Strain in thin spherical shell given internal fluid pressure 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%
✖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%

✖Strain in thin shell is simply the measure of how much an object is stretched or deformed.ⓘ Strain in thin spherical shell given internal fluid pressure [ε]

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Strain in thin spherical shell given internal fluid pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε = ((P_i*D)/(4*t*E))*(1-𝛎) --> ((53000*1.5)/(4*0.012*10000000))*(1-0.3)

Evaluating ... ...

ε = 0.1159375

STEP 3: Convert Result to Output's Unit

0.1159375 --> No Conversion Required

FINAL ANSWER

0.1159375 ≈ 0.115937 <-- Strain in thin shell

(Calculation completed in 00.008 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 » Strain in thin spherical shell given internal fluid pressure

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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)

< Strain Calculators

Strain in thin spherical shell given internal fluid pressure

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

Circumferential strain given hoop stress

LaTeX Go Circumferential Strain Thin Shell = (Hoop Stress in Thin shell-(Poisson's Ratio*Longitudinal Stress Thick Shell))/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)

Circumferential strain given circumference

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

Strain in thin spherical shell given internal fluid pressure Formula

LaTeX Go

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

Strain in thin spherical shell given internal fluid pressure calculator uses Strain in thin shell = ((Internal Pressure*Diameter of Sphere)/(4*Thickness Of Thin Spherical Shell*Modulus of Elasticity Of Thin Shell))*(1-Poisson's Ratio) to calculate the Strain in thin shell, The Strain in thin spherical shell given internal fluid pressure formula is defined as simply the measure of how much an object is stretched or deformed. Strain in thin shell is denoted by ε symbol.

How to calculate Strain in thin spherical shell given internal fluid pressure using this online calculator? To use this online calculator for Strain in thin spherical shell given internal fluid pressure, enter Internal Pressure (P_i), Diameter of Sphere (D), Thickness Of Thin Spherical Shell (t), Modulus of Elasticity Of Thin Shell (E) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Strain in thin spherical shell given internal fluid pressure calculation can be explained with given input values -> 0.115937 = ((53000*1.5)/(4*0.012*10000000))*(1-0.3).

FAQ

What is Strain in thin spherical shell given internal fluid pressure?

The Strain in thin spherical shell given internal fluid pressure formula is defined as simply the measure of how much an object is stretched or deformed and is represented as ε = ((P_i*D)/(4*t*E))*(1-𝛎) or Strain in thin shell = ((Internal Pressure*Diameter of Sphere)/(4*Thickness Of Thin Spherical 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, 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.

How to calculate Strain in thin spherical shell given internal fluid pressure?

The Strain in thin spherical shell given internal fluid pressure formula is defined as simply the measure of how much an object is stretched or deformed is calculated using Strain in thin shell = ((Internal Pressure*Diameter of Sphere)/(4*Thickness Of Thin Spherical Shell*Modulus of Elasticity Of Thin Shell))*(1-Poisson's Ratio). To calculate Strain in thin spherical shell given internal fluid pressure, you need Internal Pressure (P_i), Diameter of Sphere (D), Thickness Of Thin Spherical 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, Diameter of Sphere, Thickness Of Thin Spherical 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 Strain in thin shell?

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

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

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