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

GoUn-deformed Chip Thickness using Average Temperature Rise of Chip from Secondary Deformation 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{(1 - Γ) \cdot P s}{ρ wp \cdot C \cdot V cut \cdot θ avg \cdot d cut}

a_c - Undeformed Chip Thickness?Γ - Fraction of Heat Conducted into The Workpiece?P_s - Rate of Heat Generation in Primary Shear Zone?ρ_wp - Density of Work Piece?C - Specific Heat Capacity of Workpiece?V_cut - Cutting Speed?θ_avg - Average Temperature Rise?d_cut - Depth of Cut?

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

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Here is how the Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone equation looks like with Values.

Here is how the Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone equation looks like with Units.

Here is how the Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone equation looks like.

0.25 = \frac{(1 - 0.1) \cdot 1380}{7200 \cdot 502 \cdot 2 \cdot 274.9 \cdot 2.5}

0.25mm = \frac{(1 - 0.1) \cdot 1380W}{7200kg/m³ \cdot 502J/(kg*K) \cdot 2m/s \cdot 274.9°C \cdot 2.5mm}

0.25 = \frac{(1 - 0.1) \cdot 1380}{7200 \cdot 502 \cdot 2 \cdot 274.9 \cdot 2.5}

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

Follow our step by step solution on how to calculate Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

a c = \frac{(1 - 0.1) \cdot 1380W}{7200kg/m³ \cdot 502J/(kg*K) \cdot 2m/s \cdot 274.9°C \cdot 2.5mm}

Next Step Convert Units

∴

a c = \frac{(1 - 0.1) \cdot 1380W}{7200kg/m³ \cdot 502J/(kg*K) \cdot 2m/s \cdot 274.9K \cdot 0.0025m}

Next Step Prepare to Evaluate

∴

a c = \frac{(1 - 0.1) \cdot 1380}{7200 \cdot 502 \cdot 2 \cdot 274.9 \cdot 0.0025}

Next Step Evaluate

∴

a c = 0.000250000362319366m

Next Step Convert to Output's Unit

∴

a c = 0.250000362319366mm

LAST Step Rounding Answer

∴

a c = 0.25mm

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

Fraction of Heat Conducted into The Workpiece

Fraction of Heat Conducted into The Workpiece defined as a portion of specimen which is conducted to the workpiece, so, this portion will not cause a temperature increase in the chip.

Symbol: Γ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Fraction of Heat Conducted into The Workpiece

Rate of Heat Generation in Primary Shear Zone

The Rate of Heat Generation in Primary Shear Zone is the heat transfer rate in the narrow zone surrounding the shear plane in machining.

Symbol: P_s

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Rate of Heat Generation in Primary Shear Zone

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

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

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 Temperature Rise

Average Temperature Rise is defined as the actual amount of increase in the temperature.

Symbol: θ_avg

Measurement: Temperature DifferenceUnit: °C

Note: Value should be greater than 0.

Formulas to find Average Temperature Rise

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

a c = \frac{P f}{C \cdot ρ wp \cdot V cut \cdot θ f \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 Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone?

Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone evaluator uses 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) to evaluate the Undeformed Chip Thickness, The Undeformed Chip Thickness given Average Temperature rise of material under Primary Shear Zone is defined as the distance between two consecutive cut surfaces. Undeformed Chip Thickness is denoted by a_c symbol.

How to evaluate Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone using this online evaluator? To use this online evaluator for Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone, enter Fraction of Heat Conducted into The Workpiece (Γ), Rate of Heat Generation in Primary Shear Zone (P_s), Density of Work Piece (ρ_wp), Specific Heat Capacity of Workpiece (C), Cutting Speed (V_cut), Average Temperature Rise (θ_avg) & Depth of Cut (d_cut) and hit the calculate button.

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

What is the formula to find Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone?

The formula of Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone is expressed as 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). Here is an example- 249.9022 = ((1-0.1)*1380)/(7200*502*2*274.9*0.0025).

How to calculate Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone?

With Fraction of Heat Conducted into The Workpiece (Γ), Rate of Heat Generation in Primary Shear Zone (P_s), Density of Work Piece (ρ_wp), Specific Heat Capacity of Workpiece (C), Cutting Speed (V_cut), Average Temperature Rise (θ_avg) & Depth of Cut (d_cut) we can find Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone using the formula - 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).

What are the other ways to Calculate Undeformed Chip Thickness?

Here are the different ways to Calculate Undeformed Chip Thickness-

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)

Can the Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone be negative?

No, the Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone, measured in Length cannot be negative.

Which unit is used to measure Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone?

Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone can be measured.

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

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

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

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

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

Other Formulas to find Undeformed Chip Thickness

Other formulas in Temperature Rise category

How to Evaluate Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone?

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

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