Change in diameter of vessel given internal fluid pressure Calculator

✖Internal Pressure in thin shell is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.ⓘ Internal Pressure in thin shell [P_i]			+10% -10%
✖Inner Diameter of Cylinder is the diameter of the inside of the cylinder.ⓘ Inner Diameter of Cylinder [D_i]			+10% -10%
✖Thickness Of Thin Shell is the distance through an object.ⓘ Thickness Of Thin Shell [t]			+10% -10%
✖Modulus of Elasticity Of Thin Shell is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it.ⓘ Modulus of Elasticity Of Thin Shell [E]			+10% -10%
✖Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.ⓘ Poisson's Ratio [𝛎]			+10% -10%

✖The Change in Diameter is the difference between the initial and final diameter.ⓘ Change in diameter of vessel given internal fluid pressure [∆d]

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Change in diameter of vessel given internal fluid pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
∆d = ((P_i*(D_i^2))/(2*t*E))*(1-(𝛎/2))
This formula uses 6 Variables

Variables Used

Change in Diameter - (Measured in Meter) - The Change in Diameter is the difference between the initial and final diameter.
Internal Pressure in thin shell - (Measured in Pascal) - Internal Pressure in thin shell is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.
Inner Diameter of Cylinder - (Measured in Meter) - Inner Diameter of Cylinder is the diameter of the inside of the cylinder.
Thickness Of Thin Shell - (Measured in Meter) - Thickness Of Thin Shell is the distance through an object.
Modulus of Elasticity Of Thin Shell - (Measured in Pascal) - Modulus of Elasticity Of Thin Shell is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it.
Poisson's Ratio - Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.

STEP 1: Convert Input(s) to Base Unit

Internal Pressure in thin shell: 14 Megapascal --> 14000000 Pascal (Check conversion here)
Inner Diameter of Cylinder: 50 Millimeter --> 0.05 Meter (Check conversion here)
Thickness Of Thin Shell: 525 Millimeter --> 0.525 Meter (Check conversion here)
Modulus of Elasticity Of Thin Shell: 10 Megapascal --> 10000000 Pascal (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∆d = ((P_i*(D_i^2))/(2*t*E))*(1-(𝛎/2)) --> ((14000000*(0.05^2))/(2*0.525*10000000))*(1-(0.3/2))

Evaluating ... ...

∆d = 0.00283333333333333

STEP 3: Convert Result to Output's Unit

0.00283333333333333 Meter -->2.83333333333333 Millimeter (Check conversion here)

FINAL ANSWER

2.83333333333333 ≈ 2.833333 Millimeter <-- Change in Diameter

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Change in Dimensions Calculators

Change in diameter of vessel given internal fluid pressure

LaTeX 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

LaTeX 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 diameter in thin cylindrical strain given volumetric strain

LaTeX Go Change in Diameter = (Volumetric Strain-(Change in Length/Length Of Cylindrical Shell))*Diameter of Shell/2

Change in circumference of vessel due to pressure given circumferential strain

LaTeX Go Change in Circumference = Original Circumference*Circumferential Strain Thin Shell

< Change in Dimension Calculators

Change in diameter of vessel given internal fluid pressure

LaTeX 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

LaTeX 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 diameter in thin cylindrical strain given volumetric strain

LaTeX Go Change in Diameter = (Volumetric Strain-(Change in Length/Length Of Cylindrical Shell))*Diameter of Shell/2

Change in circumference of vessel due to pressure given circumferential strain

LaTeX Go Change in Circumference = Original Circumference*Circumferential Strain Thin Shell

Change in diameter of vessel given internal fluid pressure Formula

LaTeX Go

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 vessel given internal fluid pressure?

Change in diameter of vessel given internal fluid pressure calculator uses 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)) to calculate the Change in Diameter, Change in diameter of vessel given internal fluid pressure is the 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 vessel given internal fluid pressure using this online calculator? To use this online calculator for Change in diameter of vessel given internal fluid pressure, enter Internal Pressure in thin shell (P_i), Inner Diameter of Cylinder (D_i), Thickness Of Thin Shell (t), Modulus of Elasticity Of Thin Shell (E) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Change in diameter of vessel given internal fluid pressure calculation can be explained with given input values -> 2833.333 = ((14000000*(0.05^2))/(2*0.525*10000000))*(1-(0.3/2)).

FAQ

What is Change in diameter of vessel given internal fluid pressure?

Change in diameter of vessel given internal fluid pressure is the change in length of the chord that runs through the center point of the base of a cylindrical vessel and is represented as ∆d = ((P_i*(D_i^2))/(2*t*E))*(1-(𝛎/2)) or 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)). Internal Pressure in thin shell is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature, Inner Diameter of Cylinder is the diameter of the inside of the cylinder, Thickness Of Thin Shell is the distance through an object, Modulus of Elasticity Of Thin Shell is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it & Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.

How to calculate Change in diameter of vessel given internal fluid pressure?

Change in diameter of vessel given internal fluid pressure is the 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 = ((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)). To calculate Change in diameter of vessel given internal fluid pressure, you need Internal Pressure in thin shell (P_i), Inner Diameter of Cylinder (D_i), Thickness Of Thin Shell (t), Modulus of Elasticity Of Thin Shell (E) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Internal Pressure in thin shell, Inner Diameter of Cylinder, Thickness Of Thin Shell, Modulus of Elasticity Of Thin Shell & Poisson's Ratio 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 Internal Pressure in thin shell, Inner Diameter of Cylinder, Thickness Of Thin Shell, Modulus of Elasticity Of Thin Shell & Poisson's Ratio. 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 = Circumferential Strain Thin Shell*Original Diameter

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