Thrust Force given Cutting Force and Normal Rake Angle Calculator

✖Cutting force on job is the force in the direction of cutting, the same direction as the cutting speed.ⓘ Cutting Force on Job [F_cttng]			+10% -10%
✖The Normal Rake Angle is the angle of orientation of the tool's rake surface from the reference plane and measured on a normal plane.ⓘ Normal Rake Angle [α_nrml]			+10% -10%
✖Normal force on job is the force which is normal to the shear force.ⓘ Normal Force on Job [F_nrm]			+10% -10%

✖Thrust force on job which acts perpendicularly to work piece.ⓘ Thrust Force given Cutting Force and Normal Rake Angle [F_thrust]

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Formula

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Thrust Force given Cutting Force and Normal Rake Angle

Formula

`"F"_{"thrust"} = ("F"_{"cttng"}*cos("α"_{"nrml"})-"F"_{"nrm"})/sin("α"_{"nrml"})`

Example

`"5.147378N"=("50N"*cos("7°")-"49N")/sin("7°")`

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Thrust Force given Cutting Force and Normal Rake Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thrust Force on Job = (Cutting Force on Job*cos(Normal Rake Angle)-Normal Force on Job)/sin(Normal Rake Angle)
F_thrust = (F_cttng*cos(α_nrml)-F_nrm)/sin(α_nrml)
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

Thrust Force on Job - (Measured in Newton) - Thrust force on job which acts perpendicularly to work piece.
Cutting Force on Job - (Measured in Newton) - Cutting force on job is the force in the direction of cutting, the same direction as the cutting speed.
Normal Rake Angle - (Measured in Radian) - The Normal Rake Angle is the angle of orientation of the tool's rake surface from the reference plane and measured on a normal plane.
Normal Force on Job - (Measured in Newton) - Normal force on job is the force which is normal to the shear force.

STEP 1: Convert Input(s) to Base Unit

Cutting Force on Job: 50 Newton --> 50 Newton No Conversion Required
Normal Rake Angle: 7 Degree --> 0.12217304763958 Radian (Check conversion here)
Normal Force on Job: 49 Newton --> 49 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_thrust = (F_cttng*cos(α_nrml)-F_nrm)/sin(α_nrml) --> (50*cos(0.12217304763958)-49)/sin(0.12217304763958)

Evaluating ... ...

F_thrust = 5.147378040603

STEP 3: Convert Result to Output's Unit

5.147378040603 Newton --> No Conversion Required

FINAL ANSWER

5.147378040603 ≈ 5.147378 Newton <-- Thrust Force on Job

(Calculation completed in 00.020 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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

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< 4 Thrust Force Calculators

Thrust force for given cutting force, shear angle and force along shear force

Go Thrust Perpendicular to Workpiece = ((Cutting Force on Job*(cos(Shear Angle for Machining)))-Shear Force on Workpiece)/(sin(Shear Angle for Machining))

Thrust force for given cutting force, shear angle and force normal to shear force

Go Thrust Perpendicular to Workpiece = (Normal Force on Job-(Cutting Force on Job*(sin(Shear Angle for Machining))))/(cos(Shear Angle for Machining))

Thrust force for given frictional force along tool rake face, cutting force and normal rake angle

Go Thrust Force on Job = (Force of Friction-(Cutting Force on Job*sin(Normal Rake Angle)))/cos(Normal Rake Angle)

Thrust Force given Cutting Force and Normal Rake Angle

Go Thrust Force on Job = (Cutting Force on Job*cos(Normal Rake Angle)-Normal Force on Job)/sin(Normal Rake Angle)

Thrust Force given Cutting Force and Normal Rake Angle Formula

Thrust Force on Job = (Cutting Force on Job*cos(Normal Rake Angle)-Normal Force on Job)/sin(Normal Rake Angle)
F_thrust = (F_cttng*cos(α_nrml)-F_nrm)/sin(α_nrml)

calculating the thrust force acting on jobe piece during machining

Thrust force acts perpideicular to the job piece during machining , it helps in caluculating the cutting force and normal force acting on the body

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

Thrust Force given Cutting Force and Normal Rake Angle calculator uses Thrust Force on Job = (Cutting Force on Job*cos(Normal Rake Angle)-Normal Force on Job)/sin(Normal Rake Angle) to calculate the Thrust Force on Job, The Thrust Force given Cutting Force and Normal Rake Angle formula is defined as the ratio of cutting force subtracted to the normal force to the sine of rake angle. Thrust Force on Job is denoted by F_thrust symbol.

How to calculate Thrust Force given Cutting Force and Normal Rake Angle using this online calculator? To use this online calculator for Thrust Force given Cutting Force and Normal Rake Angle, enter Cutting Force on Job (F_cttng), Normal Rake Angle (α_nrml) & Normal Force on Job (F_nrm) and hit the calculate button. Here is how the Thrust Force given Cutting Force and Normal Rake Angle calculation can be explained with given input values -> -4910.972487 = (50*cos(0.12217304763958)-49)/sin(0.12217304763958).

FAQ

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

The Thrust Force given Cutting Force and Normal Rake Angle formula is defined as the ratio of cutting force subtracted to the normal force to the sine of rake angle and is represented as F_thrust = (F_cttng*cos(α_nrml)-F_nrm)/sin(α_nrml) or Thrust Force on Job = (Cutting Force on Job*cos(Normal Rake Angle)-Normal Force on Job)/sin(Normal Rake Angle). Cutting force on job is the force in the direction of cutting, the same direction as the cutting speed, The Normal Rake Angle is the angle of orientation of the tool's rake surface from the reference plane and measured on a normal plane & Normal force on job is the force which is normal to the shear force.

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

The Thrust Force given Cutting Force and Normal Rake Angle formula is defined as the ratio of cutting force subtracted to the normal force to the sine of rake angle is calculated using Thrust Force on Job = (Cutting Force on Job*cos(Normal Rake Angle)-Normal Force on Job)/sin(Normal Rake Angle). To calculate Thrust Force given Cutting Force and Normal Rake Angle, you need Cutting Force on Job (F_cttng), Normal Rake Angle (α_nrml) & Normal Force on Job (F_nrm). With our tool, you need to enter the respective value for Cutting Force on Job, Normal Rake Angle & Normal Force on Job 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 Thrust Force on Job?

In this formula, Thrust Force on Job uses Cutting Force on Job, Normal Rake Angle & Normal Force on Job. We can use 1 other way(s) to calculate the same, which is/are as follows -

Thrust Force on Job = (Force of Friction-(Cutting Force on Job*sin(Normal Rake Angle)))/cos(Normal Rake Angle)

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