Maximum Reduction in Thickness Possible Calculator

✖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%
✖The Roller Radius is the distance between the center and the point on the circumference of the roller.ⓘ Roller Radius [R]			+10% -10%

✖Change in Thickness can be defined as the difference between final and initial thickness of matter.ⓘ Maximum Reduction in Thickness Possible [Δt]

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Formula

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Maximum Reduction in Thickness Possible

Formula

`"Δt" = "μ"_{"friction"}^2*"R"`

Example

`"16.32mm"=("0.4")^2*"102mm"`

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Maximum Reduction in Thickness Possible Solution

STEP 0: Pre-Calculation Summary

Formula Used

Change in Thickness = Friction Coefficient^2*Roller Radius
Δt = μ_friction^2*R
This formula uses 3 Variables

Variables Used

Change in Thickness - (Measured in Meter) - Change in Thickness can be defined as the difference between final and initial thickness of matter.
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.
Roller Radius - (Measured in Meter) - The Roller Radius is the distance between the center and the point on the circumference of the roller.

STEP 1: Convert Input(s) to Base Unit

Friction Coefficient: 0.4 --> No Conversion Required
Roller Radius: 102 Millimeter --> 0.102 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δt = μ_friction^2*R --> 0.4^2*0.102

Evaluating ... ...

Δt = 0.01632

STEP 3: Convert Result to Output's Unit

0.01632 Meter -->16.32 Millimeter (Check conversion here)

FINAL ANSWER

16.32 Millimeter <-- Change in Thickness

(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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National Institute Of Technology (NIT), Hamirpur

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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

Maximum Reduction in Thickness Possible Formula

Change in Thickness = Friction Coefficient^2*Roller Radius
Δt = μ_friction^2*R

What is the Maximum reduction in thickness possible in a single pass through rollers?

Maximum reduction in stock thickness after single pass through a roller with given radius/diameter, is the amount of change in thickness possible theoretically.

How to Calculate Maximum Reduction in Thickness Possible?

Maximum Reduction in Thickness Possible calculator uses Change in Thickness = Friction Coefficient^2*Roller Radius to calculate the Change in Thickness, The Maximum Reduction in Thickness Possible formula is the maximum change in thickness possible for the stock after single pass through rollers. Change in Thickness is denoted by Δt symbol.

How to calculate Maximum Reduction in Thickness Possible using this online calculator? To use this online calculator for Maximum Reduction in Thickness Possible, enter Friction Coefficient (μ_friction) & Roller Radius (R) and hit the calculate button. Here is how the Maximum Reduction in Thickness Possible calculation can be explained with given input values -> 16320 = 0.4^2*0.102.

FAQ

What is Maximum Reduction in Thickness Possible?

The Maximum Reduction in Thickness Possible formula is the maximum change in thickness possible for the stock after single pass through rollers and is represented as Δt = μ_friction^2*R or Change in Thickness = Friction Coefficient^2*Roller Radius. 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 & The Roller Radius is the distance between the center and the point on the circumference of the roller.

How to calculate Maximum Reduction in Thickness Possible?

The Maximum Reduction in Thickness Possible formula is the maximum change in thickness possible for the stock after single pass through rollers is calculated using Change in Thickness = Friction Coefficient^2*Roller Radius. To calculate Maximum Reduction in Thickness Possible, you need Friction Coefficient (μ_friction) & Roller Radius (R). With our tool, you need to enter the respective value for Friction Coefficient & Roller Radius 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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