Force along Shear Force given Cutting Force and Thrust Force Calculator

✖Force During Cutting is the force in the direction of cutting, the same direction as the cutting speed.ⓘ Force During Cutting [f_c]			+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%
✖The axial thrust on job is the resultant force of all the axial forces (F) acting on axially on job.ⓘ Axial Thrust on Job [f_a]			+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 given Cutting Force and Thrust Force [F_shear]

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Formula

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Force along Shear Force given Cutting Force and Thrust Force

Formula

`"F"_{"shear"} = ("f"_{"c"}*cos("φ"_{"shr"}))-("f"_{"a"}*sin("φ"_{"shr"}))`

Example

`"7.242596N"=("12.9803N"*cos("43°"))-("3.3N"*sin("43°"))`

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Force along Shear Force given Cutting Force and Thrust Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
F_shear = (f_c*cos(φ_shr))-(f_a*sin(φ_shr))
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 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.
Force During Cutting - (Measured in Newton) - Force During Cutting is the force in the direction of cutting, the same direction as the cutting speed.
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.
Axial Thrust on Job - (Measured in Newton) - The axial thrust on job is the resultant force of all the axial forces (F) acting on axially on job.

STEP 1: Convert Input(s) to Base Unit

Force During Cutting: 12.9803 Newton --> 12.9803 Newton No Conversion Required
Shear Angle in Metal Cutting: 43 Degree --> 0.750491578357421 Radian (Check conversion here)
Axial Thrust on Job: 3.3 Newton --> 3.3 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_shear = (f_c*cos(φ_shr))-(f_a*sin(φ_shr)) --> (12.9803*cos(0.750491578357421))-(3.3*sin(0.750491578357421))

Evaluating ... ...

F_shear = 7.24259586492266

STEP 3: Convert Result to Output's Unit

7.24259586492266 Newton --> No Conversion Required

FINAL ANSWER

7.24259586492266 ≈ 7.242596 Newton <-- Force Along Shear Force in Metal Cutting

(Calculation completed in 00.004 seconds)

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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 given Cutting Force and Thrust Force 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 the shear force?

The Shear force Fs acts along the shear plane and Fn normal to the shear plane. R is the resultant of Fs and Fn. The vertical component in the Merchant circle diagram is the thrust force Ft and the horizontal component is the cutting force Fc.

How to Calculate Force along Shear Force given Cutting Force and Thrust Force?

Force along Shear Force given Cutting Force and Thrust Force calculator uses 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)) to calculate the Force Along Shear Force in Metal Cutting, The Force along Shear Force given Cutting Force and Thrust Force formula is defined by the forces which cause shear deformation to occur in the shear plane. Force Along Shear Force in Metal Cutting is denoted by F_shear symbol.

How to calculate Force along Shear Force given Cutting Force and Thrust Force using this online calculator? To use this online calculator for Force along Shear Force given Cutting Force and Thrust Force, enter Force During Cutting (f_c), Shear Angle in Metal Cutting (φ_shr) & Axial Thrust on Job (f_a) and hit the calculate button. Here is how the Force along Shear Force given Cutting Force and Thrust Force calculation can be explained with given input values -> 6.845006 = (12.9803*cos(0.750491578357421))-(3.3*sin(0.750491578357421)).

FAQ

What is Force along Shear Force given Cutting Force and Thrust Force?

The Force along Shear Force given Cutting Force and Thrust Force formula is defined by the forces which cause shear deformation to occur in the shear plane and is represented as F_shear = (f_c*cos(φ_shr))-(f_a*sin(φ_shr)) or 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 During Cutting is the force in the direction of cutting, the same direction as the cutting speed, Shear Angle in Metal Cutting is the inclination of the shear plane with the horizontal axis at machining point & The axial thrust on job is the resultant force of all the axial forces (F) acting on axially on job.

How to calculate Force along Shear Force given Cutting Force and Thrust Force?

The Force along Shear Force given Cutting Force and Thrust Force formula is defined by the forces which cause shear deformation to occur in the shear plane is calculated using 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)). To calculate Force along Shear Force given Cutting Force and Thrust Force, you need Force During Cutting (f_c), Shear Angle in Metal Cutting (φ_shr) & Axial Thrust on Job (f_a). With our tool, you need to enter the respective value for Force During Cutting, Shear Angle in Metal Cutting & Axial Thrust 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 Force Along Shear Force in Metal Cutting?

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

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))

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