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Factor H at Neutral Point Formula

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Factor H at Neutral Point is used in rolling calculations to account for the interaction between the material, the rollers, and the deformation process. Check FAQs

H n = \frac{H i - \frac{\ln (\frac{h i}{h fi})}{μ f}}{2}

H_n - Factor H at Neutral Point?H_i - Factor H at Entry Point on Workpiece?h_i - Thickness before Rolling?h_fi - Thickness after Rolling?μ_f - Friction Coefficient in Rolling Analysis?

Factor H at Neutral Point Example

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Here is how the Factor H at Neutral Point equation looks like with Values.

Here is how the Factor H at Neutral Point equation looks like with Units.

Here is how the Factor H at Neutral Point equation looks like.

2.6179 = \frac{3.36 - \frac{\ln (\frac{3.4}{7.2})}{0.4}}{2}

2.6179 = \frac{3.36 - \frac{\ln (\frac{3.4mm}{7.2mm})}{0.4}}{2}

2.6179 = \frac{3.36 - \frac{\ln (\frac{3.4}{7.2})}{0.4}}{2}

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Factor H at Neutral Point Solution

Follow our step by step solution on how to calculate Factor H at Neutral Point?

FIRST Step Consider the formula

H n = \frac{H i - \frac{\ln (\frac{h i}{h fi})}{μ f}}{2}

Next Step Substitute values of Variables

∴

H n = \frac{3.36 - \frac{\ln (\frac{3.4mm}{7.2mm})}{0.4}}{2}

Next Step Convert Units

∴

H n = \frac{3.36 - \frac{\ln (\frac{0.0034m}{0.0072m})}{0.4}}{2}

Next Step Prepare to Evaluate

∴

H n = \frac{3.36 - \frac{\ln (\frac{0.0034}{0.0072})}{0.4}}{2}

Next Step Evaluate

∴

H n = 2.61788199299987

LAST Step Rounding Answer

∴

H n = 2.6179

Factor H at Neutral Point Formula Elements

Variables

Functions

Factor H at Neutral Point

Factor H at Neutral Point is used in rolling calculations to account for the interaction between the material, the rollers, and the deformation process.

Symbol: H_n

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Factor H at Neutral Point

Factor H at Entry Point on Workpiece

Factor H at Entry Point on Workpiece is used in rolling calculations at the entry point to account for the interaction between the material, the rollers, and the deformation process.

Symbol: H_i

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Factor H at Entry Point on Workpiece

Thickness before Rolling

Thickness before Rolling is the thickness of sheet before rolling operation begins.

Symbol: h_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness before Rolling

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

Friction Coefficient in Rolling Analysis

Friction Coefficient in Rolling Analysis (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.

Symbol: μ_f

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Friction Coefficient in Rolling Analysis

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(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 at Neutral Point?

Factor H at Neutral Point evaluator uses Factor H at Neutral Point = (Factor H at Entry Point on Workpiece-ln(Thickness before Rolling/Thickness after Rolling)/Friction Coefficient in Rolling Analysis)/2 to evaluate the Factor H at Neutral Point, factor H at neutral point refers to the depth of penetration of the workpiece into the roll gap at the point where the material experiences zero relative velocity with respect to the rolls. Factor H at Neutral Point is denoted by H_n symbol.

How to evaluate Factor H at Neutral Point using this online evaluator? To use this online evaluator for Factor H at Neutral Point, enter Factor H at Entry Point on Workpiece (H_i), Thickness before Rolling (h_i), Thickness after Rolling (h_fi) & Friction Coefficient in Rolling Analysis (μ_f) and hit the calculate button.

FAQs on Factor H at Neutral Point

What is the formula to find Factor H at Neutral Point?

The formula of Factor H at Neutral Point is expressed as Factor H at Neutral Point = (Factor H at Entry Point on Workpiece-ln(Thickness before Rolling/Thickness after Rolling)/Friction Coefficient in Rolling Analysis)/2. Here is an example- 2.617882 = (3.36-ln(0.0034/0.0072)/0.4)/2.

How to calculate Factor H at Neutral Point?

With Factor H at Entry Point on Workpiece (H_i), Thickness before Rolling (h_i), Thickness after Rolling (h_fi) & Friction Coefficient in Rolling Analysis (μ_f) we can find Factor H at Neutral Point using the formula - Factor H at Neutral Point = (Factor H at Entry Point on Workpiece-ln(Thickness before Rolling/Thickness after Rolling)/Friction Coefficient in Rolling Analysis)/2. This formula also uses Natural Logarithm (ln) function(s).

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Factor H at Neutral Point Formula

Factor H at Neutral Point Example

Factor H at Neutral Point Solution

Factor H at Neutral Point Formula Elements

Other formulas in Rolling Analysis category

How to Evaluate Factor H at Neutral Point?

FAQs on Factor H at Neutral Point

Variable Name