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Original diameter of vessel given change in diameter Formula

GoOriginal diameter of thin cylindrical vessel given circumferential strain Formula

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The Original Diameter is the initial diameter of material. Check FAQs

d = \frac{∆d \cdot (2 \cdot t \cdot E)}{{(((P i)) \cdot (1 - (\frac{𝛎}{2})))}^{\frac{1}{2}}}

d - Original Diameter?∆d - Change in Diameter?t - Thickness Of Thin Shell?E - Modulus of Elasticity Of Thin Shell?P_i - Internal Pressure in thin shell?𝛎 - Poisson's Ratio?

Original diameter of vessel given change in diameter Example

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Here is how the Original diameter of vessel given change in diameter equation looks like with Values.

Here is how the Original diameter of vessel given change in diameter equation looks like with Units.

Here is how the Original diameter of vessel given change in diameter equation looks like.

153711.7958 = \frac{50.5 \cdot (2 \cdot 525 \cdot 10)}{{(((14)) \cdot (1 - (\frac{0.3}{2})))}^{\frac{1}{2}}}

153711.7958mm = \frac{50.5mm \cdot (2 \cdot 525mm \cdot 10MPa)}{{(((14MPa)) \cdot (1 - (\frac{0.3}{2})))}^{\frac{1}{2}}}

153711.7958 = \frac{50.5 \cdot (2 \cdot 525 \cdot 10)}{{(((14)) \cdot (1 - (\frac{0.3}{2})))}^{\frac{1}{2}}}

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Original diameter of vessel given change in diameter Solution

Follow our step by step solution on how to calculate Original diameter of vessel given change in diameter?

FIRST Step Consider the formula

d = \frac{∆d \cdot (2 \cdot t \cdot E)}{{(((P i)) \cdot (1 - (\frac{𝛎}{2})))}^{\frac{1}{2}}}

Next Step Substitute values of Variables

∴

d = \frac{50.5mm \cdot (2 \cdot 525mm \cdot 10MPa)}{{(((14MPa)) \cdot (1 - (\frac{0.3}{2})))}^{\frac{1}{2}}}

Next Step Convert Units

∴

d = \frac{0.0505m \cdot (2 \cdot 0.525m \cdot 1E+7Pa)}{{(((1.4E+7Pa)) \cdot (1 - (\frac{0.3}{2})))}^{\frac{1}{2}}}

Next Step Prepare to Evaluate

∴

d = \frac{0.0505 \cdot (2 \cdot 0.525 \cdot 1E+7)}{{(((1.4E+7)) \cdot (1 - (\frac{0.3}{2})))}^{\frac{1}{2}}}

Next Step Evaluate

∴

d = 153.711795827355m

Next Step Convert to Output's Unit

∴

d = 153711.795827355mm

LAST Step Rounding Answer

∴

d = 153711.7958mm

Original diameter of vessel given change in diameter Formula Elements

Variables

Original Diameter

The Original Diameter is the initial diameter of material.

Symbol: d

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Original Diameter

Change in Diameter

The Change in Diameter is the difference between the initial and final diameter.

Symbol: ∆d

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Change in Diameter

Thickness Of Thin Shell

Thickness Of Thin Shell is the distance through an object.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness Of Thin Shell

Modulus of Elasticity Of Thin Shell

Modulus of Elasticity Of Thin Shell is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it.

Symbol: E

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity Of Thin Shell

Internal Pressure in thin shell

Internal Pressure in thin shell is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.

Symbol: P_i

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Internal Pressure in thin shell

Poisson's Ratio

Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.

Symbol: 𝛎

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Poisson's Ratio

Other Formulas to find Original Diameter

Go Original diameter of thin cylindrical vessel given circumferential strain

d = \frac{∆d}{e 1}

Other formulas in Stress and Strain category

Go Internal diameter of thin cylindrical vessel given circumferential strain

D i = \frac{e 1 \cdot (2 \cdot t \cdot E)}{((P i)) \cdot ((\frac{1}{2}) - 𝛎)}

Go Internal diameter of thin cylindrical vessel given longitudinal strain

D i = \frac{ε longitudinal \cdot 2 \cdot t \cdot E}{(P i) \cdot ((\frac{1}{2}) - 𝛎)}

Go Internal fluid pressure in thin cylindrical vessel given change in diameter

P i = \frac{∆d \cdot (2 \cdot t \cdot E)}{((({D i}^{2}))) \cdot (1 - (\frac{𝛎}{2}))}

Go Internal fluid pressure in thin cylindrical vessel given longitudinal strain

P i = \frac{ε longitudinal \cdot 2 \cdot t \cdot E}{(D i) \cdot ((\frac{1}{2}) - 𝛎)}

How to Evaluate Original diameter of vessel given change in diameter?

Original diameter of vessel given change in diameter evaluator uses Original Diameter = (Change in Diameter*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Internal Pressure in thin shell))*(1-(Poisson's Ratio/2)))^(1/2) to evaluate the Original Diameter, The Original diameter of vessel given change in diameter formula is defined as a chord that runs through the center point of the base of a cylindrical vessel. Original Diameter is denoted by d symbol.

How to evaluate Original diameter of vessel given change in diameter using this online evaluator? To use this online evaluator for Original diameter of vessel given change in diameter, enter Change in Diameter (∆d), Thickness Of Thin Shell (t), Modulus of Elasticity Of Thin Shell (E), Internal Pressure in thin shell (P_i) & Poisson's Ratio (𝛎) and hit the calculate button.

FAQs on Original diameter of vessel given change in diameter

What is the formula to find Original diameter of vessel given change in diameter?

The formula of Original diameter of vessel given change in diameter is expressed as Original Diameter = (Change in Diameter*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Internal Pressure in thin shell))*(1-(Poisson's Ratio/2)))^(1/2). Here is an example- 1.5E+8 = (0.0505*(2*0.525*10000000))/(((14000000))*(1-(0.3/2)))^(1/2).

How to calculate Original diameter of vessel given change in diameter?

With Change in Diameter (∆d), Thickness Of Thin Shell (t), Modulus of Elasticity Of Thin Shell (E), Internal Pressure in thin shell (P_i) & Poisson's Ratio (𝛎) we can find Original diameter of vessel given change in diameter using the formula - Original Diameter = (Change in Diameter*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Internal Pressure in thin shell))*(1-(Poisson's Ratio/2)))^(1/2).

What are the other ways to Calculate Original Diameter?

Here are the different ways to Calculate Original Diameter-

Original Diameter=Change in Diameter/Circumferential Strain Thin Shell

Can the Original diameter of vessel given change in diameter be negative?

Yes, the Original diameter of vessel given change in diameter, measured in Length can be negative.

Which unit is used to measure Original diameter of vessel given change in diameter?

Original diameter of vessel given change in diameter is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Original diameter of vessel given change in diameter can be measured.

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Original diameter of vessel given change in diameter Formula

​GoOriginal diameter of thin cylindrical vessel given circumferential strain Formula

Original diameter of vessel given change in diameter Example

Original diameter of vessel given change in diameter Solution

Original diameter of vessel given change in diameter Formula Elements

Other Formulas to find Original Diameter

Other formulas in Stress and Strain category

How to Evaluate Original diameter of vessel given change in diameter?

FAQs on Original diameter of vessel given change in diameter

Variable Name

GoOriginal diameter of thin cylindrical vessel given circumferential strain Formula