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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

H r = 2 \cdot \sqrt{\frac{R}{h fi}} \cdot a \tan (\sqrt{\frac{R}{h fi}}) \cdot Θ r

H_r - Factor H in Rolling Calculation?R - Roller Radius?h_fi - Thickness after Rolling?Θ_r - Angle made by Point Roll Center and Normal?

Factor H used in Rolling Calculations Example

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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.

3.1868 = 2 \cdot \sqrt{\frac{102}{7.2}} \cdot a \tan (\sqrt{\frac{102}{7.2}}) \cdot 18.5

3.1868 = 2 \cdot \sqrt{\frac{102mm}{7.2mm}} \cdot a \tan (\sqrt{\frac{102mm}{7.2mm}}) \cdot 18.5°

3.1868 = 2 \cdot \sqrt{\frac{102}{7.2}} \cdot a \tan (\sqrt{\frac{102}{7.2}}) \cdot 18.5

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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

H r = 2 \cdot \sqrt{\frac{R}{h fi}} \cdot a \tan (\sqrt{\frac{R}{h fi}}) \cdot Θ r

Next Step Substitute values of Variables

∴

H r = 2 \cdot \sqrt{\frac{102mm}{7.2mm}} \cdot a \tan (\sqrt{\frac{102mm}{7.2mm}}) \cdot 18.5°

Next Step Convert Units

∴

H r = 2 \cdot \sqrt{\frac{0.102m}{0.0072m}} \cdot a \tan (\sqrt{\frac{0.102m}{0.0072m}}) \cdot 0.3229rad

Next Step Prepare to Evaluate

∴

H r = 2 \cdot \sqrt{\frac{0.102}{0.0072}} \cdot a \tan (\sqrt{\frac{0.102}{0.0072}}) \cdot 0.3229

Next Step Evaluate

∴

H r = 3.18678262503031

LAST Step Rounding Answer

∴

H r = 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: H_r

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Factor H in Rolling Calculation

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.

Formulas to find Roller Radius

Thickness after Rolling

Thickness after Rolling is the final thickness of the workpiece after the rolling process.

Symbol: h_fi

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness after Rolling

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: Θ_r

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle made by Point Roll Center and Normal

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

α b = a \cos (1 - \frac{h}{2 \cdot R})

Go Maximum Reduction in Thickness Possible

Δt = {μ f}^{2} \cdot R

Go Projected Length

L = {(R \cdot Δt)}^{0.5}

Go Angle Subtended by Neutral Point

φ n = \sqrt{\frac{h fi}{R}} \cdot \tan (\frac{H n}{2} \cdot \sqrt{\frac{h fi}{R}})

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 H_r 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 (h_fi) & Angle made by Point Roll Center and Normal (Θ_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 (h_fi) & Angle made by Point Roll Center and Normal (Θ_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 Tangent (tan)Inverse Tan (atan), Square Root (sqrt) function(s).

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