Resultant Cutting Force using Force required to remove Chip Solution

STEP 0: Pre-Calculation Summary
Formula Used
Resultant Cutting Force = Force Required to Remove Chip+Plowing Force
Fr = F'r+Fp
This formula uses 3 Variables
Variables Used
Resultant Cutting Force - (Measured in Newton) - The Resultant Cutting Force is the total force in the direction of cutting, the same direction as the cutting speed.
Force Required to Remove Chip - (Measured in Newton) - The Force Required to Remove Chip is the amount of force required to remove the chip from the surface of the metal.
Plowing Force - (Measured in Newton) - The Plowing Force is the force required to overcome this deformation that does not contribute to the chip removal and hence is commonly named plowing force.
STEP 1: Convert Input(s) to Base Unit
Force Required to Remove Chip: 500 Newton --> 500 Newton No Conversion Required
Plowing Force: 147.55 Newton --> 147.55 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fr = F'r+Fp --> 500+147.55
Evaluating ... ...
Fr = 647.55
STEP 3: Convert Result to Output's Unit
647.55 Newton --> No Conversion Required
FINAL ANSWER
647.55 Newton <-- Resultant Cutting Force
(Calculation completed in 00.004 seconds)

Credits

Created by Parul Keshav
National Institute of Technology (NIT), Srinagar
Parul Keshav has created this Calculator and 300+ more calculators!
Verified by Kethavath Srinath
Osmania University (OU), Hyderabad
Kethavath Srinath has verified this Calculator and 1200+ more calculators!

21 Cutting Force and Surface Roughness Calculators

Frictional Force required to continuously shear junction between surfaces
Go Force of Friction = Real Area of Contact*((Proportion of Area of Metallic Contact*Shear Strength of Softer Metal)+((1-Proportion of Area of Metallic Contact)*Shear Strength of Softer Lubricant Layer))
Shear Strength of Softer Lubricant layer given Frictional force
Go Shear Strength of Softer Lubricant Layer = ((Force of Friction/Real Area of Contact)-(Proportion of Area of Metallic Contact*Shear Strength of Softer Metal))/(1-Proportion of Area of Metallic Contact)
Area of contact given Frictional Force
Go Real Area of Contact = Force of Friction/((Proportion of Area of Metallic Contact*Shear Strength of Softer Metal)+((1-Proportion of Area of Metallic Contact)*Shear Strength of Softer Lubricant Layer))
Proportion of Area in which metallic contact occurs given Frictional Force
Go Proportion of Area of Metallic Contact = ((Force of Friction/Real Area of Contact)-Shear Strength of Softer Lubricant Layer)/(Shear Strength of Softer Metal-Shear Strength of Softer Lubricant Layer)
Shear Strength of Softer Metal given Frictional force
Go Shear Strength of Softer Metal = ((Force of Friction/Real Area of Contact)-(1-Proportion of Area of Metallic Contact)*Shear Strength of Softer Lubricant Layer)/Proportion of Area of Metallic Contact
Working major cutting edge Angle given Roughness value
Go Working Major Cutting-Edge Angle = (acot((Feed/(4*Roughness Value))-cot(Working Minor Cutting Edge)))
Working minor cutting edge Angle given Roughness value
Go Working Minor Cutting Edge = (acot((Feed/(4*Roughness Value))-cot(Working Major Cutting-Edge Angle)))
Roughness Value
Go Roughness Value = Feed/(4*(cot(Working Major Cutting-Edge Angle)+cot(Working Minor Cutting Edge)))
Feed given Roughness value
Go Feed = 4*(cot(Working Major Cutting-Edge Angle)+cot(Working Minor Cutting Edge))*Roughness Value
Rotational Frequency of Cutter given Roughness Value
Go Rotational Frequency of Cutter = sqrt(0.0642/(Roughness Value*Diameter of Cutter))*Feed Speed
Feed speed given Roughness value
Go Feed Speed = sqrt(Roughness Value*Diameter of Cutter/0.0642)*Rotational Frequency of Cutter
Diameter of Cutter given Roughness Value
Go Diameter of Cutter = (0.0642*(Feed Speed)^2)/(Roughness Value*(Rotational Frequency of Cutter)^2)
Roughness value given feed speed
Go Roughness Value = (0.0642*(Feed Speed)^2)/(Diameter of Cutter*(Rotational Frequency of Cutter)^2)
Cutting Force given Specific Cutting Energy in Machining
Go Cutting Force = Specific Cutting Energy in Machining*Cross-sectional Area of Uncut Chip
Cutting Force given Rate of Energy Consumption during Machining
Go Cutting Force = Rate of Energy Consumption during Machining/Cutting Speed
Resultant Cutting Force using Force required to remove Chip
Go Resultant Cutting Force = Force Required to Remove Chip+Plowing Force
Force required to remove Chip and acting on Tool Face
Go Force Required to Remove Chip = Resultant Cutting Force-Plowing Force
Feed given Roughness Value and corner radius
Go Feed = (Roughness Value*Corner Radius of Tool/0.0321)^(1/2)
Roughness value given corner radius
Go Roughness Value = 0.0321*(Feed)^2/Corner Radius of Tool
Corner Radius given Roughness value
Go Corner Radius of Tool = 0.0321*(Feed)^2/Roughness Value
Roughness value of tool
Go Roughness Value = 0.0321*(Feed)^2/Corner Radius of Tool

