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Thickness of stock at given point on exit side Solution

STEP 0: Pre-Calculation Summary
Formula Used
thickness_given = (The pressure acting on the rolls*Thickness after Rolling)/(Mean yield shear stress of the work material*exp(Coefficient of Friction*Factor H at given point on workpiece))
h = (P*h)/(S*exp(μ*H))
This formula uses 1 Constants, 1 Functions, 5 Variables
Constants Used
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249
Functions Used
exp - Exponential function, exp(Number)
Variables Used
The pressure acting on the rolls - The pressure acting on the rolls is the force per unit area of Rollers/plates. (Measured in Newton per Square Millimeter)
Thickness after Rolling - Thickness after Rolling is the thickness of the workpiece after rolling (Measured in Millimeter)
Mean yield shear stress of the work material- Mean yield shear stress of the work material is the mean yield shear stress of the work material.
Coefficient of Friction- The 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. This ratio is dependent on material properties and most materials have a value between 0 and 1.
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
The pressure acting on the rolls: 1 Newton per Square Millimeter --> 1000000 Pascal (Check conversion here)
Thickness after Rolling: 1 Millimeter --> 0.001 Meter (Check conversion here)
Mean yield shear stress of the work material: 1 --> No Conversion Required
Coefficient of Friction: 0.2 --> No Conversion Required
Factor H at given point on workpiece: 1 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = (P*h)/(S*exp(μ*H)) --> (1000000*0.001)/(1*exp(0.2*1))
Evaluating ... ...
h = 818.730753077982
STEP 3: Convert Result to Output's Unit
818.730753077982 Meter -->818730.753077982 Millimeter (Check conversion here)
FINAL ANSWER
818730.753077982 Millimeter <-- Thickness at given point
(Calculation completed in 00.011 seconds)

10+ Rolling process Calculators

Pressure acting on the rolls from entry side
pressure_rolls = Mean yield shear stress of the work material*(Thickness at given point/Thickness before Rolling)*(exp(Coefficient of Friction*((2*sqrt(Radius of Rollers/Thickness after Rolling)*atan(Angle made by given point, roll center and normal*sqrt(Radius of Rollers/Thickness after Rolling)))-(2*sqrt(Radius of Rollers/Thickness after Rolling)*atan(Bite angle*sqrt(Radius of Rollers/Thickness after Rolling)))))) Go
Pressure acting on the rolls in exit region
pressure_rolls = Mean yield shear stress of the work material*(Thickness at given point/Thickness after Rolling)*exp(Coefficient of Friction*(2*sqrt(Radius of Rollers/Thickness after Rolling)*atan(Angle made by given point, roll center and normal*sqrt(Radius of Rollers/Thickness after Rolling)))) Go
Thickness of stock at given point on entry side.
thickness_given = (The pressure acting on the rolls*Thickness before Rolling)/(Mean yield shear stress of the work material*exp(Coefficient of Friction*(Factor H at entry point on workpiece-Factor H at given point on workpiece))) Go
Pressure on rolls when H is known (entry side)
pressure_rolls = Mean yield shear stress of the work material*(Thickness at given point/Thickness before Rolling)*exp(Coefficient of Friction*(Factor H at entry point on workpiece-Factor H at given point on workpiece)) Go
Pressure on rolls when H is known (exit side)
pressure_rolls = Mean yield shear stress of the work material*(Thickness at given point/Thickness after Rolling)*exp(Coefficient of Friction*Factor H at given point on workpiece) Go
Projected Area
area = Width*(Radius of the roller*Change In Length)^0.5 Go
Total Elongation of Stock
total_elongation_of_stock = Initial cross-sectional area/Final cross-sectional area Go
Maximum Reduction in Thickness Possible
change_in_thickness = (Coefficient of Friction^2)*Radius of the roller Go
Bite Angle
bite_angle = acos(1-(Height/(2*Radius))) Go
Projected Length
length = (Radius of the roller*Change in thickness)^0.5 Go

Thickness of stock at given point on exit side Formula

thickness_given = (The pressure acting on the rolls*Thickness after Rolling)/(Mean yield shear stress of the work material*exp(Coefficient of Friction*Factor H at given point on workpiece))
h = (P*h)/(S*exp(μ*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 Thickness of stock at given point on exit side?

