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Uncut chip thickness for given width of cut, shear angle and area of shear plane Formula

GoUncut chip thickness given cutting force, shear stress, cut, friction, normal rake and shear angles Formula

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Uncut chip thickness in machining can be referred as the thickness of the undeformed chip. Check FAQs

t 1 = \frac{A s \cdot \sin (ϕ)}{w c}

t₁ - Uncut Chip Thickness in Machining?A_s - Area of Shear Plane?ϕ - Shearing Angle?w_c - Cutting Width?

Uncut chip thickness for given width of cut, shear angle and area of shear plane Example

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Here is how the Uncut chip thickness for given width of cut, shear angle and area of shear plane equation looks like with Values.

Here is how the Uncut chip thickness for given width of cut, shear angle and area of shear plane equation looks like with Units.

Here is how the Uncut chip thickness for given width of cut, shear angle and area of shear plane equation looks like.

6.94 = \frac{733.764 \cdot \sin (5.257)}{9.6873}

6.94mm = \frac{733.764mm² \cdot \sin (5.257°)}{9.6873mm}

6.94 = \frac{733.764 \cdot \sin (5.257)}{9.6873}

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Uncut chip thickness for given width of cut, shear angle and area of shear plane Solution

Follow our step by step solution on how to calculate Uncut chip thickness for given width of cut, shear angle and area of shear plane?

FIRST Step Consider the formula

t 1 = \frac{A s \cdot \sin (ϕ)}{w c}

Next Step Substitute values of Variables

∴

t 1 = \frac{733.764mm² \cdot \sin (5.257°)}{9.6873mm}

Next Step Convert Units

∴

t 1 = \frac{0.0007m² \cdot \sin (0.0918rad)}{0.0097m}

Next Step Prepare to Evaluate

∴

t 1 = \frac{0.0007 \cdot \sin (0.0918)}{0.0097}

Next Step Evaluate

∴

t 1 = 0.00694000013703637m

Next Step Convert to Output's Unit

∴

t 1 = 6.94000013703637mm

LAST Step Rounding Answer

∴

t 1 = 6.94mm

Uncut chip thickness for given width of cut, shear angle and area of shear plane Formula Elements

Variables

Functions

Uncut Chip Thickness in Machining

Uncut chip thickness in machining can be referred as the thickness of the undeformed chip.

Symbol: t₁

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Uncut Chip Thickness in Machining

Area of Shear Plane

Area of shear plane is defined as the area of that plane along which the chip is formed by shear deformation as the tool is forced into the material.

Symbol: A_s

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Shear Plane

Shearing Angle

Shearing angle between is the inclination of the shear plane with the horizontal axis at machining point.

Symbol: ϕ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Shearing Angle

Cutting Width

Cutting Width can be defined as the width the tool cuts into the workpiece.

Symbol: w_c

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Cutting Width

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 to find Uncut Chip Thickness in Machining

Go Uncut chip thickness given cutting force, shear stress, cut, friction, normal rake and shear angles

t 1 = F cut \cdot \frac{\cos (ϕ + β - α)}{w c \cdot τ shear \cdot \cos (β - α)}

Other formulas in Geometry and Dimensions category

Go Area of shear plane for given shear angle, width of cut and uncut chip thickness

A s = \frac{t 1 \cdot w c}{\sin (ϕ)}

Go Shear angle for given area of shear plane, width of cut and uncut chip thickness

ϕ = a \sin (w c \cdot \frac{t 1}{A s})

Go Width of cut for given shear angle, uncut chip thickness and area of shear plane

w c = \frac{A s \cdot \sin (ϕ)}{t 1}

Go Side cutting edge angle for given width of cut

ψ = a \cos (\frac{d cut}{w c})

How to Evaluate Uncut chip thickness for given width of cut, shear angle and area of shear plane?

Uncut chip thickness for given width of cut, shear angle and area of shear plane evaluator uses Uncut Chip Thickness in Machining = (Area of Shear Plane*sin(Shearing Angle))/Cutting Width to evaluate the Uncut Chip Thickness in Machining, The Uncut chip thickness for given width of cut, shear angle and area of shear plane is the depth of cut given during orthogonal cutting. Uncut Chip Thickness in Machining is denoted by t₁ symbol.

How to evaluate Uncut chip thickness for given width of cut, shear angle and area of shear plane using this online evaluator? To use this online evaluator for Uncut chip thickness for given width of cut, shear angle and area of shear plane, enter Area of Shear Plane (A_s), Shearing Angle (ϕ) & Cutting Width (w_c) and hit the calculate button.

FAQs on Uncut chip thickness for given width of cut, shear angle and area of shear plane

What is the formula to find Uncut chip thickness for given width of cut, shear angle and area of shear plane?

The formula of Uncut chip thickness for given width of cut, shear angle and area of shear plane is expressed as Uncut Chip Thickness in Machining = (Area of Shear Plane*sin(Shearing Angle))/Cutting Width. Here is an example- 7248.503 = (0.000733764*sin(0.0917519587773246))/0.0096873.

How to calculate Uncut chip thickness for given width of cut, shear angle and area of shear plane?

With Area of Shear Plane (A_s), Shearing Angle (ϕ) & Cutting Width (w_c) we can find Uncut chip thickness for given width of cut, shear angle and area of shear plane using the formula - Uncut Chip Thickness in Machining = (Area of Shear Plane*sin(Shearing Angle))/Cutting Width. This formula also uses Sine function(s).

What are the other ways to Calculate Uncut Chip Thickness in Machining?

Here are the different ways to Calculate Uncut Chip Thickness in Machining-

Uncut Chip Thickness in Machining=Cutting Force in Metal Cutting*(cos(Shearing Angle+Cutting Friction Angle-Rake Angle of Cutting Tool))/(Cutting Width*Average Shear Stress Produced on Shear Plane*cos(Cutting Friction Angle-Rake Angle of Cutting Tool))

Can the Uncut chip thickness for given width of cut, shear angle and area of shear plane be negative?

No, the Uncut chip thickness for given width of cut, shear angle and area of shear plane, measured in Length cannot be negative.

Which unit is used to measure Uncut chip thickness for given width of cut, shear angle and area of shear plane?

Uncut chip thickness for given width of cut, shear angle and area of shear plane is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Uncut chip thickness for given width of cut, shear angle and area of shear plane can be measured.

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Uncut chip thickness for given width of cut, shear angle and area of shear plane Formula

​GoUncut chip thickness given cutting force, shear stress, cut, friction, normal rake and shear angles Formula

Uncut chip thickness for given width of cut, shear angle and area of shear plane Example

Uncut chip thickness for given width of cut, shear angle and area of shear plane Solution

Uncut chip thickness for given width of cut, shear angle and area of shear plane Formula Elements

Other Formulas to find Uncut Chip Thickness in Machining

Other formulas in Geometry and Dimensions category

How to Evaluate Uncut chip thickness for given width of cut, shear angle and area of shear plane?

FAQs on Uncut chip thickness for given width of cut, shear angle and area of shear plane

Variable Name

GoUncut chip thickness given cutting force, shear stress, cut, friction, normal rake and shear angles Formula