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Pressure on Rolls given H (Exit Side) Calculator

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Analysis at Exit Region Analysis at Entry Region Rolling Analysis

✖Mean Yield Shear Stress at Exit represents the average shear stress at which the material begins to yield or undergo plastic deformation at the end of rolling.ⓘ Mean Yield Shear Stress at Exit [S_y]			+10% -10%
✖Thickness at the given Point is defined as the thickness of stock at any point between entry and neutral point during the rolling.ⓘ Thickness at the given Point [h_x]			+10% -10%
✖Final Thickness is the thickness of the workpiece after rolling.ⓘ Final Thickness [h_ft]			+10% -10%
✖Friction Coefficient(μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.ⓘ Friction Coefficient [μ_r]			+10% -10%
✖Factor H at given 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 given Point on Workpiece [H]			+10% -10%

✖Pressure on Roller is the force per unit area on Roller during the rolling process.ⓘ Pressure on Rolls given H (Exit Side) [P_rolls]

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Pressure on Rolls given H (Exit Side) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure on Roller = Mean Yield Shear Stress at Exit*Thickness at the given Point/Final Thickness*exp(Friction Coefficient*Factor H at given Point on Workpiece)
P_rolls = S_y*h_x/h_ft*exp(μ_r*H)
This formula uses 1 Functions, 6 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 on Roller - (Measured in Pascal) - Pressure on Roller is the force per unit area on Roller during the rolling process.
Mean Yield Shear Stress at Exit - (Measured in Pascal) - Mean Yield Shear Stress at Exit represents the average shear stress at which the material begins to yield or undergo plastic deformation at the end of rolling.
Thickness at the given Point - (Measured in Meter) - Thickness at the given Point is defined as the thickness of stock at any point between entry and neutral point during the rolling.
Final Thickness - (Measured in Meter) - Final Thickness is the thickness of the workpiece after rolling.
Friction Coefficient - Friction Coefficient(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 given Point on Workpiece - Factor H at given 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 at Exit: 22027.01 Pascal --> 22027.01 Pascal No Conversion Required
Thickness at the given Point: 0.003135 Millimeter --> 3.135E-06 Meter (Check conversion here)
Final Thickness: 7.3 Millimeter --> 0.0073 Meter (Check conversion here)
Friction Coefficient: 0.6 --> No Conversion Required
Factor H at given Point on Workpiece: 5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_rolls = S_y*h_x/h_ft*exp(μ_r*H) --> 22027.01*3.135E-06/0.0073*exp(0.6*5)

Evaluating ... ...

P_rolls = 190.000034458452

STEP 3: Convert Result to Output's Unit

190.000034458452 Pascal -->0.000190000034458452 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

0.000190000034458452 ≈ 0.00019 Newton per Square Millimeter <-- Pressure on Roller

(Calculation completed in 00.004 seconds)

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

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< Analysis at Exit Region Calculators

Pressure Acting on Rolls in Exit Region

LaTeX Go Pressure Acting on Exit = Mean Yield Shear Stress at Exit*Thickness at the given Point/Final Thickness*exp(Friction Coefficient*2*sqrt(Roll Radius/Final Thickness)*atan(Angle made by Point Roll Center and Normal*sqrt(Roll Radius/Final Thickness)))

Mean Yield Shear Stress using Pressure on Exit Side

LaTeX Go Mean Yield Shear Stress at Exit = (Pressure on Roller*Final Thickness)/(Thickness at the given Point*exp(Friction Coefficient*Factor H at given Point on Workpiece))

Thickness of Stock at given Point on Exit Side

LaTeX Go Thickness at the given Point = (Pressure on Roller*Final Thickness)/(Mean Yield Shear Stress at Exit*exp(Friction Coefficient*Factor H at given Point on Workpiece))

Pressure on Rolls given H (Exit Side)

LaTeX Go Pressure on Roller = Mean Yield Shear Stress at Exit*Thickness at the given Point/Final Thickness*exp(Friction Coefficient*Factor H at given Point on Workpiece)

Pressure on Rolls given H (Exit Side) Formula

LaTeX Go

Pressure on Roller = Mean Yield Shear Stress at Exit*Thickness at the given Point/Final Thickness*exp(Friction Coefficient*Factor H at given Point on Workpiece)
P_rolls = S_y*h_x/h_ft*exp(μ_r*H)

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 (Exit Side)?

Pressure on Rolls given H (Exit Side) calculator uses Pressure on Roller = Mean Yield Shear Stress at Exit*Thickness at the given Point/Final Thickness*exp(Friction Coefficient*Factor H at given Point on Workpiece) to calculate the Pressure on Roller, Pressure on Rolls given H (Exit Side) is defined as the pressure exerted on the sheet by the roll when factor H is given for the exit side of rolling operation. Pressure on Roller is denoted by P_rolls symbol.

How to calculate Pressure on Rolls given H (Exit Side) using this online calculator? To use this online calculator for Pressure on Rolls given H (Exit Side), enter Mean Yield Shear Stress at Exit (S_y), Thickness at the given Point (h_x), Final Thickness (h_ft), Friction Coefficient (μ_r) & Factor H at given Point on Workpiece (H) and hit the calculate button. Here is how the Pressure on Rolls given H (Exit Side) calculation can be explained with given input values -> 5.1E-10 = 22027.01*3.135E-06/0.0073*exp(0.6*5).

FAQ

What is Pressure on Rolls given H (Exit Side)?

Pressure on Rolls given H (Exit Side) is defined as the pressure exerted on the sheet by the roll when factor H is given for the exit side of rolling operation and is represented as P_rolls = S_y*h_x/h_ft*exp(μ_r*H) or Pressure on Roller = Mean Yield Shear Stress at Exit*Thickness at the given Point/Final Thickness*exp(Friction Coefficient*Factor H at given Point on Workpiece). Mean Yield Shear Stress at Exit represents the average shear stress at which the material begins to yield or undergo plastic deformation at the end of rolling, Thickness at the given Point is defined as the thickness of stock at any point between entry and neutral point during the rolling, Final Thickness is the thickness of the workpiece after rolling, Friction Coefficient(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 given 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 (Exit Side)?

Pressure on Rolls given H (Exit Side) is defined as the pressure exerted on the sheet by the roll when factor H is given for the exit side of rolling operation is calculated using Pressure on Roller = Mean Yield Shear Stress at Exit*Thickness at the given Point/Final Thickness*exp(Friction Coefficient*Factor H at given Point on Workpiece). To calculate Pressure on Rolls given H (Exit Side), you need Mean Yield Shear Stress at Exit (S_y), Thickness at the given Point (h_x), Final Thickness (h_ft), Friction Coefficient (μ_r) & Factor H at given Point on Workpiece (H). With our tool, you need to enter the respective value for Mean Yield Shear Stress at Exit, Thickness at the given Point, Final Thickness, Friction Coefficient & Factor H at 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.

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