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Normal Force on Shear Plane of Tool Formula

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The Normal Force on Shear Plane is the force acting normal to the shear plane. Check FAQs

F ns = F r \cdot \sin ((ϕ + β - γ ne))

F_ns - Normal Force on Shear Plane?F_r - Resultant Cutting Force?ϕ - Shear Angle?β - Mean Friction Angle on Tool Face?γ_ne - Working Normal Rake?

Normal Force on Shear Plane of Tool Example

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Here is how the Normal Force on Shear Plane of Tool equation looks like with Values.

Here is how the Normal Force on Shear Plane of Tool equation looks like with Units.

Here is how the Normal Force on Shear Plane of Tool equation looks like.

448.4909 = 647.55 \cdot \sin ((11.406 + 52.43 - 20))

448.4909N = 647.55N \cdot \sin ((11.406° + 52.43° - 20°))

448.4909 = 647.55 \cdot \sin ((11.406 + 52.43 - 20))

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Normal Force on Shear Plane of Tool Solution

Follow our step by step solution on how to calculate Normal Force on Shear Plane of Tool?

FIRST Step Consider the formula

F ns = F r \cdot \sin ((ϕ + β - γ ne))

Next Step Substitute values of Variables

∴

F ns = 647.55N \cdot \sin ((11.406° + 52.43° - 20°))

Next Step Convert Units

∴

F ns = 647.55N \cdot \sin ((0.1991rad + 0.9151rad - 0.3491rad))

Next Step Prepare to Evaluate

∴

F ns = 647.55 \cdot \sin ((0.1991 + 0.9151 - 0.3491))

Next Step Evaluate

∴

F ns = 448.490884648176N

LAST Step Rounding Answer

∴

F ns = 448.4909N

Normal Force on Shear Plane of Tool Formula Elements

Variables

Functions

Normal Force on Shear Plane

The Normal Force on Shear Plane is the force acting normal to the shear plane.

Symbol: F_ns

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Normal Force on Shear Plane

Resultant Cutting Force

The Resultant Cutting Force is the total force in the direction of cutting, the same direction as the cutting speed.

Symbol: F_r

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Resultant Cutting Force

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.

Formulas to find Shear Angle

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.

Formulas to find Mean Friction Angle on Tool Face

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: γ_ne

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Working Normal Rake

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.

Syntax: sin(Angle)

Other formulas in Forces and Friction category

Go Rate of Energy Consumption during Machining

P m = V cut \cdot F c

Go Cutting Speed using Rate of Energy Consumption during Machining

V cut = \frac{P m}{F c}

Go Specific cutting energy in machining

p s = \frac{P m}{Z w}

Go Rate of Energy Consumption during Machining given Specific Cutting Energy

P m = p s \cdot Z w

How to Evaluate Normal Force on Shear Plane of Tool?

Normal Force on Shear Plane of Tool evaluator uses Normal Force on Shear Plane = Resultant Cutting Force*sin((Shear Angle+Mean Friction Angle on Tool Face-Working Normal Rake)) to evaluate the Normal Force on Shear Plane, Normal force on shear plane of tool formula is used to find the normal force acting on the shear plane of the tool. Normal Force on Shear Plane is denoted by F_ns symbol.

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

FAQs on Normal Force on Shear Plane of Tool

What is the formula to find Normal Force on Shear Plane of Tool?

The formula of Normal Force on Shear Plane of Tool is expressed as Normal Force on Shear Plane = Resultant Cutting Force*sin((Shear Angle+Mean Friction Angle on Tool Face-Working Normal Rake)). Here is an example- 448.4909 = 647.55*sin((0.199072254482436+0.915076126820455-0.3490658503988)).

How to calculate Normal Force on Shear Plane of Tool?

With Resultant Cutting Force (F_r), Shear Angle (ϕ), Mean Friction Angle on Tool Face (β) & Working Normal Rake (γ_ne) we can find Normal Force on Shear Plane of Tool using the formula - Normal Force on Shear Plane = Resultant Cutting Force*sin((Shear Angle+Mean Friction Angle on Tool Face-Working Normal Rake)). This formula also uses Sine (sin) function(s).

Can the Normal Force on Shear Plane of Tool be negative?

No, the Normal Force on Shear Plane of Tool, measured in Force cannot be negative.

Which unit is used to measure Normal Force on Shear Plane of Tool?

Normal Force on Shear Plane of Tool is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Normal Force on Shear Plane of Tool can be measured.

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Normal Force on Shear Plane of Tool Formula

Normal Force on Shear Plane of Tool Example

Normal Force on Shear Plane of Tool Solution

Normal Force on Shear Plane of Tool Formula Elements

Other formulas in Forces and Friction category

How to Evaluate Normal Force on Shear Plane of Tool?

FAQs on Normal Force on Shear Plane of Tool

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