FormulaDen.com

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

Modulus of elasticity for thin spherical shell given strain and internal fluid pressure Formula

GoModulus of elasticity given change in diameter of thin spherical shells Formula

GoModulus of elasticity of thin spherical shell given strain in any one direction Formula

Fx Copy

LaTeX Copy

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. Check FAQs

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

E - Modulus of Elasticity Of Thin Shell?P_i - Internal Pressure?D - Diameter of Sphere?t - Thickness Of Thin Spherical Shell?ε - Strain in thin shell?𝛎 - Poisson's Ratio?

Modulus of elasticity for thin spherical shell given strain and internal fluid pressure Example

With values

With units

Only example

Here is how the Modulus of elasticity for thin spherical shell given strain and internal fluid pressure equation looks like with Values.

Here is how the Modulus of elasticity for thin spherical shell given strain and internal fluid pressure equation looks like with Units.

Here is how the Modulus of elasticity for thin spherical shell given strain and internal fluid pressure equation looks like.

0.3865 = (\frac{0.053 \cdot 1500}{4 \cdot 12 \cdot 3}) \cdot (1 - 0.3)

0.3865MPa = (\frac{0.053MPa \cdot 1500mm}{4 \cdot 12mm \cdot 3}) \cdot (1 - 0.3)

0.3865 = (\frac{0.053 \cdot 1500}{4 \cdot 12 \cdot 3}) \cdot (1 - 0.3)

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 Modulus of elasticity for thin spherical shell given strain and internal fluid pressure

Modulus of elasticity for thin spherical shell given strain and internal fluid pressure Solution

Follow our step by step solution on how to calculate Modulus of elasticity for thin spherical shell given strain and internal fluid pressure?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E = (\frac{0.053MPa \cdot 1500mm}{4 \cdot 12mm \cdot 3}) \cdot (1 - 0.3)

Next Step Convert Units

∴

E = (\frac{53000Pa \cdot 1.5m}{4 \cdot 0.012m \cdot 3}) \cdot (1 - 0.3)

Next Step Prepare to Evaluate

∴

E = (\frac{53000 \cdot 1.5}{4 \cdot 0.012 \cdot 3}) \cdot (1 - 0.3)

Next Step Evaluate

∴

E = 386458.333333333Pa

Next Step Convert to Output's Unit

∴

E = 0.386458333333333MPa

LAST Step Rounding Answer

∴

E = 0.3865MPa

Modulus of elasticity for thin spherical shell given strain and internal fluid pressure Formula Elements

Variables

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

Internal Pressure is a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature.

Symbol: P_i

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Internal Pressure

Diameter of Sphere

Diameter of Sphere, is a chord that runs through the center point of the circle. It is the longest possible chord of any circle. The center of a circle is the midpoint of its diameter.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Sphere

Thickness Of Thin Spherical Shell

Thickness Of Thin Spherical 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 Spherical 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

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

Other Formulas to find Modulus of Elasticity Of Thin Shell

Go Modulus of elasticity given change in diameter of thin spherical shells

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

Go Modulus of elasticity of thin spherical shell given strain in any one direction

E = (\frac{σ θ}{ε}) \cdot (1 - 𝛎)

Go Modulus of elasticity given circumferential strain

E = \frac{σ θ - (𝛎 \cdot σ l)}{e 1}

Go Modulus of elasticity of shell material given change in length of cylindrical shell

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

How to Evaluate Modulus of elasticity for thin spherical shell given strain and internal fluid pressure?

Modulus of elasticity for thin spherical shell given strain and internal fluid pressure evaluator uses Modulus of Elasticity Of Thin Shell = ((Internal Pressure*Diameter of Sphere)/(4*Thickness Of Thin Spherical Shell*Strain in thin shell))*(1-Poisson's Ratio) to evaluate the Modulus of Elasticity Of Thin Shell, Modulus of elasticity for thin spherical shell given strain and internal fluid pressure formula is defined as a quantity that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when stress is applied to it. Modulus of Elasticity Of Thin Shell is denoted by E symbol.

How to evaluate Modulus of elasticity for thin spherical shell given strain and internal fluid pressure using this online evaluator? To use this online evaluator for Modulus of elasticity for thin spherical shell given strain and internal fluid pressure, enter Internal Pressure (P_i), Diameter of Sphere (D), Thickness Of Thin Spherical Shell (t), Strain in thin shell (ε) & Poisson's Ratio (𝛎) and hit the calculate button.

FAQs on Modulus of elasticity for thin spherical shell given strain and internal fluid pressure

What is the formula to find Modulus of elasticity for thin spherical shell given strain and internal fluid pressure?

The formula of Modulus of elasticity for thin spherical shell given strain and internal fluid pressure is expressed as Modulus of Elasticity Of Thin Shell = ((Internal Pressure*Diameter of Sphere)/(4*Thickness Of Thin Spherical Shell*Strain in thin shell))*(1-Poisson's Ratio). Here is an example- 3.9E-7 = ((53000*1.5)/(4*0.012*3))*(1-0.3).

How to calculate Modulus of elasticity for thin spherical shell given strain and internal fluid pressure?

With Internal Pressure (P_i), Diameter of Sphere (D), Thickness Of Thin Spherical Shell (t), Strain in thin shell (ε) & Poisson's Ratio (𝛎) we can find Modulus of elasticity for thin spherical shell given strain and internal fluid pressure using the formula - Modulus of Elasticity Of Thin Shell = ((Internal Pressure*Diameter of Sphere)/(4*Thickness Of Thin Spherical Shell*Strain in thin shell))*(1-Poisson's Ratio).

What are the other ways to Calculate Modulus of Elasticity Of Thin Shell?

Here are the different ways to Calculate Modulus of Elasticity Of Thin Shell-

Modulus of Elasticity Of Thin Shell=((Internal Pressure*(Diameter of Sphere^2))/(4*Thickness Of Thin Spherical Shell*Change in Diameter))*(1-Poisson's Ratio)
Modulus of Elasticity Of Thin Shell=(Hoop Stress in Thin shell/Strain in thin shell)*(1-Poisson's Ratio)
Modulus of Elasticity Of Thin Shell=(Hoop Stress in Thin shell-(Poisson's Ratio*Longitudinal Stress Thick Shell))/Circumferential Strain Thin Shell

Can the Modulus of elasticity for thin spherical shell given strain and internal fluid pressure be negative?

No, the Modulus of elasticity for thin spherical shell given strain and internal fluid pressure, measured in Pressure cannot be negative.

Which unit is used to measure Modulus of elasticity for thin spherical shell given strain and internal fluid pressure?

Modulus of elasticity for thin spherical shell given strain and internal fluid pressure is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Modulus of elasticity for thin spherical shell given strain and internal fluid pressure can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Modulus of elasticity for thin spherical shell given strain and internal fluid pressure Formula

​GoModulus of elasticity given change in diameter of thin spherical shells Formula

​GoModulus of elasticity of thin spherical shell given strain in any one direction Formula

Modulus of elasticity for thin spherical shell given strain and internal fluid pressure Example

Modulus of elasticity for thin spherical shell given strain and internal fluid pressure Solution

Modulus of elasticity for thin spherical shell given strain and internal fluid pressure Formula Elements

Other Formulas to find Modulus of Elasticity Of Thin Shell

How to Evaluate Modulus of elasticity for thin spherical shell given strain and internal fluid pressure?

FAQs on Modulus of elasticity for thin spherical shell given strain and internal fluid pressure

Variable Name

GoModulus of elasticity given change in diameter of thin spherical shells Formula

GoModulus of elasticity of thin spherical shell given strain in any one direction Formula