Projected Length Calculator

✖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 the workpiece being rolled.ⓘ Change in Thickness [Δt]			+10% -10%

✖Projected Length of an object is a length for which the roller is in contact with the material.ⓘ Projected Length [L]

⎘ Copy

👎

Formula

✖

Projected Length

Formula

`"L" = ("R"*"Δt")^0.5`

Example

`"40.8mm"=("102mm"*"16.32mm")^0.5`

Calculator

LaTeX

Reset

👍

Download Rolling Process Formulas PDF PDF Image

Projected Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Projected Length = (Roller Radius*Change in Thickness)^0.5
L = (R*Δt)^0.5
This formula uses 3 Variables

Variables Used

Projected Length - (Measured in Meter) - Projected Length of an object is a length for which the roller is in contact with the material.
Roller Radius - (Measured in Meter) - The Roller Radius is the distance between the center and the point on the circumference of the roller.
Change in Thickness - (Measured in Meter) - Change in Thickness can be defined as the difference between final and initial thickness of the workpiece being rolled.

STEP 1: Convert Input(s) to Base Unit

Roller Radius: 102 Millimeter --> 0.102 Meter (Check conversion here)
Change in Thickness: 16.32 Millimeter --> 0.01632 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = (R*Δt)^0.5 --> (0.102*0.01632)^0.5

Evaluating ... ...

L = 0.0408

STEP 3: Convert Result to Output's Unit

0.0408 Meter -->40.8 Millimeter (Check conversion here)

FINAL ANSWER

40.8 Millimeter <-- Projected Length

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Production Engineering » Rolling Process » Rolling Analysis » Projected Length

Credits

Created by Rajat Vishwakarma

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

Rajat Vishwakarma has created this Calculator and 400+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 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 in Rolling Analysis*(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 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 in Rolling Analysis)/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

Maximum Reduction in Thickness Possible

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

Bite Angle

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

Projected Length

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

Projected Length Formula

Projected Length = (Roller Radius*Change in Thickness)^0.5
L = (R*Δt)^0.5

How to Calculate Projected Length or Roll contact length?

Projected length is also known as Roll contact Length. It is the length of stock in contact with the roller projected on the roller surface. It can be calculated by taking into account the radius of roller and change in thickness.

How to Calculate Projected Length?

Projected Length calculator uses Projected Length = (Roller Radius*Change in Thickness)^0.5 to calculate the Projected Length, projected length typically refers to the length of the material being rolled as it contacts the rolls. This length is projected onto a plane perpendicular to the direction of rolling. Projected Length is denoted by L symbol.

How to calculate Projected Length using this online calculator? To use this online calculator for Projected Length, enter Roller Radius (R) & Change in Thickness (Δt) and hit the calculate button. Here is how the Projected Length calculation can be explained with given input values -> 40800 = (0.102*0.01632)^0.5.

FAQ

What is Projected Length?

projected length typically refers to the length of the material being rolled as it contacts the rolls. This length is projected onto a plane perpendicular to the direction of rolling and is represented as L = (R*Δt)^0.5 or Projected Length = (Roller Radius*Change in Thickness)^0.5. The Roller Radius is the distance between the center and the point on the circumference of the roller & Change in Thickness can be defined as the difference between final and initial thickness of the workpiece being rolled.

How to calculate Projected Length?

projected length typically refers to the length of the material being rolled as it contacts the rolls. This length is projected onto a plane perpendicular to the direction of rolling is calculated using Projected Length = (Roller Radius*Change in Thickness)^0.5. To calculate Projected Length, you need Roller Radius (R) & Change in Thickness (Δt). With our tool, you need to enter the respective value for Roller Radius & Change in Thickness and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search