Pressure on Rolls given H (Entry Side) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pressure Acting at Entry = Mean Yield Shear Stress at Entry*Thickness at Entry/Initial Thickness*exp(Coefficient of Friction*(Factor H at the Entry Point on Workpiece-Factor H at a given Point on Workpiece))
Pe = Se*he/hin*exp(μrp*(Hin-Hx))
This formula uses 1 Functions, 7 Variables
Functions Used
exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)
Variables Used
Pressure Acting at Entry - (Measured in Pascal) - Pressure Acting at Entry is the force per unit area of Rollers/plates.
Mean Yield Shear Stress at Entry - Mean Yield Shear Stress at Entry represents the average shear stress at which the material begins to yield or undergo plastic deformation.
Thickness at Entry - (Measured in Meter) - Thickness at Entry is defined as the thickness of stock at any point between entry and neutral point.
Initial Thickness - (Measured in Meter) - Initial Thickness or Thickness before Rolling is the thickness of sheet before the rolling operation.
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.
Factor H at the Entry Point on Workpiece - Factor H at the Entry Point on Workpiece is a factor calculated using radius of rolls, thickness of work, bite angle.
Factor H at a given Point on Workpiece - Factor H at a given Point on Workpiece is a factor calculated using radius of rolls, thickness of work and position of that point.
STEP 1: Convert Input(s) to Base Unit
Mean Yield Shear Stress at Entry: 5896.83 --> No Conversion Required
Thickness at Entry: 0.011 Millimeter --> 1.1E-05 Meter (Check conversion here)
Initial Thickness: 3.5 Millimeter --> 0.0035 Meter (Check conversion here)
Coefficient of Friction: 0.5 --> No Conversion Required
Factor H at the Entry Point on Workpiece: 3.35 --> No Conversion Required
Factor H at a given Point on Workpiece: 4 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pe = Se*he/hin*exp(μrp*(Hin-Hx)) --> 5896.83*1.1E-05/0.0035*exp(0.5*(3.35-4))
Evaluating ... ...
Pe = 13.3905230635854
STEP 3: Convert Result to Output's Unit
13.3905230635854 Pascal -->1.33905230635854E-05 Newton per Square Millimeter (Check conversion here)
FINAL ANSWER
1.33905230635854E-05 1.3E-5 Newton per Square Millimeter <-- Pressure Acting at Entry
(Calculation completed in 00.004 seconds)

Credits

Created by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
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Verified by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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4 Analysis at Entry Region Calculators

Pressure Acting on Rolls from Entry Side
Go Pressure Acting at Entry = Mean Yield Shear Stress at Entry*Thickness at Entry/Initial Thickness*exp(Coefficient of Friction*(2*sqrt(The Roller Radius/Final Thickness after Rolling)*atan(Angle made by Point Roll Center and Normal*sqrt(The Roller Radius/Final Thickness after Rolling))-2*sqrt(The Roller Radius/Final Thickness after Rolling)*atan(Angle of Bite*sqrt(The Roller Radius/Final Thickness after Rolling))))
Mean Yield Shear Stress given Pressure on Entry Side
Go Mean Yield Shear Stress at Entry = (Pressure Acting at Entry*Initial Thickness/Thickness at Entry)/(exp(Coefficient of Friction*(Factor H at the Entry Point on Workpiece-Factor H at a given Point on Workpiece)))
Thickness of Stock at given Point on Entry Side
Go Thickness at Entry = (Pressure Acting at Entry*Initial Thickness)/(Mean Yield Shear Stress at Entry*exp(Coefficient of Friction*(Factor H at the Entry Point on Workpiece-Factor H at a given Point on Workpiece)))
Pressure on Rolls given H (Entry Side)
Go Pressure Acting at Entry = Mean Yield Shear Stress at Entry*Thickness at Entry/Initial Thickness*exp(Coefficient of Friction*(Factor H at the Entry Point on Workpiece-Factor H at a given Point on Workpiece))

Pressure on Rolls given H (Entry Side) Formula

Pressure Acting at Entry = Mean Yield Shear Stress at Entry*Thickness at Entry/Initial Thickness*exp(Coefficient of Friction*(Factor H at the Entry Point on Workpiece-Factor H at a given Point on Workpiece))
Pe = Se*he/hin*exp(μrp*(Hin-Hx))

How does pressure on rolls vary?

