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Internal diameter of thin cylindrical vessel given longitudinal strain Formula

GoInternal diameter of thin cylindrical vessel given circumferential strain Formula

GoInternal diameter of vessel given Force due to fluid pressure in thin cylindrical vessel Formula

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Inner Diameter of Cylinder is the diameter of the inside of the cylinder. Check FAQs

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

D_i - Inner Diameter of Cylinder?ε_longitudinal - Longitudinal Strain?t - Thickness Of Thin Shell?E - Modulus of Elasticity Of Thin Shell?P_i - Internal Pressure in thin shell?𝛎 - Poisson's Ratio?

Internal diameter of thin cylindrical vessel given longitudinal strain Example

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Here is how the Internal diameter of thin cylindrical vessel given longitudinal strain equation looks like with Values.

Here is how the Internal diameter of thin cylindrical vessel given longitudinal strain equation looks like with Units.

Here is how the Internal diameter of thin cylindrical vessel given longitudinal strain equation looks like.

150000 = \frac{40 \cdot 2 \cdot 525 \cdot 10}{(14) \cdot ((\frac{1}{2}) - 0.3)}

150000mm = \frac{40 \cdot 2 \cdot 525mm \cdot 10MPa}{(14MPa) \cdot ((\frac{1}{2}) - 0.3)}

150000 = \frac{40 \cdot 2 \cdot 525 \cdot 10}{(14) \cdot ((\frac{1}{2}) - 0.3)}

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Strength of Materials » fx Internal diameter of thin cylindrical vessel given longitudinal strain

Internal diameter of thin cylindrical vessel given longitudinal strain Solution

Follow our step by step solution on how to calculate Internal diameter of thin cylindrical vessel given longitudinal strain?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D i = \frac{40 \cdot 2 \cdot 525mm \cdot 10MPa}{(14MPa) \cdot ((\frac{1}{2}) - 0.3)}

Next Step Convert Units

∴

D i = \frac{40 \cdot 2 \cdot 0.525m \cdot 1E+7Pa}{(1.4E+7Pa) \cdot ((\frac{1}{2}) - 0.3)}

Next Step Prepare to Evaluate

∴

D i = \frac{40 \cdot 2 \cdot 0.525 \cdot 1E+7}{(1.4E+7) \cdot ((\frac{1}{2}) - 0.3)}

Next Step Evaluate

∴

D i = 150m

LAST Step Convert to Output's Unit

∴

D i = 150000mm

Internal diameter of thin cylindrical vessel given longitudinal strain Formula Elements

Variables

Inner Diameter of Cylinder

Inner Diameter of Cylinder is the diameter of the inside of the cylinder.

Symbol: D_i

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Inner Diameter of Cylinder

Longitudinal Strain

The Longitudinal Strain is ratio of change in length to original length.

Symbol: ε_longitudinal

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Longitudinal Strain

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 Inner Diameter of Cylinder

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 vessel given Force due to fluid pressure in thin cylindrical vessel

D i = \frac{F}{P i \cdot L cylinder}

Other formulas in Stress and Strain category

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)}

Go Original circumference of thin cylindrical vessel given circumferential strain

C = \frac{δC}{e 1}

Go Original diameter of thin cylindrical vessel given circumferential strain

d = \frac{∆d}{e 1}

How to Evaluate Internal diameter of thin cylindrical vessel given longitudinal strain?

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

How to evaluate Internal diameter of thin cylindrical vessel given longitudinal strain using this online evaluator? To use this online evaluator for Internal diameter of thin cylindrical vessel given longitudinal strain, enter Longitudinal Strain (ε_longitudinal), 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 Internal diameter of thin cylindrical vessel given longitudinal strain

What is the formula to find Internal diameter of thin cylindrical vessel given longitudinal strain?

The formula of Internal diameter of thin cylindrical vessel given longitudinal strain is expressed as Inner Diameter of Cylinder = (Longitudinal Strain*2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell)/((Internal Pressure in thin shell)*((1/2)-Poisson's Ratio)). Here is an example- 1.5E+8 = (40*2*0.525*10000000)/((14000000)*((1/2)-0.3)).

How to calculate Internal diameter of thin cylindrical vessel given longitudinal strain?

With Longitudinal Strain (ε_longitudinal), 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 Internal diameter of thin cylindrical vessel given longitudinal strain using the formula - Inner Diameter of Cylinder = (Longitudinal Strain*2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell)/((Internal Pressure in thin shell)*((1/2)-Poisson's Ratio)).

What are the other ways to Calculate Inner Diameter of Cylinder?

Here are the different ways to Calculate Inner Diameter of Cylinder-

Inner Diameter of Cylinder=(Circumferential Strain Thin Shell*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Internal Pressure in thin shell))*((1/2)-Poisson's Ratio))
Inner Diameter of Cylinder=Force on cylindrical shell/(Internal Pressure*Length Of Cylindrical Shell)

Can the Internal diameter of thin cylindrical vessel given longitudinal strain be negative?

Yes, the Internal diameter of thin cylindrical vessel given longitudinal strain, measured in Length can be negative.

Which unit is used to measure Internal diameter of thin cylindrical vessel given longitudinal strain?

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

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Internal diameter of thin cylindrical vessel given longitudinal strain Formula

​GoInternal diameter of thin cylindrical vessel given circumferential strain Formula

​GoInternal diameter of vessel given Force due to fluid pressure in thin cylindrical vessel Formula

Internal diameter of thin cylindrical vessel given longitudinal strain Example

Internal diameter of thin cylindrical vessel given longitudinal strain Solution

Internal diameter of thin cylindrical vessel given longitudinal strain Formula Elements

Other Formulas to find Inner Diameter of Cylinder

Other formulas in Stress and Strain category

How to Evaluate Internal diameter of thin cylindrical vessel given longitudinal strain?

FAQs on Internal diameter of thin cylindrical vessel given longitudinal strain

Variable Name

GoInternal diameter of thin cylindrical vessel given circumferential strain Formula

GoInternal diameter of vessel given Force due to fluid pressure in thin cylindrical vessel Formula