Circumferential strain of vessel given diameter Calculator

✖The Change in Diameter is the difference between the initial and final diameter.ⓘ Change in Diameter [∆d]			+10% -10%
✖The Original Diameter is the initial diameter of material.ⓘ Original Diameter [d]			+10% -10%

✖Circumferential strain Thin Shell represents the change in length.ⓘ Circumferential strain of vessel given diameter [e₁]

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Formula

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Circumferential strain of vessel given diameter

Formula

`"e"_{"1"} = "∆d"/"d"`

Example

`"0.02525"="50.5mm"/"2000mm"`

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Circumferential strain of vessel given diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Change in Diameter: 50.5 Millimeter --> 0.0505 Meter (Check conversion here)
Original Diameter: 2000 Millimeter --> 2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e₁ = ∆d/d --> 0.0505/2

Evaluating ... ...

e₁ = 0.02525

STEP 3: Convert Result to Output's Unit

0.02525 --> No Conversion Required

FINAL ANSWER

0.02525 <-- Circumferential strain Thin Shell

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Thin Cylinders And Spheres » Effect of Internal Pressure on Dimension of Thin Cylindrical Shell » Strain » Circumferential strain of vessel given diameter

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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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< 15 Strain Calculators

Circumferential strain given internal fluid pressure

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

Longitudinal strain in thin cylindrical vessel given internal fluid pressure

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

Volumetric strain given internal fluid pressure

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

Circumferential strain given hoop stress

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

Longitudinal strain given hoop and longitudinal stress

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

Volumetric strain of thin cylindrical shell given changes in diameter and length

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

Circumferential strain given volume of thin cylindrical shell

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

Longitudinal strain given volume of thin cylindrical shell

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

Circumferential strain given circumference

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

Longitudinal strain given volumetric strain for thin cylindrical shell

Go Longitudinal Strain = (Volumetric Strain-(2*Circumferential strain Thin Shell))

Circumferential strain given volumetric strain for thin cylindrical shell

Go Circumferential strain Thin Shell = (Volumetric Strain-Longitudinal Strain)/2

Volumetric strain given circumferential strain and longitudinal strain

Go Volumetric Strain = 2*Circumferential strain Thin Shell+(Longitudinal Strain)

Circumferential strain of vessel given diameter

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

Longitudinal strain for vessel given change in length formula

Go Longitudinal Strain = Change in Length/Initial Length

Volumetric strain of thin cylindrical shell

Go Volumetric Strain = Change in Volume/Original Volume

Circumferential strain of vessel given diameter Formula

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

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 Circumferential strain of vessel given diameter?

Circumferential strain of vessel given diameter calculator uses Circumferential strain Thin Shell = Change in Diameter/Original Diameter to calculate the Circumferential strain Thin Shell, The Circumferential strain of vessel given diameter formula is defined as the change in length, or we can say the change in circumference of the vessel which results in negative strain. Circumferential strain Thin Shell is denoted by e₁ symbol.

How to calculate Circumferential strain of vessel given diameter using this online calculator? To use this online calculator for Circumferential strain of vessel given diameter, enter Change in Diameter (∆d) & Original Diameter (d) and hit the calculate button. Here is how the Circumferential strain of vessel given diameter calculation can be explained with given input values -> 0.02525 = 0.0505/2.

FAQ

What is Circumferential strain of vessel given diameter?

The Circumferential strain of vessel given diameter formula is defined as the change in length, or we can say the change in circumference of the vessel which results in negative strain and is represented as e₁ = ∆d/d or Circumferential strain Thin Shell = Change in Diameter/Original Diameter. The Change in Diameter is the difference between the initial and final diameter & The Original Diameter is the initial diameter of material.

How to calculate Circumferential strain of vessel given diameter?

The Circumferential strain of vessel given diameter formula is defined as the change in length, or we can say the change in circumference of the vessel which results in negative strain is calculated using Circumferential strain Thin Shell = Change in Diameter/Original Diameter. To calculate Circumferential strain of vessel given diameter, you need Change in Diameter (∆d) & Original Diameter (d). With our tool, you need to enter the respective value for Change in Diameter & Original Diameter 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 Circumferential strain Thin Shell?

In this formula, Circumferential strain Thin Shell uses Change in Diameter & Original Diameter. We can use 5 other way(s) to calculate the same, which is/are as follows -

Circumferential strain Thin Shell = Change in circumference/Original Circumference
Circumferential strain Thin Shell = (Hoop Stress in Thin shell-(Poisson's Ratio*Longitudinal Stress Thick Shell))/Modulus of Elasticity Of Thin Shell
Circumferential strain Thin Shell = ((Internal Pressure in thin shell*Inner Diameter of Cylinder)/(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))*((1/2)-Poisson's Ratio)
Circumferential strain Thin Shell = ((Change in Volume/Volume of Thin Cylindrical Shell)-Longitudinal Strain)/2
Circumferential strain Thin Shell = (Volumetric Strain-Longitudinal Strain)/2

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