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Thickness of Stock at given Point on Entry Side Formula

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Thickness at Entry is defined as the thickness of stock at any point between entry and neutral point. Check FAQs

h e = \frac{P en \cdot h in}{S e \cdot \exp (μ rp \cdot (H in - H x))}

h_e - Thickness at Entry?P_en - Pressure Acting at Entry?h_in - Initial Thickness?S_e - Mean Yield Shear Stress?μ_rp - Coefficient of Friction?H_in - H Factor at Entry Point on Workpiece?H_x - Factor H at a Point on Workpiece?

Thickness of Stock at given Point on Entry Side Example

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Here is how the Thickness of Stock at given Point on Entry Side equation looks like with Values.

Here is how the Thickness of Stock at given Point on Entry Side equation looks like with Units.

Here is how the Thickness of Stock at given Point on Entry Side equation looks like.

0.011 = \frac{9.9E-6 \cdot 3.5}{4359.69 \cdot \exp (0.5 \cdot (3.35 - 4))}

0.011mm = \frac{9.9E-6N/mm² \cdot 3.5mm}{4359.69Pa \cdot \exp (0.5 \cdot (3.35 - 4))}

0.011 = \frac{9.9E-6 \cdot 3.5}{4359.69 \cdot \exp (0.5 \cdot (3.35 - 4))}

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Thickness of Stock at given Point on Entry Side Solution

Follow our step by step solution on how to calculate Thickness of Stock at given Point on Entry Side?

FIRST Step Consider the formula

h e = \frac{P en \cdot h in}{S e \cdot \exp (μ rp \cdot (H in - H x))}

Next Step Substitute values of Variables

∴

h e = \frac{9.9E-6N/mm² \cdot 3.5mm}{4359.69Pa \cdot \exp (0.5 \cdot (3.35 - 4))}

Next Step Convert Units

∴

h e = \frac{9.9Pa \cdot 0.0035m}{4359.69Pa \cdot \exp (0.5 \cdot (3.35 - 4))}

Next Step Prepare to Evaluate

∴

h e = \frac{9.9 \cdot 0.0035}{4359.69 \cdot \exp (0.5 \cdot (3.35 - 4))}

Next Step Evaluate

∴

h e = 1.10000164881524E-05m

Next Step Convert to Output's Unit

∴

h e = 0.0110000164881524mm

LAST Step Rounding Answer

∴

h e = 0.011mm

Thickness of Stock at given Point on Entry Side Formula Elements

Variables

Functions

Thickness at Entry

Thickness at Entry is defined as the thickness of stock at any point between entry and neutral point.

Symbol: h_e

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness at Entry

Pressure Acting at Entry

Pressure Acting at Entry is the force per unit area of Rollers on the sheet at the entry region.

Symbol: P_en

Measurement: PressureUnit: N/mm²

Note: Value can be positive or negative.

Formulas to find Pressure Acting at Entry

Initial Thickness

Initial Thickness is the thickness of sheet before the rolling operation.

Symbol: h_in

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Initial Thickness

Mean Yield Shear Stress

Mean Yield Shear Stress represents the average shear stress at which the material begins to yield or undergo plastic deformation.

Symbol: S_e

Measurement: StressUnit: Pa

Note: Value should be greater than 0.

Formulas to find Mean Yield Shear Stress

Coefficient of Friction

Coefficient of Friction(μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.

Symbol: μ_rp

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Coefficient of Friction

H Factor at Entry Point on Workpiece

H Factor at Entry Point on Workpiece is used in rolling calculations to account for the interaction between the material, the rollers, and the deformation process.

Symbol: H_in

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find H Factor at Entry Point on Workpiece

Factor H at a Point on Workpiece

Factor H at a Point on Workpiece is used in rolling calculations to account for the interaction between the material, the rollers, and the deformation process.

Symbol: H_x

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Factor H at a Point on Workpiece

exp

n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.

Syntax: exp(Number)

Other formulas in Analysis at Entry Region category

Go Pressure on Rolls given H (Entry Side)

P en = S e \cdot \frac{h e}{h in} \cdot \exp (μ rp \cdot (H in - H x))

Go Pressure Acting on Rolls from Entry Side

P en = S e \cdot \frac{h e}{h in} \cdot \exp (μ rp \cdot (2 \cdot \sqrt{\frac{R roller}{h f}} \cdot a \tan (Θ r \cdot \sqrt{\frac{R roller}{h f}}) - 2 \cdot \sqrt{\frac{R roller}{h f}} \cdot a \tan (α bite \cdot \sqrt{\frac{R roller}{h f}})))

How to Evaluate Thickness of Stock at given Point on Entry Side?

Thickness of Stock at given Point on Entry Side evaluator uses Thickness at Entry = (Pressure Acting at Entry*Initial Thickness)/(Mean Yield Shear Stress*exp(Coefficient of Friction*(H Factor at Entry Point on Workpiece-Factor H at a Point on Workpiece))) to evaluate the Thickness at Entry, The Thickness of stock at given point on entry side formula is defined as the thickness of stock or the work piece at the beginning of the rolling process between entry and neutral point. Thickness at Entry is denoted by h_e symbol.

How to evaluate Thickness of Stock at given Point on Entry Side using this online evaluator? To use this online evaluator for Thickness of Stock at given Point on Entry Side, enter Pressure Acting at Entry (P_en), Initial Thickness (h_in), Mean Yield Shear Stress (S_e), Coefficient of Friction (μ_rp), H Factor at Entry Point on Workpiece (H_in) & Factor H at a Point on Workpiece (H_x) and hit the calculate button.

FAQs on Thickness of Stock at given Point on Entry Side

What is the formula to find Thickness of Stock at given Point on Entry Side?

The formula of Thickness of Stock at given Point on Entry Side is expressed as Thickness at Entry = (Pressure Acting at Entry*Initial Thickness)/(Mean Yield Shear Stress*exp(Coefficient of Friction*(H Factor at Entry Point on Workpiece-Factor H at a Point on Workpiece))). Here is an example- 8.132617 = (9.9*0.0035)/(4359.69*exp(0.5*(3.35-4))).

How to calculate Thickness of Stock at given Point on Entry Side?

With Pressure Acting at Entry (P_en), Initial Thickness (h_in), Mean Yield Shear Stress (S_e), Coefficient of Friction (μ_rp), H Factor at Entry Point on Workpiece (H_in) & Factor H at a Point on Workpiece (H_x) we can find Thickness of Stock at given Point on Entry Side using the formula - Thickness at Entry = (Pressure Acting at Entry*Initial Thickness)/(Mean Yield Shear Stress*exp(Coefficient of Friction*(H Factor at Entry Point on Workpiece-Factor H at a Point on Workpiece))). This formula also uses Exponential Growth Function function(s).

Can the Thickness of Stock at given Point on Entry Side be negative?

No, the Thickness of Stock at given Point on Entry Side, measured in Length cannot be negative.

Which unit is used to measure Thickness of Stock at given Point on Entry Side?

Thickness of Stock at given Point on Entry Side is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Thickness of Stock at given Point on Entry Side can be measured.

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Thickness of Stock at given Point on Entry Side Formula

Thickness of Stock at given Point on Entry Side Example

Thickness of Stock at given Point on Entry Side Solution

Thickness of Stock at given Point on Entry Side Formula Elements

Other formulas in Analysis at Entry Region category

How to Evaluate Thickness of Stock at given Point on Entry Side?

FAQs on Thickness of Stock at given Point on Entry Side

Variable Name