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Un-deformed Chip Thickness using Average Temperature Rise of Chip from Secondary Deformation Formula

GoUndeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone Formula

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

a c = \frac{P f}{C \cdot ρ wp \cdot V cut \cdot θ f \cdot d cut}

a_c - Undeformed Chip Thickness?P_f - Rate of Heat Generation in Secondary Shear Zone?C - Specific Heat Capacity of Workpiece?ρ_wp - Density of Work Piece?V_cut - Cutting Speed?θ_f - Average Temp Rise of Chip in Secondary Shear Zone?d_cut - Depth of Cut?

Un-deformed Chip Thickness using Average Temperature Rise of Chip from Secondary Deformation Example

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Here is how the Un-deformed Chip Thickness using Average Temperature Rise of Chip from Secondary Deformation equation looks like with Values.

Here is how the Un-deformed Chip Thickness using Average Temperature Rise of Chip from Secondary Deformation equation looks like with Units.

Here is how the Un-deformed Chip Thickness using Average Temperature Rise of Chip from Secondary Deformation equation looks like.

0.2501 = \frac{400}{502 \cdot 7200 \cdot 2 \cdot 88.5 \cdot 2.5}

0.2501mm = \frac{400W}{502J/(kg*K) \cdot 7200kg/m³ \cdot 2m/s \cdot 88.5°C \cdot 2.5mm}

0.2501 = \frac{400}{502 \cdot 7200 \cdot 2 \cdot 88.5 \cdot 2.5}

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Un-deformed Chip Thickness using Average Temperature Rise of Chip from Secondary Deformation Solution

Follow our step by step solution on how to calculate Un-deformed Chip Thickness using Average Temperature Rise of Chip from Secondary Deformation?

FIRST Step Consider the formula

a c = \frac{P f}{C \cdot ρ wp \cdot V cut \cdot θ f \cdot d cut}

Next Step Substitute values of Variables

∴

a c = \frac{400W}{502J/(kg*K) \cdot 7200kg/m³ \cdot 2m/s \cdot 88.5°C \cdot 2.5mm}

Next Step Convert Units

∴

a c = \frac{400W}{502J/(kg*K) \cdot 7200kg/m³ \cdot 2m/s \cdot 88.5K \cdot 0.0025m}

Next Step Prepare to Evaluate

∴

a c = \frac{400}{502 \cdot 7200 \cdot 2 \cdot 88.5 \cdot 0.0025}

Next Step Evaluate

∴

a c = 0.000250098163529185m

Next Step Convert to Output's Unit

∴

a c = 0.250098163529185mm

LAST Step Rounding Answer

∴

a c = 0.2501mm

Un-deformed Chip Thickness using Average Temperature Rise of Chip from Secondary Deformation Formula Elements

Variables

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

Rate of Heat Generation in Secondary Shear Zone

The Rate of Heat Generation in Secondary Shear Zone is the rate of heat generation in the area surrounding the chip tool contact region.

Symbol: P_f

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Rate of Heat Generation in Secondary Shear Zone

Specific Heat Capacity of Workpiece

The Specific Heat Capacity of Workpiece is the amount of heat per unit mass required to raise the temperature by one degree Celsius.

Symbol: C

Measurement: Specific Heat CapacityUnit: J/(kg*K)

Note: Value should be greater than 0.

Formulas to find Specific Heat Capacity of Workpiece

Density of Work Piece

Density of Work Piece is the mass per unit volume ratio of the material of workpiece.

Symbol: ρ_wp

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Work Piece

Cutting Speed

Cutting Speed is defined as the speed at which the work moves with respect to the tool (usually measured in feet per minute).

Symbol: V_cut

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Cutting Speed

Average Temp Rise of Chip in Secondary Shear Zone

The Average Temp Rise of Chip in Secondary Shear Zone is defined as the amount of temperature rise in the secondary shear zone.

Symbol: θ_f

Measurement: Temperature DifferenceUnit: °C

Note: Value should be greater than 0.

Formulas to find Average Temp Rise of Chip in Secondary Shear Zone

Depth of Cut

Depth of Cut is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining. It is usually given in the third perpendicular direction.

Symbol: d_cut

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of Cut

Other Formulas to find Undeformed Chip Thickness

Go Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone

a c = \frac{(1 - Γ) \cdot P s}{ρ wp \cdot C \cdot V cut \cdot θ avg \cdot d cut}

Other formulas in Temperature Rise category

Go Average Temperature Rise of Material under Primary Deformation Zone

θ avg = \frac{(1 - Γ) \cdot P s}{ρ wp \cdot C \cdot V cut \cdot a c \cdot d cut}

Go Density of Material using Average Temperature Rise of material under Primary Shear Zone

ρ wp = \frac{(1 - Γ) \cdot P s}{θ avg \cdot C \cdot V cut \cdot a c \cdot d cut}

How to Evaluate Un-deformed Chip Thickness using Average Temperature Rise of Chip from Secondary Deformation?

