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Depth of Cut given Average Temperature Rise of Material under Primary Shear Zone Formula

GoDepth of Cut using Average Temperature Rise of Chip from Secondary Deformation Formula

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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. Check FAQs

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

d_cut - Depth of Cut?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?a_c - Undeformed Chip Thickness?θ_avg - Average Temperature Rise?

Depth of Cut given Average Temperature Rise of Material under Primary Shear Zone Example

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

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

Here is how the Depth of Cut given Average Temperature Rise of Material under Primary Shear Zone equation looks like.

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

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

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

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Depth of Cut given Average Temperature Rise of Material under Primary Shear Zone Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

d cut = \frac{(1 - 0.1) \cdot 1380W}{7200kg/m³ \cdot 502J/(kg*K) \cdot 2m/s \cdot 0.0002m \cdot 274.9K}

Next Step Prepare to Evaluate

∴

d cut = \frac{(1 - 0.1) \cdot 1380}{7200 \cdot 502 \cdot 2 \cdot 0.0002 \cdot 274.9}

Next Step Evaluate

∴

d cut = 0.00250000362319366m

Next Step Convert to Output's Unit

∴

d cut = 2.50000362319366mm

LAST Step Rounding Answer

∴

d cut = 2.5mm

Depth of Cut given Average Temperature Rise of Material under Primary Shear Zone Formula Elements

Variables

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

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

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

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

Other Formulas to find Depth of Cut

Go Depth of Cut using Average Temperature Rise of Chip from Secondary Deformation

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

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 Depth of Cut given Average Temperature Rise of Material under Primary Shear Zone?

Depth of Cut given Average Temperature Rise of Material under Primary Shear Zone evaluator uses Depth of Cut = ((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*Undeformed Chip Thickness*Average Temperature Rise) to evaluate the Depth of Cut, The Depth of cut given Average Temperature rise of material under Primary Shear Zone is the total amount of metal removed per pass of the cutting tool. Depth of Cut is denoted by d_cut symbol.

How to evaluate Depth of Cut given Average Temperature Rise of Material under Primary Shear Zone using this online evaluator? To use this online evaluator for Depth of Cut 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), Undeformed Chip Thickness (a_c) & Average Temperature Rise (θ_avg) and hit the calculate button.

FAQs on Depth of Cut given Average Temperature Rise of Material under Primary Shear Zone

What is the formula to find Depth of Cut given Average Temperature Rise of Material under Primary Shear Zone?

The formula of Depth of Cut given Average Temperature Rise of Material under Primary Shear Zone is expressed as Depth of Cut = ((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*Undeformed Chip Thickness*Average Temperature Rise). Here is an example- 2499.022 = ((1-0.1)*1380)/(7200*502*2*0.00025*274.9).

How to calculate Depth of Cut 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), Undeformed Chip Thickness (a_c) & Average Temperature Rise (θ_avg) we can find Depth of Cut given Average Temperature Rise of Material under Primary Shear Zone using the formula - Depth of Cut = ((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*Undeformed Chip Thickness*Average Temperature Rise).

What are the other ways to Calculate Depth of Cut?

Here are the different ways to Calculate Depth of Cut-

Depth of Cut=Rate of Heat Generation in Secondary Shear Zone/(Specific Heat Capacity of Workpiece*Density of Work Piece*Cutting Speed*Undeformed Chip Thickness*Average Temp Rise of Chip in Secondary Shear Zone)

Can the Depth of Cut given Average Temperature Rise of Material under Primary Shear Zone be negative?

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

Which unit is used to measure Depth of Cut given Average Temperature Rise of Material under Primary Shear Zone?

Depth of Cut 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 Depth of Cut given Average Temperature Rise of Material under Primary Shear Zone can be measured.

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Depth of Cut given Average Temperature Rise of Material under Primary Shear Zone Formula

​GoDepth of Cut using Average Temperature Rise of Chip from Secondary Deformation Formula

Depth of Cut given Average Temperature Rise of Material under Primary Shear Zone Example

Depth of Cut given Average Temperature Rise of Material under Primary Shear Zone Solution

Depth of Cut given Average Temperature Rise of Material under Primary Shear Zone Formula Elements

Other Formulas to find Depth of Cut

Other formulas in Temperature Rise category

How to Evaluate Depth of Cut given Average Temperature Rise of Material under Primary Shear Zone?

FAQs on Depth of Cut given Average Temperature Rise of Material under Primary Shear Zone

Variable Name

GoDepth of Cut using Average Temperature Rise of Chip from Secondary Deformation Formula