Diameter of thin spherical shell given strain in any one direction Calculator

✖Strain in thin shell is simply the measure of how much an object is stretched or deformed.ⓘ Strain in thin shell [ε]			+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%
✖Internal Pressure is a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature.ⓘ Internal Pressure [P_i]			+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 thin spherical shell given strain in any one direction [D]

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Diameter of thin spherical shell given strain in any one direction Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
D = (ε*(4*t*E)/(1-𝛎))/(P_i)
This formula uses 6 Variables

Variables Used

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.
Strain in thin shell - Strain in thin shell is simply the measure of how much an object is stretched or deformed.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Strain in thin shell: 3 --> No Conversion Required
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
Internal Pressure: 0.053 Megapascal --> 53000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = (ε*(4*t*E)/(1-𝛎))/(P_i) --> (3*(4*0.012*10000000)/(1-0.3))/(53000)

Evaluating ... ...

D = 38.8140161725067

STEP 3: Convert Result to Output's Unit

38.8140161725067 Meter -->38814.0161725067 Millimeter (Check conversion here)

FINAL ANSWER

38814.0161725067 ≈ 38814.02 Millimeter <-- Diameter of Sphere

(Calculation completed in 00.004 seconds)

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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)

Diameter of thin spherical shell given strain in any one direction Formula

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)
D = (ε*(4*t*E)/(1-𝛎))/(P_i)

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 Diameter of thin spherical shell given strain in any one direction?

Diameter of thin spherical shell given strain in any one direction calculator uses 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) to calculate the Diameter of Sphere, The Diameter of thin spherical shell given strain in any one direction formula is defined as a chord that runs through the center point of the circle. It is the longest possible chord of any circle. Diameter of Sphere is denoted by D symbol.

How to calculate Diameter of thin spherical shell given strain in any one direction using this online calculator? To use this online calculator for Diameter of thin spherical shell given strain in any one direction, enter Strain in thin shell (ε), Thickness Of Thin Spherical Shell (t), Modulus of Elasticity Of Thin Shell (E), Poisson's Ratio (𝛎) & Internal Pressure (P_i) and hit the calculate button. Here is how the Diameter of thin spherical shell given strain in any one direction calculation can be explained with given input values -> 3.9E+7 = (3*(4*0.012*10000000)/(1-0.3))/(53000).

FAQ

What is Diameter of thin spherical shell given strain in any one direction?

The Diameter of thin spherical shell given strain in any one direction formula is defined as a chord that runs through the center point of the circle. It is the longest possible chord of any circle and is represented as D = (ε*(4*t*E)/(1-𝛎))/(P_i) or 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). Strain in thin shell is simply the measure of how much an object is stretched or deformed, 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 & Internal Pressure is a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature.

How to calculate Diameter of thin spherical shell given strain in any one direction?

The Diameter of thin spherical shell given strain in any one direction formula is defined as a chord that runs through the center point of the circle. It is the longest possible chord of any circle is calculated using 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). To calculate Diameter of thin spherical shell given strain in any one direction, you need Strain in thin shell (ε), Thickness Of Thin Spherical Shell (t), Modulus of Elasticity Of Thin Shell (E), Poisson's Ratio (𝛎) & Internal Pressure (P_i). With our tool, you need to enter the respective value for Strain in thin shell, Thickness Of Thin Spherical Shell, Modulus of Elasticity Of Thin Shell, Poisson's Ratio & Internal Pressure 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 Diameter of Sphere?

In this formula, Diameter of Sphere uses Strain in thin shell, Thickness Of Thin Spherical Shell, Modulus of Elasticity Of Thin Shell, Poisson's Ratio & Internal Pressure. We can use 2 other way(s) to calculate the same, which is/are as follows -

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))
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))

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