Force acting Normal to Rake Face given Cutting Force and Thrust Force Calculator

✖Cutting force on workpiece is the force in the direction of cutting, the same direction as the cutting speed.ⓘ Cutting Force on Workpiece [F'_c]			+10% -10%
✖Normal rake angle of cutting tool is the angle of orientation of the tool's rake surface from the reference plane and measured on a normal plane.ⓘ Normal Rake Angle of Cutting Tool [α'_normal]			+10% -10%
✖Thrust force in metal cutting which acts perpendicular to job piece.ⓘ Thrust Force in Metal Cutting [F'_t]			+10% -10%

✖Normal force induced on workpiece is the force which is normal to the shear force.ⓘ Force acting Normal to Rake Face given Cutting Force and Thrust Force [F_n]

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Formula

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Force acting Normal to Rake Face given Cutting Force and Thrust Force

Formula

`"F"_{"n"} = ("F'"_{"c"}*cos("α'"_{"normal"}))-("F'"_{"t"}*sin("α'"_{"normal"}))`

Example

`"36.6482N"=("150N"*cos("39°"))-("127N"*sin("39°"))`

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Force acting Normal to Rake Face given Cutting Force and Thrust Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Normal Force Induced on Workpiece = (Cutting Force on Workpiece*cos(Normal Rake Angle of Cutting Tool))-(Thrust Force in Metal Cutting*sin(Normal Rake Angle of Cutting Tool))
F_n = (F'_c*cos(α'_normal))-(F'_t*sin(α'_normal))
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

Normal Force Induced on Workpiece - (Measured in Newton) - Normal force induced on workpiece is the force which is normal to the shear force.
Cutting Force on Workpiece - (Measured in Newton) - Cutting force on workpiece is the force in the direction of cutting, the same direction as the cutting speed.
Normal Rake Angle of Cutting Tool - (Measured in Radian) - Normal rake angle of cutting tool is the angle of orientation of the tool's rake surface from the reference plane and measured on a normal plane.
Thrust Force in Metal Cutting - (Measured in Newton) - Thrust force in metal cutting which acts perpendicular to job piece.

STEP 1: Convert Input(s) to Base Unit

Cutting Force on Workpiece: 150 Newton --> 150 Newton No Conversion Required
Normal Rake Angle of Cutting Tool: 39 Degree --> 0.680678408277661 Radian (Check conversion here)
Thrust Force in Metal Cutting: 127 Newton --> 127 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_n = (F'_c*cos(α'_normal))-(F'_t*sin(α'_normal)) --> (150*cos(0.680678408277661))-(127*sin(0.680678408277661))

Evaluating ... ...

F_n = 36.6482045552409

STEP 3: Convert Result to Output's Unit

36.6482045552409 Newton --> No Conversion Required

FINAL ANSWER

36.6482045552409 ≈ 36.6482 Newton <-- Normal Force Induced on Workpiece

(Calculation completed in 00.020 seconds)

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Home » Engineering » Production Engineering » Metal Cutting » Merchant Force Circle » Resultants and Stress » Force acting Normal to Rake Face given Cutting Force and Thrust Force

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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 Resultants and Stress Calculators

Shear stress given cutting force, cut size, uncut chip thickness, friction, rake and shear angles

Go Average Shear Stress Induced on Shear Plane = Cutting Force on Workpiece*(cos(Shear Angle for Metal Cutting+Machining Friction Angle-Cutting Tool Rake Angle))/((Cutting Thickness*Uncut Chip Width)*cos(Machining Friction Angle-Cutting Tool Rake Angle))

Force acting Normal to Rake Face given Cutting Force and Thrust Force

Go Normal Force Induced on Workpiece = (Cutting Force on Workpiece*cos(Normal Rake Angle of Cutting Tool))-(Thrust Force in Metal Cutting*sin(Normal Rake Angle of Cutting Tool))

Normal rake angle for given Resultant force, force along shear, shear, and friction angle

Go Cutting Tool Rake Angle = Shear Angle for Metal Cutting+Machining Friction Angle-(arccos(Force Produced Along Shear Plane/Resultant Force on Workpiece))

