Internal fluid pressure given change in diameter of thin spherical shells Calculator

✖The Change in Diameter is the difference between the initial and final diameter.ⓘ Change in Diameter [∆d]			+10% -10%
✖Thickness Of Thin Spherical Shell is the distance through an object.ⓘ Thickness Of Thin Spherical 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%
✖Diameter of Sphere, is a chord that runs through the center point of the circle. It is the longest possible chord of any circle. The center of a circle is the midpoint of its diameter.ⓘ Diameter of Sphere [D]			+10% -10%

✖Internal Pressure is a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature.ⓘ Internal fluid pressure given change in diameter of thin spherical shells [P_i]

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Internal fluid pressure given change in diameter of thin spherical shells Solution

STEP 0: Pre-Calculation Summary

Formula Used

Internal Pressure = (Change in Diameter*(4*Thickness Of Thin Spherical Shell*Modulus of Elasticity Of Thin Shell)/(1-Poisson's Ratio))/(Diameter of Sphere^2)
P_i = (∆d*(4*t*E)/(1-𝛎))/(D^2)
This formula uses 6 Variables

Variables Used

Internal Pressure - (Measured in Pascal) - Internal Pressure is a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature.
Change in Diameter - (Measured in Meter) - The Change in Diameter is the difference between the initial and final diameter.
Thickness Of Thin Spherical Shell - (Measured in Meter) - Thickness Of Thin Spherical 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.
Diameter of Sphere - (Measured in Meter) - Diameter of Sphere, is a chord that runs through the center point of the circle. It is the longest possible chord of any circle. The center of a circle is the midpoint of its diameter.

STEP 1: Convert Input(s) to Base Unit

Change in Diameter: 173.9062 Millimeter --> 0.1739062 Meter (Check conversion here)
Thickness Of Thin Spherical Shell: 12 Millimeter --> 0.012 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
Diameter of Sphere: 1500 Millimeter --> 1.5 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_i = (∆d*(4*t*E)/(1-𝛎))/(D^2) --> (0.1739062*(4*0.012*10000000)/(1-0.3))/(1.5^2)

Evaluating ... ...

P_i = 52999.9847619048

STEP 3: Convert Result to Output's Unit

52999.9847619048 Pascal -->0.0529999847619048 Megapascal (Check conversion here)

FINAL ANSWER

0.0529999847619048 ≈ 0.053 Megapascal <-- Internal Pressure

(Calculation completed in 00.020 seconds)

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Home » Physics » Strength of Materials » Thin Cylinders And Spheres » Mechanical » Change in Dimension of Thin Spherical Shell due to Internal Pressure » Internal fluid pressure given change in diameter of thin spherical shells

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National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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< Change in Dimension of Thin Spherical Shell due to Internal Pressure Calculators

Hoop stress in thin spherical shell given strain in any one direction and Poisson's ratio

LaTeX Go Hoop Stress in Thin shell = (Strain in thin shell/(1-Poisson's Ratio))*Modulus of Elasticity Of Thin Shell

Modulus of elasticity of thin spherical shell given strain in any one direction

LaTeX Go Modulus of Elasticity Of Thin Shell = (Hoop Stress in Thin shell/Strain in thin shell)*(1-Poisson's Ratio)

Hoop stress induced in thin spherical shell given strain in any one direction

LaTeX Go Hoop Stress in Thin shell = (Strain in thin shell/(1-Poisson's Ratio))*Modulus of Elasticity Of Thin Shell

Strain in any one direction of thin spherical shell

LaTeX Go Strain in thin shell = (Hoop Stress in Thin shell/Modulus of Elasticity Of Thin Shell)*(1-Poisson's Ratio)

< Cylinders And Spheres Calculators

Diameter of spherical shell given change in diameter of thin spherical shells

LaTeX Go Diameter of Sphere = sqrt((Change in Diameter*(4*Thickness Of Thin Spherical Shell*Modulus of Elasticity Of Thin Shell)/(1-Poisson's Ratio))/(Internal Pressure))

Thickness of spherical shell given change in diameter of thin spherical shells

LaTeX Go Thickness Of Thin Spherical Shell = ((Internal Pressure*(Diameter of Sphere^2))/(4*Change in Diameter*Modulus of Elasticity Of Thin Shell))*(1-Poisson's Ratio)

