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

✖Normal force on job is the force which is normal to the shear force.ⓘ Normal Force on Job [F_nrm]			+10% -10%
✖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%
✖Shear angle for machining is the inclination of the shear plane with the horizontal axis at machining point.ⓘ Shear Angle for Machining [ϕ_s]			+10% -10%

✖Thrust perpendicular to workpiece can be referred resultant of forces represented as a single vector normal to workpiece.ⓘ Thrust force for given cutting force, shear angle and force normal to shear force [F_axial]

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Formula

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

Formula

`"F"_{"axial"} = ("F"_{"nrm"}-("F"_{"cttng"}*(sin("ϕ"_{"s"}))))/(cos("ϕ"_{"s"}))`

Example

`"24.80758N"=("49N"-("50N"*(sin("35°"))))/(cos("35°"))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Thrust Perpendicular to Workpiece = (Normal Force on Job-(Cutting Force on Job*(sin(Shear Angle for Machining))))/(cos(Shear Angle for Machining))
F_axial = (F_nrm-(F_cttng*(sin(ϕ_s))))/(cos(ϕ_s))
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 Perpendicular to Workpiece - (Measured in Newton) - Thrust perpendicular to workpiece can be referred resultant of forces represented as a single vector normal to workpiece.
Normal Force on Job - (Measured in Newton) - Normal force on job is the force which is normal to the shear force.
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.
Shear Angle for Machining - (Measured in Radian) - Shear angle for machining is the inclination of the shear plane with the horizontal axis at machining point.

STEP 1: Convert Input(s) to Base Unit

Normal Force on Job: 49 Newton --> 49 Newton No Conversion Required
Cutting Force on Job: 50 Newton --> 50 Newton No Conversion Required
Shear Angle for Machining: 35 Degree --> 0.610865238197901 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_axial = (F_nrm-(F_cttng*(sin(ϕ_s))))/(cos(ϕ_s)) --> (49-(50*(sin(0.610865238197901))))/(cos(0.610865238197901))

Evaluating ... ...

F_axial = 24.8075779388296

STEP 3: Convert Result to Output's Unit

24.8075779388296 Newton --> No Conversion Required

FINAL ANSWER

24.8075779388296 ≈ 24.80758 Newton <-- Thrust Perpendicular to Workpiece

(Calculation completed in 00.020 seconds)

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Home » Engineering » Production Engineering » Metal Cutting » Merchant Force Circle » Thrust Force » Thrust force for given cutting force, shear angle and force normal to shear force

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

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

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 thrust force in this relation?

Forces Fs and Fn act on the chip, Fs along the shear plane, and Fn normal to the shear plane. It acts normal to the direction of cutting. From Merchant theory, the horizontal component is the cutting force Fc and the vertical component is the thrust force Ft.

How to Calculate Thrust force for given cutting force, shear angle and force normal to shear force?

Thrust force for given cutting force, shear angle and force normal to shear force calculator uses Thrust Perpendicular to Workpiece = (Normal Force on Job-(Cutting Force on Job*(sin(Shear Angle for Machining))))/(cos(Shear Angle for Machining)) to calculate the Thrust Perpendicular to Workpiece, The Thrust force for given cutting force, shear angle and force normal to shear force acts in the direction perpendicular to the generated surface and thrust force is measured by a dynamometer. Thrust Perpendicular to Workpiece is denoted by F_axial symbol.

How to calculate Thrust force for given cutting force, shear angle and force normal to shear force using this online calculator? To use this online calculator for Thrust force for given cutting force, shear angle and force normal to shear force, enter Normal Force on Job (F_nrm), Cutting Force on Job (F_cttng) & Shear Angle for Machining (ϕ_s) and hit the calculate button. Here is how the Thrust force for given cutting force, shear angle and force normal to shear force calculation can be explained with given input values -> 756.2033 = (49-(50*(sin(0.610865238197901))))/(cos(0.610865238197901)).

FAQ

What is Thrust force for given cutting force, shear angle and force normal to shear force?

The Thrust force for given cutting force, shear angle and force normal to shear force acts in the direction perpendicular to the generated surface and thrust force is measured by a dynamometer and is represented as F_axial = (F_nrm-(F_cttng*(sin(ϕ_s))))/(cos(ϕ_s)) or Thrust Perpendicular to Workpiece = (Normal Force on Job-(Cutting Force on Job*(sin(Shear Angle for Machining))))/(cos(Shear Angle for Machining)). Normal force on job is the force which is normal to the shear force, Cutting force on job is the force in the direction of cutting, the same direction as the cutting speed & Shear angle for machining is the inclination of the shear plane with the horizontal axis at machining point.

How to calculate Thrust force for given cutting force, shear angle and force normal to shear force?

The Thrust force for given cutting force, shear angle and force normal to shear force acts in the direction perpendicular to the generated surface and thrust force is measured by a dynamometer is calculated using Thrust Perpendicular to Workpiece = (Normal Force on Job-(Cutting Force on Job*(sin(Shear Angle for Machining))))/(cos(Shear Angle for Machining)). To calculate Thrust force for given cutting force, shear angle and force normal to shear force, you need Normal Force on Job (F_nrm), Cutting Force on Job (F_cttng) & Shear Angle for Machining (ϕ_s). With our tool, you need to enter the respective value for Normal Force on Job, Cutting Force on Job & Shear Angle for Machining 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 Perpendicular to Workpiece?

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

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

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