Cutting Force given Specific Cutting Energy in Machining Calculator

✖Specific Cutting Energy in Machining is the energy consumed to remove a unit volume of material, which is calculated as the ratio of cutting energy E to material removal volume V.ⓘ Specific Cutting Energy in Machining [p_s]			+10% -10%
✖The Cross-sectional Area of Uncut Chip is the area enclosed within the outer surface of the workpiece and the line of cut followed by the single-point cutting edge. It is calculated for one pass.ⓘ Cross-sectional Area of Uncut Chip [A_c]			+10% -10%

✖Cutting Force is the force in the direction of cutting, the same direction as the cutting speed.ⓘ Cutting Force given Specific Cutting Energy in Machining [F_c]

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Formula

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Cutting Force given Specific Cutting Energy in Machining

Formula

`"F"_{"c"} = "p"_{"s"}*"A"_{"c"}`

Example

`"900N"="2000MJ/m³"*"0.45mm²"`

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Cutting Force given Specific Cutting Energy in Machining Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cutting Force = Specific Cutting Energy in Machining*Cross-sectional Area of Uncut Chip
F_c = p_s*A_c
This formula uses 3 Variables

Variables Used

Cutting Force - (Measured in Newton) - Cutting Force is the force in the direction of cutting, the same direction as the cutting speed.
Specific Cutting Energy in Machining - (Measured in Joule per Cubic Meter) - Specific Cutting Energy in Machining is the energy consumed to remove a unit volume of material, which is calculated as the ratio of cutting energy E to material removal volume V.
Cross-sectional Area of Uncut Chip - (Measured in Square Meter) - The Cross-sectional Area of Uncut Chip is the area enclosed within the outer surface of the workpiece and the line of cut followed by the single-point cutting edge. It is calculated for one pass.

STEP 1: Convert Input(s) to Base Unit

Specific Cutting Energy in Machining: 2000 Megajoule per Cubic Meter --> 2000000000 Joule per Cubic Meter (Check conversion here)
Cross-sectional Area of Uncut Chip: 0.45 Square Millimeter --> 4.5E-07 Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_c = p_s*A_c --> 2000000000*4.5E-07

Evaluating ... ...

F_c = 900

STEP 3: Convert Result to Output's Unit

900 Newton --> No Conversion Required

FINAL ANSWER

900 Newton <-- Cutting Force

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Metal Machining Dynamics » Cutting Force and Surface Roughness » Cutting Force given Specific Cutting Energy in Machining

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

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Osmania University (OU), Hyderabad

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< 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

Cutting Force given Specific Cutting Energy in Machining Formula

Cutting Force = Specific Cutting Energy in Machining*Cross-sectional Area of Uncut Chip
F_c = p_s*A_c

What is Cutting Force?

Cutting force is the resistance of the material against the intrusion of the cutting tool. The force directions and amplitudes differ in different cutting processes such as turning, milling, drilling, etc. performed in manufacturing machines.

How to Calculate Cutting Force given Specific Cutting Energy in Machining?

Cutting Force given Specific Cutting Energy in Machining calculator uses Cutting Force = Specific Cutting Energy in Machining*Cross-sectional Area of Uncut Chip to calculate the Cutting Force, Cutting Force given Specific Cutting Energy in machining is the force in the direction of cutting, the same direction as the cutting speed. Cutting Force is denoted by F_c symbol.

How to calculate Cutting Force given Specific Cutting Energy in Machining using this online calculator? To use this online calculator for Cutting Force given Specific Cutting Energy in Machining, enter Specific Cutting Energy in Machining (p_s) & Cross-sectional Area of Uncut Chip (A_c) and hit the calculate button. Here is how the Cutting Force given Specific Cutting Energy in Machining calculation can be explained with given input values -> 900 = 2000000000*4.5E-07.

FAQ

What is Cutting Force given Specific Cutting Energy in Machining?

Cutting Force given Specific Cutting Energy in machining is the force in the direction of cutting, the same direction as the cutting speed and is represented as F_c = p_s*A_c or Cutting Force = Specific Cutting Energy in Machining*Cross-sectional Area of Uncut Chip. Specific Cutting Energy in Machining is the energy consumed to remove a unit volume of material, which is calculated as the ratio of cutting energy E to material removal volume V & The Cross-sectional Area of Uncut Chip is the area enclosed within the outer surface of the workpiece and the line of cut followed by the single-point cutting edge. It is calculated for one pass.

How to calculate Cutting Force given Specific Cutting Energy in Machining?

Cutting Force given Specific Cutting Energy in machining is the force in the direction of cutting, the same direction as the cutting speed is calculated using Cutting Force = Specific Cutting Energy in Machining*Cross-sectional Area of Uncut Chip. To calculate Cutting Force given Specific Cutting Energy in Machining, you need Specific Cutting Energy in Machining (p_s) & Cross-sectional Area of Uncut Chip (A_c). With our tool, you need to enter the respective value for Specific Cutting Energy in Machining & Cross-sectional Area of Uncut Chip and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Cutting Force?

In this formula, Cutting Force uses Specific Cutting Energy in Machining & Cross-sectional Area of Uncut Chip. We can use 1 other way(s) to calculate the same, which is/are as follows -

Cutting Force = Rate of Energy Consumption during Machining/Cutting Speed

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