Internal fluid pressure given change in diameter of thin spherical shells

LaTeX Go Internal Pressure = (Change in Diameter*(4*Thickness Of Thin Spherical Shell*Modulus of Elasticity Of Thin Shell)/(1-Poisson's Ratio))/(Diameter of Sphere^2)

Diameter of thin spherical shell given strain in any one direction

LaTeX Go Diameter of Sphere = (Strain in thin shell*(4*Thickness Of Thin Spherical Shell*Modulus of Elasticity Of Thin Shell)/(1-Poisson's Ratio))/(Internal Pressure)

Internal fluid pressure given change in diameter of thin spherical shells Formula

LaTeX Go

Internal Pressure = (Change in Diameter*(4*Thickness Of Thin Spherical Shell*Modulus of Elasticity Of Thin Shell)/(1-Poisson's Ratio))/(Diameter of Sphere^2)
P_i = (∆d*(4*t*E)/(1-𝛎))/(D^2)

How do you reduce stress hoop?

We can suggest that the most efficient method is to apply double cold expansion with high interferences along with axial compression with strain equal to 0.5%. This technique helps to reduce the absolute value of hoop residual stresses by 58%, and decrease radial stresses by 75%.

How to Calculate Internal fluid pressure given change in diameter of thin spherical shells?

Internal fluid pressure given change in diameter of thin spherical shells calculator uses Internal Pressure = (Change in Diameter*(4*Thickness Of Thin Spherical Shell*Modulus of Elasticity Of Thin Shell)/(1-Poisson's Ratio))/(Diameter of Sphere^2) to calculate the Internal Pressure, Internal fluid pressure given change in diameter of thin spherical shells formula is defined as a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature. Internal Pressure is denoted by P_i symbol.

How to calculate Internal fluid pressure given change in diameter of thin spherical shells using this online calculator? To use this online calculator for Internal fluid pressure given change in diameter of thin spherical shells, enter Change in Diameter (∆d), Thickness Of Thin Spherical Shell (t), Modulus of Elasticity Of Thin Shell (E), Poisson's Ratio (𝛎) & Diameter of Sphere (D) and hit the calculate button. Here is how the Internal fluid pressure given change in diameter of thin spherical shells calculation can be explained with given input values -> 1.5E-8 = (0.1739062*(4*0.012*10000000)/(1-0.3))/(1.5^2).

FAQ

What is Internal fluid pressure given change in diameter of thin spherical shells?

Internal fluid pressure given change in diameter of thin spherical shells formula is defined as a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature and is represented as P_i = (∆d*(4*t*E)/(1-𝛎))/(D^2) or Internal Pressure = (Change in Diameter*(4*Thickness Of Thin Spherical Shell*Modulus of Elasticity Of Thin Shell)/(1-Poisson's Ratio))/(Diameter of Sphere^2). The Change in Diameter is the difference between the initial and final diameter, Thickness Of Thin Spherical 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 & Diameter of Sphere, is a chord that runs through the center point of the circle. It is the longest possible chord of any circle. The center of a circle is the midpoint of its diameter.

How to calculate Internal fluid pressure given change in diameter of thin spherical shells?

Internal fluid pressure given change in diameter of thin spherical shells formula is defined as a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature is calculated using Internal Pressure = (Change in Diameter*(4*Thickness Of Thin Spherical Shell*Modulus of Elasticity Of Thin Shell)/(1-Poisson's Ratio))/(Diameter of Sphere^2). To calculate Internal fluid pressure given change in diameter of thin spherical shells, you need Change in Diameter (∆d), Thickness Of Thin Spherical Shell (t), Modulus of Elasticity Of Thin Shell (E), Poisson's Ratio (𝛎) & Diameter of Sphere (D). With our tool, you need to enter the respective value for Change in Diameter, Thickness Of Thin Spherical Shell, Modulus of Elasticity Of Thin Shell, Poisson's Ratio & Diameter of Sphere 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 Internal Pressure?

In this formula, Internal Pressure uses Change in Diameter, Thickness Of Thin Spherical Shell, Modulus of Elasticity Of Thin Shell, Poisson's Ratio & Diameter of Sphere. We can use 1 other way(s) to calculate the same, which is/are as follows -

Internal Pressure = (Strain in thin shell*(4*Thickness Of Thin Spherical Shell*Modulus of Elasticity Of Thin Shell)/(1-Poisson's Ratio))/(Diameter of Sphere)

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