Factor H at Neutral Point Calculator

✖Factor H at Entry Point on Workpiece is a factor calculated using radius of rolls, thickness of work, bite angle.ⓘ Factor H at Entry Point on Workpiece [H_i]			+10% -10%
✖Thickness before Rolling is the thickness of sheet before rolling operation.ⓘ Thickness before Rolling [h_i]			+10% -10%
✖Thickness after Rolling is the thickness of the workpiece after rolling and is denoted by the symbol h.ⓘ Thickness after Rolling [h_fi]			+10% -10%
✖Friction Coefficient(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 [μ_friction]			+10% -10%

✖Factor H at Neutral Point is its value where the pressure is at its peak.ⓘ Factor H at Neutral Point [H_n]

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Formula

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Factor H at Neutral Point

Formula

`"H"_{"n"} = ("H"_{"i"}-ln("h"_{"i"}/"h"_{"fi"})/"μ"_{"friction"})/2`

Example

`"2.617882"=("3.36"-ln("3.4mm"/"7.2mm")/"0.4")/2`

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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)/2
H_n = (H_i-ln(h_i/h_fi)/μ_friction)/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 its value where the pressure is at its peak.
Factor H at Entry Point on Workpiece - Factor H at Entry Point on Workpiece is a factor calculated using radius of rolls, thickness of work, bite angle.
Thickness before Rolling - (Measured in Meter) - Thickness before Rolling is the thickness of sheet before rolling operation.
Thickness after Rolling - (Measured in Meter) - Thickness after Rolling is the thickness of the workpiece after rolling and is denoted by the symbol h.
Friction Coefficient - Friction Coefficient(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: 0.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_n = (H_i-ln(h_i/h_fi)/μ_friction)/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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University Institute of Technology RGPV (UIT - RGPV), Bhopal

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< 10+ Rolling Analysis Calculators

Pressure Considering Rolling Similar to Plane-Strain-Upsetting Process

Go Pressure Acting while Rolling = Strip Width of Spiral Spring*(2*Flow Stress of Work Material)/sqrt(3)*(1+(Frictional Shear Factor*Roller Radius*pi/180*Bite Angle)/(2*(Thickness before Rolling+Thickness after Rolling)))*Roller Radius*pi/180*Bite Angle

Initial Stock Thickness given Pressure on Rolls

Go Initial Stock Thickness = (Mean Yield Shear Stress of Work Material*Thickness at given Point*exp(Friction Coefficient*(Factor H at Entry Point on Workpiece-Factor H in Rolling Calculation)))/Pressure Acting on Rolls

Factor H used in Rolling Calculations

Go Factor H in Rolling Calculation = 2*sqrt(Roller Radius/Thickness after Rolling)*atan(sqrt(Roller Radius/Thickness after Rolling))*Angle made by given Point Roll Center and Normal

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))

Factor H at Neutral Point

Go Factor H at Neutral Point = (Factor H at Entry Point on Workpiece-ln(Thickness before Rolling/Thickness after Rolling)/Friction Coefficient)/2

Total Elongation of Stock

Go Total Stock or Workpiece Elongation = Initial Cross Sectional Area/Final Cross Sectional Area

Projected Area

Go Projected Area = Width*(Roller Radius*Change in Thickness)^0.5

Bite Angle

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

Maximum Reduction in Thickness Possible

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

Projected Length

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

Factor H at Neutral Point Formula

Factor H at Neutral Point = (Factor H at Entry Point on Workpiece-ln(Thickness before Rolling/Thickness after Rolling)/Friction Coefficient)/2
H_n = (H_i-ln(h_i/h_fi)/μ_friction)/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)/2 to calculate the Factor H at Neutral Point, Factor H at Neutral point is the value of the H which further helps to locate the position of neutral point. 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 (μ_friction) 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 is the value of the H which further helps to locate the position of neutral point and is represented as H_n = (H_i-ln(h_i/h_fi)/μ_friction)/2 or Factor H at Neutral Point = (Factor H at Entry Point on Workpiece-ln(Thickness before Rolling/Thickness after Rolling)/Friction Coefficient)/2. Factor H at Entry Point on Workpiece is a factor calculated using radius of rolls, thickness of work, bite angle, Thickness before Rolling is the thickness of sheet before rolling operation, Thickness after Rolling is the thickness of the workpiece after rolling and is denoted by the symbol h & Friction Coefficient(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 is the value of the H which further helps to locate the position of neutral point is calculated using Factor H at Neutral Point = (Factor H at Entry Point on Workpiece-ln(Thickness before Rolling/Thickness after Rolling)/Friction Coefficient)/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 (μ_friction). 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 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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