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Cutting Force given Shear Force and Thrust Force Formula

GoCutting Force for Frictional Force along Tool Rake Face and Thrust Force Formula

GoCutting Force given Thrust Force and Normal Rake Angle Formula

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Force Exerted During Cutting is the force on workpiece in the direction of cutting, the same direction as the cutting speed. Check FAQs

F c = \frac{F s + (F T \cdot \sin (Φ))}{\cos (Φ)}

F_c - Force Exerted During Cutting?F_s - Force Along Shear Force?F_T - Thrust force in Machining?Φ - Shear Angle?

Cutting Force given Shear Force and Thrust Force Example

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

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

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

11.3351 = \frac{8.16 + (5 \cdot \sin (25))}{\cos (25)}

11.3351N = \frac{8.16N + (5N \cdot \sin (25°))}{\cos (25°)}

11.3351 = \frac{8.16 + (5 \cdot \sin (25))}{\cos (25)}

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Cutting Force given Shear Force and Thrust Force Solution

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

FIRST Step Consider the formula

F c = \frac{F s + (F T \cdot \sin (Φ))}{\cos (Φ)}

Next Step Substitute values of Variables

∴

F c = \frac{8.16N + (5N \cdot \sin (25°))}{\cos (25°)}

Next Step Convert Units

∴

F c = \frac{8.16N + (5N \cdot \sin (0.4363rad))}{\cos (0.4363rad)}

Next Step Prepare to Evaluate

∴

F c = \frac{8.16 + (5 \cdot \sin (0.4363))}{\cos (0.4363)}

Next Step Evaluate

∴

F c = 11.3351021095081N

LAST Step Rounding Answer

∴

F c = 11.3351N

Cutting Force given Shear Force and Thrust Force Formula Elements

Variables

Functions

Force Exerted During Cutting

Force Exerted During Cutting is the force on workpiece 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 Exerted During Cutting

Force Along Shear Force

Force along shear force can be referred as the force which is along with the imaginary shear plane.

Symbol: F_s

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Force Along Shear Force

Thrust force in Machining

Thrust force in machining is the force acting perpendicular to job piece.

Symbol: F_T

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Thrust force in Machining

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

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 Exerted During Cutting

Go Cutting Force for Frictional Force along Tool Rake Face and Thrust Force

F c = \frac{F - (F T \cdot (\cos (α o)))}{\sin (α o)}

Go Cutting Force given Thrust Force and Normal Rake Angle

F c = \frac{F N + F T \cdot \sin (α o)}{\cos (α o)}

Go Cutting force for given resultant force in merchant circle, friction angle and normal rake angle

F c = R \cdot \cos (β - α)

Go Cutting force for given force along shear force, shear, friction and normal rake angles

F c = F s \cdot \frac{\cos (β - α)}{\cos (Φ + β - α)}

How to Evaluate Cutting Force given Shear Force and Thrust Force?

Cutting Force given Shear Force and Thrust Force evaluator uses Force Exerted During Cutting = (Force Along Shear Force+(Thrust force in Machining*sin(Shear Angle)))/(cos(Shear Angle)) to evaluate the Force Exerted During Cutting, The Cutting Force given Shear Force and Thrust Force formula is the cutting force in the direction of the cutting velocity. Force Exerted During Cutting is denoted by F_c symbol.

How to evaluate Cutting Force given Shear Force and Thrust Force using this online evaluator? To use this online evaluator for Cutting Force given Shear Force and Thrust Force, enter Force Along Shear Force (F_s), Thrust force in Machining (F_T) & Shear Angle (Φ) and hit the calculate button.

FAQs on Cutting Force given Shear Force and Thrust Force

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

The formula of Cutting Force given Shear Force and Thrust Force is expressed as Force Exerted During Cutting = (Force Along Shear Force+(Thrust force in Machining*sin(Shear Angle)))/(cos(Shear Angle)). Here is an example- 11.3351 = (8.16+(5*sin(0.4363323129985)))/(cos(0.4363323129985)).

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

With Force Along Shear Force (F_s), Thrust force in Machining (F_T) & Shear Angle (Φ) we can find Cutting Force given Shear Force and Thrust Force using the formula - Force Exerted During Cutting = (Force Along Shear Force+(Thrust force in Machining*sin(Shear Angle)))/(cos(Shear Angle)). This formula also uses Sine (sin), Cosine (cos) function(s).

What are the other ways to Calculate Force Exerted During Cutting?

Here are the different ways to Calculate Force Exerted During Cutting-

Force Exerted During Cutting=(Frictional Force in Machining-(Thrust force in Machining*(cos(Orthogonal Rake Angle))))/(sin(Orthogonal Rake Angle))
Force Exerted During Cutting=(Force Normal to Shear Force+Thrust force in Machining*sin(Orthogonal Rake Angle))/cos(Orthogonal Rake Angle)
Force Exerted During Cutting=Resultant Force*cos(Friction Angle-Rake Angle)

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

No, the Cutting Force given Shear Force and Thrust Force, measured in Force cannot be negative.

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

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

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: Value
: Unit

Cutting Force given Shear Force and Thrust Force Formula

​GoCutting Force for Frictional Force along Tool Rake Face and Thrust Force Formula

​GoCutting Force given Thrust Force and Normal Rake Angle Formula

Cutting Force given Shear Force and Thrust Force Example

Cutting Force given Shear Force and Thrust Force Solution

Cutting Force given Shear Force and Thrust Force Formula Elements

Other Formulas to find Force Exerted During Cutting

How to Evaluate Cutting Force given Shear Force and Thrust Force?

FAQs on Cutting Force given Shear Force and Thrust Force

Variable Name

GoCutting Force for Frictional Force along Tool Rake Face and Thrust Force Formula

GoCutting Force given Thrust Force and Normal Rake Angle Formula