Chip Thickness Calculator

✖Mass of Chip is the actual mass of the chip obtained.ⓘ Mass of Chip [m_c]			+10% -10%
✖The Length of Chip is the actual length of the chip formed.ⓘ Length of Chip [l_c]			+10% -10%
✖The Width of Chip is the actual width of the chip formed.ⓘ Width of Chip [a_w]			+10% -10%
✖The Density of work piece is the mass per unit volume ratio of the material of workpiece.ⓘ Density of work piece [ρ_{work piece}]			+10% -10%

✖Chip Thickness is defined as the actual thickness of the chip after cutting.ⓘ Chip Thickness [a_o]

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Formula

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Chip Thickness

Formula

`"a"_{"o"} = "m"_{"c"}/("l"_{"c"}*"a"_{"w"}*"ρ"_{"work piece"})`

Example

`"0.75mm"="18.54562mg"/("1.26mm"*"2.5mm"*"7850kg/m³")`

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Chip Thickness Solution

STEP 0: Pre-Calculation Summary

Formula Used

Chip Thickness = Mass of Chip/(Length of Chip*Width of Chip*Density of work piece)
a_o = m_c/(l_c*a_w*ρ_{work piece})
This formula uses 5 Variables

Variables Used

Chip Thickness - (Measured in Meter) - Chip Thickness is defined as the actual thickness of the chip after cutting.
Mass of Chip - (Measured in Kilogram) - Mass of Chip is the actual mass of the chip obtained.
Length of Chip - (Measured in Meter) - The Length of Chip is the actual length of the chip formed.
Width of Chip - (Measured in Meter) - The Width of Chip is the actual width of the chip formed.
Density of work piece - (Measured in Kilogram per Cubic Meter) - The Density of work piece is the mass per unit volume ratio of the material of workpiece.

STEP 1: Convert Input(s) to Base Unit

Mass of Chip: 18.54562 Milligram --> 1.854562E-05 Kilogram (Check conversion here)
Length of Chip: 1.26 Millimeter --> 0.00126 Meter (Check conversion here)
Width of Chip: 2.5 Millimeter --> 0.0025 Meter (Check conversion here)
Density of work piece: 7850 Kilogram per Cubic Meter --> 7850 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_o = m_c/(l_c*a_w*ρ_{work piece}) --> 1.854562E-05/(0.00126*0.0025*7850)

Evaluating ... ...

a_o = 0.000749999797795976

STEP 3: Convert Result to Output's Unit

0.000749999797795976 Meter -->0.749999797795976 Millimeter (Check conversion here)

FINAL ANSWER

0.749999797795976 ≈ 0.75 Millimeter <-- Chip Thickness

(Calculation completed in 00.007 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Metal Machining Dynamics » Chip Control » Chip Thickness

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!

< 25 Chip Control Calculators

Chip breaker height given Chip breaker wedge angle

Go Chip Breaker Height = ((Chip-Breaker Distance-Length of Chip Tool Contact)-(Radius of Chip Curvature/cot(Chip Breaker Wedge Angle/(2))))/cot(Chip Breaker Wedge Angle)

Radius of Chip given Chip breaker wedge angle

Go Radius of Chip Curvature = ((Chip-Breaker Distance-Length of Chip Tool Contact)-(Chip Breaker Height*cot(Chip Breaker Wedge Angle)))*cot(Chip Breaker Wedge Angle/(2))

Length of chip tool contact given Chip breaker wedge angle

Go Length of Chip Tool Contact = Chip-Breaker Distance-(Radius of Chip Curvature/cot(Chip Breaker Wedge Angle/(2)))-(Chip Breaker Height*cot(Chip Breaker Wedge Angle))

Chip breaker distance given Chip breaker wedge angle

Go Chip-Breaker Distance = Radius of Chip Curvature/cot(Chip Breaker Wedge Angle/(2))+(Chip Breaker Height*cot(Chip Breaker Wedge Angle))+Length of Chip Tool Contact

Length of chip tool contact given radius of chip curvature

Go Length of Chip Tool Contact = Chip-Breaker Distance-sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2))

Chip breaker distance given radius of chip curvature

Go Chip-Breaker Distance = sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2))+Length of Chip Tool Contact

Chip break distance when material constant is unity

Go Chip-Breaker Distance = sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2))+Chip Thickness

Chip Thickness when material constant is unity

Go Chip Thickness = Chip-Breaker Distance-sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2))

Radius of Chip curvature

Go Radius of Chip Curvature = ((Chip-Breaker Distance-Length of Chip Tool Contact)^2)/(2*Chip Breaker Height)+(Chip Breaker Height/2)

