Projected Area Calculator

✖Width refers to the measurement of the distance between two parallel sides of an object or the horizontal extent of an object from side to side.ⓘ Width [w]			+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 the workpiece being rolled.ⓘ Change in Thickness [Δt]			+10% -10%

✖the projected area refers to the area that interacts with the rolls during the rolling process.ⓘ Projected Area [A]

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Formula

✖

Projected Area

Formula

`"A" = "w"*("R"*"Δt")^0.5`

Example

`"1.224cm²"="3mm"*("102mm"*"16.32mm")^0.5`

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Projected Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Projected Area = Width*(Roller Radius*Change in Thickness)^0.5
A = w*(R*Δt)^0.5
This formula uses 4 Variables

Variables Used

Projected Area - (Measured in Square Meter) - the projected area refers to the area that interacts with the rolls during the rolling process.
Width - (Measured in Meter) - Width refers to the measurement of the distance between two parallel sides of an object or the horizontal extent of an object from side to side.
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

Width: 3 Millimeter --> 0.003 Meter (Check conversion here)
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

A = w*(R*Δt)^0.5 --> 0.003*(0.102*0.01632)^0.5

Evaluating ... ...

A = 0.0001224

STEP 3: Convert Result to Output's Unit

0.0001224 Square Meter -->1.224 Square Centimeter (Check conversion here)

FINAL ANSWER

1.224 Square Centimeter <-- Projected Area

(Calculation completed in 00.009 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 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 Area Formula

Projected Area = Width*(Roller Radius*Change in Thickness)^0.5
A = w*(R*Δt)^0.5

How to calculate the Projected area of stock on a single roller?

The Projected Area formula is defined as the product of width of stock or work material and the projected length of work on roller. Here the width taken is of either stock or if not given then that of rolls can be taken. This formula calculates projected area on single/one side of rollers.

How to Calculate Projected Area?

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

How to calculate Projected Area using this online calculator? To use this online calculator for Projected Area, enter Width (w), Roller Radius (R) & Change in Thickness (Δt) and hit the calculate button. Here is how the Projected Area calculation can be explained with given input values -> 12240 = 0.003*(0.102*0.01632)^0.5.

FAQ

What is Projected Area?

the projected area typically refers to the cross-sectional area of the material being rolled as it contacts the rolls. This area is projected onto a plane perpendicular to the direction of rolling and is represented as A = w*(R*Δt)^0.5 or Projected Area = Width*(Roller Radius*Change in Thickness)^0.5. Width refers to the measurement of the distance between two parallel sides of an object or the horizontal extent of an object from side to side, 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 Area?

the projected area typically refers to the cross-sectional area of the material being rolled as it contacts the rolls. This area is projected onto a plane perpendicular to the direction of rolling is calculated using Projected Area = Width*(Roller Radius*Change in Thickness)^0.5. To calculate Projected Area, you need Width (w), Roller Radius (R) & Change in Thickness (Δt). With our tool, you need to enter the respective value for Width, 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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