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Force along Shear Force given Cutting Force and Thrust Force Formula

GoForce along shear force for given force normal to shear force, shear, friction and normal rake angle 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 = f c \cdot \cos (φ shr) - f a \cdot \sin (φ shr)

F_shear - Force Parallel to Shear Plane in Metal Cutting?f_c - Force During Cutting?φ_shr - Shear Angle in Metal Cutting?f_a - Axial Thrust on Job?

Force along Shear Force given Cutting Force and Thrust Force Example

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Here is how the Force along Shear Force given Cutting Force and Thrust Force equation looks like with Values.

Here is how the Force along Shear Force given Cutting Force and Thrust Force equation looks like with Units.

Here is how the Force along Shear Force given Cutting Force and Thrust Force equation looks like.

7.2426 = 12.9803 \cdot \cos (43) - 3.3 \cdot \sin (43)

7.2426N = 12.9803N \cdot \cos (43°) - 3.3N \cdot \sin (43°)

7.2426 = 12.9803 \cdot \cos (43) - 3.3 \cdot \sin (43)

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Force along Shear Force given Cutting Force and Thrust Force Solution

Follow our step by step solution on how to calculate Force along Shear Force given Cutting Force and Thrust Force?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

F shear = 12.9803N \cdot \cos (43°) - 3.3N \cdot \sin (43°)

Next Step Convert Units

∴

F shear = 12.9803N \cdot \cos (0.7505rad) - 3.3N \cdot \sin (0.7505rad)

Next Step Prepare to Evaluate

∴

F shear = 12.9803 \cdot \cos (0.7505) - 3.3 \cdot \sin (0.7505)

Next Step Evaluate

∴

F shear = 7.24259586492266N

LAST Step Rounding Answer

∴

F shear = 7.2426N

Force along Shear Force given Cutting Force and Thrust Force 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

Force During Cutting

Force During Cutting is the force in the direction of cutting, the same direction as the cutting speed.

Symbol: f_c

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force During Cutting

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

Axial Thrust on Job

The axial thrust on job is the resultant force of all the axial forces (F) acting on axially on job.

Symbol: f_a

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Axial Thrust on Job

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)

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 to find Force Parallel to Shear Plane in Metal Cutting

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

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

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 given Cutting Force and Thrust Force?

Force along Shear Force given Cutting Force and Thrust Force evaluator uses 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) to evaluate the Force Parallel to Shear Plane 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 Parallel to Shear Plane in Metal Cutting is denoted by F_shear symbol.

How to evaluate Force along Shear Force given Cutting Force and Thrust Force using this online evaluator? To use this online evaluator 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.

FAQs on Force along Shear Force given Cutting Force and Thrust Force

What is the formula to find Force along Shear Force given Cutting Force and Thrust Force?

The formula of Force along Shear Force given Cutting Force and Thrust Force is expressed as 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). Here is an example- 7.242596 = 12.9803*cos(0.750491578357421)-3.3*sin(0.750491578357421).

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

With Force During Cutting (f_c), Shear Angle in Metal Cutting (φ_shr) & Axial Thrust on Job (f_a) we can find Force along Shear Force given Cutting Force and Thrust Force using the formula - 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). This formula also uses Sine, Cosine 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=(Normal Force)/(tan(Shear Angle in Metal Cutting+Friction Angle in Metal Cutting-Normal Rake Angle in Metal Cutting))

Can the Force along Shear Force given Cutting Force and Thrust Force be negative?

Yes, the Force along Shear Force given Cutting Force and Thrust Force, measured in Force can be negative.

Which unit is used to measure Force along Shear Force given Cutting Force and Thrust Force?

Force along Shear Force given Cutting Force and Thrust Force 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 given Cutting Force and Thrust Force can be measured.

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Force along Shear Force given Cutting Force and Thrust Force Formula

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

Force along Shear Force given Cutting Force and Thrust Force Example

Force along Shear Force given Cutting Force and Thrust Force Solution

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

FAQs on Force along Shear Force given Cutting Force and Thrust Force

Variable Name

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