Mean Diameter of Shell after Ironing Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mean Shell Diameter after Ironing = Ironing Force/(pi*Average Tensile Strength Before & After Ironing*Shell Thickness after Ironing*ln(Shell Thickness before Ironing/Shell Thickness after Ironing))
d1 = F/(pi*Savg*tf*ln(t0/tf))
This formula uses 1 Constants, 1 Functions, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)
Variables Used
Mean Shell Diameter after Ironing - (Measured in Meter) - Mean Shell Diameter after Ironing is the average diameter of the formed metal part after it has undergone shaping processes like ironing.
Ironing Force - (Measured in Newton) - Ironing Force is defined as the force exerted on a material during a metal working process known as ironing, typically used in the production of cans or containers, to thin and elongate the material.
Average Tensile Strength Before & After Ironing - (Measured in Pascal) - Average Tensile Strength Before & After Ironing refers to the average amount of tensile force that a material can withstand per unit area before breaking or undergoing permanent deformation.
Shell Thickness after Ironing - (Measured in Meter) - Shell Thickness after Ironing is the final thickness of the metal shell or cup after it has undergone the ironing process.
Shell Thickness before Ironing - (Measured in Meter) - Shell Thickness before Ironing is defined as initial thickness of the metal shell or wall of a cylindrical workpiece before it undergoes the ironing process.
STEP 1: Convert Input(s) to Base Unit
Ironing Force: 8.01 Newton --> 8.01 Newton No Conversion Required
Average Tensile Strength Before & After Ironing: 0.181886 Newton per Square Millimeter --> 181886 Pascal (Check conversion ​here)
Shell Thickness after Ironing: 13 Millimeter --> 0.013 Meter (Check conversion ​here)
Shell Thickness before Ironing: 20.01 Millimeter --> 0.02001 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d1 = F/(pi*Savg*tf*ln(t0/tf)) --> 8.01/(pi*181886*0.013*ln(0.02001/0.013))
Evaluating ... ...
d1 = 0.0025002180689994
STEP 3: Convert Result to Output's Unit
0.0025002180689994 Meter -->2.5002180689994 Millimeter (Check conversion ​here)
FINAL ANSWER
2.5002180689994 2.500218 Millimeter <-- Mean Shell Diameter after Ironing
(Calculation completed in 00.021 seconds)

Credits

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Created by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
Rajat Vishwakarma has created this Calculator and 400+ more calculators!
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Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has verified this Calculator and 2500+ more calculators!

Ironing Operation Calculators

Thickness of Shell before Ironing
​ LaTeX ​ Go Shell Thickness before Ironing = Shell Thickness after Ironing*exp(Ironing Force/(pi*Mean Shell Diameter after Ironing*Shell Thickness after Ironing*Average Tensile Strength Before & After Ironing))
Average of Tensile Strength before and after Ironing
​ LaTeX ​ Go Average Tensile Strength Before & After Ironing = Ironing Force/(pi*Mean Shell Diameter after Ironing*Shell Thickness after Ironing*ln(Shell Thickness before Ironing/Shell Thickness after Ironing))
Mean Diameter of Shell after Ironing
​ LaTeX ​ Go Mean Shell Diameter after Ironing = Ironing Force/(pi*Average Tensile Strength Before & After Ironing*Shell Thickness after Ironing*ln(Shell Thickness before Ironing/Shell Thickness after Ironing))
Ironing Force after Drawing
​ LaTeX ​ Go Ironing Force = pi*Mean Shell Diameter after Ironing*Shell Thickness after Ironing*Average Tensile Strength Before & After Ironing*ln(Shell Thickness before Ironing/Shell Thickness after Ironing)

Mean Diameter of Shell after Ironing Formula

​LaTeX ​Go
Mean Shell Diameter after Ironing = Ironing Force/(pi*Average Tensile Strength Before & After Ironing*Shell Thickness after Ironing*ln(Shell Thickness before Ironing/Shell Thickness after Ironing))
d1 = F/(pi*Savg*tf*ln(t0/tf))

What is ironing force?

