Mean Yield Shear Stress using Pressure on Exit Side Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
Sy = (Prolls*hft)/(hx*exp(μr*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
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.
Pressure on Rolls - (Measured in Pascal) - Pressure on Rolls is the force per unit area of Rollers/plates.
Final Thickness - (Measured in Meter) - Final Thickness is the thickness of the workpiece after 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.
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
Pressure on Rolls: 0.00019 Newton per Square Millimeter --> 190 Pascal (Check conversion here)
Final Thickness: 7.3 Millimeter --> 0.0073 Meter (Check conversion here)
Thickness at the given Point: 0.003135 Millimeter --> 3.135E-06 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
Sy = (Prolls*hft)/(hx*exp(μr*H)) --> (190*0.0073)/(3.135E-06*exp(0.6*5))
Evaluating ... ...
Sy = 22027.0060051762
STEP 3: Convert Result to Output's Unit
22027.0060051762 --> No Conversion Required
FINAL ANSWER
22027.0060051762 22027.01 <-- Mean Yield Shear Stress in RP
(Calculation completed in 00.004 seconds)

Credits

Created by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
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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)

Mean Yield Shear Stress using Pressure on Exit Side Formula

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))
Sy = (Prolls*hft)/(hx*exp(μr*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 Mean Yield Shear Stress using Pressure on Exit Side?

Mean Yield Shear Stress using Pressure on Exit Side calculator uses 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)) to calculate the Mean Yield Shear Stress in RP, The Mean yield shear stress using pressure on exit side is the mean of continuously changing shear yield stress during rolling. Mean Yield Shear Stress in RP is denoted by Sy symbol.

How to calculate Mean Yield Shear Stress using Pressure on Exit Side using this online calculator? To use this online calculator for Mean Yield Shear Stress using Pressure on Exit Side, enter Pressure on Rolls (Prolls), Final Thickness (hft), Thickness at the given Point (hx), Coefficient of Friction in RP r) & Factor H at given Point on Workpiece (H) and hit the calculate button. Here is how the Mean Yield Shear Stress using Pressure on Exit Side calculation can be explained with given input values -> 21725.27 = (190*0.0073)/(3.135E-06*exp(0.6*5)).

FAQ

What is Mean Yield Shear Stress using Pressure on Exit Side?
The Mean yield shear stress using pressure on exit side is the mean of continuously changing shear yield stress during rolling and is represented as Sy = (Prolls*hft)/(hx*exp(μr*H)) or 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)). Pressure on Rolls is the force per unit area of Rollers/plates, Final Thickness is the thickness of the workpiece after rolling, Thickness at the given Point is defined as the thickness of stock at any point between entry and neutral point, 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 Mean Yield Shear Stress using Pressure on Exit Side?
The Mean yield shear stress using pressure on exit side is the mean of continuously changing shear yield stress during rolling is calculated using 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)). To calculate Mean Yield Shear Stress using Pressure on Exit Side, you need Pressure on Rolls (Prolls), Final Thickness (hft), Thickness at the given Point (hx), Coefficient of Friction in RP r) & Factor H at given Point on Workpiece (H). With our tool, you need to enter the respective value for Pressure on Rolls, Final Thickness, Thickness at the given Point, 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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