Factor H used in Rolling Calculations Formula

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Factor H in Rolling Calculation is used in rolling calculations to account for the interaction between the material, the rollers, and the deformation process. Check FAQs
Hr=2Rhfiatan(Rhfi)Θr
Hr - Factor H in Rolling Calculation?R - Roller Radius?hfi - Thickness after Rolling?Θr - Angle made by Point Roll Center and Normal?

Factor H used in Rolling Calculations Example

With values
With units
Only example

Here is how the Factor H used in Rolling Calculations equation looks like with Values.

Here is how the Factor H used in Rolling Calculations equation looks like with Units.

Here is how the Factor H used in Rolling Calculations equation looks like.

3.1868Edit=2102Edit7.2Editatan(102Edit7.2Edit)18.5Edit
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Factor H used in Rolling Calculations Solution

Follow our step by step solution on how to calculate Factor H used in Rolling Calculations?

FIRST Step Consider the formula
Hr=2Rhfiatan(Rhfi)Θr
Next Step Substitute values of Variables
Hr=2102mm7.2mmatan(102mm7.2mm)18.5°
Next Step Convert Units
Hr=20.102m0.0072matan(0.102m0.0072m)0.3229rad
Next Step Prepare to Evaluate
Hr=20.1020.0072atan(0.1020.0072)0.3229
Next Step Evaluate
Hr=3.18678262503031
LAST Step Rounding Answer
Hr=3.1868

Factor H used in Rolling Calculations Formula Elements

Variables
Functions
Factor H in Rolling Calculation
Factor H in Rolling Calculation is used in rolling calculations to account for the interaction between the material, the rollers, and the deformation process.
Symbol: Hr
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Roller Radius
The Roller Radius is the distance between the center and the point on the circumference of the roller.
Symbol: R
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Thickness after Rolling
Thickness after Rolling is the final thickness of the workpiece after the rolling process.
Symbol: hfi
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Angle made by Point Roll Center and Normal
Angle made by Point Roll Center and Normal refers to the angle between the roller centerline and the normal (vertical) to the surface of the material being rolled.
Symbol: Θr
Measurement: AngleUnit: °
Note: Value can be positive or negative.
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.
Syntax: 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.
Syntax: 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.
Syntax: sqrt(Number)

Other formulas in Rolling Analysis category

​Go Bite Angle
αb=acos(1-h2R)
​Go Maximum Reduction in Thickness Possible
Δt=μf2R
​Go Projected Length
L=(RΔt)0.5
​Go Angle Subtended by Neutral Point
φn=hfiRtan(Hn2hfiR)

How to Evaluate Factor H used in Rolling Calculations?

Factor H used in Rolling Calculations evaluator uses Factor H in Rolling Calculation = 2*sqrt(Roller Radius/Thickness after Rolling)*atan(sqrt(Roller Radius/Thickness after Rolling))*Angle made by Point Roll Center and Normal to evaluate the Factor H in Rolling Calculation, Factor H used in Rolling Calculations refers to the depth of penetration of the workpiece into the roll gap in the rolling process. Factor H in Rolling Calculation is denoted by Hr symbol.

How to evaluate Factor H used in Rolling Calculations using this online evaluator? To use this online evaluator for Factor H used in Rolling Calculations, enter Roller Radius (R), Thickness after Rolling (hfi) & Angle made by Point Roll Center and Normal r) and hit the calculate button.

FAQs on Factor H used in Rolling Calculations

What is the formula to find Factor H used in Rolling Calculations?
The formula of Factor H used in Rolling Calculations is expressed as Factor H in Rolling Calculation = 2*sqrt(Roller Radius/Thickness after Rolling)*atan(sqrt(Roller Radius/Thickness after Rolling))*Angle made by Point Roll Center and Normal. Here is an example- 3.186783 = 2*sqrt(0.102/0.0072)*atan(sqrt(0.102/0.0072))*0.32288591161889.
How to calculate Factor H used in Rolling Calculations?
With Roller Radius (R), Thickness after Rolling (hfi) & Angle made by Point Roll Center and Normal r) we can find Factor H used in Rolling Calculations using the formula - Factor H in Rolling Calculation = 2*sqrt(Roller Radius/Thickness after Rolling)*atan(sqrt(Roller Radius/Thickness after Rolling))*Angle made by Point Roll Center and Normal. This formula also uses TangentInverse tan, Square Root Function function(s).
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