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 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur
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Effect of Internal Pressure on Dimension of Thin Cylindrical Shell 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 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?
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 and is represented as d = ∆d/e1 or Original Diameter = Change in Diameter/Circumferential strain Thin Shell. The Change in Diameter is the difference between the initial and final diameter & Circumferential strain Thin Shell represents the change in length.
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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