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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
Pen=Se⋅hehin⋅exp(μrp⋅(Hin-Hx))
Pen - Pressure Acting at Entry?Se - Mean Yield Shear Stress?he - Thickness at Entry?hin - Initial Thickness?μrp - Coefficient of Friction?Hin - H Factor at Entry Point on Workpiece?Hx - 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-6Edit=4359.69Edit⋅0.011Edit3.5Edit⋅exp(0.5Edit⋅(3.35Edit-4Edit))
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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
Pen=Se⋅hehin⋅exp(μrp⋅(Hin-Hx))
Next Step Substitute values of Variables
∴ Pen=4359.69Pa⋅0.011mm3.5mm⋅exp(0.5⋅(3.35-4))
Next Step Convert Units
∴ Pen=4359.69Pa⋅1.1E-5m0.0035m⋅exp(0.5⋅(3.35-4))
Next Step Prepare to Evaluate
∴ Pen=4359.69⋅1.1E-50.0035⋅exp(0.5⋅(3.35-4))
Next Step Evaluate
∴Pen=9.8999851606851Pa
Next Step Convert to Output's Unit
∴Pen=9.8999851606851E-06N/mm²
LAST Step Rounding Answer
∴Pen=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: Pen
Measurement: PressureUnit: N/mm²
Note: Value can be positive or negative.
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: Se
Measurement: StressUnit: Pa
Note: Value should be greater than 0.
Thickness at Entry
Thickness at Entry is defined as the thickness of stock at any point between entry and neutral point.
Symbol: he
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Initial Thickness
Initial Thickness is the thickness of sheet before the rolling operation.
Symbol: hin
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
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: μrp
Measurement: NAUnit: Unitless
Note: Value should be between 0 to 1.
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: Hin
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
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: Hx
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
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)

Credits

Creator Image
Created by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
Rajat Vishwakarma has created this Formula and 400+ more formulas!
Verifier Image
Verified by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
Nishan Poojary has verified this Formula and 400+ more formulas!

Other Formulas to find Pressure Acting at Entry

​Go Pressure Acting on Rolls from Entry Side
Pen=Se⋅hehin⋅exp(μrp⋅(2⋅Rrollerhf⋅atan(Θr⋅Rrollerhf)-2⋅Rrollerhf⋅atan(αbite⋅Rrollerhf)))

Other formulas in Analysis at Entry Region category

​Go Thickness of Stock at given Point on Entry Side
he=Pen⋅hinSe⋅exp(μrp⋅(Hin-Hx))
​Go Mean Yield Shear Stress given Pressure on Entry Side
Se=Pen⋅hinheexp(μrp⋅(Hin-Hx))

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 Pen 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 (Se), Thickness at Entry (he), Initial Thickness (hin), Coefficient of Friction (μrp), H Factor at Entry Point on Workpiece (Hin) & Factor H at a Point on Workpiece (Hx) 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 (Se), Thickness at Entry (he), Initial Thickness (hin), Coefficient of Friction (μrp), H Factor at Entry Point on Workpiece (Hin) & Factor H at a Point on Workpiece (Hx) 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 (exp) 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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