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

GoCutting Force given Shear Force 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 - (F T \cdot (\cos (α o)))}{\sin (α o)}

F_c - Force Exerted During Cutting?F - Frictional Force in Machining?F_T - Thrust force in Machining?α_o - Orthogonal Rake Angle?

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

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Here is how the Cutting Force for Frictional Force along Tool Rake Face and Thrust Force equation looks like with Values.

Here is how the Cutting Force for Frictional Force along Tool Rake Face and Thrust Force equation looks like with Units.

Here is how the Cutting Force for Frictional Force along Tool Rake Face and Thrust Force equation looks like.

11.3397 = \frac{10 - (5 \cdot (\cos (30)))}{\sin (30)}

11.3397N = \frac{10N - (5N \cdot (\cos (30°)))}{\sin (30°)}

11.3397 = \frac{10 - (5 \cdot (\cos (30)))}{\sin (30)}

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

Follow our step by step solution on how to calculate Cutting Force for Frictional Force along Tool Rake Face and Thrust Force?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

F c = \frac{10N - (5N \cdot (\cos (30°)))}{\sin (30°)}

Next Step Convert Units

∴

F c = \frac{10N - (5N \cdot (\cos (0.5236rad)))}{\sin (0.5236rad)}

Next Step Prepare to Evaluate

∴

F c = \frac{10 - (5 \cdot (\cos (0.5236)))}{\sin (0.5236)}

Next Step Evaluate

∴

F c = 11.3397459621556N

LAST Step Rounding Answer

∴

F c = 11.3397N

Cutting Force for Frictional Force along Tool Rake Face 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

Frictional Force in Machining

Frictional Force in machining refers to the force generated by two surfaces that contacts and slide against each other.

Symbol: F

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Frictional Force in Machining

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

Orthogonal Rake Angle

The orthogonal Rake Angle is the angle of orientation of the tool's rake surface from the reference plane and measured on a normal plane in orthogonal cutting.

Symbol: α_o

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Orthogonal Rake 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 given Shear Force and Thrust Force

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

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 for Frictional Force along Tool Rake Face and Thrust Force?

Cutting Force for Frictional Force along Tool Rake Face and Thrust Force evaluator uses Force Exerted During Cutting = (Frictional Force in Machining-(Thrust force in Machining*(cos(Orthogonal Rake Angle))))/(sin(Orthogonal Rake Angle)) to evaluate the Force Exerted During Cutting, The Cutting Force for Frictional Force along Tool Rake Face and Thrust Force formula is defined using these relations. Please refer to the Merchant theory. Force Exerted During Cutting is denoted by F_c symbol.

How to evaluate Cutting Force for Frictional Force along Tool Rake Face and Thrust Force using this online evaluator? To use this online evaluator for Cutting Force for Frictional Force along Tool Rake Face and Thrust Force, enter Frictional Force in Machining (F), Thrust force in Machining (F_T) & Orthogonal Rake Angle (α_o) and hit the calculate button.

FAQs on Cutting Force for Frictional Force along Tool Rake Face and Thrust Force

What is the formula to find Cutting Force for Frictional Force along Tool Rake Face and Thrust Force?

The formula of Cutting Force for Frictional Force along Tool Rake Face and Thrust Force is expressed as Force Exerted During Cutting = (Frictional Force in Machining-(Thrust force in Machining*(cos(Orthogonal Rake Angle))))/(sin(Orthogonal Rake Angle)). Here is an example- -1.650635 = (10-(5*(cos(0.5235987755982))))/(sin(0.5235987755982)).

How to calculate Cutting Force for Frictional Force along Tool Rake Face and Thrust Force?

With Frictional Force in Machining (F), Thrust force in Machining (F_T) & Orthogonal Rake Angle (α_o) we can find Cutting Force for Frictional Force along Tool Rake Face and Thrust Force using the formula - Force Exerted During Cutting = (Frictional Force in Machining-(Thrust force in Machining*(cos(Orthogonal Rake Angle))))/(sin(Orthogonal Rake 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=(Force Along Shear Force+(Thrust force in Machining*sin(Shear Angle)))/(cos(Shear 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 for Frictional Force along Tool Rake Face and Thrust Force be negative?

No, the Cutting Force for Frictional Force along Tool Rake Face and Thrust Force, measured in Force cannot be negative.

Which unit is used to measure Cutting Force for Frictional Force along Tool Rake Face and Thrust Force?

Cutting Force for Frictional Force along Tool Rake Face 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 for Frictional Force along Tool Rake Face and Thrust Force can be measured.

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: Value
: Unit

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

​GoCutting Force given Shear Force and Thrust Force Formula

​GoCutting Force given Thrust Force and Normal Rake Angle Formula

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

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

Cutting Force for Frictional Force along Tool Rake Face and Thrust Force Formula Elements

Other Formulas to find Force Exerted During Cutting

How to Evaluate Cutting Force for Frictional Force along Tool Rake Face and Thrust Force?

FAQs on Cutting Force for Frictional Force along Tool Rake Face and Thrust Force

Variable Name

GoCutting Force given Shear Force and Thrust Force Formula

GoCutting Force given Thrust Force and Normal Rake Angle Formula