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Ironing Force after Drawing Formula

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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. Check FAQs

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

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

Ironing Force after Drawing Example

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Here is how the Ironing Force after Drawing equation looks like with Values.

Here is how the Ironing Force after Drawing equation looks like with Units.

Here is how the Ironing Force after Drawing equation looks like.

8.0093 = 3.1416 \cdot 2.5 \cdot 13 \cdot 0.1819 \cdot \ln (\frac{20.01}{13})

8.0093N = 3.1416 \cdot 2.5mm \cdot 13mm \cdot 0.1819N/mm² \cdot \ln (\frac{20.01mm}{13mm})

8.0093 = 3.1416 \cdot 2.5 \cdot 13 \cdot 0.1819 \cdot \ln (\frac{20.01}{13})

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Ironing Force after Drawing Solution

Follow our step by step solution on how to calculate Ironing Force after Drawing?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

F = π \cdot 2.5mm \cdot 13mm \cdot 0.1819N/mm² \cdot \ln (\frac{20.01mm}{13mm})

Next Step Substitute values of Constants

∴

F = 3.1416 \cdot 2.5mm \cdot 13mm \cdot 0.1819N/mm² \cdot \ln (\frac{20.01mm}{13mm})

Next Step Convert Units

∴

F = 3.1416 \cdot 0.0025m \cdot 0.013m \cdot 181886Pa \cdot \ln (\frac{0.02m}{0.013m})

Next Step Prepare to Evaluate

∴

F = 3.1416 \cdot 0.0025 \cdot 0.013 \cdot 181886 \cdot \ln (\frac{0.02}{0.013})

Next Step Evaluate

∴

F = 8.00930136786593N

LAST Step Rounding Answer

∴

F = 8.0093N

Ironing Force after Drawing Formula Elements

Variables

Constants

Functions

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

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

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

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 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 Mean Diameter of Shell after Ironing

d 1 = \frac{F}{π \cdot S avg \cdot t f \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 Ironing Force after Drawing?

Ironing Force after Drawing evaluator uses 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) to evaluate the Ironing Force, Ironing Force after Drawing is the force used to reduce the wall thickness of the cup after drawing. Ironing Force is denoted by F symbol.

How to evaluate Ironing Force after Drawing using this online evaluator? To use this online evaluator for Ironing Force after Drawing, enter Mean Shell Diameter after Ironing (d₁), Shell Thickness after Ironing (t_f), Average Tensile Strength Before & After Ironing (S_avg) & Shell Thickness before Ironing (t₀) and hit the calculate button.

FAQs on Ironing Force after Drawing

What is the formula to find Ironing Force after Drawing?

The formula of Ironing Force after Drawing is expressed as 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). Here is an example- 8.009301 = pi*0.0025*0.013*181886*ln(0.02001/0.013).

How to calculate Ironing Force after Drawing?

With Mean Shell Diameter after Ironing (d₁), Shell Thickness after Ironing (t_f), Average Tensile Strength Before & After Ironing (S_avg) & Shell Thickness before Ironing (t₀) we can find Ironing Force after Drawing using the formula - 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). This formula also uses Archimedes' constant and Natural Logarithm (ln) function(s).

Can the Ironing Force after Drawing be negative?

No, the Ironing Force after Drawing, measured in Force cannot be negative.

Which unit is used to measure Ironing Force after Drawing?

Ironing Force after Drawing is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Ironing Force after Drawing can be measured.

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Ironing Force after Drawing Formula

Ironing Force after Drawing Example

Ironing Force after Drawing Solution

Ironing Force after Drawing Formula Elements

Other formulas in Ironing Operation category

How to Evaluate Ironing Force after Drawing?

FAQs on Ironing Force after Drawing

Variable Name