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Modulus of elasticity of thin cylindrical vessel material given change in diameter Formula

GoModulus of elasticity given circumferential strain Formula

GoModulus of elasticity of thin cylindrical shell given volumetric strain 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 i}^{2})}{2 \cdot t \cdot ∆d}) \cdot (1 - (\frac{𝛎}{2}))

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

Modulus of elasticity of thin cylindrical vessel material given change in diameter Example

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Here is how the Modulus of elasticity of thin cylindrical vessel material given change in diameter equation looks like with Values.

Here is how the Modulus of elasticity of thin cylindrical vessel material given change in diameter equation looks like with Units.

Here is how the Modulus of elasticity of thin cylindrical vessel material given change in diameter equation looks like.

0.5611 = (\frac{14 \cdot (50^{2})}{2 \cdot 525 \cdot 50.5}) \cdot (1 - (\frac{0.3}{2}))

0.5611MPa = (\frac{14MPa \cdot ({50mm}^{2})}{2 \cdot 525mm \cdot 50.5mm}) \cdot (1 - (\frac{0.3}{2}))

0.5611 = (\frac{14 \cdot (50^{2})}{2 \cdot 525 \cdot 50.5}) \cdot (1 - (\frac{0.3}{2}))

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Modulus of elasticity of thin cylindrical vessel material given change in diameter Solution

Follow our step by step solution on how to calculate Modulus of elasticity of thin cylindrical vessel material given change in diameter?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E = (\frac{14MPa \cdot ({50mm}^{2})}{2 \cdot 525mm \cdot 50.5mm}) \cdot (1 - (\frac{0.3}{2}))

Next Step Convert Units

∴

E = (\frac{1.4E+7Pa \cdot ({0.05m}^{2})}{2 \cdot 0.525m \cdot 0.0505m}) \cdot (1 - (\frac{0.3}{2}))

Next Step Prepare to Evaluate

∴

E = (\frac{1.4E+7 \cdot ({0.05}^{2})}{2 \cdot 0.525 \cdot 0.0505}) \cdot (1 - (\frac{0.3}{2}))

Next Step Evaluate

∴

E = 561056.105610561Pa

Next Step Convert to Output's Unit

∴

E = 0.561056105610561MPa

LAST Step Rounding Answer

∴

E = 0.5611MPa

Modulus of elasticity of thin cylindrical vessel material given change in diameter 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 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

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

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 given circumferential strain

E = \frac{σ θ - (𝛎 \cdot σ l)}{e 1}

Go Modulus of elasticity of thin cylindrical shell given volumetric strain

E = (P i \cdot \frac{D}{2 \cdot ε v \cdot t}) \cdot ((\frac{5}{2}) - 𝛎)

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)

Go Modulus of elasticity of vessel given circumferential strain

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

How to Evaluate Modulus of elasticity of thin cylindrical vessel material given change in diameter?

Modulus of elasticity of thin cylindrical vessel material given change in diameter evaluator uses Modulus of Elasticity Of Thin Shell = ((Internal Pressure in thin shell*(Inner Diameter of Cylinder^2))/(2*Thickness Of Thin Shell*Change in Diameter))*(1-(Poisson's Ratio/2)) to evaluate the Modulus of Elasticity Of Thin Shell, The Modulus of elasticity of thin cylindrical vessel material given change in diameter formula is defined as the measure of the stiffness of a material. in other words, it is a measure of how easily any material can be bend or stretch. Modulus of Elasticity Of Thin Shell is denoted by E symbol.

How to evaluate Modulus of elasticity of thin cylindrical vessel material given change in diameter using this online evaluator? To use this online evaluator for Modulus of elasticity of thin cylindrical vessel material given change in diameter, enter Internal Pressure in thin shell (P_i), Inner Diameter of Cylinder (D_i), Thickness Of Thin Shell (t), Change in Diameter (∆d) & Poisson's Ratio (𝛎) and hit the calculate button.

FAQs on Modulus of elasticity of thin cylindrical vessel material given change in diameter

What is the formula to find Modulus of elasticity of thin cylindrical vessel material given change in diameter?

The formula of Modulus of elasticity of thin cylindrical vessel material given change in diameter is expressed as Modulus of Elasticity Of Thin Shell = ((Internal Pressure in thin shell*(Inner Diameter of Cylinder^2))/(2*Thickness Of Thin Shell*Change in Diameter))*(1-(Poisson's Ratio/2)). Here is an example- 5.6E-7 = ((14000000*(0.05^2))/(2*0.525*0.0505))*(1-(0.3/2)).

How to calculate Modulus of elasticity of thin cylindrical vessel material given change in diameter?

With Internal Pressure in thin shell (P_i), Inner Diameter of Cylinder (D_i), Thickness Of Thin Shell (t), Change in Diameter (∆d) & Poisson's Ratio (𝛎) we can find Modulus of elasticity of thin cylindrical vessel material given change in diameter using the formula - Modulus of Elasticity Of Thin Shell = ((Internal Pressure in thin shell*(Inner Diameter of Cylinder^2))/(2*Thickness Of Thin Shell*Change in Diameter))*(1-(Poisson's Ratio/2)).

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=(Hoop Stress in Thin shell-(Poisson's Ratio*Longitudinal Stress Thick Shell))/Circumferential strain Thin Shell
Modulus of Elasticity Of Thin Shell=(Internal Pressure in thin shell*Diameter of Shell/(2*Volumetric Strain*Thickness Of Thin Shell))*((5/2)-Poisson's Ratio)
Modulus of Elasticity Of Thin Shell=((Internal Pressure in thin shell*Diameter of Shell*Length Of Cylindrical Shell)/(2*Thickness Of Thin Shell*Change in Length))*((1/2)-Poisson's Ratio)

Can the Modulus of elasticity of thin cylindrical vessel material given change in diameter be negative?

No, the Modulus of elasticity of thin cylindrical vessel material given change in diameter, measured in Pressure cannot be negative.

Which unit is used to measure Modulus of elasticity of thin cylindrical vessel material given change in diameter?

Modulus of elasticity of thin cylindrical vessel material given change in diameter 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 of thin cylindrical vessel material given change in diameter can be measured.

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Modulus of elasticity of thin cylindrical vessel material given change in diameter Formula

​GoModulus of elasticity given circumferential strain Formula

​GoModulus of elasticity of thin cylindrical shell given volumetric strain Formula

Modulus of elasticity of thin cylindrical vessel material given change in diameter Example

Modulus of elasticity of thin cylindrical vessel material given change in diameter Solution

Modulus of elasticity of thin cylindrical vessel material given change in diameter Formula Elements

Other Formulas to find Modulus of Elasticity Of Thin Shell

How to Evaluate Modulus of elasticity of thin cylindrical vessel material given change in diameter?

FAQs on Modulus of elasticity of thin cylindrical vessel material given change in diameter

Variable Name

GoModulus of elasticity given circumferential strain Formula

GoModulus of elasticity of thin cylindrical shell given volumetric strain Formula