Poisson's ratio for thin cylindrical vessel given change in diameter Calculator

✖The Change in Diameter is the difference between the initial and final diameter.ⓘ Change in Diameter [∆d]			+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%
✖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%

✖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 for thin cylindrical vessel given change in diameter [𝛎]

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Poisson's ratio for thin cylindrical vessel given change in diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Change in Diameter - (Measured in Meter) - The Change in Diameter is the difference between the initial and final diameter.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Change in Diameter: 2.7 Millimeter --> 0.0027 Meter (Check conversion here)
Thickness of Thin Shell: 3.8 Millimeter --> 0.0038 Meter (Check conversion here)
Modulus of Elasticity Of Thin Shell: 10 Megapascal --> 10000000 Pascal (Check conversion here)
Internal Pressure in thin shell: 14 Megapascal --> 14000000 Pascal (Check conversion here)
Inner Diameter of Cylinder: 91 Millimeter --> 0.091 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝛎 = 2*(1-(∆d*(2*t*E))/(((P_i*(D_i^2))))) --> 2*(1-(0.0027*(2*0.0038*10000000))/(((14000000*(0.091^2)))))

Evaluating ... ...

𝛎 = 1.9964600548588

STEP 3: Convert Result to Output's Unit

1.9964600548588 --> No Conversion Required

FINAL ANSWER

1.9964600548588 ≈ 1.99646 <-- Poisson's Ratio

(Calculation completed in 00.004 seconds)

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< Poisson's Ratio Calculators

Poisson's ratio given change in length of cylindrical shell

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

Poisson's ratio given circumferential strain

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

Poisson's ratio for thin cylindrical vessel given change in diameter

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

Poisson's ratio given circumferential strain and hoop stress

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

< Poisson's ratio Calculators

Poisson's ratio for thin cylindrical vessel given change in diameter

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

Poisson's ratio given change in diameter of thin spherical shells

LaTeX Go Poisson's Ratio = 1-(Change in Diameter*(4*Thickness Of Thin Spherical Shell*Modulus of Elasticity Of Thin Shell)/(Internal Pressure*(Diameter of Sphere^2)))

Poisson's ratio for thin spherical shell given strain and internal fluid pressure

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

Poisson's ratio for thin spherical shell given strain in any one direction

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

Poisson's ratio for thin cylindrical vessel given change in diameter 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 Poisson's ratio for thin cylindrical vessel given change in diameter?

Poisson's ratio for thin cylindrical vessel given change in diameter calculator uses Poisson's Ratio = 2*(1-(Change in Diameter*(2*Thickness of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Internal Pressure in thin shell*(Inner Diameter of Cylinder^2))))) to calculate the Poisson's Ratio, The Poisson's ratio for thin cylindrical vessel given change in diameter formula is defined as a measure of the Poisson effect, the phenomenon in which a material tends to expand in directions perpendicular to the direction of compression. Poisson's Ratio is denoted by 𝛎 symbol.

How to calculate Poisson's ratio for thin cylindrical vessel given change in diameter using this online calculator? To use this online calculator for Poisson's ratio for thin cylindrical vessel given change in diameter, enter Change in Diameter (∆d), Thickness of Thin Shell (t), Modulus of Elasticity Of Thin Shell (E), Internal Pressure in thin shell (P_i) & Inner Diameter of Cylinder (D_i) and hit the calculate button. Here is how the Poisson's ratio for thin cylindrical vessel given change in diameter calculation can be explained with given input values -> 1.99646 = 2*(1-(0.0027*(2*0.0038*10000000))/(((14000000*(0.091^2))))).

FAQ

What is Poisson's ratio for thin cylindrical vessel given change in diameter?

The Poisson's ratio for thin cylindrical vessel given change in diameter formula is defined as a measure of the Poisson effect, the phenomenon in which a material tends to expand in directions perpendicular to the direction of compression and is represented as 𝛎 = 2*(1-(∆d*(2*t*E))/(((P_i*(D_i^2))))) or Poisson's Ratio = 2*(1-(Change in Diameter*(2*Thickness of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Internal Pressure in thin shell*(Inner Diameter of Cylinder^2))))). The Change in Diameter is the difference between the initial and final diameter, 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, 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.

How to calculate Poisson's ratio for thin cylindrical vessel given change in diameter?

The Poisson's ratio for thin cylindrical vessel given change in diameter formula is defined as a measure of the Poisson effect, the phenomenon in which a material tends to expand in directions perpendicular to the direction of compression is calculated using Poisson's Ratio = 2*(1-(Change in Diameter*(2*Thickness of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Internal Pressure in thin shell*(Inner Diameter of Cylinder^2))))). To calculate Poisson's ratio for thin cylindrical vessel given change in diameter, you need Change in Diameter (∆d), Thickness of Thin Shell (t), Modulus of Elasticity Of Thin Shell (E), Internal Pressure in thin shell (P_i) & Inner Diameter of Cylinder (D_i). With our tool, you need to enter the respective value for Change in Diameter, Thickness of Thin Shell, Modulus of Elasticity Of Thin Shell, Internal Pressure in thin shell & Inner Diameter of Cylinder 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 Poisson's Ratio?

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

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

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