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 00.004 seconds)

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

Vessel Calculators

Internal diameter of thin cylindrical vessel given circumferential strain
​ LaTeX ​ 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 in thin cylindrical vessel given change in diameter
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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 circumference of thin cylindrical vessel given circumferential strain Formula

​LaTeX ​Go
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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