Pressure on Rolls given H (Entry Side) Calculator

✖Mean Yield Shear Stress represents the average shear stress at which the material begins to yield or undergo plastic deformation.ⓘ Mean Yield Shear Stress [S_e]			+10% -10%
✖Thickness at Entry is defined as the thickness of stock at any point between entry and neutral point.ⓘ Thickness at Entry [h_e]			+10% -10%
✖Initial Thickness is the thickness of sheet before the rolling operation.ⓘ Initial Thickness [h_in]			+10% -10%
✖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.ⓘ Coefficient of Friction [μ_rp]			+10% -10%
✖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.ⓘ H Factor at Entry Point on Workpiece [H_in]			+10% -10%
✖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.ⓘ Factor H at a Point on Workpiece [H_x]			+10% -10%

✖Pressure Acting at Entry is the force per unit area of Rollers on the sheet at the entry region.ⓘ Pressure on Rolls given H (Entry Side) [P_e]

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Formula

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Pressure on Rolls given H (Entry Side)

Formula

`"P"_{"e"} = "S"_{"e"}*"h"_{"e"}/"h"_{"in"}*exp("μ"_{"rp"}*("H"_{"in"}-"H"_{"x"}))`

Example

`"9.9E^-6N/mm²"="4359.69"*"0.011mm"/"3.5mm"*exp("0.5"*("3.35"-"4"))`

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Pressure on Rolls given H (Entry Side) Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
P_e = S_e*h_e/h_in*exp(μ_rp*(H_in-H_x))
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 on the sheet at the entry region.
Mean Yield Shear Stress - Mean Yield Shear Stress 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 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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Mean Yield Shear Stress: 4359.69 --> 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
H Factor at Entry Point on Workpiece: 3.35 --> No Conversion Required
Factor H at a Point on Workpiece: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_e = S_e*h_e/h_in*exp(μ_rp*(H_in-H_x)) --> 4359.69*1.1E-05/0.0035*exp(0.5*(3.35-4))

Evaluating ... ...

P_e = 9.8999851606851

STEP 3: Convert Result to Output's Unit

9.8999851606851 Pascal -->9.8999851606851E-06 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

9.8999851606851E-06 ≈ 9.9E-6 Newton per Square Millimeter <-- Pressure Acting at Entry

(Calculation completed in 00.004 seconds)

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Created by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

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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*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))))

Mean Yield Shear Stress given Pressure on Entry Side

Go Mean Yield Shear Stress = (Pressure Acting at Entry*Initial Thickness/Thickness at Entry)/(exp(Coefficient of Friction*(H Factor at Entry Point on Workpiece-Factor H at a 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*exp(Coefficient of Friction*(H Factor at Entry Point on Workpiece-Factor H at a Point on Workpiece)))

Pressure on Rolls given H (Entry Side)

Go 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))

Pressure on Rolls given H (Entry Side) Formula

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*Thickness at Entry/Initial Thickness*exp(Coefficient of Friction*(H Factor at Entry Point on Workpiece-Factor H at a Point on Workpiece)) to calculate 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_e 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 (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. Here is how the Pressure on Rolls given H (Entry Side) calculation can be explained with given input values -> 1.3E-11 = 4359.69*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 exerted on the sheet by the roll when factor H is given for the entry side of rolling operation and is represented as P_e = S_e*h_e/h_in*exp(μ_rp*(H_in-H_x)) or 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)). Mean Yield Shear Stress 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 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, 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 & 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.

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

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 is calculated using 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 calculate Pressure on Rolls given H (Entry Side), you need 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). With our tool, you need to enter the respective value for Mean Yield Shear Stress, Thickness at Entry, Initial Thickness, Coefficient of Friction, H Factor at Entry Point on Workpiece & Factor H at a 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, Thickness at Entry, Initial Thickness, Coefficient of Friction, H Factor at Entry Point on Workpiece & Factor H at a 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*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))))

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