Change in diameter of thin cylindrical vessel (Circumferential strain) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Change in Diameter = Circumferential strain Thin Shell*Original Diameter
∆d = e1*d
This formula uses 3 Variables
Variables Used
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.
Original Diameter - (Measured in Meter) - The Original Diameter is the initial diameter of material.
STEP 1: Convert Input(s) to Base Unit
Circumferential strain Thin Shell: 2.5 --> No Conversion Required
Original Diameter: 2000 Millimeter --> 2 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
∆d = e1*d --> 2.5*2
Evaluating ... ...
∆d = 5
STEP 3: Convert Result to Output's Unit
5 Meter -->5000 Millimeter (Check conversion here)
FINAL ANSWER
5000 Millimeter <-- Change in Diameter
(Calculation completed in 00.020 seconds)

Credits

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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12 Change in Dimensions Calculators

Change in length of thin cylindrical shell given internal fluid pressure
Go Change in Length = ((Internal Pressure in thin shell*Diameter of Shell*Length Of Cylindrical Shell)/(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))*((1/2)-Poisson's Ratio)
Change in diameter of vessel given internal fluid pressure
Go Change in Diameter = ((Internal Pressure in thin shell*(Inner Diameter of Cylinder^2))/(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))*(1-(Poisson's Ratio/2))
Change in diameter of cylindrical shell given change in volume of cylindrical shell
Go Change in Diameter = ((Change in Volume/(pi/4))-(Change in Length*(Diameter of Shell^2)))/(2*Diameter of Shell*Length Of Cylindrical Shell)
Change in length of cylindrical shell given change in volume of cylindrical shell
Go Change in Length = ((Change in Volume/(pi/4))-(2*Diameter of Shell*Length Of Cylindrical Shell*Change in Diameter))/((Diameter of Shell^2))
Change in volume of thin cylindrical shell
Go Change in Volume = (pi/4)*((2*Diameter of Shell*Length Of Cylindrical Shell*Change in Diameter)+(Change in Length*(Diameter of Shell^2)))
Change in diameter in thin cylindrical strain given volumetric strain
Go Change in Diameter = (Volumetric Strain-(Change in Length/Length Of Cylindrical Shell))*Diameter of Shell/2
Change in length in thin cylindrical strain given volumetric strain
Go Change in Length = (Volumetric Strain-(2*Change in Diameter/Diameter of Shell))*Length Of Cylindrical Shell
Change in volume given circumferential strain and longitudinal strain
Go Change in Volume = Volume of Thin Cylindrical Shell*((2*Circumferential strain Thin Shell)+Longitudinal Strain)
Change in circumference of vessel due to pressure given circumferential strain
Go Change in circumference = Original Circumference*Circumferential strain Thin Shell
Change in diameter of thin cylindrical vessel (Circumferential strain)
Go Change in Diameter = Circumferential strain Thin Shell*Original Diameter
Change in length of thin cylindrical vessel given longitudinal strain
Go Change in Length = Longitudinal Strain*Initial Length
Change in volume of cylindrical shell given volumetric strain
Go Change in Volume = Volumetric Strain*Original Volume

Change in diameter of thin cylindrical vessel (Circumferential strain) Formula

Change in Diameter = Circumferential strain Thin Shell*Original Diameter
∆d = e1*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 Change in diameter of thin cylindrical vessel (Circumferential strain)?

Change in diameter of thin cylindrical vessel (Circumferential strain) calculator uses Change in Diameter = Circumferential strain Thin Shell*Original Diameter to calculate the Change in Diameter, Change in diameter of thin cylindrical vessel (Circumferential strain) is defined as a change in length of the chord that runs through the center point of the base of a cylindrical vessel. Change in Diameter is denoted by ∆d symbol.

How to calculate Change in diameter of thin cylindrical vessel (Circumferential strain) using this online calculator? To use this online calculator for Change in diameter of thin cylindrical vessel (Circumferential strain), enter Circumferential strain Thin Shell (e1) & Original Diameter (d) and hit the calculate button. Here is how the Change in diameter of thin cylindrical vessel (Circumferential strain) calculation can be explained with given input values -> 5E+6 = 2.5*2.

FAQ

What is Change in diameter of thin cylindrical vessel (Circumferential strain)?
Change in diameter of thin cylindrical vessel (Circumferential strain) is defined as a change in length of the chord that runs through the center point of the base of a cylindrical vessel and is represented as ∆d = e1*d or Change in Diameter = Circumferential strain Thin Shell*Original Diameter. Circumferential strain Thin Shell represents the change in length & The Original Diameter is the initial diameter of material.
How to calculate Change in diameter of thin cylindrical vessel (Circumferential strain)?
Change in diameter of thin cylindrical vessel (Circumferential strain) is defined as a change in length of the chord that runs through the center point of the base of a cylindrical vessel is calculated using Change in Diameter = Circumferential strain Thin Shell*Original Diameter. To calculate Change in diameter of thin cylindrical vessel (Circumferential strain), you need Circumferential strain Thin Shell (e1) & Original Diameter (d). With our tool, you need to enter the respective value for Circumferential strain Thin Shell & 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 Change in Diameter?
In this formula, Change in Diameter uses Circumferential strain Thin Shell & Original Diameter. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Change in Diameter = (Volumetric Strain-(Change in Length/Length Of Cylindrical Shell))*Diameter of Shell/2
  • Change in Diameter = ((Change in Volume/(pi/4))-(Change in Length*(Diameter of Shell^2)))/(2*Diameter of Shell*Length Of Cylindrical Shell)
  • Change in Diameter = ((Internal Pressure in thin shell*(Inner Diameter of Cylinder^2))/(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))*(1-(Poisson's Ratio/2))
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