Force along shear force for given force normal to shear force, shear, friction and normal rake angle Calculator

✖Normal Force is the force which is normal to the shear force.ⓘ Normal Force [F_normal]			+10% -10%
✖Shear Angle in Metal Cutting is the inclination of the shear plane with the horizontal axis at machining point.ⓘ Shear Angle in Metal Cutting [φ_shr]			+10% -10%
✖Friction Angle in Metal Cutting is termed as the angle between the tool and chip, which resists the flow of the chip along the rake face of the tool is friction force.ⓘ Friction Angle in Metal Cutting [β_fr]			+10% -10%
✖Normal Rake Angle in Metal Cutting is the angle of orientation of the tool's rake surface from the reference plane and measured on a normal plane.ⓘ Normal Rake Angle in Metal Cutting [α_nrml]			+10% -10%

✖Force along shear force in metal cutting is the force which causes shear deformation to occur in the shear plane.ⓘ Force along shear force for given force normal to shear force, shear, friction and normal rake angle [F_shear]

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Force along shear force for given force normal to shear force, shear, friction and normal rake angle

Formula

`"F"_{"shear"} = ("F"_{"normal"})/(tan("φ"_{"shr"}+"β"_{"fr"}-"α"_{"nrml"}))`

Example

`"7.242666N"=("7.5N")/(tan("43°"+"11°"-"8°"))`

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Force along shear force for given force normal to shear force, shear, friction and normal rake angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Force Along Shear Force in Metal Cutting = (Normal Force)/(tan(Shear Angle in Metal Cutting+Friction Angle in Metal Cutting-Normal Rake Angle in Metal Cutting))
F_shear = (F_normal)/(tan(φ_shr+β_fr-α_nrml))
This formula uses 1 Functions, 5 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

Force Along Shear Force in Metal Cutting - (Measured in Newton) - Force along shear force in metal cutting is the force which causes shear deformation to occur in the shear plane.
Normal Force - (Measured in Newton) - Normal Force is the force which is normal to the shear force.
Shear Angle in Metal Cutting - (Measured in Radian) - Shear Angle in Metal Cutting is the inclination of the shear plane with the horizontal axis at machining point.
Friction Angle in Metal Cutting - (Measured in Radian) - Friction Angle in Metal Cutting is termed as the angle between the tool and chip, which resists the flow of the chip along the rake face of the tool is friction force.
Normal Rake Angle in Metal Cutting - (Measured in Radian) - Normal Rake Angle in Metal Cutting is the angle of orientation of the tool's rake surface from the reference plane and measured on a normal plane.

STEP 1: Convert Input(s) to Base Unit

Normal Force: 7.5 Newton --> 7.5 Newton No Conversion Required
Shear Angle in Metal Cutting: 43 Degree --> 0.750491578357421 Radian (Check conversion here)
Friction Angle in Metal Cutting: 11 Degree --> 0.19198621771934 Radian (Check conversion here)
Normal Rake Angle in Metal Cutting: 8 Degree --> 0.13962634015952 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_shear = (F_normal)/(tan(φ_shr+β_fr-α_nrml)) --> (7.5)/(tan(0.750491578357421+0.19198621771934-0.13962634015952))

Evaluating ... ...

F_shear = 7.24266581105524

STEP 3: Convert Result to Output's Unit

7.24266581105524 Newton --> No Conversion Required

FINAL ANSWER

7.24266581105524 ≈ 7.242666 Newton <-- Force Along Shear Force in Metal Cutting

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Cutting » Merchant Force Circle » Force Along Shear » Force along shear force for given force normal to shear force, shear, friction and normal rake angle

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< 3 Force Along Shear Calculators

Force along Shear Force given Cutting Force and Thrust Force

Go Force Along Shear Force in Metal Cutting = (Force During Cutting*cos(Shear Angle in Metal Cutting))-(Axial Thrust on Job*sin(Shear Angle in Metal Cutting))

Force along shear force for given force normal to shear force, shear, friction and normal rake angle

Go Force Along Shear Force in Metal Cutting = (Normal Force)/(tan(Shear Angle in Metal Cutting+Friction Angle in Metal Cutting-Normal Rake Angle in Metal Cutting))

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

Go Force Alongside Shear Plane = (Resultant Force in Metal Cutting)*(cos(Shear Angle in Metal Cutting+Friction Angle in Metal Cutting-Rake Angle in Metal Cutting))

Force along shear force for given force normal to shear force, shear, friction and normal rake angle Formula

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 Force along shear force?