Un-deformed Chip Thickness using Average Temperature Rise of Chip from Secondary Deformation evaluator uses Undeformed Chip Thickness = Rate of Heat Generation in Secondary Shear Zone/(Specific Heat Capacity of Workpiece*Density of Work Piece*Cutting Speed*Average Temp Rise of Chip in Secondary Shear Zone*Depth of Cut) to evaluate the Undeformed Chip Thickness, The Un-deformed chip thickness using Average Temperature rise of chip from secondary deformation is defined as the distance between two consecutive cut surfaces. Undeformed Chip Thickness is denoted by a_c symbol.

How to evaluate Un-deformed Chip Thickness using Average Temperature Rise of Chip from Secondary Deformation using this online evaluator? To use this online evaluator for Un-deformed Chip Thickness using Average Temperature Rise of Chip from Secondary Deformation, enter Rate of Heat Generation in Secondary Shear Zone (P_f), Specific Heat Capacity of Workpiece (C), Density of Work Piece (ρ_wp), Cutting Speed (V_cut), Average Temp Rise of Chip in Secondary Shear Zone (θ_f) & Depth of Cut (d_cut) and hit the calculate button.

FAQs on Un-deformed Chip Thickness using Average Temperature Rise of Chip from Secondary Deformation

What is the formula to find Un-deformed Chip Thickness using Average Temperature Rise of Chip from Secondary Deformation?

The formula of Un-deformed Chip Thickness using Average Temperature Rise of Chip from Secondary Deformation is expressed as Undeformed Chip Thickness = Rate of Heat Generation in Secondary Shear Zone/(Specific Heat Capacity of Workpiece*Density of Work Piece*Cutting Speed*Average Temp Rise of Chip in Secondary Shear Zone*Depth of Cut). Here is an example- 250 = 400/(502*7200*2*88.5*0.0025).

How to calculate Un-deformed Chip Thickness using Average Temperature Rise of Chip from Secondary Deformation?

With Rate of Heat Generation in Secondary Shear Zone (P_f), Specific Heat Capacity of Workpiece (C), Density of Work Piece (ρ_wp), Cutting Speed (V_cut), Average Temp Rise of Chip in Secondary Shear Zone (θ_f) & Depth of Cut (d_cut) we can find Un-deformed Chip Thickness using Average Temperature Rise of Chip from Secondary Deformation using the formula - Undeformed Chip Thickness = Rate of Heat Generation in Secondary Shear Zone/(Specific Heat Capacity of Workpiece*Density of Work Piece*Cutting Speed*Average Temp Rise of Chip in Secondary Shear Zone*Depth of Cut).

What are the other ways to Calculate Undeformed Chip Thickness?

Here are the different ways to Calculate Undeformed Chip Thickness-

Undeformed Chip Thickness=((1-Fraction of Heat Conducted into The Workpiece)*Rate of Heat Generation in Primary Shear Zone)/(Density of Work Piece*Specific Heat Capacity of Workpiece*Cutting Speed*Average Temperature Rise*Depth of Cut)

Can the Un-deformed Chip Thickness using Average Temperature Rise of Chip from Secondary Deformation be negative?

No, the Un-deformed Chip Thickness using Average Temperature Rise of Chip from Secondary Deformation, measured in Length cannot be negative.

Which unit is used to measure Un-deformed Chip Thickness using Average Temperature Rise of Chip from Secondary Deformation?

Un-deformed Chip Thickness using Average Temperature Rise of Chip from Secondary Deformation is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Un-deformed Chip Thickness using Average Temperature Rise of Chip from Secondary Deformation can be measured.

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Un-deformed Chip Thickness using Average Temperature Rise of Chip from Secondary Deformation Formula

​GoUndeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone Formula

Un-deformed Chip Thickness using Average Temperature Rise of Chip from Secondary Deformation Example

Un-deformed Chip Thickness using Average Temperature Rise of Chip from Secondary Deformation Solution

Un-deformed Chip Thickness using Average Temperature Rise of Chip from Secondary Deformation Formula Elements

Other Formulas to find Undeformed Chip Thickness

Other formulas in Temperature Rise category

How to Evaluate Un-deformed Chip Thickness using Average Temperature Rise of Chip from Secondary Deformation?

FAQs on Un-deformed Chip Thickness using Average Temperature Rise of Chip from Secondary Deformation

Variable Name

GoUndeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone Formula