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

GoCutting Force given Shear Force and Thrust Force Formula

GoCutting Force for Frictional Force along Tool Rake Face and Thrust Force 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 = F s \cdot \frac{\cos (β - α)}{\cos (Φ + β - α)}

F_c - Force Exerted During Cutting?F_s - Force Along Shear Force?β - Friction Angle?α - Rake Angle?Φ - Shear Angle?

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

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

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

Here is how the Cutting force for given force along shear force, shear, friction and normal rake angles equation looks like.

11.3403 = 8.16 \cdot \frac{\cos (25.79 - 1.95)}{\cos (25 + 25.79 - 1.95)}

11.3403N = 8.16N \cdot \frac{\cos (25.79° - 1.95°)}{\cos (25° + 25.79° - 1.95°)}

11.3403 = 8.16 \cdot \frac{\cos (25.79 - 1.95)}{\cos (25 + 25.79 - 1.95)}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

F c = 8.16N \cdot \frac{\cos (25.79° - 1.95°)}{\cos (25° + 25.79° - 1.95°)}

Next Step Convert Units

∴

F c = 8.16N \cdot \frac{\cos (0.4501rad - 0.034rad)}{\cos (0.4363rad + 0.4501rad - 0.034rad)}

Next Step Prepare to Evaluate

∴

F c = 8.16 \cdot \frac{\cos (0.4501 - 0.034)}{\cos (0.4363 + 0.4501 - 0.034)}

Next Step Evaluate

∴

F c = 11.3402890501377N

LAST Step Rounding Answer

∴

F c = 11.3403N

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

Friction Angle

The Friction angle is termed as the force between the tool and chip, which resists the flow of the chip along the rake face of the tool is friction force and having a friction angle β.

Symbol: β

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Friction Angle

Rake Angle

Rake Angle is the angle of orientation of tool’s rake surface from the reference plane and measured on machine longitudinal plane.

Symbol: α

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Rake Angle

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

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 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)

How to Evaluate Cutting force for given force along shear force, shear, friction and normal rake angles?

Cutting force for given force along shear force, shear, friction and normal rake angles evaluator uses Force Exerted During Cutting = Force Along Shear Force*cos(Friction Angle-Rake Angle)/cos(Shear Angle+Friction Angle-Rake Angle) to evaluate the Force Exerted During Cutting, The Cutting force for given force along shear force, shear, friction and normal rake angles formula is defined as the product of force along the shear plane to the ratio of the cosine of difference of friction and rake angles to the cosine of summation of shear angle to difference of friction and rake angles. Force Exerted During Cutting is denoted by F_c symbol.

How to evaluate Cutting force for given force along shear force, shear, friction and normal rake angles using this online evaluator? To use this online evaluator for Cutting force for given force along shear force, shear, friction and normal rake angles, enter Force Along Shear Force (F_s), Friction Angle (β), Rake Angle (α) & Shear Angle (Φ) and hit the calculate button.

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

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

The formula of Cutting force for given force along shear force, shear, friction and normal rake angles is expressed as Force Exerted During Cutting = Force Along Shear Force*cos(Friction Angle-Rake Angle)/cos(Shear Angle+Friction Angle-Rake Angle). Here is an example- 14.4247 = 8.16*cos(0.450120414089253-0.034033920413883)/cos(0.4363323129985+0.450120414089253-0.034033920413883).

How to calculate Cutting force for given force along shear force, shear, friction and normal rake angles?

With Force Along Shear Force (F_s), Friction Angle (β), Rake Angle (α) & Shear Angle (Φ) we can find Cutting force for given force along shear force, shear, friction and normal rake angles using the formula - Force Exerted During Cutting = Force Along Shear Force*cos(Friction Angle-Rake Angle)/cos(Shear Angle+Friction Angle-Rake Angle). This formula also uses 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=(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)

Can the Cutting force for given force along shear force, shear, friction and normal rake angles be negative?

No, the Cutting force for given force along shear force, shear, friction and normal rake angles, measured in Force cannot be negative.

Which unit is used to measure Cutting force for given force along shear force, shear, friction and normal rake angles?

Cutting force for given force along shear force, shear, friction and normal rake angles 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 given force along shear force, shear, friction and normal rake angles can be measured.

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

​GoCutting Force given Shear Force and Thrust Force Formula

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

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

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

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

Other Formulas to find Force Exerted During Cutting

How to Evaluate Cutting force for given force along shear force, shear, friction and normal rake angles?

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

Variable Name

GoCutting Force given Shear Force and Thrust Force Formula

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