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Pressure considering rolling similar to plane-strain-upsetting process Solution

STEP 0: Pre-Calculation Summary
Formula Used
pressure_rolls = Width of the strip*((2*Flow stress of work material)/sqrt(3))*(1+(Frictional shear factor*Radius of Rollers*(pi/180)*Bite angle)/(2*(Thickness before Rolling+Thickness after Rolling)))*Radius of Rollers*(pi/180)*Bite angle
P = w*((2*σ)/sqrt(3))*(1+(m*R*(pi/180)*αb)/(2*(hi+h)))*R*(pi/180)*αb
This formula uses 1 Constants, 1 Functions, 7 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Width of the strip - Width of the strip is the dimension which is lesser than the length dimension. (Measured in Millimeter)
Flow stress of work material - Flow stress of work material is a function of plastic strain of material (Measured in Newton per Square Millimeter)
Frictional shear factor- Frictional shear factor is factor introduced to take into account friction forces.
Radius of Rollers - Radius of Rollers is the distance between centre and point on circumference (Measured in Millimeter)
Bite angle- Bite angle is the angle made by entry point, roll center and normal
Thickness before Rolling- Thickness before Rolling is the thickness of sheet before rolling operation.
Thickness after Rolling - Thickness after Rolling is the thickness of the workpiece after rolling (Measured in Millimeter)
STEP 1: Convert Input(s) to Base Unit
Width of the strip: 1 Millimeter --> 0.001 Meter (Check conversion here)
Flow stress of work material: 50 Newton per Square Millimeter --> 50000000 Pascal (Check conversion here)
Frictional shear factor: 0.4 --> No Conversion Required
Radius of Rollers: 5 Millimeter --> 0.005 Meter (Check conversion here)
Bite angle: 30 --> No Conversion Required
Thickness before Rolling: 1 --> No Conversion Required
Thickness after Rolling: 1 Millimeter --> 0.001 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = w*((2*σ)/sqrt(3))*(1+(m*R*(pi/180)*αb)/(2*(hi+h)))*R*(pi/180)*αb --> 0.001*((2*50000000)/sqrt(3))*(1+(0.4*0.005*(pi/180)*30)/(2*(1+0.001)))*0.005*(pi/180)*30
Evaluating ... ...
P = 151.229009883845
STEP 3: Convert Result to Output's Unit
151.229009883845 Pascal -->0.000151229009883845 Newton per Square Millimeter (Check conversion here)
FINAL ANSWER
0.000151229009883845 Newton per Square Millimeter <-- The pressure acting on the rolls
(Calculation completed in 00.023 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

Pressure considering rolling similar to plane-strain-upsetting process Formula

pressure_rolls = Width of the strip*((2*Flow stress of work material)/sqrt(3))*(1+(Frictional shear factor*Radius of Rollers*(pi/180)*Bite angle)/(2*(Thickness before Rolling+Thickness after Rolling)))*Radius of Rollers*(pi/180)*Bite angle
P = w*((2*σ)/sqrt(3))*(1+(m*R*(pi/180)*αb)/(2*(hi+h)))*R*(pi/180)*αb

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 considering rolling similar to plane-strain-upsetting process?

Pressure considering rolling similar to plane-strain-upsetting process calculator uses pressure_rolls = Width of the strip*((2*Flow stress of work material)/sqrt(3))*(1+(Frictional shear factor*Radius of Rollers*(pi/180)*Bite angle)/(2*(Thickness before Rolling+Thickness after Rolling)))*Radius of Rollers*(pi/180)*Bite angle to calculate the The pressure acting on the rolls, The Pressure considering rolling similar to plane-strain-upsetting process formula is the pressure on rollers obtained on considering plane strain upsetting process. The pressure acting on the rolls and is denoted by P symbol.

How to calculate Pressure considering rolling similar to plane-strain-upsetting process using this online calculator? To use this online calculator for Pressure considering rolling similar to plane-strain-upsetting process, enter Width of the strip (w), Flow stress of work material (σ), Frictional shear factor (m), Radius of Rollers (R), Bite angle b), Thickness before Rolling (hi) and Thickness after Rolling (h) and hit the calculate button. Here is how the Pressure considering rolling similar to plane-strain-upsetting process calculation can be explained with given input values -> 0.000151 = 0.001*((2*50000000)/sqrt(3))*(1+(0.4*0.005*(pi/180)*30)/(2*(1+0.001)))*0.005*(pi/180)*30.

FAQ

What is Pressure considering rolling similar to plane-strain-upsetting process?
The Pressure considering rolling similar to plane-strain-upsetting process formula is the pressure on rollers obtained on considering plane strain upsetting process and is represented as P = w*((2*σ)/sqrt(3))*(1+(m*R*(pi/180)*αb)/(2*(hi+h)))*R*(pi/180)*αb or pressure_rolls = Width of the strip*((2*Flow stress of work material)/sqrt(3))*(1+(Frictional shear factor*Radius of Rollers*(pi/180)*Bite angle)/(2*(Thickness before Rolling+Thickness after Rolling)))*Radius of Rollers*(pi/180)*Bite angle. Width of the strip is the dimension which is lesser than the length dimension, Flow stress of work material is a function of plastic strain of material, Frictional shear factor is factor introduced to take into account friction forces, Radius of Rollers is the distance between centre and point on circumference, Bite angle is the angle made by entry point, roll center and normal, Thickness before Rolling is the thickness of sheet before rolling operation and Thickness after Rolling is the thickness of the workpiece after rolling.
How to calculate Pressure considering rolling similar to plane-strain-upsetting process?
The Pressure considering rolling similar to plane-strain-upsetting process formula is the pressure on rollers obtained on considering plane strain upsetting process is calculated using pressure_rolls = Width of the strip*((2*Flow stress of work material)/sqrt(3))*(1+(Frictional shear factor*Radius of Rollers*(pi/180)*Bite angle)/(2*(Thickness before Rolling+Thickness after Rolling)))*Radius of Rollers*(pi/180)*Bite angle. To calculate Pressure considering rolling similar to plane-strain-upsetting process, you need Width of the strip (w), Flow stress of work material (σ), Frictional shear factor (m), Radius of Rollers (R), Bite angle b), Thickness before Rolling (hi) and Thickness after Rolling (h). With our tool, you need to enter the respective value for Width of the strip, Flow stress of work material, Frictional shear factor, Radius of Rollers, Bite angle, Thickness before Rolling and Thickness after Rolling 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 The pressure acting on the rolls?
In this formula, The pressure acting on the rolls uses Width of the strip, Flow stress of work material, Frictional shear factor, Radius of Rollers, Bite angle, Thickness before Rolling and Thickness after Rolling. 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 Pressure considering rolling similar to plane-strain-upsetting process calculator used?
Among many, Pressure considering rolling similar to plane-strain-upsetting process calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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