Pressure on Rolls given H (Exit Side) Calculator

✖Mean Yield Shear Stress in RP represents the average shear stress at which the material begins to yield or undergo plastic deformation.ⓘ Mean Yield Shear Stress in RP [S_y]			+10% -10%
✖Thickness at the given Point is defined as the thickness of stock at any point between entry and neutral point.ⓘ 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%
✖Coefficient of Friction in RP(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 in RP [μ_r]			+10% -10%
✖Factor H at given Point on Workpiece is a factor calculated using radius of rolls, thickness of work and position of that point.ⓘ Factor H at given Point on Workpiece [H]			+10% -10%

✖Pressure on Rolls is the force per unit area of Rollers/plates.ⓘ Pressure on Rolls given H (Exit Side) [P_rolls]

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Formula

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Pressure on Rolls given H (Exit Side)

Formula

`"P"_{"rolls"} = "S"_{"y"}*"h"_{"x"}/"h"_{"ft"}*exp("μ"_{"r"}*"H")`

Example

`"0.000507N/mm²"="58735"*"0.003135mm"/"7.3mm"*exp("0.6"*"5")`

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Pressure on Rolls given H (Exit Side) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure on Rolls = Mean Yield Shear Stress in RP*Thickness at the given Point/Final Thickness*exp(Coefficient of Friction in RP*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 Rolls - (Measured in Pascal) - Pressure on Rolls is the force per unit area of Rollers/plates.
Mean Yield Shear Stress in RP - Mean Yield Shear Stress in RP represents the average shear stress at which the material begins to yield or undergo plastic deformation.
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.
Final Thickness - (Measured in Meter) - Final Thickness is the thickness of the workpiece after rolling.
Coefficient of Friction in RP - Coefficient of Friction in RP(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 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 in RP: 58735 --> 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)
Coefficient of Friction in RP: 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) --> 58735*3.135E-06/0.0073*exp(0.6*5)

Evaluating ... ...

P_rolls = 506.634900693157

STEP 3: Convert Result to Output's Unit

506.634900693157 Pascal -->0.000506634900693157 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

0.000506634900693157 ≈ 0.000507 Newton per Square Millimeter <-- Pressure on Rolls

(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 Exit Region Calculators

Pressure Acting on Rolls in Exit Region

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

Mean Yield Shear Stress using Pressure on Exit Side

Go Mean Yield Shear Stress in RP = (Pressure on Rolls*Final Thickness)/(Thickness at the given Point*exp(Coefficient of Friction in RP*Factor H at given Point on Workpiece))

Thickness of Stock at given Point on Exit Side

Go Thickness at the given Point = (Pressure on Rolls*Final Thickness)/(Mean Yield Shear Stress in RP*exp(Coefficient of Friction in RP*Factor H at given Point on Workpiece))

Pressure on Rolls given H (Exit Side)

Go Pressure on Rolls = Mean Yield Shear Stress in RP*Thickness at the given Point/Final Thickness*exp(Coefficient of Friction in RP*Factor H at given Point on Workpiece)

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

Pressure on Rolls given H (Exit Side) calculator uses Pressure on Rolls = Mean Yield Shear Stress in RP*Thickness at the given Point/Final Thickness*exp(Coefficient of Friction in RP*Factor H at given Point on Workpiece) to calculate the Pressure on Rolls, The Pressure on Rolls given H (exit side) formula is defined as the pressure on rolls on the exit region after rolling. Pressure on Rolls 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 in RP (S_y), Thickness at the given Point (h_x), Final Thickness (h_ft), Coefficient of Friction in RP (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 = 58735*3.135E-06/0.0073*exp(0.6*5).

FAQ

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

The Pressure on Rolls given H (exit side) formula is defined as the pressure on rolls on the exit region after rolling and is represented as P_rolls = S_y*h_x/h_ft*exp(μ_r*H) or Pressure on Rolls = Mean Yield Shear Stress in RP*Thickness at the given Point/Final Thickness*exp(Coefficient of Friction in RP*Factor H at given Point on Workpiece). Mean Yield Shear Stress in RP represents the average shear stress at which the material begins to yield or undergo plastic deformation, Thickness at the given Point is defined as the thickness of stock at any point between entry and neutral point, Final Thickness is the thickness of the workpiece after rolling, Coefficient of Friction in RP(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 a factor calculated using radius of rolls, thickness of work and position of that point.

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

The Pressure on Rolls given H (exit side) formula is defined as the pressure on rolls on the exit region after rolling is calculated using Pressure on Rolls = Mean Yield Shear Stress in RP*Thickness at the given Point/Final Thickness*exp(Coefficient of Friction in RP*Factor H at given Point on Workpiece). To calculate Pressure on Rolls given H (Exit Side), you need Mean Yield Shear Stress in RP (S_y), Thickness at the given Point (h_x), Final Thickness (h_ft), Coefficient of Friction in RP (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 in RP, Thickness at the given Point, Final Thickness, Coefficient of Friction in RP & 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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