Thickness of stock at given point on exit side calculator uses thickness_given = (The pressure acting on the rolls*Thickness after Rolling)/(Mean yield shear stress of the work material*exp(Coefficient of Friction*Factor H at given point on workpiece)) to calculate the Thickness at given point, The Thickness of stock at given point on exit side is the thickness of stock between neutral point and exit during rolling. Thickness at given point and is denoted by h 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 The pressure acting on the rolls (P), Thickness after Rolling (h), Mean yield shear stress of the work material (S), Coefficient of Friction (μ) and 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 -> 818730.8 = (1000000*0.001)/(1*exp(0.2*1)).

FAQ

What is Thickness of stock at given point on exit side?
The Thickness of stock at given point on exit side is the thickness of stock between neutral point and exit during rolling and is represented as h = (P*h)/(S*exp(μ*H)) or thickness_given = (The pressure acting on the rolls*Thickness after Rolling)/(Mean yield shear stress of the work material*exp(Coefficient of Friction*Factor H at given point on workpiece)). The pressure acting on the rolls is the force per unit area of Rollers/plates, Thickness after Rolling is the thickness of the workpiece after rolling, Mean yield shear stress of the work material is the mean yield shear stress of the work material, The 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. This ratio is dependent on material properties and most materials have a value between 0 and 1. and 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 Thickness of stock at given point on exit side?
The Thickness of stock at given point on exit side is the thickness of stock between neutral point and exit during rolling is calculated using thickness_given = (The pressure acting on the rolls*Thickness after Rolling)/(Mean yield shear stress of the work material*exp(Coefficient of Friction*Factor H at given point on workpiece)). To calculate Thickness of stock at given point on exit side, you need The pressure acting on the rolls (P), Thickness after Rolling (h), Mean yield shear stress of the work material (S), Coefficient of Friction (μ) and Factor H at given point on workpiece (H). With our tool, you need to enter the respective value for The pressure acting on the rolls, Thickness after Rolling, Mean yield shear stress of the work material, Coefficient of Friction and 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.
How many ways are there to calculate Thickness at given point?
In this formula, Thickness at given point uses The pressure acting on the rolls, Thickness after Rolling, Mean yield shear stress of the work material, Coefficient of Friction and Factor H at given point on workpiece. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • change_in_thickness = (Coefficient of Friction^2)*Radius of the roller
  • area = Width*(Radius of the roller*Change In Length)^0.5
  • length = (Radius of the roller*Change in thickness)^0.5
  • bite_angle = acos(1-(Height/(2*Radius)))
  • total_elongation_of_stock = Initial cross-sectional area/Final cross-sectional area
  • pressure_rolls = Mean yield shear stress of the work material*(Thickness at given point/Thickness before Rolling)*(exp(Coefficient of Friction*((2*sqrt(Radius of Rollers/Thickness after Rolling)*atan(Angle made by given point, roll center and normal*sqrt(Radius of Rollers/Thickness after Rolling)))-(2*sqrt(Radius of Rollers/Thickness after Rolling)*atan(Bite angle*sqrt(Radius of Rollers/Thickness after Rolling))))))
  • pressure_rolls = Mean yield shear stress of the work material*(Thickness at given point/Thickness after Rolling)*exp(Coefficient of Friction*(2*sqrt(Radius of Rollers/Thickness after Rolling)*atan(Angle made by given point, roll center and normal*sqrt(Radius of Rollers/Thickness after Rolling))))
  • pressure_rolls = Mean yield shear stress of the work material*(Thickness at given point/Thickness before Rolling)*exp(Coefficient of Friction*(Factor H at entry point on workpiece-Factor H at given point on workpiece))
  • pressure_rolls = Mean yield shear stress of the work material*(Thickness at given point/Thickness after Rolling)*exp(Coefficient of Friction*Factor H at given point on workpiece)
  • thickness_given = (The pressure acting on the rolls*Thickness before Rolling)/(Mean yield shear stress of the work material*exp(Coefficient of Friction*(Factor H at entry point on workpiece-Factor H at given point on workpiece)))
Where is the Thickness of stock at given point on exit side calculator used?
Among many, Thickness of stock at given point on exit side calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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