Resultant Cutting Force using Force required to remove Chip Formula

Resultant Cutting Force = Force Required to Remove Chip+Plowing Force
Fr = F'r+Fp

How do you calculate cutting force?

Determine the area of the material. Multiply the length times the width to get the area of the side of the material in square inches. Using the example, 4 inches times 2 inches equals an area of 8 square inches. Divide the loading force stretching the material by the side area to obtain the pressure applied in psi.

How to Calculate Resultant Cutting Force using Force required to remove Chip?

Resultant Cutting Force using Force required to remove Chip calculator uses Resultant Cutting Force = Force Required to Remove Chip+Plowing Force to calculate the Resultant Cutting Force, Resultant cutting Force using Force required to remove Chip: while cutting, the tool applies a certain force to the layer being removed, and thus to the workpiece. This force, known as the resultant cutting force. Resultant Cutting Force is denoted by Fr symbol.

How to calculate Resultant Cutting Force using Force required to remove Chip using this online calculator? To use this online calculator for Resultant Cutting Force using Force required to remove Chip, enter Force Required to Remove Chip (F'r) & Plowing Force (Fp) and hit the calculate button. Here is how the Resultant Cutting Force using Force required to remove Chip calculation can be explained with given input values -> 647.55 = 500+147.55.

FAQ

What is Resultant Cutting Force using Force required to remove Chip?
Resultant cutting Force using Force required to remove Chip: while cutting, the tool applies a certain force to the layer being removed, and thus to the workpiece. This force, known as the resultant cutting force and is represented as Fr = F'r+Fp or Resultant Cutting Force = Force Required to Remove Chip+Plowing Force. The Force Required to Remove Chip is the amount of force required to remove the chip from the surface of the metal & The Plowing Force is the force required to overcome this deformation that does not contribute to the chip removal and hence is commonly named plowing force.
How to calculate Resultant Cutting Force using Force required to remove Chip?
Resultant cutting Force using Force required to remove Chip: while cutting, the tool applies a certain force to the layer being removed, and thus to the workpiece. This force, known as the resultant cutting force is calculated using Resultant Cutting Force = Force Required to Remove Chip+Plowing Force. To calculate Resultant Cutting Force using Force required to remove Chip, you need Force Required to Remove Chip (F'r) & Plowing Force (Fp). With our tool, you need to enter the respective value for Force Required to Remove Chip & Plowing Force and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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