Modulus of elasticity given change in diameter of thin spherical shells 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%
✖Thickness Of Thin Spherical Shell is the distance through an object.ⓘ Thickness Of Thin Spherical Shell [t]			+10% -10%
✖The Change in Diameter is the difference between the initial and final diameter.ⓘ Change in Diameter [∆d]			+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%

✖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 given change in diameter of thin spherical shells [E]

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Modulus of elasticity given change in diameter of thin spherical shells Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
Thickness Of Thin Spherical Shell - (Measured in Meter) - Thickness Of Thin Spherical Shell is the distance through an object.
Change in Diameter - (Measured in Meter) - The Change in Diameter is the difference between the initial and final diameter.
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)
Thickness Of Thin Spherical Shell: 12 Millimeter --> 0.012 Meter (Check conversion here)
Change in Diameter: 50.5 Millimeter --> 0.0505 Meter (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = ((P_i*(D^2))/(4*t*∆d))*(1-𝛎) --> ((53000*(1.5^2))/(4*0.012*0.0505))*(1-0.3)

Evaluating ... ...

E = 34436881.1881188

STEP 3: Convert Result to Output's Unit

34436881.1881188 Pascal -->34.4368811881188 Megapascal (Check conversion here)

FINAL ANSWER

34.4368811881188 ≈ 34.43688 Megapascal <-- Modulus of Elasticity Of Thin Shell

(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)

Modulus of elasticity given change in diameter of thin spherical shells Formula

LaTeX Go

Modulus of Elasticity Of Thin Shell = ((Internal Pressure*(Diameter of Sphere^2))/(4*Thickness Of Thin Spherical Shell*Change in Diameter))*(1-Poisson's Ratio)
E = ((P_i*(D^2))/(4*t*∆d))*(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 Modulus of elasticity given change in diameter of thin spherical shells?

Modulus of elasticity given change in diameter of thin spherical shells calculator uses Modulus of Elasticity Of Thin Shell = ((Internal Pressure*(Diameter of Sphere^2))/(4*Thickness Of Thin Spherical Shell*Change in Diameter))*(1-Poisson's Ratio) to calculate the Modulus of Elasticity Of Thin Shell, Modulus of elasticity given change in diameter of thin spherical shells formula is defined as a quantity that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when stress is applied to it. Modulus of Elasticity Of Thin Shell is denoted by E symbol.

How to calculate Modulus of elasticity given change in diameter of thin spherical shells using this online calculator? To use this online calculator for Modulus of elasticity given change in diameter of thin spherical shells, enter Internal Pressure (P_i), Diameter of Sphere (D), Thickness Of Thin Spherical Shell (t), Change in Diameter (∆d) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Modulus of elasticity given change in diameter of thin spherical shells calculation can be explained with given input values -> 3.4E-5 = ((53000*(1.5^2))/(4*0.012*0.0505))*(1-0.3).

FAQ

What is Modulus of elasticity given change in diameter of thin spherical shells?

Modulus of elasticity given change in diameter of thin spherical shells formula is defined as a quantity that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when stress is applied to it and is represented as E = ((P_i*(D^2))/(4*t*∆d))*(1-𝛎) or Modulus of Elasticity Of Thin Shell = ((Internal Pressure*(Diameter of Sphere^2))/(4*Thickness Of Thin Spherical Shell*Change in Diameter))*(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, Thickness Of Thin Spherical Shell is the distance through an object, The Change in Diameter is the difference between the initial and final diameter & 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 Modulus of elasticity given change in diameter of thin spherical shells?

Modulus of elasticity given change in diameter of thin spherical shells formula is defined as a quantity that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when stress is applied to it is calculated using Modulus of Elasticity Of Thin Shell = ((Internal Pressure*(Diameter of Sphere^2))/(4*Thickness Of Thin Spherical Shell*Change in Diameter))*(1-Poisson's Ratio). To calculate Modulus of elasticity given change in diameter of thin spherical shells, you need Internal Pressure (P_i), Diameter of Sphere (D), Thickness Of Thin Spherical Shell (t), Change in Diameter (∆d) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Internal Pressure, Diameter of Sphere, Thickness Of Thin Spherical Shell, Change in Diameter & 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 Modulus of Elasticity Of Thin Shell?

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

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

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