Cutting Force given Thrust Force and Normal Rake Angle Calculator

✖Force normal to shear Force can be referred as the force which is perpendicular to the shear force.ⓘ Force Normal to Shear Force [F_N]			+10% -10%
✖Thrust force in machining is the force 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%

✖Force Exerted During Cutting is the force on workpiece in the direction of cutting, the same direction as the cutting speed.ⓘ Cutting Force given Thrust Force and Normal Rake Angle [F_c]

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Formula

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Cutting Force given Thrust Force and Normal Rake Angle

Formula

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

Example

`"11.33916N"=("7.32N"+"5N"*sin("30°"))/cos("30°")`

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Cutting Force given Thrust Force and Normal Rake Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Force Exerted During Cutting = (Force Normal to Shear Force+Thrust force in Machining*sin(Orthogonal Rake Angle))/cos(Orthogonal Rake Angle)
F_c = (F_N+F_T*sin(α_o))/cos(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

Force Exerted During Cutting - (Measured in Newton) - Force Exerted During Cutting is the force on workpiece in the direction of cutting, the same direction as the cutting speed.
Force Normal to Shear Force - (Measured in Newton) - Force normal to shear Force can be referred as the force which is perpendicular to the shear force.
Thrust force in Machining - (Measured in Newton) - Thrust force in machining is the force 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

Force Normal to Shear Force: 7.32 Newton --> 7.32 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_N+F_T*sin(α_o))/cos(α_o) --> (7.32+5*sin(0.5235987755982))/cos(0.5235987755982)

Evaluating ... ...

F_c = 11.3391592868843

STEP 3: Convert Result to Output's Unit

11.3391592868843 Newton --> No Conversion Required

FINAL ANSWER

11.3391592868843 ≈ 11.33916 Newton <-- Force Exerted During Cutting

(Calculation completed in 00.020 seconds)

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Credits

Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has created this Calculator and 300+ more calculators!

Verified by Rushi Shah

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

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

Cutting Force given Thrust Force and Normal Rake Angle Formula

Force Exerted During Cutting = (Force Normal to Shear Force+Thrust force in Machining*sin(Orthogonal Rake Angle))/cos(Orthogonal Rake Angle)
F_c = (F_N+F_T*sin(α_o))/cos(α_o)

Calculating the cutting force acting on job piece.

Cutting force act in direction of cutting velocity, this is used to find the normal force and thrust force acting on the job piece

How to Calculate Cutting Force given Thrust Force and Normal Rake Angle?

Cutting Force given Thrust Force and Normal Rake Angle calculator uses Force Exerted During Cutting = (Force Normal to Shear Force+Thrust force in Machining*sin(Orthogonal Rake Angle))/cos(Orthogonal Rake Angle) to calculate the Force Exerted During Cutting, The Cutting Force given Thrust Force and Normal Rake Angle formula is defined as the ratio of normal force plus the thrust force acting on the job piece to the cos of normal rake angle. Force Exerted During Cutting is denoted by F_c symbol.

How to calculate Cutting Force given Thrust Force and Normal Rake Angle using this online calculator? To use this online calculator for Cutting Force given Thrust Force and Normal Rake Angle, enter Force Normal to Shear Force (F_N), Thrust force in Machining (F_T) & Orthogonal Rake Angle (α_o) and hit the calculate button. Here is how the Cutting Force given Thrust Force and Normal Rake Angle calculation can be explained with given input values -> 15.66929 = (7.32+5*sin(0.5235987755982))/cos(0.5235987755982).

FAQ

What is Cutting Force given Thrust Force and Normal Rake Angle?

The Cutting Force given Thrust Force and Normal Rake Angle formula is defined as the ratio of normal force plus the thrust force acting on the job piece to the cos of normal rake angle and is represented as F_c = (F_N+F_T*sin(α_o))/cos(α_o) or Force Exerted During Cutting = (Force Normal to Shear Force+Thrust force in Machining*sin(Orthogonal Rake Angle))/cos(Orthogonal Rake Angle). Force normal to shear Force can be referred as the force which is perpendicular to the shear force, Thrust force in machining is the force 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 given Thrust Force and Normal Rake Angle?

The Cutting Force given Thrust Force and Normal Rake Angle formula is defined as the ratio of normal force plus the thrust force acting on the job piece to the cos of normal rake angle is calculated using Force Exerted During Cutting = (Force Normal to Shear Force+Thrust force in Machining*sin(Orthogonal Rake Angle))/cos(Orthogonal Rake Angle). To calculate Cutting Force given Thrust Force and Normal Rake Angle, you need Force Normal to Shear Force (F_N), Thrust force in Machining (F_T) & Orthogonal Rake Angle (α_o). With our tool, you need to enter the respective value for Force Normal to Shear Force, 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 Force Exerted During Cutting?

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

Force Exerted During Cutting = (Force Along Shear Force+(Thrust force in Machining*sin(Shear Angle)))/(cos(Shear Angle))
Force Exerted During Cutting = (Frictional Force in Machining-(Thrust force in Machining*(cos(Orthogonal Rake Angle))))/(sin(Orthogonal Rake Angle))
Force Exerted During Cutting = Resultant Force*cos(Friction Angle-Rake Angle)
Force Exerted During Cutting = Force Along Shear Force*cos(Friction Angle-Rake Angle)/cos(Shear Angle+Friction Angle-Rake Angle)
Force Exerted During Cutting = (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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