Total Elongation of Stock Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Stock or Workpiece Elongation = Initial Cross Sectional Area/Final Cross Sectional Area
E = Ai/Af
This formula uses 3 Variables
Variables Used
Total Stock or Workpiece Elongation - Total Stock or Workpiece Elongation is the length added to it after completion of operation performed on it.
Initial Cross Sectional Area - (Measured in Square Meter) - The Initial Cross Sectional Area is the area at the start of operation of a portion of material exposed after cutting it transversely.
Final Cross Sectional Area - (Measured in Square Meter) - The Final Cross Sectional Area is the area at the end of operation of a portion of material exposed after cutting it transversely.
STEP 1: Convert Input(s) to Base Unit
Initial Cross Sectional Area: 60 Square Centimeter --> 0.006 Square Meter (Check conversion here)
Final Cross Sectional Area: 9 Square Centimeter --> 0.0009 Square Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
E = Ai/Af --> 0.006/0.0009
Evaluating ... ...
E = 6.66666666666667
STEP 3: Convert Result to Output's Unit
6.66666666666667 --> No Conversion Required
FINAL ANSWER
6.66666666666667 6.666667 <-- Total Stock or Workpiece Elongation
(Calculation completed in 00.012 seconds)

Credits

Created by Rajat Vishwakarma
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

Total Elongation of Stock Formula

Total Stock or Workpiece Elongation = Initial Cross Sectional Area/Final Cross Sectional Area
E = Ai/Af

How to find Total Elongation after Rolling Process?

Total elongation means the increase in dimensions of the stock after the Rolling process. It can be found by dividing the initial area of the cross section by the final area of cross section of the rolled product. The elongation can be defined as total for all the passes or that for each pass separately.

How to Calculate Total Elongation of Stock?

Total Elongation of Stock calculator uses Total Stock or Workpiece Elongation = Initial Cross Sectional Area/Final Cross Sectional Area to calculate the Total Stock or Workpiece Elongation, The Total Elongation of Stock can be calculated by dividing the initial area of the cross-section by the final area of the cross-section of the rolled product. Total Stock or Workpiece Elongation is denoted by E symbol.

How to calculate Total Elongation of Stock using this online calculator? To use this online calculator for Total Elongation of Stock, enter Initial Cross Sectional Area (Ai) & Final Cross Sectional Area (Af) and hit the calculate button. Here is how the Total Elongation of Stock calculation can be explained with given input values -> 6.666667 = 0.006/0.0009.

FAQ

What is Total Elongation of Stock?
The Total Elongation of Stock can be calculated by dividing the initial area of the cross-section by the final area of the cross-section of the rolled product and is represented as E = Ai/Af or Total Stock or Workpiece Elongation = Initial Cross Sectional Area/Final Cross Sectional Area. The Initial Cross Sectional Area is the area at the start of operation of a portion of material exposed after cutting it transversely & The Final Cross Sectional Area is the area at the end of operation of a portion of material exposed after cutting it transversely.
How to calculate Total Elongation of Stock?
The Total Elongation of Stock can be calculated by dividing the initial area of the cross-section by the final area of the cross-section of the rolled product is calculated using Total Stock or Workpiece Elongation = Initial Cross Sectional Area/Final Cross Sectional Area. To calculate Total Elongation of Stock, you need Initial Cross Sectional Area (Ai) & Final Cross Sectional Area (Af). With our tool, you need to enter the respective value for Initial Cross Sectional Area & Final Cross Sectional Area 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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