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

✖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 Sphere [D]			+10% -10%
✖Strain in thin shell is simply the measure of how much an object is stretched or deformed.ⓘ Strain in thin shell [ε]			+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%

✖Thickness Of Thin Spherical Shell is the distance through an object.ⓘ Thickness of thin spherical shell given strain in any one direction [t]

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

STEP 0: Pre-Calculation Summary

Formula Used

Thickness Of Thin Spherical Shell = ((Internal Pressure*Diameter of Sphere)/(4*Strain in thin shell*Modulus of Elasticity Of Thin Shell))*(1-Poisson's Ratio)
t = ((P_i*D)/(4*ε*E))*(1-𝛎)
This formula uses 6 Variables

Variables Used

Thickness Of Thin Spherical Shell - (Measured in Meter) - Thickness Of Thin Spherical Shell is the distance through an object.
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.
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.
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: 0.053 Megapascal --> 53000 Pascal (Check conversion here)
Diameter of Sphere: 1500 Millimeter --> 1.5 Meter (Check conversion here)
Strain in thin shell: 3 --> No Conversion Required
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

t = ((P_i*D)/(4*ε*E))*(1-𝛎) --> ((53000*1.5)/(4*3*10000000))*(1-0.3)

Evaluating ... ...

t = 0.00046375

STEP 3: Convert Result to Output's Unit

0.00046375 Meter -->0.46375 Millimeter (Check conversion here)

FINAL ANSWER

0.46375 Millimeter <-- Thickness Of Thin Spherical Shell

(Calculation completed in 00.004 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 » Thickness of thin spherical shell given strain in any one direction

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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)

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

LaTeX Go

Thickness Of Thin Spherical Shell = ((Internal Pressure*Diameter of Sphere)/(4*Strain in thin shell*Modulus of Elasticity Of Thin Shell))*(1-Poisson's Ratio)
t = ((P_i*D)/(4*ε*E))*(1-𝛎)

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

Thickness of thin spherical shell given strain in any one direction calculator uses Thickness Of Thin Spherical Shell = ((Internal Pressure*Diameter of Sphere)/(4*Strain in thin shell*Modulus of Elasticity Of Thin Shell))*(1-Poisson's Ratio) to calculate the Thickness Of Thin Spherical Shell, The Thickness of thin spherical shell given strain in any one direction formula is defined as the distance through an object, as distinct from width or height. Thickness Of Thin Spherical Shell is denoted by t symbol.

How to calculate Thickness of thin spherical shell given strain in any one direction using this online calculator? To use this online calculator for Thickness of thin spherical shell given strain in any one direction, enter Internal Pressure (P_i), Diameter of Sphere (D), Strain in thin shell (ε), Modulus of Elasticity Of Thin Shell (E) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Thickness of thin spherical shell given strain in any one direction calculation can be explained with given input values -> 463.75 = ((53000*1.5)/(4*3*10000000))*(1-0.3).

FAQ

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

The Thickness of thin spherical shell given strain in any one direction formula is defined as the distance through an object, as distinct from width or height and is represented as t = ((P_i*D)/(4*ε*E))*(1-𝛎) or Thickness Of Thin Spherical Shell = ((Internal Pressure*Diameter of Sphere)/(4*Strain in thin shell*Modulus of Elasticity Of Thin Shell))*(1-Poisson's Ratio). Internal Pressure is a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature, 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 is simply the measure of how much an object is stretched or deformed, 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 Thickness of thin spherical shell given strain in any one direction?

The Thickness of thin spherical shell given strain in any one direction formula is defined as the distance through an object, as distinct from width or height is calculated using Thickness Of Thin Spherical Shell = ((Internal Pressure*Diameter of Sphere)/(4*Strain in thin shell*Modulus of Elasticity Of Thin Shell))*(1-Poisson's Ratio). To calculate Thickness of thin spherical shell given strain in any one direction, you need Internal Pressure (P_i), Diameter of Sphere (D), Strain in thin shell (ε), Modulus of Elasticity Of Thin Shell (E) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Internal Pressure, Diameter of Sphere, Strain in 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 Thickness Of Thin Spherical Shell?

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

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)

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