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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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: 0.23 Radian --> 0.23 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_s = a_c/sin(ϕ) --> 0.00025/sin(0.23)

Evaluating ... ...

l_s = 0.00109659933191358

STEP 3: Convert Result to Output's Unit

0.00109659933191358 Meter -->1.09659933191358 Millimeter (Check conversion here)

FINAL ANSWER

1.09659933191358 ≈ 1.096599 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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< Chip Control Calculators

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Undeformed Chip Thickness using Length of Shear Plane of Chip

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

Length of Shear Plane of Chip

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

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

LaTeX Go Cross Sectional Area of Uncut Chip = Cutting Force/Specific Cutting Energy in Machining

Length of Shear Plane of Chip Formula

LaTeX Go

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 -> -272.64269 = 0.00025/sin(0.23).

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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