Thickness of Stock at given Point on Exit Side Calculator

✖Pressure on Roller is the force per unit area on Roller during the rolling process.ⓘ Pressure on Roller [P_rolls]			+10% -10%
✖Final Thickness is the thickness of the workpiece after rolling.ⓘ Final Thickness [h_ft]			+10% -10%
✖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%
✖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%

✖Thickness at the given Point is defined as the thickness of stock at any point between entry and neutral point during the rolling.ⓘ Thickness of Stock at given Point on Exit Side [h_x]

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Formula

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Thickness of Stock at given Point on Exit Side

Formula

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

Example

`"0.003135mm"=("0.000190N/mm²"*"7.3mm")/("22027.01"*exp("0.6"*"5"))`

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Thickness of Stock at given Point on Exit Side Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
h_x = (P_rolls*h_ft)/(S_y*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

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.
Pressure on Roller - (Measured in Pascal) - Pressure on Roller is the force per unit area on Roller during the rolling process.
Final Thickness - (Measured in Meter) - Final Thickness is the thickness of the workpiece after rolling.
Mean Yield Shear Stress at Exit - 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.
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

Pressure on Roller: 0.00019 Newton per Square Millimeter --> 190 Pascal (Check conversion here)
Final Thickness: 7.3 Millimeter --> 0.0073 Meter (Check conversion here)
Mean Yield Shear Stress at Exit: 22027.01 --> No Conversion Required
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

h_x = (P_rolls*h_ft)/(S_y*exp(μ_r*H)) --> (190*0.0073)/(22027.01*exp(0.6*5))

Evaluating ... ...

h_x = 3.13499943143565E-06

STEP 3: Convert Result to Output's Unit

3.13499943143565E-06 Meter -->0.00313499943143565 Millimeter (Check conversion here)

FINAL ANSWER

0.00313499943143565 ≈ 0.003135 Millimeter <-- Thickness at the given Point

(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 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

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

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)

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)

Thickness of Stock at given Point on 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 Thickness of Stock at given Point on Exit Side?

Thickness of Stock at given Point on Exit Side calculator uses 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)) to calculate the Thickness at the given Point, The Thickness of stock at given point on exit side formula is defined as the thickness of stock or the work piece at the exit of the rolling process. Thickness at the given Point is denoted by h_x symbol.

How to calculate Thickness of Stock at given Point on Exit Side using this online calculator? To use this online calculator for Thickness of Stock at given Point on Exit Side, enter Pressure on Roller (P_rolls), Final Thickness (h_ft), Mean Yield Shear Stress at Exit (S_y), Friction Coefficient (μ_r) & Factor H at given Point on Workpiece (H) and hit the calculate button. Here is how the Thickness of Stock at given Point on Exit Side calculation can be explained with given input values -> 1.175699 = (190*0.0073)/(22027.01*exp(0.6*5)).

FAQ

What is Thickness of Stock at given Point on Exit Side?

The Thickness of stock at given point on exit side formula is defined as the thickness of stock or the work piece at the exit of the rolling process and is represented as h_x = (P_rolls*h_ft)/(S_y*exp(μ_r*H)) or 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 Roller is the force per unit area on Roller during the rolling process, Final Thickness is the thickness of the workpiece after rolling, 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, 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 Thickness of Stock at given Point on Exit Side?

The Thickness of stock at given point on exit side formula is defined as the thickness of stock or the work piece at the exit of the rolling process is calculated using 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)). To calculate Thickness of Stock at given Point on Exit Side, you need Pressure on Roller (P_rolls), Final Thickness (h_ft), Mean Yield Shear Stress at Exit (S_y), Friction Coefficient (μ_r) & Factor H at given Point on Workpiece (H). With our tool, you need to enter the respective value for Pressure on Roller, Final Thickness, Mean Yield Shear Stress at Exit, 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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