Length of Shear Plane of Chip Calculator

✖Undeformed Chip Thickness in milling is defined as the distance between two consecutive cut surfaces.ⓘ Undeformed Chip Thickness [a_c]			+10% -10%
✖Shear angle is the inclination of the shear plane with the horizontal axis at machining point.ⓘ Shear angle [ϕ]			+10% -10%

✖The Length of Shear Plane of the chip is the thickness of the chip from the point of contact of the tool and the workpiece.ⓘ Length of Shear Plane of Chip [l_s]

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Formula

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Length of Shear Plane of Chip

Formula

`"l"_{"s"} = "a"_{"c"}/sin("ϕ")`

Example

`"1.264159mm"="0.25mm"/sin("11.406°")`

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Length of Shear Plane of Chip Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Shear Plane = Undeformed Chip Thickness/sin(Shear angle)
l_s = a_c/sin(ϕ)
This formula uses 1 Functions, 3 Variables

Functions Used

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., sin(Angle)

Variables Used

Length of Shear Plane - (Measured in Meter) - The Length of Shear Plane of the chip is the thickness of the chip from the point of contact of the tool and the workpiece.
Undeformed Chip Thickness - (Measured in Meter) - Undeformed Chip Thickness in milling is defined as the distance between two consecutive cut surfaces.
Shear angle - (Measured in Radian) - Shear angle is the inclination of the shear plane with the horizontal axis at machining point.

STEP 1: Convert Input(s) to Base Unit

Undeformed Chip Thickness: 0.25 Millimeter --> 0.00025 Meter (Check conversion here)
Shear angle: 11.406 Degree --> 0.199072254482436 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_s = a_c/sin(ϕ) --> 0.00025/sin(0.199072254482436)

Evaluating ... ...

l_s = 0.00126415862046301

STEP 3: Convert Result to Output's Unit

0.00126415862046301 Meter -->1.26415862046301 Millimeter (Check conversion here)

FINAL ANSWER

1.26415862046301 ≈ 1.264159 Millimeter <-- Length of Shear Plane

(Calculation completed in 00.004 seconds)

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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

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< 25 Chip Control Calculators

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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

Length of Shear Plane of Chip Formula

Length of Shear Plane = Undeformed Chip Thickness/sin(Shear angle)
l_s = a_c/sin(ϕ)

What is Undeformed chip thickness?

The undeformed chip thickness in milling is defined as the distance between two consecutive cut surfaces. It varies during cutting and is measured in the direction perpendicular to the preceding cut surface.

How to Calculate Length of Shear Plane of Chip?

Length of Shear Plane of Chip calculator uses Length of Shear Plane = Undeformed Chip Thickness/sin(Shear angle) to calculate the Length of Shear Plane, The length of shear plane of chip is the thickness of the chip from the point of contact of the tool and the workpiece. Length of Shear Plane is denoted by l_s symbol.

How to calculate Length of Shear Plane of Chip using this online calculator? To use this online calculator for Length of Shear Plane of Chip, enter Undeformed Chip Thickness (a_c) & Shear angle (ϕ) and hit the calculate button. Here is how the Length of Shear Plane of Chip calculation can be explained with given input values -> 1264.159 = 0.00025/sin(0.199072254482436).

FAQ

What is Length of Shear Plane of Chip?

The length of shear plane of chip is the thickness of the chip from the point of contact of the tool and the workpiece and is represented as l_s = a_c/sin(ϕ) or Length of Shear Plane = Undeformed Chip Thickness/sin(Shear angle). Undeformed Chip Thickness in milling is defined as the distance between two consecutive cut surfaces & Shear angle is the inclination of the shear plane with the horizontal axis at machining point.

How to calculate Length of Shear Plane of Chip?

The length of shear plane of chip is the thickness of the chip from the point of contact of the tool and the workpiece is calculated using Length of Shear Plane = Undeformed Chip Thickness/sin(Shear angle). To calculate Length of Shear Plane of Chip, you need Undeformed Chip Thickness (a_c) & Shear angle (ϕ). With our tool, you need to enter the respective value for Undeformed Chip Thickness & Shear angle 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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