultant force is the vector sum of cutting force and thrust force, The Friction angle is termed as the force between the tool and chip, which resists the flow of the chip along the rake face of the tool is friction force and having a friction angle β & Rake Angle is the angle of orientation of tool’s rake surface from the reference plane and measured on machine longitudinal plane.

How to calculate Cutting force for given resultant force in merchant circle, friction angle and normal rake angle?

Cutting force for given resultant force in merchant circle, friction angle and normal rake angle is defined as the component of the resultant force responsible for cutting action is calculated using Cutting Force = Resultant Force*(cos(Friction Angle-Rake Angle)). To calculate Cutting force for given resultant force in merchant circle, friction angle and normal rake angle, you need Resultant Force (R), Friction Angle (β) & Rake Angle (α). With our tool, you need to enter the respective value for Resultant Force, Friction Angle & 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 Resultant Force, Friction Angle & 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 = (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 = 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))

Home

FREE PDFs

🔍 Search