Circumferential strain given internal fluid pressure Calculator

✖Internal Pressure in thin shell is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.ⓘ Internal Pressure in thin shell [P_i]			+10% -10%
✖Inner Diameter of Cylinder is the diameter of the inside of the cylinder.ⓘ Inner Diameter of Cylinder [D_i]			+10% -10%
✖Thickness Of Thin Shell is the distance through an object.ⓘ Thickness Of Thin 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%

✖Circumferential strain Thin Shell represents the change in length.ⓘ Circumferential strain given internal fluid pressure [e₁]

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Circumferential strain given internal fluid pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumferential Strain Thin Shell = ((Internal Pressure in thin shell*Inner Diameter of Cylinder)/(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))*((1/2)-Poisson's Ratio)
e₁ = ((P_i*D_i)/(2*t*E))*((1/2)-𝛎)
This formula uses 6 Variables

Variables Used

Circumferential Strain Thin Shell - Circumferential strain Thin Shell represents the change in length.
Internal Pressure in thin shell - (Measured in Pascal) - Internal Pressure in thin shell is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.
Inner Diameter of Cylinder - (Measured in Meter) - Inner Diameter of Cylinder is the diameter of the inside of the cylinder.
Thickness Of Thin Shell - (Measured in Meter) - Thickness Of Thin 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 in thin shell: 14 Megapascal --> 14000000 Pascal (Check conversion here)
Inner Diameter of Cylinder: 50 Millimeter --> 0.05 Meter (Check conversion here)
Thickness Of Thin Shell: 525 Millimeter --> 0.525 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

e₁ = ((P_i*D_i)/(2*t*E))*((1/2)-𝛎) --> ((14000000*0.05)/(2*0.525*10000000))*((1/2)-0.3)

Evaluating ... ...

e₁ = 0.0133333333333333

STEP 3: Convert Result to Output's Unit

0.0133333333333333 --> No Conversion Required

FINAL ANSWER

0.0133333333333333 ≈ 0.013333 <-- Circumferential Strain Thin Shell

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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< Deformation Calculators

Circumferential strain given internal fluid pressure

LaTeX Go Circumferential Strain Thin Shell = ((Internal Pressure in thin shell*Inner Diameter of Cylinder)/(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))*((1/2)-Poisson's Ratio)

Longitudinal strain in thin cylindrical vessel given internal fluid pressure

LaTeX Go Longitudinal Strain = ((Internal Pressure in thin shell*Inner Diameter of Cylinder)/(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))*((1/2)-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

Longitudinal strain given hoop and longitudinal stress

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

< 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

Circumferential strain given internal fluid pressure Formula

LaTeX Go

What is meant by hoop stress?

The hoop stress, or tangential stress, is the stress around the circumference of the pipe due to a pressure gradient. The maximum hoop stress always occurs at the inner radius or the outer radius depending on the direction of the pressure gradient.

How to Calculate Circumferential strain given internal fluid pressure?

Circumferential strain given internal fluid pressure calculator uses Circumferential Strain Thin Shell = ((Internal Pressure in thin shell*Inner Diameter of Cylinder)/(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))*((1/2)-Poisson's Ratio) to calculate the Circumferential Strain Thin Shell, The Circumferential strain given internal fluid pressure formula is defined as the change in length or circumference. Circumferential Strain Thin Shell is denoted by e₁ symbol.

How to calculate Circumferential strain given internal fluid pressure using this online calculator? To use this online calculator for Circumferential strain given internal fluid pressure, enter Internal Pressure in thin shell (P_i), Inner Diameter of Cylinder (D_i), Thickness Of Thin Shell (t), Modulus of Elasticity Of Thin Shell (E) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Circumferential strain given internal fluid pressure calculation can be explained with given input values -> 0.013333 = ((14000000*0.05)/(2*0.525*10000000))*((1/2)-0.3).

FAQ

What is Circumferential strain given internal fluid pressure?

The Circumferential strain given internal fluid pressure formula is defined as the change in length or circumference and is represented as e₁ = ((P_i*D_i)/(2*t*E))*((1/2)-𝛎) or Circumferential Strain Thin Shell = ((Internal Pressure in thin shell*Inner Diameter of Cylinder)/(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))*((1/2)-Poisson's Ratio). Internal Pressure in thin shell is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature, Inner Diameter of Cylinder is the diameter of the inside of the cylinder, Thickness Of Thin 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 Circumferential strain given internal fluid pressure?

The Circumferential strain given internal fluid pressure formula is defined as the change in length or circumference is calculated using Circumferential Strain Thin Shell = ((Internal Pressure in thin shell*Inner Diameter of Cylinder)/(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))*((1/2)-Poisson's Ratio). To calculate Circumferential strain given internal fluid pressure, you need Internal Pressure in thin shell (P_i), Inner Diameter of Cylinder (D_i), Thickness Of Thin 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 in thin shell, Inner Diameter of Cylinder, Thickness Of 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 Circumferential Strain Thin Shell?

In this formula, Circumferential Strain Thin Shell uses Internal Pressure in thin shell, Inner Diameter of Cylinder, Thickness Of Thin Shell, Modulus of Elasticity Of Thin Shell & Poisson's Ratio. We can use 3 other way(s) to calculate the same, which is/are as follows -

Circumferential Strain Thin Shell = (Hoop Stress in Thin shell-(Poisson's Ratio*Longitudinal Stress Thick Shell))/Modulus of Elasticity Of Thin Shell
Circumferential Strain Thin Shell = Change in Circumference/Original Circumference
Circumferential Strain Thin Shell = Change in Diameter/Original Diameter

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