Circumferential strain given circumference Calculator

✖Change in circumference is defined as change in the perimeter of a cylindrical vessel.ⓘ Change in circumference [δC]			+10% -10%
✖Original Circumference is defined as original the perimeter of a cylindrical vessel.ⓘ Original Circumference [C]			+10% -10%

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

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Formula

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Circumferential strain given circumference

Formula

`"e"_{"1"} = "δC"/"C"`

Example

`"0.0005"="4mm"/"8000mm"`

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Circumferential strain given circumference Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumferential strain Thin Shell = Change in circumference/Original Circumference
e₁ = δC/C
This formula uses 3 Variables

Variables Used

Circumferential strain Thin Shell - Circumferential strain Thin Shell represents the change in length.
Change in circumference - (Measured in Meter) - Change in circumference is defined as change in the perimeter of a cylindrical vessel.
Original Circumference - (Measured in Meter) - Original Circumference is defined as original the perimeter of a cylindrical vessel.

STEP 1: Convert Input(s) to Base Unit

Change in circumference: 4 Millimeter --> 0.004 Meter (Check conversion here)
Original Circumference: 8000 Millimeter --> 8 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e₁ = δC/C --> 0.004/8

Evaluating ... ...

e₁ = 0.0005

STEP 3: Convert Result to Output's Unit

0.0005 --> No Conversion Required

FINAL ANSWER

0.0005 <-- 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 given circumference

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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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 given circumference Formula

Circumferential strain Thin Shell = Change in circumference/Original Circumference
e₁ = δC/C

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 given circumference?

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

How to calculate Circumferential strain given circumference using this online calculator? To use this online calculator for Circumferential strain given circumference, enter Change in circumference (δC) & Original Circumference (C) and hit the calculate button. Here is how the Circumferential strain given circumference calculation can be explained with given input values -> 0.0005 = 0.004/8.

FAQ

What is Circumferential strain given circumference?

The Circumferential strain given circumference formula is defined as the change in length, or we can say change in circumference of vessel which results in negative strain and is represented as e₁ = δC/C or Circumferential strain Thin Shell = Change in circumference/Original Circumference. Change in circumference is defined as change in the perimeter of a cylindrical vessel & Original Circumference is defined as original the perimeter of a cylindrical vessel.

How to calculate Circumferential strain given circumference?

The Circumferential strain given circumference formula is defined as the change in length, or we can say change in circumference of vessel which results in negative strain is calculated using Circumferential strain Thin Shell = Change in circumference/Original Circumference. To calculate Circumferential strain given circumference, you need Change in circumference (δC) & Original Circumference (C). With our tool, you need to enter the respective value for Change in circumference & Original Circumference 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 circumference & Original Circumference. We can use 5 other way(s) to calculate the same, which is/are as follows -

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
Circumferential strain Thin Shell = Change in Diameter/Original Diameter

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