Radius of Chip curvature when material constant is unity

Go Radius of Chip Curvature = ((Chip-Breaker Distance-Chip Thickness)^2)/(2*Chip Breaker Height)+(Chip Breaker Height/2)

Density of Workpiece given Thickness of Chip

Go Density of work piece = Mass of Chip/(Chip Thickness*Length of Chip*Width of Chip)

Length of Chip using Thickness of Chip

Go Length of Chip = Mass of Chip/(Chip Thickness*Width of Chip*Density of work piece)

Width of Chip given Thickness of Chip

Go Width of Chip = Mass of Chip/(Length of Chip*Chip Thickness*Density of work piece)

Chip Thickness

Go Chip Thickness = Mass of Chip/(Length of Chip*Width of Chip*Density of work piece)

Mass of Chip given Thickness of Chip

Go Mass of Chip = Chip Thickness*Length of Chip*Width of Chip*Density of work piece

Metal Removal Rate given Specific Cutting Energy

Go Metal removal rate = Rate of Energy Consumption during Machining/Specific Cutting Energy in Machining

Undeformed Chip Thickness using Length of Shear Plane of Chip

Go Undeformed Chip Thickness = Length of Shear Plane*sin(Shear angle)

Length of Shear Plane of Chip

Go Length of Shear Plane = Undeformed Chip Thickness/sin(Shear angle)

Cross Sectional Area of Uncut chip using Specific Cutting energy in Machining

Go Cross-sectional Area of Uncut Chip = Cutting Force/Specific Cutting Energy in Machining

Chip thickness given length of chip tool contact

Go Chip Thickness = Length of Chip Tool Contact/Material Constant

Undeformed Chip Thickness using Cutting Ratio

Go Undeformed Chip Thickness = Cutting Ratio*Uncut Chip Thickness

Constant for length of chip tool contact

Go Material Constant = Length of Chip Tool Contact/Chip Thickness

Chip Thickness given Cutting Ratio

Go Uncut Chip Thickness = Undeformed Chip Thickness/Cutting Ratio

Length of chip tool contact

Go Length of Chip Tool Contact = Chip Thickness*Material Constant

Cutting Ratio

Go Cutting Ratio = Undeformed Chip Thickness/Uncut Chip Thickness

Chip Thickness Formula

Chip Thickness = Mass of Chip/(Length of Chip*Width of Chip*Density of work piece)
a_o = m_c/(l_c*a_w*ρ_{work piece})

What is minimum chip thickness?

The definition of minimum chip thickness is the minimum undeformed chip thickness below which no chip can be formed stably. Due to this minimum chip thickness effect, the micro-/nano-cutting process is affected by two mechanisms: chip removal (h > hc) and plowing/rubbing (h < hc).

How to Calculate Chip Thickness?

Chip Thickness calculator uses Chip Thickness = Mass of Chip/(Length of Chip*Width of Chip*Density of work piece) to calculate the Chip Thickness, The chip thickness is a commonly used measure of material removal depth by the abrasive grains and is more closely related to the severity of forces on the grains than is the depth of cut. Chip Thickness is denoted by a_o symbol.

How to calculate Chip Thickness using this online calculator? To use this online calculator for Chip Thickness, enter Mass of Chip (m_c), Length of Chip (l_c), Width of Chip (a_w) & Density of work piece (ρ_{work piece}) and hit the calculate button. Here is how the Chip Thickness calculation can be explained with given input values -> 749.9998 = 1.854562E-05/(0.00126*0.0025*7850).

FAQ

What is Chip Thickness?

The chip thickness is a commonly used measure of material removal depth by the abrasive grains and is more closely related to the severity of forces on the grains than is the depth of cut and is represented as a_o = m_c/(l_c*a_w*ρ_{work piece}) or Chip Thickness = Mass of Chip/(Length of Chip*Width of Chip*Density of work piece). Mass of Chip is the actual mass of the chip obtained, The Length of Chip is the actual length of the chip formed, The Width of Chip is the actual width of the chip formed & The Density of work piece is the mass per unit volume ratio of the material of workpiece.

How to calculate Chip Thickness?

The chip thickness is a commonly used measure of material removal depth by the abrasive grains and is more closely related to the severity of forces on the grains than is the depth of cut is calculated using Chip Thickness = Mass of Chip/(Length of Chip*Width of Chip*Density of work piece). To calculate Chip Thickness, you need Mass of Chip (m_c), Length of Chip (l_c), Width of Chip (a_w) & Density of work piece (ρ_{work piece}). With our tool, you need to enter the respective value for Mass of Chip, Length of Chip, Width of Chip & Density of work piece 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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