Credits

University Institute of Technology RGPV (UIT - RGPV), Bhopal
Rajat Vishwakarma has created this Calculator and 300+ more calculators!
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has verified this Calculator and 1000+ more calculators!

Angle subtended by Neutral point Solution

STEP 0: Pre-Calculation Summary
Formula Used
angle_neutral_point = (sqrt(Thickness after Rolling/Radius of Rollers)*tan((Factor H at Neutral point/2)*sqrt(Thickness after Rolling/Radius of Rollers)))*(pi/180)
φN = (sqrt(h/R)*tan((HN/2)*sqrt(h/R)))*(pi/180)
This formula uses 1 Constants, 2 Functions, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
tan - Trigonometric tangent function, tan(Angle)
sqrt - Squre root function, sqrt(Number)
Variables Used
Thickness after Rolling - Thickness after Rolling is the thickness of the workpiece after rolling (Measured in Millimeter)
Radius of Rollers - Radius of Rollers is the distance between centre and point on circumference (Measured in Millimeter)
Factor H at Neutral point- Factor H at Neutral point is its value where the pressure is at its peak
STEP 1: Convert Input(s) to Base Unit
Thickness after Rolling: 1 Millimeter --> 0.001 Meter (Check conversion here)
Radius of Rollers: 5 Millimeter --> 0.005 Meter (Check conversion here)
Factor H at Neutral point: 1 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
φN = (sqrt(h/R)*tan((HN/2)*sqrt(h/R)))*(pi/180) --> (sqrt(0.001/0.005)*tan((1/2)*sqrt(0.001/0.005)))*(pi/180)
Evaluating ... ...
φN = 0.00177501186681802
STEP 3: Convert Result to Output's Unit
0.00177501186681802 Radian -->0.101700688554329 Degree (Check conversion here)
FINAL ANSWER
0.101700688554329 Degree <-- Angle subtended at Neutral point
(Calculation completed in 00.013 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

Angle subtended by Neutral point Formula

angle_neutral_point = (sqrt(Thickness after Rolling/Radius of Rollers)*tan((Factor H at Neutral point/2)*sqrt(Thickness after Rolling/Radius of Rollers)))*(pi/180)
φN = (sqrt(h/R)*tan((HN/2)*sqrt(h/R)))*(pi/180)

What is Neutral point ?

Neutral point is that point where there is no slip between the work piece and the rolls and frictional forces between material and rollers are in equilibrium. To identify the neutral plane position, the two expressions for the roll pressure p– and p+ should be equated as the pressures from both ends peak at the neutral plane. As at entry the material is pulled in and roller is moving faster than material, but at exit material is pulled back and roller is moving slower than material.

How to Calculate Angle subtended by Neutral point?

Angle subtended by Neutral point calculator uses angle_neutral_point = (sqrt(Thickness after Rolling/Radius of Rollers)*tan((Factor H at Neutral point/2)*sqrt(Thickness after Rolling/Radius of Rollers)))*(pi/180) to calculate the Angle subtended at Neutral point, The Angle subtended by Neutral point formula is defined as the angle made by neutral point and line joining two roller centers. Angle subtended at Neutral point and is denoted by φN symbol.

How to calculate Angle subtended by Neutral point using this online calculator? To use this online calculator for Angle subtended by Neutral point, enter Thickness after Rolling (h), Radius of Rollers (R) and Factor H at Neutral point (HN) and hit the calculate button. Here is how the Angle subtended by Neutral point calculation can be explained with given input values -> 0.101701 = (sqrt(0.001/0.005)*tan((1/2)*sqrt(0.001/0.005)))*(pi/180).

FAQ

What is Angle subtended by Neutral point?
The Angle subtended by Neutral point formula is defined as the angle made by neutral point and line joining two roller centers and is represented as φN = (sqrt(h/R)*tan((HN/2)*sqrt(h/R)))*(pi/180) or angle_neutral_point = (sqrt(Thickness after Rolling/Radius of Rollers)*tan((Factor H at Neutral point/2)*sqrt(Thickness after Rolling/Radius of Rollers)))*(pi/180). Thickness after Rolling is the thickness of the workpiece after rolling, Radius of Rollers is the distance between centre and point on circumference and Factor H at Neutral point is its value where the pressure is at its peak.
How to calculate Angle subtended by Neutral point?
The Angle subtended by Neutral point formula is defined as the angle made by neutral point and line joining two roller centers is calculated using angle_neutral_point = (sqrt(Thickness after Rolling/Radius of Rollers)*tan((Factor H at Neutral point/2)*sqrt(Thickness after Rolling/Radius of Rollers)))*(pi/180). To calculate Angle subtended by Neutral point, you need Thickness after Rolling (h), Radius of Rollers (R) and Factor H at Neutral point (HN). With our tool, you need to enter the respective value for Thickness after Rolling, Radius of Rollers and Factor H at Neutral point 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 Angle subtended at Neutral point?
In this formula, Angle subtended at Neutral point uses Thickness after Rolling, Radius of Rollers and Factor H at Neutral point. 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 Angle subtended by Neutral point calculator used?
Among many, Angle subtended by Neutral point calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!