Original diameter of thin cylindrical vessel given circumferential strain Calculator

✖The Change in Diameter is the difference between the initial and final diameter.ⓘ Change in Diameter [∆d]			+10% -10%
✖Circumferential strain Thin Shell represents the change in length.ⓘ Circumferential strain Thin Shell [e₁]			+10% -10%

✖The Original Diameter is the initial diameter of material.ⓘ Original diameter of thin cylindrical vessel given circumferential strain [d]

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Formula

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Original diameter of thin cylindrical vessel given circumferential strain

Formula

`"d" = "∆d"/"e"_{"1"}`

Example

`"20.2mm"="50.5mm"/"2.5"`

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Original diameter of thin cylindrical vessel given circumferential strain Solution

STEP 0: Pre-Calculation Summary

Formula Used

Original Diameter = Change in Diameter/Circumferential strain Thin Shell
d = ∆d/e₁
This formula uses 3 Variables

Variables Used

Original Diameter - (Measured in Meter) - The Original Diameter is the initial diameter of material.
Change in Diameter - (Measured in Meter) - The Change in Diameter is the difference between the initial and final diameter.
Circumferential strain Thin Shell - Circumferential strain Thin Shell represents the change in length.

STEP 1: Convert Input(s) to Base Unit

Change in Diameter: 50.5 Millimeter --> 0.0505 Meter (Check conversion here)
Circumferential strain Thin Shell: 2.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = ∆d/e₁ --> 0.0505/2.5

Evaluating ... ...

d = 0.0202

STEP 3: Convert Result to Output's Unit

0.0202 Meter -->20.2 Millimeter (Check conversion here)

FINAL ANSWER

20.2 Millimeter <-- Original Diameter

(Calculation completed in 00.020 seconds)

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Home » Physics » Strength of Materials » Thin Cylinders And Spheres » Effect of Internal Pressure on Dimension of Thin Cylindrical Shell » Original diameter of thin cylindrical vessel given circumferential strain

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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< 23 Effect of Internal Pressure on Dimension of Thin Cylindrical Shell Calculators

Diameter of cylindrical shell given change in length of cylindrical shell

Go Diameter of Shell = (Change in Length*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Internal Pressure in thin shell*Length Of Cylindrical Shell))*((1/2)-Poisson's Ratio))

Length of cylindrical shell given change in length of cylindrical shell

Go Length Of Cylindrical Shell = (Change in Length*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Internal Pressure in thin shell*Diameter of Shell))*((1/2)-Poisson's Ratio))

Internal fluid pressure given change in length of cylindrical shell

Go Internal Pressure in thin shell = (Change in Length*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Diameter of Shell*Length Of Cylindrical Shell))*((1/2)-Poisson's Ratio))

Internal diameter of thin cylindrical vessel given circumferential strain

Go 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))

Internal fluid pressure given circumferential strain

Go Internal Pressure in thin shell = (Circumferential strain Thin Shell*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Inner Diameter of Cylinder))*((1/2)-Poisson's Ratio))

Internal fluid pressure in thin cylindrical vessel given change in diameter

Go Internal Pressure in thin shell = (Change in Diameter*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/((((Inner Diameter of Cylinder^2)))*(1-(Poisson's Ratio/2)))

Internal fluid pressure in thin cylindrical vessel given longitudinal strain

Go Internal Pressure in thin shell = (Longitudinal Strain*2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell)/((Inner Diameter of Cylinder)*((1/2)-Poisson's Ratio))

Internal diameter of thin cylindrical vessel given longitudinal strain

Go 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))

Original diameter of vessel given change in diameter

Go 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)

Length of cylindrical shell given change in volume of cylindrical shell

Go Length Of Cylindrical Shell = ((Change in Volume/(pi/4))-(Change in Length*(Diameter of Shell^2)))/(2*Diameter of Shell*Change in Diameter)

Diameter of thin cylindrical shell given volumetric strain

Go Diameter of Shell = (Volumetric Strain*2*Modulus of Elasticity Of Thin Shell*Thickness Of Thin Shell)/((Internal Pressure in thin shell)*((5/2)-Poisson's Ratio))