R in merchant circle for given force along shear force, shear, friction and normal rake angles

Go Resultant Force on Workpiece = (Force Produced Along Shear Plane)*(sec(Shear Angle for Metal Cutting+Machining Friction Angle-Cutting Tool Rake Angle))

Resultant force in merchant circle for given cutting force, friction and normal rake angles

Go Resultant Force on Workpiece = Cutting Force on Workpiece*(sec(Machining Friction Angle-Cutting Tool Rake Angle))

Mean normal stress in shear plane for given normal force and shear area

Go Normal Stress on Workpiece = Normal Force Induced on Workpiece/Shear Area on Workpiece

Force acting Normal to Rake Face given Cutting Force and Thrust Force Formula

Calculation of normal force acting on a job piece.

normal force is the force acting normally to the rake angle of job, can be used for calculation of thrust force and cutting force

How to Calculate Force acting Normal to Rake Face given Cutting Force and Thrust Force?

Force acting Normal to Rake Face given Cutting Force and Thrust Force calculator uses Normal Force Induced on Workpiece = (Cutting Force on Workpiece*cos(Normal Rake Angle of Cutting Tool))-(Thrust Force in Metal Cutting*sin(Normal Rake Angle of Cutting Tool)) to calculate the Normal Force Induced on Workpiece, The Force acting Normal to Rake Face given Cutting Force and Thrust Force and normal rake angle formula is defined as the product of cutting force and cosine function of normal rake angle, subtracted by product of thrust force and sine function of normal rake angle. Normal Force Induced on Workpiece is denoted by F_n symbol.

How to calculate Force acting Normal to Rake Face given Cutting Force and Thrust Force using this online calculator? To use this online calculator for Force acting Normal to Rake Face given Cutting Force and Thrust Force, enter Cutting Force on Workpiece (F'_c), Normal Rake Angle of Cutting Tool (α'_normal) & Thrust Force in Metal Cutting (F'_t) and hit the calculate button. Here is how the Force acting Normal to Rake Face given Cutting Force and Thrust Force calculation can be explained with given input values -> 36.6482 = (150*cos(0.680678408277661))-(127*sin(0.680678408277661)).

FAQ

What is Force acting Normal to Rake Face given Cutting Force and Thrust Force?

The Force acting Normal to Rake Face given Cutting Force and Thrust Force and normal rake angle formula is defined as the product of cutting force and cosine function of normal rake angle, subtracted by product of thrust force and sine function of normal rake angle and is represented as F_n = (F'_c*cos(α'_normal))-(F'_t*sin(α'_normal)) or Normal Force Induced on Workpiece = (Cutting Force on Workpiece*cos(Normal Rake Angle of Cutting Tool))-(Thrust Force in Metal Cutting*sin(Normal Rake Angle of Cutting Tool)). Cutting force on workpiece is the force in the direction of cutting, the same direction as the cutting speed, Normal rake angle of cutting tool is the angle of orientation of the tool's rake surface from the reference plane and measured on a normal plane & Thrust force in metal cutting which acts perpendicular to job piece.

How to calculate Force acting Normal to Rake Face given Cutting Force and Thrust Force?

The Force acting Normal to Rake Face given Cutting Force and Thrust Force and normal rake angle formula is defined as the product of cutting force and cosine function of normal rake angle, subtracted by product of thrust force and sine function of normal rake angle is calculated using Normal Force Induced on Workpiece = (Cutting Force on Workpiece*cos(Normal Rake Angle of Cutting Tool))-(Thrust Force in Metal Cutting*sin(Normal Rake Angle of Cutting Tool)). To calculate Force acting Normal to Rake Face given Cutting Force and Thrust Force, you need Cutting Force on Workpiece (F'_c), Normal Rake Angle of Cutting Tool (α'_normal) & Thrust Force in Metal Cutting (F'_t). With our tool, you need to enter the respective value for Cutting Force on Workpiece, Normal Rake Angle of Cutting Tool & Thrust Force in Metal Cutting 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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