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

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

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

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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^{2})}{4 \cdot t \cdot ∆d}) \cdot (1 - 𝛎)

E - Modulus of Elasticity Of Thin Shell?P_i - Internal Pressure?D - Diameter of Sphere?t - Thickness Of Thin Spherical Shell?∆d - Change in Diameter?𝛎 - Poisson's Ratio?

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

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Here is how the Modulus of elasticity given change in diameter of thin spherical shells equation looks like with Values.

Here is how the Modulus of elasticity given change in diameter of thin spherical shells equation looks like with Units.

Here is how the Modulus of elasticity given change in diameter of thin spherical shells equation looks like.

10 = (\frac{0.053 \cdot (1500^{2})}{4 \cdot 12 \cdot 173.9062}) \cdot (1 - 0.3)

10MPa = (\frac{0.053MPa \cdot ({1500mm}^{2})}{4 \cdot 12mm \cdot 173.9062mm}) \cdot (1 - 0.3)

10 = (\frac{0.053 \cdot (1500^{2})}{4 \cdot 12 \cdot 173.9062}) \cdot (1 - 0.3)

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

Follow our step by step solution on how to calculate Modulus of elasticity given change in diameter of thin spherical shells?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E = (\frac{0.053MPa \cdot ({1500mm}^{2})}{4 \cdot 12mm \cdot 173.9062mm}) \cdot (1 - 0.3)

Next Step Convert Units

∴

E = (\frac{53000Pa \cdot ({1.5m}^{2})}{4 \cdot 0.012m \cdot 0.1739m}) \cdot (1 - 0.3)

Next Step Prepare to Evaluate

∴

E = (\frac{53000 \cdot ({1.5}^{2})}{4 \cdot 0.012 \cdot 0.1739}) \cdot (1 - 0.3)

Next Step Evaluate

∴

E = 10000002.8751131Pa

Next Step Convert to Output's Unit

∴

E = 10.0000028751131MPa

LAST Step Rounding Answer

∴

E = 10MPa

Modulus of elasticity given change in diameter of thin spherical shells 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

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

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 for thin spherical shell given strain and internal fluid pressure

E = (\frac{P i \cdot D}{4 \cdot t \cdot ε}) \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 given change in diameter of thin spherical shells?

Modulus of elasticity given change in diameter of thin spherical shells evaluator uses 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) to evaluate the Modulus of Elasticity Of Thin Shell, Modulus of elasticity given change in diameter of thin spherical shells 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 given change in diameter of thin spherical shells using this online evaluator? To use this online evaluator for Modulus of elasticity given change in diameter of thin spherical shells, enter Internal Pressure (P_i), Diameter of Sphere (D), Thickness Of Thin Spherical Shell (t), Change in Diameter (∆d) & Poisson's Ratio (𝛎) and hit the calculate button.

FAQs on Modulus of elasticity given change in diameter of thin spherical shells

What is the formula to find Modulus of elasticity given change in diameter of thin spherical shells?

The formula of Modulus of elasticity given change in diameter of thin spherical shells is expressed as 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). Here is an example- 3.4E-5 = ((53000*(1.5^2))/(4*0.012*0.1739062))*(1-0.3).

How to calculate Modulus of elasticity given change in diameter of thin spherical shells?

With Internal Pressure (P_i), Diameter of Sphere (D), Thickness Of Thin Spherical Shell (t), Change in Diameter (∆d) & Poisson's Ratio (𝛎) we can find Modulus of elasticity given change in diameter of thin spherical shells using the formula - 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).

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)/(4*Thickness Of Thin Spherical Shell*Strain in thin shell))*(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 given change in diameter of thin spherical shells be negative?

No, the Modulus of elasticity given change in diameter of thin spherical shells, measured in Pressure cannot be negative.

Which unit is used to measure Modulus of elasticity given change in diameter of thin spherical shells?

Modulus of elasticity given change in diameter of thin spherical shells 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 given change in diameter of thin spherical shells can be measured.

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

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

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

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

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

Modulus of elasticity given change in diameter of thin spherical shells Formula Elements

Other Formulas to find Modulus of Elasticity Of Thin Shell

How to Evaluate Modulus of elasticity given change in diameter of thin spherical shells?

FAQs on Modulus of elasticity given change in diameter of thin spherical shells

Variable Name

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

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