Resultant Tool Force using Shear Force on Shear Plane Calculator

✖Total Shear Force By Tool is the resultant shear force applied by the tool to the workpiece.ⓘ Total Shear Force By Tool [F_s]			+10% -10%
✖Shear Angle is the inclination of the shear plane with the horizontal axis at machining point.ⓘ Shear Angle [ϕ]			+10% -10%
✖The Mean Friction Angle on Tool Face corresponds to the maximum static friction force between the tool face and workpiece.ⓘ Mean Friction Angle on Tool Face [β]			+10% -10%
✖The Working Normal Rake angle is the angle of orientation of the tool's rake surface from the reference plane and measured on a normal plane.ⓘ Working Normal Rake [γ_ne]			+10% -10%

✖Resultant Cutting Force For Shear Plane is the total force in the direction of cutting, the same direction as the cutting speed in shear plane.ⓘ Resultant Tool Force using Shear Force on Shear Plane [F_res]

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Resultant Tool Force using Shear Force on Shear Plane Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resultant Cutting Force For Shear Plane = Total Shear Force By Tool/cos((Shear Angle+Mean Friction Angle on Tool Face-Working Normal Rake))
F_res = F_s/cos((ϕ+β-γ_ne))
This formula uses 1 Functions, 5 Variables

Functions Used

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

Resultant Cutting Force For Shear Plane - (Measured in Newton) - Resultant Cutting Force For Shear Plane is the total force in the direction of cutting, the same direction as the cutting speed in shear plane.
Total Shear Force By Tool - (Measured in Newton) - Total Shear Force By Tool is the resultant shear force applied by the tool to the workpiece.
Shear Angle - (Measured in Radian) - Shear Angle is the inclination of the shear plane with the horizontal axis at machining point.
Mean Friction Angle on Tool Face - (Measured in Radian) - The Mean Friction Angle on Tool Face corresponds to the maximum static friction force between the tool face and workpiece.
Working Normal Rake - (Measured in Radian) - The Working Normal Rake angle 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

Total Shear Force By Tool: 971.22 Newton --> 971.22 Newton No Conversion Required
Shear Angle: 11.406 Degree --> 0.199072254482436 Radian (Check conversion here)
Mean Friction Angle on Tool Face: 52.43 Degree --> 0.915076126820455 Radian (Check conversion here)
Working Normal Rake: 20 Degree --> 0.3490658503988 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_res = F_s/cos((ϕ+β-γ_ne)) --> 971.22/cos((0.199072254482436+0.915076126820455-0.3490658503988))

Evaluating ... ...

F_res = 1346.43847320987

STEP 3: Convert Result to Output's Unit

1346.43847320987 Newton --> No Conversion Required

FINAL ANSWER

1346.43847320987 ≈ 1346.438 Newton <-- Resultant Cutting Force For Shear Plane

(Calculation completed in 00.004 seconds)

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

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National Institute Of Technology (NIT), Hamirpur

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< Forces and Friction Calculators

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Cutting Speed using Rate of Energy Consumption during Machining

LaTeX Go Cutting Speed = Rate of Energy Consumption During Machining/Cutting Force

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Resultant Tool Force using Shear Force on Shear Plane Formula

LaTeX Go

Resultant Cutting Force For Shear Plane = Total Shear Force By Tool/cos((Shear Angle+Mean Friction Angle on Tool Face-Working Normal Rake))
F_res = F_s/cos((ϕ+β-γ_ne))

What is resultant cutting force?

The resultant Cutting force is the resistance of the material against the intrusion of the cutting tool. The force directions and amplitudes differ in different cutting processes such as turning, milling, drilling, etc. performed in manufacturing machines –often CNC

How to Calculate Resultant Tool Force using Shear Force on Shear Plane?

Resultant Tool Force using Shear Force on Shear Plane calculator uses Resultant Cutting Force For Shear Plane = Total Shear Force By Tool/cos((Shear Angle+Mean Friction Angle on Tool Face-Working Normal Rake)) to calculate the Resultant Cutting Force For Shear Plane, Resultant Tool Force using Shear force on shear plane formulas is used to find the force applied by the tool on the layer being removed and thus to the workpiece. Resultant Cutting Force For Shear Plane is denoted by F_res symbol.

How to calculate Resultant Tool Force using Shear Force on Shear Plane using this online calculator? To use this online calculator for Resultant Tool Force using Shear Force on Shear Plane, enter Total Shear Force By Tool (F_s), Shear Angle (ϕ), Mean Friction Angle on Tool Face (β) & Working Normal Rake (γ_ne) and hit the calculate button. Here is how the Resultant Tool Force using Shear Force on Shear Plane calculation can be explained with given input values -> 1346.438 = 971.22/cos((0.199072254482436+0.915076126820455-0.3490658503988)).

FAQ

What is Resultant Tool Force using Shear Force on Shear Plane?

Resultant Tool Force using Shear force on shear plane formulas is used to find the force applied by the tool on the layer being removed and thus to the workpiece and is represented as F_res = F_s/cos((ϕ+β-γ_ne)) or Resultant Cutting Force For Shear Plane = Total Shear Force By Tool/cos((Shear Angle+Mean Friction Angle on Tool Face-Working Normal Rake)). Total Shear Force By Tool is the resultant shear force applied by the tool to the workpiece, Shear Angle is the inclination of the shear plane with the horizontal axis at machining point, The Mean Friction Angle on Tool Face corresponds to the maximum static friction force between the tool face and workpiece & The Working Normal Rake angle is the angle of orientation of the tool's rake surface from the reference plane and measured on a normal plane.

How to calculate Resultant Tool Force using Shear Force on Shear Plane?

Resultant Tool Force using Shear force on shear plane formulas is used to find the force applied by the tool on the layer being removed and thus to the workpiece is calculated using Resultant Cutting Force For Shear Plane = Total Shear Force By Tool/cos((Shear Angle+Mean Friction Angle on Tool Face-Working Normal Rake)). To calculate Resultant Tool Force using Shear Force on Shear Plane, you need Total Shear Force By Tool (F_s), Shear Angle (ϕ), Mean Friction Angle on Tool Face (β) & Working Normal Rake (γ_ne). With our tool, you need to enter the respective value for Total Shear Force By Tool, Shear Angle, Mean Friction Angle on Tool Face & Working Normal Rake 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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