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 spherical shell given strain in any one direction Formula

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

GoPoisson's ratio given change in diameter of thin spherical shells 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 = 1 - (E \cdot \frac{ε}{σ θ})

𝛎 - Poisson's Ratio?E - Modulus of Elasticity Of Thin Shell?ε - Strain in thin shell?σ_θ - Hoop Stress in Thin shell?

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

With values

With units

Only example

Here is how the Poisson's ratio for thin spherical shell given strain in any one direction equation looks like with Values.

Here is how the Poisson's ratio for thin spherical shell given strain in any one direction equation looks like with Units.

Here is how the Poisson's ratio for thin spherical shell given strain in any one direction equation looks like.

-0.1986 = 1 - (10 \cdot \frac{3}{25.03})

-0.1986 = 1 - (10MPa \cdot \frac{3}{25.03MPa})

-0.1986 = 1 - (10 \cdot \frac{3}{25.03})

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 spherical shell given strain in any one direction

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

Follow our step by step solution on how to calculate Poisson's ratio for thin spherical shell given strain in any one direction?

FIRST Step Consider the formula

𝛎 = 1 - (E \cdot \frac{ε}{σ θ})

Next Step Substitute values of Variables

∴

𝛎 = 1 - (10MPa \cdot \frac{3}{25.03MPa})

Next Step Convert Units

∴

𝛎 = 1 - (1E+7Pa \cdot \frac{3}{2.5E+7Pa})

Next Step Prepare to Evaluate

∴

𝛎 = 1 - (1E+7 \cdot \frac{3}{2.5E+7})

Next Step Evaluate

∴

𝛎 = -0.198561725928885

LAST Step Rounding Answer

∴

𝛎 = -0.1986

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

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

Strain in thin shell

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

Symbol: ε

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Strain in thin shell

Hoop Stress in Thin shell

Hoop Stress in Thin shell is the circumferential stress in a cylinder.

Symbol: σ_θ

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Hoop Stress in Thin shell

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 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 for thin cylindrical vessel given change in diameter

𝛎 = 2 \cdot (1 - \frac{∆d \cdot (2 \cdot t \cdot E)}{((P i \cdot ({D i}^{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 spherical shell given strain in any one direction?

Poisson's ratio for thin spherical shell given strain in any one direction evaluator uses Poisson's Ratio = 1-(Modulus of Elasticity Of Thin Shell*Strain in thin shell/Hoop Stress in Thin shell) to evaluate the Poisson's Ratio, The Poisson's ratio for thin spherical shell given strain in any one direction formula is defined as the ratio of the change in the width per unit width of a material, to the change in its length per unit length, as a result of strain. Poisson's Ratio is denoted by 𝛎 symbol.

How to evaluate Poisson's ratio for thin spherical shell given strain in any one direction using this online evaluator? To use this online evaluator for Poisson's ratio for thin spherical shell given strain in any one direction, enter Modulus of Elasticity Of Thin Shell (E), Strain in thin shell (ε) & Hoop Stress in Thin shell (σ_θ) and hit the calculate button.

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

What is the formula to find Poisson's ratio for thin spherical shell given strain in any one direction?

The formula of Poisson's ratio for thin spherical shell given strain in any one direction is expressed as Poisson's Ratio = 1-(Modulus of Elasticity Of Thin Shell*Strain in thin shell/Hoop Stress in Thin shell). Here is an example- -0.198562 = 1-(10000000*3/25030000).

How to calculate Poisson's ratio for thin spherical shell given strain in any one direction?

With Modulus of Elasticity Of Thin Shell (E), Strain in thin shell (ε) & Hoop Stress in Thin shell (σ_θ) we can find Poisson's ratio for thin spherical shell given strain in any one direction using the formula - Poisson's Ratio = 1-(Modulus of Elasticity Of Thin Shell*Strain in thin shell/Hoop Stress in Thin shell).

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-(Change in Diameter*(4*Thickness Of Thin Spherical Shell*Modulus of Elasticity Of Thin Shell)/(Internal Pressure*(Diameter of Sphere^2)))
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)))))

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit