FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

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

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

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

Fx Copy

LaTeX Copy

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. Check FAQs

𝛎 = 2 \cdot (1 - \frac{∆d \cdot (2 \cdot t \cdot E)}{((P i \cdot ({D i}^{2})))})

𝛎 - Poisson's Ratio?∆d - Change in Diameter?t - Thickness of Thin Shell?E - Modulus of Elasticity Of Thin Shell?P_i - Internal Pressure in thin shell?D_i - Inner Diameter of Cylinder?

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

With values

With units

Only example

Here is how the Poisson's ratio for thin cylindrical vessel given change in diameter equation looks like with Values.

Here is how the Poisson's ratio for thin cylindrical vessel given change in diameter equation looks like with Units.

Here is how the Poisson's ratio for thin cylindrical vessel given change in diameter equation looks like.

1.9965 = 2 \cdot (1 - \frac{2.7 \cdot (2 \cdot 3.8 \cdot 10)}{((14 \cdot (91^{2})))})

1.9965 = 2 \cdot (1 - \frac{2.7mm \cdot (2 \cdot 3.8mm \cdot 10MPa)}{((14MPa \cdot ({91mm}^{2})))})

1.9965 = 2 \cdot (1 - \frac{2.7 \cdot (2 \cdot 3.8 \cdot 10)}{((14 \cdot (91^{2})))})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Strength of Materials » fx Poisson's ratio for thin cylindrical vessel given change in diameter

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

Follow our step by step solution on how to calculate Poisson's ratio for thin cylindrical vessel given change in diameter?

FIRST Step Consider the formula

𝛎 = 2 \cdot (1 - \frac{∆d \cdot (2 \cdot t \cdot E)}{((P i \cdot ({D i}^{2})))})

Next Step Substitute values of Variables

∴

𝛎 = 2 \cdot (1 - \frac{2.7mm \cdot (2 \cdot 3.8mm \cdot 10MPa)}{((14MPa \cdot ({91mm}^{2})))})

Next Step Convert Units

∴

𝛎 = 2 \cdot (1 - \frac{0.0027m \cdot (2 \cdot 0.0038m \cdot 1E+7Pa)}{((1.4E+7Pa \cdot ({0.091m}^{2})))})

Next Step Prepare to Evaluate

∴

𝛎 = 2 \cdot (1 - \frac{0.0027 \cdot (2 \cdot 0.0038 \cdot 1E+7)}{((1.4E+7 \cdot ({0.091}^{2})))})

Next Step Evaluate

∴

𝛎 = 1.9964600548588

LAST Step Rounding Answer

∴

𝛎 = 1.9965

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

Variables

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.

Symbol: 𝛎

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Poisson's Ratio

Change in Diameter

The Change in Diameter is the difference between the initial and final diameter.

Symbol: ∆d

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Change in Diameter

Thickness of Thin Shell

Thickness of Thin Shell is the distance through an object.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Thin Shell

Modulus of Elasticity Of Thin Shell

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.

Symbol: E

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity Of Thin Shell

Internal Pressure in thin shell

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.

Symbol: P_i

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Internal Pressure in thin shell

Inner Diameter of Cylinder

Inner Diameter of Cylinder is the diameter of the inside of the cylinder.

Symbol: D_i

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Inner Diameter of Cylinder

Other Formulas to find Poisson's Ratio

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

𝛎 = 1 - (ε \cdot \frac{4 \cdot t \cdot E}{P i \cdot D})

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

𝛎 = 1 - (E \cdot \frac{ε}{σ θ})

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

𝛎 = 1 - (∆d \cdot \frac{4 \cdot t \cdot E}{P i \cdot (D^{2})})

Go Poisson's ratio given change in length of cylindrical shell

𝛎 = (\frac{1}{2}) - (\frac{ΔL \cdot (2 \cdot t \cdot E)}{(P i \cdot D \cdot L cylinder)})

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

Poisson's ratio for thin cylindrical vessel given change in diameter evaluator 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 evaluate 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 evaluate Poisson's ratio for thin cylindrical vessel given change in diameter using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Poisson's ratio for thin cylindrical vessel given change in diameter?

The formula of Poisson's ratio for thin cylindrical vessel given change in diameter is expressed as 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))))). Here is an example- 1.99646 = 2*(1-(0.0027*(2*0.0038*10000000))/(((14000000*(0.091^2))))).

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

With 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) we can find Poisson's ratio for thin cylindrical vessel given change in diameter using the formula - 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))))).

What are the other ways to Calculate Poisson's Ratio?

Here are the different ways to Calculate Poisson's Ratio-

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

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

​GoPoisson's ratio for thin spherical shell given strain and internal fluid pressure Formula

​GoPoisson's ratio for thin spherical shell given strain in any one direction Formula

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

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

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

Other Formulas to find Poisson's Ratio

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

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

Variable Name

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

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