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Factor H used in Rolling Calculations Calculator

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Rolling Analysis Analysis at Entry Region Analysis at Exit Region

✖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 final thickness of the workpiece after the rolling process.ⓘ Thickness after Rolling [h_fi]			+10% -10%
✖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.ⓘ Angle made by Point Roll Center and Normal [Θ_r]			+10% -10%

✖Factor H in Rolling Calculation is used in rolling calculations to account for the interaction between the material, the rollers, and the deformation process.ⓘ 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 \cdot \sqrt{\frac{R}{h fi}} \cdot a \tan (\sqrt{\frac{R}{h fi}}) \cdot Θ r

Example

3.186783 = 2 \cdot \sqrt{\frac{102 mm}{7.2 mm}} \cdot a \tan (\sqrt{\frac{102 mm}{7.2 mm}}) \cdot 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 Point Roll Center and Normal
H_r = 2*sqrt(R/h_fi)*atan(sqrt(R/h_fi))*Θ_r
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 used in rolling calculations to account for the interaction between the material, the rollers, and the deformation process.
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 final thickness of the workpiece after the rolling process.
Angle made by Point Roll Center and Normal - (Measured in Radian) - 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.

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 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_r --> 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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< Rolling Analysis Calculators

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))

Maximum Reduction in Thickness Possible

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

Bite Angle

Go Bite Angle = acos(1-Height/(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 Point Roll Center and Normal to calculate 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 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 Point Roll Center and Normal (Θ_r) 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?

Factor H used in Rolling Calculations refers to the depth of penetration of the workpiece into the roll gap in the rolling process and is represented as H_r = 2*sqrt(R/h_fi)*atan(sqrt(R/h_fi))*Θ_r or 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. The Roller Radius is the distance between the center and the point on the circumference of the roller, Thickness after Rolling is the final thickness of the workpiece after the rolling process & 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.

How to calculate Factor H used in Rolling Calculations?

Factor H used in Rolling Calculations refers to the depth of penetration of the workpiece into the roll gap in the rolling process 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 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 Point Roll Center and Normal (Θ_r). With our tool, you need to enter the respective value for Roller Radius, Thickness after Rolling & Angle made by 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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