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Width of cut for given side cutting edge angle Formula

GoWidth of cut for given shear angle, uncut chip thickness and area of shear plane Formula

GoWidth of cut given cutting force, shear stress, uncut chip, friction, normal rake and shear angles Formula

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

w c = \frac{d cut}{\cos (ψ)}

w_c - Cutting Width?d_cut - Depth of Cut Provided by Tool?ψ - Side Cutting Edge Angle for Metal Cutting?

Width of cut for given side cutting edge angle Example

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Here is how the Width of cut for given side cutting edge angle equation looks like with Values.

Here is how the Width of cut for given side cutting edge angle equation looks like with Units.

Here is how the Width of cut for given side cutting edge angle equation looks like.

9.6873 = \frac{9.0732}{\cos (20.51)}

9.6873mm = \frac{9.0732mm}{\cos (20.51°)}

9.6873 = \frac{9.0732}{\cos (20.51)}

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Width of cut for given side cutting edge angle Solution

Follow our step by step solution on how to calculate Width of cut for given side cutting edge angle?

FIRST Step Consider the formula

w c = \frac{d cut}{\cos (ψ)}

Next Step Substitute values of Variables

∴

w c = \frac{9.0732mm}{\cos (20.51°)}

Next Step Convert Units

∴

w c = \frac{0.0091m}{\cos (0.358rad)}

Next Step Prepare to Evaluate

∴

w c = \frac{0.0091}{\cos (0.358)}

Next Step Evaluate

∴

w c = 0.00968726557098674m

Next Step Convert to Output's Unit

∴

w c = 9.68726557098674mm

LAST Step Rounding Answer

∴

w c = 9.6873mm

Width of cut for given side cutting edge angle Formula Elements

Variables

Functions

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

Depth of Cut Provided by Tool

Depth of cut provided by tool provides necessary depth to workpiece that is required to remove material during machining process.

Symbol: d_cut

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Depth of Cut Provided by Tool

Side Cutting Edge Angle for Metal Cutting

Side cutting edge angle for metal cutting can be defined as the angle between the side cutting edge and the side of the tool shank.

Symbol: ψ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Side Cutting Edge Angle for Metal Cutting

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Cutting Width

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 Width of cut given cutting force, shear stress, uncut chip, friction, normal rake and shear angles

w c = F cut \cdot \frac{\cos (ϕ + β - α)}{τ shear \cdot t 1 \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 Uncut chip thickness for given width of cut, shear angle and area of shear plane

t 1 = \frac{A s \cdot \sin (ϕ)}{w c}

Go Side cutting edge angle for given width of cut

ψ = a \cos (\frac{d cut}{w c})

How to Evaluate Width of cut for given side cutting edge angle?

Width of cut for given side cutting edge angle evaluator uses Cutting Width = Depth of Cut Provided by Tool/cos(Side Cutting Edge Angle for Metal Cutting) to evaluate the Cutting Width, The Width of cut for given side cutting edge angle formula is defined as the ratio of depth of cut to cosine of side cutting edge angle. Cutting Width is denoted by w_c symbol.

How to evaluate Width of cut for given side cutting edge angle using this online evaluator? To use this online evaluator for Width of cut for given side cutting edge angle, enter Depth of Cut Provided by Tool (d_cut) & Side Cutting Edge Angle for Metal Cutting (ψ) and hit the calculate button.

FAQs on Width of cut for given side cutting edge angle

What is the formula to find Width of cut for given side cutting edge angle?

The formula of Width of cut for given side cutting edge angle is expressed as Cutting Width = Depth of Cut Provided by Tool/cos(Side Cutting Edge Angle for Metal Cutting). Here is an example- 9275.901 = 0.0090732/cos(0.35796702958397).

How to calculate Width of cut for given side cutting edge angle?

With Depth of Cut Provided by Tool (d_cut) & Side Cutting Edge Angle for Metal Cutting (ψ) we can find Width of cut for given side cutting edge angle using the formula - Cutting Width = Depth of Cut Provided by Tool/cos(Side Cutting Edge Angle for Metal Cutting). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Cutting Width?

Here are the different ways to Calculate Cutting Width-

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

Can the Width of cut for given side cutting edge angle be negative?

Yes, the Width of cut for given side cutting edge angle, measured in Length can be negative.

Which unit is used to measure Width of cut for given side cutting edge angle?

Width of cut for given side cutting edge angle is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Width of cut for given side cutting edge angle can be measured.

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