Internal fluid pressure given circumferential strain Calculator

✖Circumferential strain Thin Shell represents the change in length.ⓘ Circumferential Strain Thin Shell [e₁]			+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%
✖Inner Diameter of Cylinder is the diameter of the inside of the cylinder.ⓘ Inner Diameter of Cylinder [D_i]			+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 in thin shell is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.ⓘ Internal fluid pressure given circumferential strain [P_i]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Strength of Materials Formula PDF PDF Image

Internal fluid pressure given circumferential strain Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Circumferential Strain Thin Shell - Circumferential strain Thin Shell represents the change in length.
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.
Inner Diameter of Cylinder - (Measured in Meter) - Inner Diameter of Cylinder is the diameter of the inside of the cylinder.
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

Circumferential Strain Thin Shell: 2.5 --> No Conversion Required
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)
Inner Diameter of Cylinder: 50 Millimeter --> 0.05 Meter (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_i = (e₁*(2*t*E))/(((D_i))*((1/2)-𝛎)) --> (2.5*(2*0.525*10000000))/(((0.05))*((1/2)-0.3))

Evaluating ... ...

P_i = 2625000000

STEP 3: Convert Result to Output's Unit

2625000000 Pascal -->2625 Megapascal (Check conversion here)

FINAL ANSWER

2625 Megapascal <-- Internal Pressure in thin shell

(Calculation completed in 00.020 seconds)

You are here -

Home » Physics » Strength of Materials » Thin Cylinders And Spheres » Effect of Internal Pressure on Dimension of Thin Cylindrical Shell » Mechanical » Stress and Strain » Internal fluid pressure given circumferential strain

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< Stress and Strain Calculators

Internal diameter of thin cylindrical vessel given circumferential strain

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

Internal fluid pressure given circumferential strain

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

Longitudinal stress given circumferential strain

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

Hoop stress given circumferential strain

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

< 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)

Internal fluid pressure given circumferential strain 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 Internal fluid pressure given circumferential strain?

Internal fluid pressure given circumferential strain calculator uses Internal Pressure in thin shell = (Circumferential Strain Thin Shell*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Inner Diameter of Cylinder))*((1/2)-Poisson's Ratio)) to calculate the Internal Pressure in thin shell, The Internal fluid pressure given circumferential strain formula is defined as a measure of how the internal energy of a system changes when it expands or contracts at constant temperature. Internal Pressure in thin shell is denoted by P_i symbol.

How to calculate Internal fluid pressure given circumferential strain using this online calculator? To use this online calculator for Internal fluid pressure given circumferential strain, enter Circumferential Strain Thin Shell (e₁), Thickness Of Thin Shell (t), Modulus of Elasticity Of Thin Shell (E), Inner Diameter of Cylinder (D_i) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Internal fluid pressure given circumferential strain calculation can be explained with given input values -> 0.002625 = (2.5*(2*0.525*10000000))/(((0.05))*((1/2)-0.3)).

FAQ

What is Internal fluid pressure given circumferential strain?

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

The Internal fluid pressure given circumferential strain formula is defined as a measure of how the internal energy of a system changes when it expands or contracts at constant temperature is calculated using Internal Pressure in thin shell = (Circumferential Strain Thin Shell*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Inner Diameter of Cylinder))*((1/2)-Poisson's Ratio)). To calculate Internal fluid pressure given circumferential strain, you need Circumferential Strain Thin Shell (e₁), Thickness Of Thin Shell (t), Modulus of Elasticity Of Thin Shell (E), Inner Diameter of Cylinder (D_i) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Circumferential Strain Thin Shell, Thickness Of Thin Shell, Modulus of Elasticity Of Thin Shell, Inner Diameter of Cylinder & 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 Internal Pressure in thin shell?

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

Internal Pressure in thin shell = (Longitudinal Strain*2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell)/((Inner Diameter of Cylinder)*((1/2)-Poisson's Ratio))
Internal Pressure in thin shell = (Change in Diameter*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/((((Inner Diameter of Cylinder^2)))*(1-(Poisson's Ratio/2)))
Internal Pressure in thin shell = (Change in Length*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Diameter of Shell*Length Of Cylindrical Shell))*((1/2)-Poisson's Ratio))

Home

FREE PDFs

🔍 Search