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Mean Diameter of Shell after Ironing Formula

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Mean Shell Diameter after Ironing is the average diameter of the formed metal part after it has undergone shaping processes like ironing. Check FAQs

d 1 = \frac{F}{π \cdot S avg \cdot t f \cdot \ln (\frac{t 0}{t f})}

d₁ - Mean Shell Diameter after Ironing?F - Ironing Force?S_avg - Average Tensile Strength Before & After Ironing?t_f - Shell Thickness after Ironing?t₀ - Shell Thickness before Ironing?π - Archimedes' constant?

Mean Diameter of Shell after Ironing Example

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Here is how the Mean Diameter of Shell after Ironing equation looks like with Values.

Here is how the Mean Diameter of Shell after Ironing equation looks like with Units.

Here is how the Mean Diameter of Shell after Ironing equation looks like.

2.5002 = \frac{8.01}{3.1416 \cdot 0.1819 \cdot 13 \cdot \ln (\frac{20.01}{13})}

2.5002mm = \frac{8.01N}{3.1416 \cdot 0.1819N/mm² \cdot 13mm \cdot \ln (\frac{20.01mm}{13mm})}

2.5002 = \frac{8.01}{3.1416 \cdot 0.1819 \cdot 13 \cdot \ln (\frac{20.01}{13})}

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Mean Diameter of Shell after Ironing Solution

Follow our step by step solution on how to calculate Mean Diameter of Shell after Ironing?

FIRST Step Consider the formula

d 1 = \frac{F}{π \cdot S avg \cdot t f \cdot \ln (\frac{t 0}{t f})}

Next Step Substitute values of Variables

∴

d 1 = \frac{8.01N}{π \cdot 0.1819N/mm² \cdot 13mm \cdot \ln (\frac{20.01mm}{13mm})}

Next Step Substitute values of Constants

∴

d 1 = \frac{8.01N}{3.1416 \cdot 0.1819N/mm² \cdot 13mm \cdot \ln (\frac{20.01mm}{13mm})}

Next Step Convert Units

∴

d 1 = \frac{8.01N}{3.1416 \cdot 181886Pa \cdot 0.013m \cdot \ln (\frac{0.02m}{0.013m})}

Next Step Prepare to Evaluate

∴

d 1 = \frac{8.01}{3.1416 \cdot 181886 \cdot 0.013 \cdot \ln (\frac{0.02}{0.013})}

Next Step Evaluate

∴

d 1 = 0.0025002180689994m

Next Step Convert to Output's Unit

∴

d 1 = 2.5002180689994mm

LAST Step Rounding Answer

∴

d 1 = 2.5002mm

Mean Diameter of Shell after Ironing Formula Elements

Variables

Constants

Functions

Mean Shell Diameter after Ironing

Mean Shell Diameter after Ironing is the average diameter of the formed metal part after it has undergone shaping processes like ironing.

Symbol: d₁

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Shell Diameter after Ironing

Ironing Force

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.

Symbol: F

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Ironing Force

Average Tensile Strength Before & After Ironing

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.

Symbol: S_avg

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Average Tensile Strength Before & After Ironing

Shell Thickness after Ironing

Shell Thickness after Ironing is the final thickness of the metal shell or cup after it has undergone the ironing process.

Symbol: t_f

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Shell Thickness after Ironing

Shell Thickness before Ironing

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.

Symbol: t₀

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Shell Thickness before Ironing

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in Ironing Operation category

Go Ironing Force after Drawing

F = π \cdot d 1 \cdot t f \cdot S avg \cdot \ln (\frac{t 0}{t f})

Go Thickness of Shell before Ironing

t 0 = t f \cdot \exp (\frac{F}{π \cdot d 1 \cdot t f \cdot S avg})

Go Average of Tensile Strength before and after Ironing

S avg = \frac{F}{π \cdot d 1 \cdot t f \cdot \ln (\frac{t 0}{t f})}

How to Evaluate Mean Diameter of Shell after Ironing?

Mean Diameter of Shell after Ironing evaluator 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 evaluate 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 evaluate Mean Diameter of Shell after Ironing using this online evaluator? To use this online evaluator for Mean Diameter of Shell after Ironing, enter Ironing Force (F), Average Tensile Strength Before & After Ironing (S_avg), Shell Thickness after Ironing (t_f) & Shell Thickness before Ironing (t₀) and hit the calculate button.

FAQs on Mean Diameter of Shell after Ironing

What is the formula to find Mean Diameter of Shell after Ironing?

The formula of Mean Diameter of Shell after Ironing is expressed as 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)). Here is an example- 2500.218 = 8.01/(pi*181886*0.013*ln(0.02001/0.013)).

How to calculate Mean Diameter of Shell after Ironing?

With Ironing Force (F), Average Tensile Strength Before & After Ironing (S_avg), Shell Thickness after Ironing (t_f) & Shell Thickness before Ironing (t₀) we can find Mean Diameter of Shell after Ironing using the formula - 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)). This formula also uses Archimedes' constant and Natural Logarithm (ln) function(s).

Can the Mean Diameter of Shell after Ironing be negative?

No, the Mean Diameter of Shell after Ironing, measured in Length cannot be negative.

Which unit is used to measure Mean Diameter of Shell after Ironing?

Mean Diameter of Shell after Ironing is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Mean Diameter of Shell after Ironing can be measured.

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Mean Diameter of Shell after Ironing Formula

Mean Diameter of Shell after Ironing Example

Mean Diameter of Shell after Ironing Solution

Mean Diameter of Shell after Ironing Formula Elements

Other formulas in Ironing Operation category

How to Evaluate Mean Diameter of Shell after Ironing?

FAQs on Mean Diameter of Shell after Ironing

Variable Name