Thickness of Shell before Ironing Calculator

✖Shell Thickness Shell after Ironing refers to the final thickness of the metal shell or cup after it has undergone the ironing process.ⓘ Shell Thickness Shell after Ironing [t_f]			+10% -10%
✖Ironing force is the force applied to reduce the wall thickness of the cup.ⓘ Ironing Force [F]			+10% -10%
✖Mean Shell Diameter after Ironing is the mean taken of inner and outer diameter.ⓘ Mean Shell Diameter after Ironing [d₁]			+10% -10%
✖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.ⓘ Average Tensile Strength before & after Ironing [S_avg]			+10% -10%

✖Shell Thickness before Ironing is defined as the thickness of shell walls before ironing and after drawing.ⓘ Thickness of Shell before Ironing [t₀]

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Formula

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Thickness of Shell before Ironing

Formula

`"t"_{"0"} = "t"_{"f"}*exp("F"/(pi*"d"_{"1"}*"t"_{"f"}*"S"_{"avg"}))`

Example

`"20.01075mm"="13mm"*exp("8.01N"/(pi*"2.5mm"*"13mm"*"0.181886N/mm²"))`

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Thickness of Shell before Ironing Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shell Thickness before Ironing = Shell Thickness Shell after Ironing*exp(Ironing Force/(pi*Mean Shell Diameter after Ironing*Shell Thickness Shell after Ironing*Average Tensile Strength before & after Ironing))
t₀ = t_f*exp(F/(pi*d₁*t_f*S_avg))
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Shell Thickness before Ironing - (Measured in Meter) - Shell Thickness before Ironing is defined as the thickness of shell walls before ironing and after drawing.
Shell Thickness Shell after Ironing - (Measured in Meter) - Shell Thickness Shell after Ironing refers to the final thickness of the metal shell or cup after it has undergone the ironing process.
Ironing Force - (Measured in Newton) - Ironing force is the force applied to reduce the wall thickness of the cup.
Mean Shell Diameter after Ironing - (Measured in Meter) - Mean Shell Diameter after Ironing is the mean taken of inner and outer diameter.
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.

STEP 1: Convert Input(s) to Base Unit

Shell Thickness Shell after Ironing: 13 Millimeter --> 0.013 Meter (Check conversion here)
Ironing Force: 8.01 Newton --> 8.01 Newton No Conversion Required
Mean Shell Diameter after Ironing: 2.5 Millimeter --> 0.0025 Meter (Check conversion here)
Average Tensile Strength before & after Ironing: 0.181886 Newton per Square Millimeter --> 181886 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t₀ = t_f*exp(F/(pi*d₁*t_f*S_avg)) --> 0.013*exp(8.01/(pi*0.0025*0.013*181886))

Evaluating ... ...

t₀ = 0.0200107527856111

STEP 3: Convert Result to Output's Unit

0.0200107527856111 Meter -->20.0107527856111 Millimeter (Check conversion here)

FINAL ANSWER

20.0107527856111 ≈ 20.01075 Millimeter <-- Shell Thickness before Ironing

(Calculation completed in 00.004 seconds)

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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

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< 4 Ironing Operation Calculators

Thickness of Shell before Ironing

Go Shell Thickness before Ironing = Shell Thickness Shell after Ironing*exp(Ironing Force/(pi*Mean Shell Diameter after Ironing*Shell Thickness Shell after Ironing*Average Tensile Strength before & after Ironing))

Average of Tensile Strength before and after Ironing

Go Average Tensile Strength before & after Ironing = Ironing Force/(pi*Mean Shell Diameter after Ironing*Shell Thickness Shell after Ironing*ln(Shell Thickness before Ironing/Shell Thickness Shell after Ironing))

Mean Diameter of Shell after Ironing

Go Mean Shell Diameter after Ironing = Ironing Force/(pi*Average Tensile Strength before & after Ironing*Shell Thickness Shell after Ironing*ln(Shell Thickness before Ironing/Shell Thickness Shell after Ironing))

Ironing Force after Drawing

Go Ironing Force = pi*Mean Shell Diameter after Ironing*Shell Thickness Shell after Ironing*Average Tensile Strength before & after Ironing*ln(Shell Thickness before Ironing/Shell Thickness Shell after Ironing)

Thickness of Shell before Ironing Formula

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 Thickness of Shell before Ironing?

Thickness of Shell before Ironing calculator uses Shell Thickness before Ironing = Shell Thickness Shell after Ironing*exp(Ironing Force/(pi*Mean Shell Diameter after Ironing*Shell Thickness Shell after Ironing*Average Tensile Strength before & after Ironing)) to calculate the Shell Thickness before Ironing, The Thickness of shell before ironing formula is defined as the thickness of shell walls before ironing and after drawing. Shell Thickness before Ironing is denoted by t₀ symbol.

How to calculate Thickness of Shell before Ironing using this online calculator? To use this online calculator for Thickness of Shell before Ironing, enter Shell Thickness Shell after Ironing (t_f), Ironing Force (F), Mean Shell Diameter after Ironing (d₁) & Average Tensile Strength before & after Ironing (S_avg) and hit the calculate button. Here is how the Thickness of Shell before Ironing calculation can be explained with given input values -> 20010.75 = 0.013*exp(8.01/(pi*0.0025*0.013*181886)).

FAQ

What is Thickness of Shell before Ironing?

The Thickness of shell before ironing formula is defined as the thickness of shell walls before ironing and after drawing and is represented as t₀ = t_f*exp(F/(pi*d₁*t_f*S_avg)) or Shell Thickness before Ironing = Shell Thickness Shell after Ironing*exp(Ironing Force/(pi*Mean Shell Diameter after Ironing*Shell Thickness Shell after Ironing*Average Tensile Strength before & after Ironing)). Shell Thickness Shell after Ironing refers to the final thickness of the metal shell or cup after it has undergone the ironing process, Ironing force is the force applied to reduce the wall thickness of the cup, Mean Shell Diameter after Ironing is the mean taken of inner and outer diameter & 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.

How to calculate Thickness of Shell before Ironing?

The Thickness of shell before ironing formula is defined as the thickness of shell walls before ironing and after drawing is calculated using Shell Thickness before Ironing = Shell Thickness Shell after Ironing*exp(Ironing Force/(pi*Mean Shell Diameter after Ironing*Shell Thickness Shell after Ironing*Average Tensile Strength before & after Ironing)). To calculate Thickness of Shell before Ironing, you need Shell Thickness Shell after Ironing (t_f), Ironing Force (F), Mean Shell Diameter after Ironing (d₁) & Average Tensile Strength before & after Ironing (S_avg). With our tool, you need to enter the respective value for Shell Thickness Shell after Ironing, Ironing Force, Mean Shell Diameter after Ironing & Average Tensile Strength before & after 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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