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 projected onto a surface or plane when viewed from a certain perspective.
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 matter.
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)

Credits

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

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, The Projected Length formula is defined as the length of stock in contact with roller, projected upward on roller surface. It is calculated as square root of product of change in thickness and radius of roller. 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?
The Projected Length formula is defined as the length of stock in contact with roller, projected upward on roller surface. It is calculated as square root of product of change in thickness and radius of roller 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 matter.
How to calculate Projected Length?
The Projected Length formula is defined as the length of stock in contact with roller, projected upward on roller surface. It is calculated as square root of product of change in thickness and radius of roller 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.
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