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Factor H at Neutral Point Calculator

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Rolling Analysis Analysis at Entry Region Analysis at Exit Region

✖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.ⓘ Factor H at Entry Point on Workpiece [H_i]			+10% -10%
✖Thickness before Rolling is the thickness of sheet before rolling operation begins.ⓘ Thickness before Rolling [h_i]			+10% -10%
✖Thickness after Rolling is the final thickness of the workpiece after the rolling process.ⓘ Thickness after Rolling [h_fi]			+10% -10%
✖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.ⓘ Friction Coefficient in Rolling Analysis [μ_f]			+10% -10%

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

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Factor H at Neutral Point Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
H_n = (H_i-ln(h_i/h_fi)/μ_f)/2
This formula uses 1 Functions, 5 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

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.
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.
Thickness before Rolling - (Measured in Meter) - Thickness before Rolling is the thickness of sheet before rolling operation begins.
Thickness after Rolling - (Measured in Meter) - Thickness after Rolling is the final thickness of the workpiece after the rolling process.
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.

STEP 1: Convert Input(s) to Base Unit

Factor H at Entry Point on Workpiece: 3.36 --> No Conversion Required
Thickness before Rolling: 3.4 Millimeter --> 0.0034 Meter (Check conversion here)
Thickness after Rolling: 7.2 Millimeter --> 0.0072 Meter (Check conversion here)
Friction Coefficient in Rolling Analysis: 0.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_n = (H_i-ln(h_i/h_fi)/μ_f)/2 --> (3.36-ln(0.0034/0.0072)/0.4)/2

Evaluating ... ...

H_n = 2.61788199299987

STEP 3: Convert Result to Output's Unit

2.61788199299987 --> No Conversion Required

FINAL ANSWER

2.61788199299987 ≈ 2.617882 <-- Factor H at Neutral Point

(Calculation completed in 00.004 seconds)

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Created by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

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< Rolling Analysis Calculators

Angle Subtended by Neutral Point

LaTeX 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

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

Bite Angle

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

Projected Length

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

Factor H at Neutral Point Formula

LaTeX Go

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
H_n = (H_i-ln(h_i/h_fi)/μ_f)/2

What is Neutral point?

Neutral point is that point where there is no slip between the work piece and the rolls and frictional forces between material and rollers are in equilibrium. To identify the neutral plane position, the two expressions for the roll pressure p– and p+ should be equated as the pressures from both ends peak at the neutral plane. As at entry the material is pulled in and roller is moving faster than material, but at exit material is pulled back and roller is moving slower than material.

How to Calculate Factor H at Neutral Point?

Factor H at Neutral Point calculator 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 calculate 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 calculate Factor H at Neutral Point using this online calculator? To use this online calculator 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. Here is how the Factor H at Neutral Point calculation can be explained with given input values -> 2.617882 = (3.36-ln(0.0034/0.0072)/0.4)/2.

FAQ

What is 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 and is represented as H_n = (H_i-ln(h_i/h_fi)/μ_f)/2 or 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. 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, Thickness before Rolling is the thickness of sheet before rolling operation begins, Thickness after Rolling is the final thickness of the workpiece after the rolling process & 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.

How to calculate 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 is calculated using 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 calculate Factor H at Neutral Point, you need 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). With our tool, you need to enter the respective value for Factor H at Entry Point on Workpiece, Thickness before Rolling, Thickness after Rolling & Friction Coefficient in Rolling Analysis 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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