The pressure on rolls starts from the entry point and continues to build up till the neutral point. Similarly the exit pressure is zero at the exit point and increases towards the neutral point. At any section i, between the entry point and exit point in the rolls.

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

Pressure on Rolls given H (Entry Side) calculator uses Pressure Acting at Entry = Mean Yield Shear Stress at Entry*Thickness at Entry/Initial Thickness*exp(Coefficient of Friction*(Factor H at the Entry Point on Workpiece-Factor H at a given Point on Workpiece)) to calculate the Pressure Acting at Entry, Pressure on Rolls given H (Entry Side) is defined as the pressure on rolls when factor H is known. Pressure Acting at Entry is denoted by Pe symbol.

How to calculate Pressure on Rolls given H (Entry Side) using this online calculator? To use this online calculator for Pressure on Rolls given H (Entry Side), enter Mean Yield Shear Stress at Entry (Se), Thickness at Entry (he), Initial Thickness (hin), Coefficient of Friction rp), Factor H at the Entry Point on Workpiece (Hin) & Factor H at a given Point on Workpiece (Hx) and hit the calculate button. Here is how the Pressure on Rolls given H (Entry Side) calculation can be explained with given input values -> 1.3E-11 = 5896.83*1.1E-05/0.0035*exp(0.5*(3.35-4)).

FAQ

What is Pressure on Rolls given H (Entry Side)?
Pressure on Rolls given H (Entry Side) is defined as the pressure on rolls when factor H is known and is represented as Pe = Se*he/hin*exp(μrp*(Hin-Hx)) or Pressure Acting at Entry = Mean Yield Shear Stress at Entry*Thickness at Entry/Initial Thickness*exp(Coefficient of Friction*(Factor H at the Entry Point on Workpiece-Factor H at a given Point on Workpiece)). Mean Yield Shear Stress at Entry represents the average shear stress at which the material begins to yield or undergo plastic deformation, Thickness at Entry is defined as the thickness of stock at any point between entry and neutral point, Initial Thickness or Thickness before Rolling is the thickness of sheet before the rolling operation, 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, Factor H at the Entry Point on Workpiece is a factor calculated using radius of rolls, thickness of work, bite angle & Factor H at a given Point on Workpiece is a factor calculated using radius of rolls, thickness of work and position of that point.
How to calculate Pressure on Rolls given H (Entry Side)?
Pressure on Rolls given H (Entry Side) is defined as the pressure on rolls when factor H is known is calculated using Pressure Acting at Entry = Mean Yield Shear Stress at Entry*Thickness at Entry/Initial Thickness*exp(Coefficient of Friction*(Factor H at the Entry Point on Workpiece-Factor H at a given Point on Workpiece)). To calculate Pressure on Rolls given H (Entry Side), you need Mean Yield Shear Stress at Entry (Se), Thickness at Entry (he), Initial Thickness (hin), Coefficient of Friction rp), Factor H at the Entry Point on Workpiece (Hin) & Factor H at a given Point on Workpiece (Hx). With our tool, you need to enter the respective value for Mean Yield Shear Stress at Entry, Thickness at Entry, Initial Thickness, Coefficient of Friction, Factor H at the Entry Point on Workpiece & Factor H at a given Point on Workpiece and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Pressure Acting at Entry?
In this formula, Pressure Acting at Entry uses Mean Yield Shear Stress at Entry, Thickness at Entry, Initial Thickness, Coefficient of Friction, Factor H at the Entry Point on Workpiece & Factor H at a given Point on Workpiece. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Pressure Acting at Entry = Mean Yield Shear Stress at Entry*Thickness at Entry/Initial Thickness*exp(Coefficient of Friction*(2*sqrt(The Roller Radius/Final Thickness after Rolling)*atan(Angle made by Point Roll Center and Normal*sqrt(The Roller Radius/Final Thickness after Rolling))-2*sqrt(The Roller Radius/Final Thickness after Rolling)*atan(Angle of Bite*sqrt(The Roller Radius/Final Thickness after Rolling))))
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