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

GoForce along Shear Force given Cutting Force and Thrust Force Formula

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Force Parallel to Shear Plane in Metal Cutting is the force which causes shear deformation to occur in the shear plane. Check FAQs

F shear = \frac{F N}{\tan (φ shr + β fr - α N)}

F_shear - Force Parallel to Shear Plane in Metal Cutting?F_N - Normal Force?φ_shr - Shear Angle in Metal Cutting?β_fr - Friction Angle in Metal Cutting?α_N - Normal Rake Angle in Metal Cutting?

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

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Here is how the Force along shear force for given force normal to shear force, shear, friction and normal rake angle equation looks like with Values.

Here is how the Force along shear force for given force normal to shear force, shear, friction and normal rake angle equation looks like with Units.

Here is how the Force along shear force for given force normal to shear force, shear, friction and normal rake angle equation looks like.

7.2427 = \frac{7.5}{\tan (43 + 11 - 8)}

7.2427N = \frac{7.5N}{\tan (43° + 11° - 8°)}

7.2427 = \frac{7.5}{\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

Follow our step by step solution on how to calculate Force along shear force for given force normal to shear force, shear, friction and normal rake angle?

FIRST Step Consider the formula

F shear = \frac{F N}{\tan (φ shr + β fr - α N)}

Next Step Substitute values of Variables

∴

F shear = \frac{7.5N}{\tan (43° + 11° - 8°)}

Next Step Convert Units

∴

F shear = \frac{7.5N}{\tan (0.7505rad + 0.192rad - 0.1396rad)}

Next Step Prepare to Evaluate

∴

F shear = \frac{7.5}{\tan (0.7505 + 0.192 - 0.1396)}

Next Step Evaluate

∴

F shear = 7.24266581105524N

LAST Step Rounding Answer

∴

F shear = 7.2427N

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

Variables

Functions

Force Parallel to Shear Plane in Metal Cutting

Force Parallel to Shear Plane in Metal Cutting is the force which causes shear deformation to occur in the shear plane.

Symbol: F_shear

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Force Parallel to Shear Plane in Metal Cutting

Normal Force

Normal Force is the force which is deforming force exerted perpendicular to the shear force.

Symbol: F_N

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Normal Force

Shear Angle in Metal Cutting

Shear Angle in Metal Cutting is the inclination of the shear plane with the horizontal axis at machining point.

Symbol: φ_shr

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Shear Angle in Metal Cutting

Friction Angle in Metal Cutting

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.

Symbol: β_fr

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Friction Angle in Metal Cutting

Normal Rake Angle in Metal Cutting

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.

Symbol: α_N

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Normal Rake Angle in Metal Cutting

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.

Syntax: tan(Angle)

Other Formulas to find Force Parallel to Shear Plane in Metal Cutting

Go Force along Shear Force given Cutting Force and Thrust Force

F shear = f c \cdot \cos (φ shr) - f a \cdot \sin (φ shr)

Other formulas in Force Along Shear category

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

F sp = R f \cdot \cos (φ shr + β fr - α rk)

How to Evaluate 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 evaluator uses Force Parallel to Shear Plane in Metal Cutting = (Normal Force)/(tan(Shear Angle in Metal Cutting+Friction Angle in Metal Cutting-Normal Rake Angle in Metal Cutting)) to evaluate the Force Parallel to Shear Plane 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 Parallel to Shear Plane in Metal Cutting is denoted by F_shear symbol.

How to evaluate Force along shear force for given force normal to shear force, shear, friction and normal rake angle using this online evaluator? To use this online evaluator for Force along shear force for given force normal to shear force, shear, friction and normal rake angle, enter Normal Force (F_N), Shear Angle in Metal Cutting (φ_shr), Friction Angle in Metal Cutting (β_fr) & Normal Rake Angle in Metal Cutting (α_N) and hit the calculate button.

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

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

The formula of Force along shear force for given force normal to shear force, shear, friction and normal rake angle is expressed as Force Parallel to Shear Plane in Metal Cutting = (Normal Force)/(tan(Shear Angle in Metal Cutting+Friction Angle in Metal Cutting-Normal Rake Angle in Metal Cutting)). Here is an example- 6.75303 = (7.5)/(tan(0.750491578357421+0.19198621771934-0.13962634015952)).

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

With Normal Force (F_N), Shear Angle in Metal Cutting (φ_shr), Friction Angle in Metal Cutting (β_fr) & Normal Rake Angle in Metal Cutting (α_N) we can find Force along shear force for given force normal to shear force, shear, friction and normal rake angle using the formula - Force Parallel to Shear Plane in Metal Cutting = (Normal Force)/(tan(Shear Angle in Metal Cutting+Friction Angle in Metal Cutting-Normal Rake Angle in Metal Cutting)). This formula also uses Tangent (tan) function(s).

What are the other ways to Calculate Force Parallel to Shear Plane in Metal Cutting?

Here are the different ways to Calculate Force Parallel to Shear Plane in Metal Cutting-

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

Can the Force along shear force for given force normal to shear force, shear, friction and normal rake angle be negative?

Yes, the Force along shear force for given force normal to shear force, shear, friction and normal rake angle, measured in Force can be negative.

Which unit is used to measure 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 usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Force along shear force for given force normal to shear force, shear, friction and normal rake angle can be measured.

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

​GoForce along Shear Force given Cutting Force and Thrust Force Formula

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

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

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

Other Formulas to find Force Parallel to Shear Plane in Metal Cutting

Other formulas in Force Along Shear category

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

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

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GoForce along Shear Force given Cutting Force and Thrust Force Formula