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Pressure on Rolls given H (Entry Side) Formula

GoPressure Acting on Rolls from Entry Side Formula

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

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

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

Pressure on Rolls given H (Entry Side) Example

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Here is how the Pressure on Rolls given H (Entry Side) equation looks like with Values.

Here is how the Pressure on Rolls given H (Entry Side) equation looks like with Units.

Here is how the Pressure on Rolls given H (Entry Side) equation looks like.

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

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

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

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Pressure on Rolls given H (Entry Side) Solution

Follow our step by step solution on how to calculate Pressure on Rolls given H (Entry Side)?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P en = 4359.69Pa \cdot \frac{0.011mm}{3.5mm} \cdot \exp (0.5 \cdot (3.35 - 4))

Next Step Convert Units

∴

P en = 4359.69Pa \cdot \frac{1.1E-5m}{0.0035m} \cdot \exp (0.5 \cdot (3.35 - 4))

Next Step Prepare to Evaluate

∴

P en = 4359.69 \cdot \frac{1.1E-5}{0.0035} \cdot \exp (0.5 \cdot (3.35 - 4))

Next Step Evaluate

∴

P en = 9.8999851606851Pa

Next Step Convert to Output's Unit

∴

P en = 9.8999851606851E-06N/mm²

LAST Step Rounding Answer

∴

P en = 9.9E-6N/mm²

Pressure on Rolls given H (Entry Side) Formula Elements

Variables

Functions

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

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

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

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

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 to find Pressure Acting at Entry

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}})))

Other formulas in Analysis at Entry Region category

Go Thickness of Stock at given Point on Entry Side

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

Go Mean Yield Shear Stress given Pressure on Entry Side

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

How to Evaluate Pressure on Rolls given H (Entry Side)?

Pressure on Rolls given H (Entry Side) evaluator uses Pressure Acting at Entry = Mean Yield Shear Stress*Thickness at Entry/Initial Thickness*exp(Coefficient of Friction*(H Factor at Entry Point on Workpiece-Factor H at a Point on Workpiece)) to evaluate the Pressure Acting at Entry, Pressure on Rolls given H (Entry Side) is defined as the pressure exerted on the sheet by the roll when factor H is given for the entry side of rolling operation. Pressure Acting at Entry is denoted by P_en symbol.

How to evaluate Pressure on Rolls given H (Entry Side) using this online evaluator? To use this online evaluator for Pressure on Rolls given H (Entry Side), enter Mean Yield Shear Stress (S_e), Thickness at Entry (h_e), Initial Thickness (h_in), 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 Pressure on Rolls given H (Entry Side)

What is the formula to find Pressure on Rolls given H (Entry Side)?

The formula of Pressure on Rolls given H (Entry Side) is expressed as Pressure Acting at Entry = Mean Yield Shear Stress*Thickness at Entry/Initial Thickness*exp(Coefficient of Friction*(H Factor at Entry Point on Workpiece-Factor H at a Point on Workpiece)). Here is an example- 1.3E-11 = 4359.69*1.1E-05/0.0035*exp(0.5*(3.35-4)).

How to calculate Pressure on Rolls given H (Entry Side)?

With Mean Yield Shear Stress (S_e), Thickness at Entry (h_e), Initial Thickness (h_in), 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 Pressure on Rolls given H (Entry Side) using the formula - Pressure Acting at Entry = Mean Yield Shear Stress*Thickness at Entry/Initial Thickness*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).

What are the other ways to Calculate Pressure Acting at Entry?

Here are the different ways to Calculate Pressure Acting at Entry-

Pressure Acting at Entry=Mean Yield Shear Stress*Thickness at Entry/Initial Thickness*exp(Coefficient of Friction*(2*sqrt(Radius of Roller/Final Thickness after Rolling)*atan(Angle made by Point Roll Center and Normal*sqrt(Radius of Roller/Final Thickness after Rolling))-2*sqrt(Radius of Roller/Final Thickness after Rolling)*atan(Angle of Bite*sqrt(Radius of Roller/Final Thickness after Rolling))))

Can the Pressure on Rolls given H (Entry Side) be negative?

Yes, the Pressure on Rolls given H (Entry Side), measured in Pressure can be negative.

Which unit is used to measure Pressure on Rolls given H (Entry Side)?

Pressure on Rolls given H (Entry Side) is usually measured using the Newton per Square Millimeter[N/mm²] for Pressure. Pascal[N/mm²], Kilopascal[N/mm²], Bar[N/mm²] are the few other units in which Pressure on Rolls given H (Entry Side) can be measured.

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Pressure on Rolls given H (Entry Side) Formula

​GoPressure Acting on Rolls from Entry Side Formula

Pressure on Rolls given H (Entry Side) Example

Pressure on Rolls given H (Entry Side) Solution

Pressure on Rolls given H (Entry Side) Formula Elements

Other Formulas to find Pressure Acting at Entry

Other formulas in Analysis at Entry Region category

How to Evaluate Pressure on Rolls given H (Entry Side)?

FAQs on Pressure on Rolls given H (Entry Side)

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GoPressure Acting on Rolls from Entry Side Formula