Fs act along the shear plane, and Fn normal to the shear plane. Shear angle is the degree of angle that changes at peak frictional force and at the commencement of the experiment. Forces Fs and Fn act on the chip.

How to Calculate Force along shear force for given force normal to shear force, shear, friction and normal rake angle?

Force along shear force for given force normal to shear force, shear, friction and normal rake angle calculator uses Force Along Shear Force in Metal Cutting = (Normal Force)/(tan(Shear Angle in Metal Cutting+Friction Angle in Metal Cutting-Normal Rake Angle in Metal Cutting)) to calculate the Force Along Shear Force in Metal Cutting, Force along shear force for given force normal to shear force, shear, friction and normal rake angle is calculated using these relations. Merchant theory describes these force relationships in detail. Force Along Shear Force in Metal Cutting is denoted by F_shear symbol.

How to calculate Force along shear force for given force normal to shear force, shear, friction and normal rake angle using this online calculator? To use this online calculator for Force along shear force for given force normal to shear force, shear, friction and normal rake angle, enter Normal Force (F_normal), Shear Angle in Metal Cutting (φ_shr), Friction Angle in Metal Cutting (β_fr) & Normal Rake Angle in Metal Cutting (α_nrml) and hit the calculate button. Here is how the Force along shear force for given force normal to shear force, shear, friction and normal rake angle calculation can be explained with given input values -> 6.75303 = (7.5)/(tan(0.750491578357421+0.19198621771934-0.13962634015952)).

FAQ

What is Force along shear force for given force normal to shear force, shear, friction and normal rake angle?

Force along shear force for given force normal to shear force, shear, friction and normal rake angle is calculated using these relations. Merchant theory describes these force relationships in detail and is represented as F_shear = (F_normal)/(tan(φ_shr+β_fr-α_nrml)) or Force Along Shear Force in Metal Cutting = (Normal Force)/(tan(Shear Angle in Metal Cutting+Friction Angle in Metal Cutting-Normal Rake Angle in Metal Cutting)). Normal Force is the force which is normal to the shear force, Shear Angle in Metal Cutting is the inclination of the shear plane with the horizontal axis at machining point, Friction Angle in Metal Cutting is termed as the angle between the tool and chip, which resists the flow of the chip along the rake face of the tool is friction force & Normal Rake Angle in Metal Cutting is the angle of orientation of the tool's rake surface from the reference plane and measured on a normal plane.

How to calculate Force along shear force for given force normal to shear force, shear, friction and normal rake angle?

Force along shear force for given force normal to shear force, shear, friction and normal rake angle is calculated using these relations. Merchant theory describes these force relationships in detail is calculated using Force Along Shear Force in Metal Cutting = (Normal Force)/(tan(Shear Angle in Metal Cutting+Friction Angle in Metal Cutting-Normal Rake Angle in Metal Cutting)). To calculate Force along shear force for given force normal to shear force, shear, friction and normal rake angle, you need Normal Force (F_normal), Shear Angle in Metal Cutting (φ_shr), Friction Angle in Metal Cutting (β_fr) & Normal Rake Angle in Metal Cutting (α_nrml). With our tool, you need to enter the respective value for Normal Force, Shear Angle in Metal Cutting, Friction Angle in Metal Cutting & Normal Rake Angle in Metal Cutting 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 Along Shear Force in Metal Cutting?

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

Force Along Shear Force in Metal Cutting = (Force During Cutting*cos(Shear Angle in Metal Cutting))-(Axial Thrust on Job*sin(Shear Angle in Metal Cutting))

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