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Length of Shear Plane of Chip Formula

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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. Check FAQs

l s = \frac{a c}{\sin (ϕ)}

l_s - Length of Shear Plane?a_c - Undeformed Chip Thickness?ϕ - Shear Angle?

Length of Shear Plane of Chip Example

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Here is how the Length of Shear Plane of Chip equation looks like with Values.

Here is how the Length of Shear Plane of Chip equation looks like with Units.

Here is how the Length of Shear Plane of Chip equation looks like.

1.0966 = \frac{0.25}{\sin (0.23)}

1.0966mm = \frac{0.25mm}{\sin (0.23rad)}

1.0966 = \frac{0.25}{\sin (0.23)}

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Length of Shear Plane of Chip Solution

Follow our step by step solution on how to calculate Length of Shear Plane of Chip?

FIRST Step Consider the formula

l s = \frac{a c}{\sin (ϕ)}

Next Step Substitute values of Variables

∴

l s = \frac{0.25mm}{\sin (0.23rad)}

Next Step Convert Units

∴

l s = \frac{0.0002m}{\sin (0.23rad)}

Next Step Prepare to Evaluate

∴

l s = \frac{0.0002}{\sin (0.23)}

Next Step Evaluate

∴

l s = 0.00109659933191358m

Next Step Convert to Output's Unit

∴

l s = 1.09659933191358mm

LAST Step Rounding Answer

∴

l s = 1.0966mm

Length of Shear Plane of Chip Formula Elements

Variables

Functions

Length of Shear Plane

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.

Symbol: l_s

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Shear Plane

Undeformed Chip Thickness

Undeformed Chip Thickness in milling is defined as the distance between two consecutive cut surfaces.

Symbol: a_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Undeformed Chip Thickness

Shear Angle

Shear Angle is the inclination of the shear plane with the horizontal axis at machining point.

Symbol: ϕ

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Shear Angle

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.

Syntax: sin(Angle)

Other formulas in Chip Control category

Go Metal Removal Rate given Specific Cutting Energy

Z w = \frac{P m}{p s}

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

A c = \frac{F c}{p s}

Go Undeformed Chip Thickness using Length of Shear Plane of Chip

a c = l s \cdot \sin (ϕ)

Go Cutting Ratio

r c = \frac{a c}{t 1}

How to Evaluate Length of Shear Plane of Chip?

Length of Shear Plane of Chip evaluator uses Length of Shear Plane = Undeformed Chip Thickness/sin(Shear Angle) to evaluate 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 evaluate Length of Shear Plane of Chip using this online evaluator? To use this online evaluator for Length of Shear Plane of Chip, enter Undeformed Chip Thickness (a_c) & Shear Angle (ϕ) and hit the calculate button.

FAQs on Length of Shear Plane of Chip

What is the formula to find Length of Shear Plane of Chip?

The formula of Length of Shear Plane of Chip is expressed as Length of Shear Plane = Undeformed Chip Thickness/sin(Shear Angle). Here is an example- -272.64269 = 0.00025/sin(0.23).

How to calculate Length of Shear Plane of Chip?

With Undeformed Chip Thickness (a_c) & Shear Angle (ϕ) we can find Length of Shear Plane of Chip using the formula - Length of Shear Plane = Undeformed Chip Thickness/sin(Shear Angle). This formula also uses Sine (sin) function(s).

Can the Length of Shear Plane of Chip be negative?

No, the Length of Shear Plane of Chip, measured in Length cannot be negative.

Which unit is used to measure Length of Shear Plane of Chip?

Length of Shear Plane of Chip is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Length of Shear Plane of Chip can be measured.

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Length of Shear Plane of Chip Formula

Length of Shear Plane of Chip Example

Length of Shear Plane of Chip Solution

Length of Shear Plane of Chip Formula Elements

Other formulas in Chip Control category

How to Evaluate Length of Shear Plane of Chip?

FAQs on Length of Shear Plane of Chip

Variable Name