Original circumference of thin cylindrical vessel given circumferential strain Calculator

✖Change in circumference is defined as change in the perimeter of a cylindrical vessel.ⓘ Change in circumference [δC]			+10% -10%
✖Circumferential strain Thin Shell represents the change in length.ⓘ Circumferential strain Thin Shell [e₁]			+10% -10%

✖Original Circumference is defined as original the perimeter of a cylindrical vessel.ⓘ Original circumference of thin cylindrical vessel given circumferential strain [C]

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Formula

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Original circumference of thin cylindrical vessel given circumferential strain

Formula

C = \frac{δC}{e 1}

Example

1.6 mm = \frac{4 mm}{2.5}

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Original circumference of thin cylindrical vessel given circumferential strain Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Change in circumference: 4 Millimeter --> 0.004 Meter (Check conversion here)
Circumferential strain Thin Shell: 2.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = δC/e₁ --> 0.004/2.5

Evaluating ... ...

C = 0.0016

STEP 3: Convert Result to Output's Unit

0.0016 Meter -->1.6 Millimeter (Check conversion here)

FINAL ANSWER

1.6 Millimeter <-- Original Circumference

(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 » Mechanical » Stress and Strain » Original circumference of thin cylindrical vessel given circumferential strain

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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< Stress and Strain Calculators

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))

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)

Original circumference of thin cylindrical vessel given circumferential strain Formula

Original Circumference = Change in circumference/Circumferential strain Thin Shell
C = δC/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 circumference of thin cylindrical vessel given circumferential strain?

Original circumference of thin cylindrical vessel given circumferential strain calculator uses Original Circumference = Change in circumference/Circumferential strain Thin Shell to calculate the Original Circumference, The Original circumference of thin cylindrical vessel given circumferential strain formula is defined as the perimeter of the thin cylindrical vessel. Original Circumference is denoted by C symbol.

How to calculate Original circumference of thin cylindrical vessel given circumferential strain using this online calculator? To use this online calculator for Original circumference of thin cylindrical vessel given circumferential strain, enter Change in circumference (δC) & Circumferential strain Thin Shell (e₁) and hit the calculate button. Here is how the Original circumference of thin cylindrical vessel given circumferential strain calculation can be explained with given input values -> 1600 = 0.004/2.5.

FAQ

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

The Original circumference of thin cylindrical vessel given circumferential strain formula is defined as the perimeter of the thin cylindrical vessel and is represented as C = δC/e₁ or Original Circumference = Change in circumference/Circumferential strain Thin Shell. Change in circumference is defined as change in the perimeter of a cylindrical vessel & Circumferential strain Thin Shell represents the change in length.

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

The Original circumference of thin cylindrical vessel given circumferential strain formula is defined as the perimeter of the thin cylindrical vessel is calculated using Original Circumference = Change in circumference/Circumferential strain Thin Shell. To calculate Original circumference of thin cylindrical vessel given circumferential strain, you need Change in circumference (δC) & Circumferential strain Thin Shell (e₁). With our tool, you need to enter the respective value for Change in circumference & 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.

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