Internal fluid pressure in shell given volumetric strain

Go Internal Pressure in thin shell = (Volumetric Strain*2*Modulus of Elasticity Of Thin Shell*Thickness Of Thin Shell)/((Diameter of Shell)*((5/2)-Poisson's Ratio))

Longitudinal stress given circumferential strain

Go Longitudinal Stress Thick Shell = (Hoop Stress in Thin shell-(Circumferential strain Thin Shell*Modulus of Elasticity Of Thin Shell))/Poisson's Ratio

Hoop stress given circumferential strain

Go Hoop Stress in Thin shell = (Circumferential strain Thin Shell*Modulus of Elasticity Of Thin Shell)+(Poisson's Ratio*Longitudinal Stress Thick Shell)

Hoop stress in thin cylindrical vessel given Longitudinal strain

Go Hoop Stress in Thin shell = (-(Longitudinal Strain*Modulus of Elasticity Of Thin Shell)+Longitudinal Stress Thick Shell)/(Poisson's Ratio)

Longitudinal stress in thin cylindrical vessel given Longitudinal strain

Go Longitudinal Stress Thick Shell = ((Longitudinal Strain*Modulus of Elasticity Of Thin Shell))+(Poisson's Ratio*Hoop Stress in Thin shell)

Diameter of thin cylindrical strain given volumetric strain

Go Diameter of Shell = 2*Change in Distance/(Volumetric Strain-(Change in Length/Length Of Cylindrical Shell))

Length of thin cylindrical strain given volumetric strain

Go Length Of Cylindrical Shell = Change in Length/(Volumetric Strain-(2*Change in Diameter/Diameter of Shell))

Volume of thin cylindrical shell given circumferential and longitudinal strain

Go Volume of Thin Cylindrical Shell = Change in Volume/((2*Circumferential strain Thin Shell)+Longitudinal Strain)

Original circumference of thin cylindrical vessel given circumferential strain

Go Original Circumference = Change in circumference/Circumferential strain Thin Shell

Original diameter of thin cylindrical vessel given circumferential strain

Go Original Diameter = Change in Diameter/Circumferential strain Thin Shell

Original length of vessel given longitudinal strain

Go Initial Length = Change in Length/Longitudinal Strain

Original volume of cylindrical shell given volumetric strain

Go Original Volume = Change in Volume/Volumetric Strain

Original diameter of thin cylindrical vessel given circumferential strain Formula

Original Diameter = Change in Diameter/Circumferential strain Thin Shell
d = ∆d/e₁

What is meant by hoop stress?

The hoop stress, or tangential stress, is the stress around the circumference of the pipe due to a pressure gradient. The maximum hoop stress always occurs at the inner radius or the outer radius depending on the direction of the pressure gradient.

How to Calculate Original diameter of thin cylindrical vessel given circumferential strain?

Original diameter of thin cylindrical vessel given circumferential strain calculator uses Original Diameter = Change in Diameter/Circumferential strain Thin Shell to calculate the Original Diameter, The Original diameter of thin cylindrical vessel given circumferential strain 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 calculate Original diameter of thin cylindrical vessel given circumferential strain using this online calculator? To use this online calculator for Original diameter of thin cylindrical vessel given circumferential strain, enter Change in Diameter (∆d) & Circumferential strain Thin Shell (e₁) and hit the calculate button. Here is how the Original diameter of thin cylindrical vessel given circumferential strain calculation can be explained with given input values -> 20200 = 0.0505/2.5.

FAQ

What is Original diameter of thin cylindrical vessel given circumferential strain?

How to calculate Original diameter of thin cylindrical vessel given circumferential strain?

The Original diameter of thin cylindrical vessel given circumferential strain formula is defined as a chord that runs through the center point of the base of a cylindrical vessel is calculated using Original Diameter = Change in Diameter/Circumferential strain Thin Shell. To calculate Original diameter of thin cylindrical vessel given circumferential strain, you need Change in Diameter (∆d) & Circumferential strain Thin Shell (e₁). With our tool, you need to enter the respective value for Change in Diameter & Circumferential strain Thin Shell and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Original Diameter?

In this formula, Original Diameter uses Change in Diameter & Circumferential strain Thin Shell. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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