Factor H used in Rolling Calculations Calculator

✖The Roller Radius is the distance between the center and the point on the circumference of the roller.ⓘ Roller Radius [R]			+10% -10%
✖Thickness after Rolling is the thickness of the workpiece after rolling and is denoted by the symbol h.ⓘ Thickness after Rolling [h_fi]			+10% -10%
✖Angle made by given Point Roll Center and Normal is the angle made by the roller centre and the normal.ⓘ Angle made by given Point Roll Center and Normal [Θ]			+10% -10%

✖Factor H in Rolling Calculation is a factor calculated using radius of rolls, thickness of work and position of that point.ⓘ Factor H used in Rolling Calculations [H_r]

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Formula

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Factor H used in Rolling Calculations

Formula

`"H"_{"r"} = 2*sqrt("R"/"h"_{"fi"})*atan(sqrt("R"/"h"_{"fi"}))*"Θ"`

Example

`"3.186783"=2*sqrt("102mm"/"7.2mm")*atan(sqrt("102mm"/"7.2mm"))*"18.5°"`

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Factor H used in Rolling Calculations Solution

STEP 0: Pre-Calculation Summary

Formula Used

Factor H in Rolling Calculation = 2*sqrt(Roller Radius/Thickness after Rolling)*atan(sqrt(Roller Radius/Thickness after Rolling))*Angle made by given Point Roll Center and Normal
H_r = 2*sqrt(R/h_fi)*atan(sqrt(R/h_fi))*Θ
This formula uses 3 Functions, 4 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
atan - Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle., atan(Number)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Factor H in Rolling Calculation - Factor H in Rolling Calculation is a factor calculated using radius of rolls, thickness of work and position of that point.
Roller Radius - (Measured in Meter) - The Roller Radius is the distance between the center and the point on the circumference of the roller.
Thickness after Rolling - (Measured in Meter) - Thickness after Rolling is the thickness of the workpiece after rolling and is denoted by the symbol h.
Angle made by given Point Roll Center and Normal - (Measured in Radian) - Angle made by given Point Roll Center and Normal is the angle made by the roller centre and the normal.

STEP 1: Convert Input(s) to Base Unit

Roller Radius: 102 Millimeter --> 0.102 Meter (Check conversion here)
Thickness after Rolling: 7.2 Millimeter --> 0.0072 Meter (Check conversion here)
Angle made by given Point Roll Center and Normal: 18.5 Degree --> 0.32288591161889 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_r = 2*sqrt(R/h_fi)*atan(sqrt(R/h_fi))*Θ --> 2*sqrt(0.102/0.0072)*atan(sqrt(0.102/0.0072))*0.32288591161889

Evaluating ... ...

H_r = 3.18678262503031

STEP 3: Convert Result to Output's Unit

3.18678262503031 --> No Conversion Required

FINAL ANSWER

3.18678262503031 ≈ 3.186783 <-- Factor H in Rolling Calculation

(Calculation completed in 00.004 seconds)

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< 10+ Rolling Analysis Calculators

Pressure Considering Rolling Similar to Plane-Strain-Upsetting Process

Go Pressure Acting while Rolling = Strip Width of Spiral Spring*(2*Flow Stress of Work Material)/sqrt(3)*(1+(Frictional Shear Factor*Roller Radius*pi/180*Bite Angle)/(2*(Thickness before Rolling+Thickness after Rolling)))*Roller Radius*pi/180*Bite Angle

Initial Stock Thickness given Pressure on Rolls

Go Initial Stock Thickness = (Mean Yield Shear Stress of Work Material*Thickness at given Point*exp(Friction Coefficient*(Factor H at Entry Point on Workpiece-Factor H in Rolling Calculation)))/Pressure Acting on Rolls

Factor H used in Rolling Calculations

Go Factor H in Rolling Calculation = 2*sqrt(Roller Radius/Thickness after Rolling)*atan(sqrt(Roller Radius/Thickness after Rolling))*Angle made by given Point Roll Center and Normal

Angle Subtended by Neutral Point

Go Angle subtended at Neutral Point = sqrt(Thickness after Rolling/Roller Radius)*tan(Factor H at Neutral Point/2*sqrt(Thickness after Rolling/Roller Radius))

Factor H at Neutral Point

Go Factor H at Neutral Point = (Factor H at Entry Point on Workpiece-ln(Thickness before Rolling/Thickness after Rolling)/Friction Coefficient)/2

Total Elongation of Stock

Go Total Stock or Workpiece Elongation = Initial Cross Sectional Area/Final Cross Sectional Area

Projected Area

Go Projected Area = Width*(Roller Radius*Change in Thickness)^0.5

Bite Angle

Go Bite Angle = acos(1-Height/(2*Roller Radius))

Maximum Reduction in Thickness Possible

Go Change in Thickness = Friction Coefficient^2*Roller Radius

Projected Length

Go Projected Length = (Roller Radius*Change in Thickness)^0.5

Factor H used in Rolling Calculations 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 Factor H used in Rolling Calculations?

Factor H used in Rolling Calculations calculator uses Factor H in Rolling Calculation = 2*sqrt(Roller Radius/Thickness after Rolling)*atan(sqrt(Roller Radius/Thickness after Rolling))*Angle made by given Point Roll Center and Normal to calculate the Factor H in Rolling Calculation, The Factor H used in Rolling calculations is is a factor calculated using radius of rolls, thickness of work and angle made by a point on work, roll center and normal. Factor H in Rolling Calculation is denoted by H_r symbol.

How to calculate Factor H used in Rolling Calculations using this online calculator? To use this online calculator for Factor H used in Rolling Calculations, enter Roller Radius (R), Thickness after Rolling (h_fi) & Angle made by given Point Roll Center and Normal (Θ) and hit the calculate button. Here is how the Factor H used in Rolling Calculations calculation can be explained with given input values -> 3.186783 = 2*sqrt(0.102/0.0072)*atan(sqrt(0.102/0.0072))*0.32288591161889.

FAQ

What is Factor H used in Rolling Calculations?

The Factor H used in Rolling calculations is is a factor calculated using radius of rolls, thickness of work and angle made by a point on work, roll center and normal and is represented as H_r = 2*sqrt(R/h_fi)*atan(sqrt(R/h_fi))*Θ or Factor H in Rolling Calculation = 2*sqrt(Roller Radius/Thickness after Rolling)*atan(sqrt(Roller Radius/Thickness after Rolling))*Angle made by given Point Roll Center and Normal. The Roller Radius is the distance between the center and the point on the circumference of the roller, Thickness after Rolling is the thickness of the workpiece after rolling and is denoted by the symbol h & Angle made by given Point Roll Center and Normal is the angle made by the roller centre and the normal.

How to calculate Factor H used in Rolling Calculations?

The Factor H used in Rolling calculations is is a factor calculated using radius of rolls, thickness of work and angle made by a point on work, roll center and normal is calculated using Factor H in Rolling Calculation = 2*sqrt(Roller Radius/Thickness after Rolling)*atan(sqrt(Roller Radius/Thickness after Rolling))*Angle made by given Point Roll Center and Normal. To calculate Factor H used in Rolling Calculations, you need Roller Radius (R), Thickness after Rolling (h_fi) & Angle made by given Point Roll Center and Normal (Θ). With our tool, you need to enter the respective value for Roller Radius, Thickness after Rolling & Angle made by given Point Roll Center and Normal 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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