Resultant Tool Force using Shear Force on Shear Plane Formula

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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. Check FAQs
Fres=Fscos((ϕ+β-γne))
Fres - Resultant Cutting Force For Shear Plane?Fs - Total Shear Force By Tool?ϕ - Shear Angle?β - Mean Friction Angle on Tool Face?γne - Working Normal Rake?

Resultant Tool Force using Shear Force on Shear Plane Example

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With units
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Here is how the Resultant Tool Force using Shear Force on Shear Plane equation looks like with Values.

Here is how the Resultant Tool Force using Shear Force on Shear Plane equation looks like with Units.

Here is how the Resultant Tool Force using Shear Force on Shear Plane equation looks like.

1346.4385Edit=971.22Editcos((11.406Edit+52.43Edit-20Edit))
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Resultant Tool Force using Shear Force on Shear Plane Solution

Follow our step by step solution on how to calculate Resultant Tool Force using Shear Force on Shear Plane?

FIRST Step Consider the formula
Fres=Fscos((ϕ+β-γne))
Next Step Substitute values of Variables
Fres=971.22Ncos((11.406°+52.43°-20°))
Next Step Convert Units
Fres=971.22Ncos((0.1991rad+0.9151rad-0.3491rad))
Next Step Prepare to Evaluate
Fres=971.22cos((0.1991+0.9151-0.3491))
Next Step Evaluate
Fres=1346.43847320987N
LAST Step Rounding Answer
Fres=1346.4385N

Resultant Tool Force using Shear Force on Shear Plane Formula Elements

Variables
Functions
Resultant Cutting Force For Shear Plane
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.
Symbol: Fres
Measurement: ForceUnit: N
Note: Value should be greater than 0.
Total Shear Force By Tool
Total Shear Force By Tool is the resultant shear force applied by the tool to the workpiece.
Symbol: Fs
Measurement: ForceUnit: N
Note: Value should be greater than 0.
Shear Angle
Shear Angle is the inclination of the shear plane with the horizontal axis at machining point.
Symbol: ϕ
Measurement: AngleUnit: °
Note: Value should be greater than 0.
Mean Friction Angle on Tool Face
The Mean Friction Angle on Tool Face corresponds to the maximum static friction force between the tool face and workpiece.
Symbol: β
Measurement: AngleUnit: °
Note: Value should be greater than 0.
Working Normal Rake
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.
Symbol: γne
Measurement: AngleUnit: °
Note: Value can be positive or negative.
cos
Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.
Syntax: cos(Angle)

Other formulas in Forces and Friction category

​Go Rate of Energy Consumption during Machining
Pm=VcutFc
​Go Cutting Speed using Rate of Energy Consumption during Machining
Vcut=PmFc
​Go Specific cutting energy in machining
ps=PmZw
​Go Rate of Energy Consumption during Machining given Specific Cutting Energy
Pm=psZw

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

Resultant Tool Force using Shear Force on Shear Plane evaluator 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 evaluate 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 Fres symbol.

How to evaluate Resultant Tool Force using Shear Force on Shear Plane using this online evaluator? To use this online evaluator for Resultant Tool Force using Shear Force on Shear Plane, enter Total Shear Force By Tool (Fs), Shear Angle (ϕ), Mean Friction Angle on Tool Face (β) & Working Normal Rake ne) and hit the calculate button.

FAQs on Resultant Tool Force using Shear Force on Shear Plane

What is the formula to find Resultant Tool Force using Shear Force on Shear Plane?
The formula of Resultant Tool Force using Shear Force on Shear Plane is expressed as Resultant Cutting Force For Shear Plane = Total Shear Force By Tool/cos((Shear Angle+Mean Friction Angle on Tool Face-Working Normal Rake)). Here is an example- 1346.438 = 971.22/cos((0.199072254482436+0.915076126820455-0.3490658503988)).
How to calculate Resultant Tool Force using Shear Force on Shear Plane?
With Total Shear Force By Tool (Fs), Shear Angle (ϕ), Mean Friction Angle on Tool Face (β) & Working Normal Rake ne) we can find Resultant Tool Force using Shear Force on Shear Plane using the formula - Resultant Cutting Force For Shear Plane = Total Shear Force By Tool/cos((Shear Angle+Mean Friction Angle on Tool Face-Working Normal Rake)). This formula also uses Cosine (cos) function(s).
Can the Resultant Tool Force using Shear Force on Shear Plane be negative?
No, the Resultant Tool Force using Shear Force on Shear Plane, measured in Force cannot be negative.
Which unit is used to measure Resultant Tool Force using Shear Force on Shear Plane?
Resultant Tool Force using Shear Force on Shear Plane is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Resultant Tool Force using Shear Force on Shear Plane can be measured.
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