Ironing Force after drawing is the force used to reduce the wall thickness of the cup after drawing. In ironing, the objective is only to reduce the wall thickness of the cup, and hence no blank holding is required because the punch is fitted closely inside the cup.

How to Calculate Mean Diameter of Shell after Ironing?

Mean Diameter of Shell after Ironing calculator uses Mean Shell Diameter after Ironing = Ironing Force/(pi*Average Tensile Strength Before & After Ironing*Shell Thickness after Ironing*ln(Shell Thickness before Ironing/Shell Thickness after Ironing)) to calculate the Mean Shell Diameter after Ironing, Mean Diameter of Shell after Ironing is defined as the average of size of or diameter of the shell after the ironing process and it is calculated as the ironing force divided by the product of pi (π), the average tensile strength of the sheet metal, the thickness of the shell after ironing, and the natural logarithm of the ratio of the thickness of the shell before ironing to the thickness of the shell after ironing. Mean Shell Diameter after Ironing is denoted by d1 symbol.

How to calculate Mean Diameter of Shell after Ironing using this online calculator? To use this online calculator for Mean Diameter of Shell after Ironing, enter Ironing Force (F), Average Tensile Strength Before & After Ironing (Savg), Shell Thickness after Ironing (tf) & Shell Thickness before Ironing (t0) and hit the calculate button. Here is how the Mean Diameter of Shell after Ironing calculation can be explained with given input values -> 2500.218 = 8.01/(pi*181886*0.013*ln(0.02001/0.013)).

FAQ

What is Mean Diameter of Shell after Ironing?
Mean Diameter of Shell after Ironing is defined as the average of size of or diameter of the shell after the ironing process and it is calculated as the ironing force divided by the product of pi (π), the average tensile strength of the sheet metal, the thickness of the shell after ironing, and the natural logarithm of the ratio of the thickness of the shell before ironing to the thickness of the shell after ironing and is represented as d1 = F/(pi*Savg*tf*ln(t0/tf)) or Mean Shell Diameter after Ironing = Ironing Force/(pi*Average Tensile Strength Before & After Ironing*Shell Thickness after Ironing*ln(Shell Thickness before Ironing/Shell Thickness after Ironing)). Ironing Force is defined as the force exerted on a material during a metal working process known as ironing, typically used in the production of cans or containers, to thin and elongate the material, Average Tensile Strength Before & After Ironing refers to the average amount of tensile force that a material can withstand per unit area before breaking or undergoing permanent deformation, Shell Thickness after Ironing is the final thickness of the metal shell or cup after it has undergone the ironing process & Shell Thickness before Ironing is defined as initial thickness of the metal shell or wall of a cylindrical workpiece before it undergoes the ironing process.
How to calculate Mean Diameter of Shell after Ironing?
Mean Diameter of Shell after Ironing is defined as the average of size of or diameter of the shell after the ironing process and it is calculated as the ironing force divided by the product of pi (π), the average tensile strength of the sheet metal, the thickness of the shell after ironing, and the natural logarithm of the ratio of the thickness of the shell before ironing to the thickness of the shell after ironing is calculated using Mean Shell Diameter after Ironing = Ironing Force/(pi*Average Tensile Strength Before & After Ironing*Shell Thickness after Ironing*ln(Shell Thickness before Ironing/Shell Thickness after Ironing)). To calculate Mean Diameter of Shell after Ironing, you need Ironing Force (F), Average Tensile Strength Before & After Ironing (Savg), Shell Thickness after Ironing (tf) & Shell Thickness before Ironing (t0). With our tool, you need to enter the respective value for Ironing Force, Average Tensile Strength Before & After Ironing, Shell Thickness after Ironing & Shell Thickness before Ironing 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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