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Modulus of elasticity given compressive radial strain and Poisson's ratio Formula

GoModulus of elasticity for thick spherical shell given compressive radial strain Formula

GoModulus of elasticity thick spherical shell given tensile radial strain Formula

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Adjusted design value for compression corrects the design value by using some factor. Check FAQs

F' c = \frac{P v + (2 \cdot σ θ \cdot 𝛎)}{ε compressive}

F'_c - Adjusted design value?P_v - Radial Pressure?σ_θ - Hoop Stress on thick shell?𝛎 - Poisson's Ratio?ε_compressive - Compressive Strain?

Modulus of elasticity given compressive radial strain and Poisson's ratio Example

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Here is how the Modulus of elasticity given compressive radial strain and Poisson's ratio equation looks like with Values.

Here is how the Modulus of elasticity given compressive radial strain and Poisson's ratio equation looks like with Units.

Here is how the Modulus of elasticity given compressive radial strain and Poisson's ratio equation looks like.

0.152 = \frac{0.014 + (2 \cdot 0.002 \cdot 0.3)}{0.1}

0.152MPa = \frac{0.014MPa/m² + (2 \cdot 0.002MPa \cdot 0.3)}{0.1}

0.152 = \frac{0.014 + (2 \cdot 0.002 \cdot 0.3)}{0.1}

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Modulus of elasticity given compressive radial strain and Poisson's ratio Solution

Follow our step by step solution on how to calculate Modulus of elasticity given compressive radial strain and Poisson's ratio?

FIRST Step Consider the formula

F' c = \frac{P v + (2 \cdot σ θ \cdot 𝛎)}{ε compressive}

Next Step Substitute values of Variables

∴

F' c = \frac{0.014MPa/m² + (2 \cdot 0.002MPa \cdot 0.3)}{0.1}

Next Step Convert Units

∴

F' c = \frac{14000Pa/m² + (2 \cdot 2000Pa \cdot 0.3)}{0.1}

Next Step Prepare to Evaluate

∴

F' c = \frac{14000 + (2 \cdot 2000 \cdot 0.3)}{0.1}

Next Step Evaluate

∴

F' c = 152000Pa

LAST Step Convert to Output's Unit

∴

F' c = 0.152MPa

Modulus of elasticity given compressive radial strain and Poisson's ratio Formula Elements

Variables

Adjusted design value

Adjusted design value for compression corrects the design value by using some factor.

Symbol: F'_c

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Adjusted design value

Radial Pressure

Radial Pressure is pressure towards or away from the central axis of a component.

Symbol: P_v

Measurement: Radial PressureUnit: MPa/m²

Note: Value can be positive or negative.

Formulas to find Radial Pressure

Hoop Stress on thick shell

Hoop Stress on thick 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 on thick 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

Compressive Strain

The Compressive Strain is the ratio of change in length to the original length of the body when subjected to a compressive load.

Symbol: ε_compressive

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Compressive Strain

Other Formulas to find Adjusted design value

Go Modulus of elasticity for thick spherical shell given compressive radial strain

F' c = \frac{P v + (2 \cdot \frac{σ θ}{M})}{ε compressive}

Go Modulus of elasticity thick spherical shell given tensile radial strain

F' c = (\frac{P v + (2 \cdot \frac{σ θ}{M})}{ε tensile})

Go Modulus of elasticity given tensile radial strain and Poisson's ratio

F' c = (\frac{P v + (2 \cdot σ θ \cdot 𝛎)}{ε tensile})

Go Modulus of elasticity given tensile circumferential strain for thick spherical shell

F' c = \frac{σ θ \cdot (\frac{M - 1}{M}) + (\frac{P v}{M})}{e 1}

Other formulas in Thick Spherical Shells category

Go Compressive radial strain for thick spherical shells

ε compressive = \frac{P v + (2 \cdot \frac{σ θ}{M})}{F' c}

Go Radial pressure on thick spherical shell given compressive radial strain

P v = (F' c \cdot ε compressive) - (2 \cdot \frac{σ θ}{M})

Go Hoop stress on thick spherical shell given compressive radial strain

σ θ = ((E \cdot ε compressive) - P v) \cdot \frac{M}{2}

Go Mass of thick spherical shell given compressive radial strain

M = \frac{2 \cdot σ θ}{(E \cdot ε compressive) - P v}

How to Evaluate Modulus of elasticity given compressive radial strain and Poisson's ratio?

Modulus of elasticity given compressive radial strain and Poisson's ratio evaluator uses Adjusted design value = (Radial Pressure+(2*Hoop Stress on thick shell*Poisson's Ratio))/Compressive Strain to evaluate the Adjusted design value, Modulus of elasticity given compressive radial strain and Poisson's ratio formula is defined as a measure of a material's ability to deform elastically when a compressive load is applied. It relates the stress and strain in thick spherical shells, providing insights into material behavior under pressure. Adjusted design value is denoted by F'_c symbol.

How to evaluate Modulus of elasticity given compressive radial strain and Poisson's ratio using this online evaluator? To use this online evaluator for Modulus of elasticity given compressive radial strain and Poisson's ratio, enter Radial Pressure (P_v), Hoop Stress on thick shell (σ_θ), Poisson's Ratio (𝛎) & Compressive Strain (ε_compressive) and hit the calculate button.

FAQs on Modulus of elasticity given compressive radial strain and Poisson's ratio

What is the formula to find Modulus of elasticity given compressive radial strain and Poisson's ratio?

The formula of Modulus of elasticity given compressive radial strain and Poisson's ratio is expressed as Adjusted design value = (Radial Pressure+(2*Hoop Stress on thick shell*Poisson's Ratio))/Compressive Strain. Here is an example- 1.5E-7 = (14000+(2*2000*0.3))/0.1.

How to calculate Modulus of elasticity given compressive radial strain and Poisson's ratio?

With Radial Pressure (P_v), Hoop Stress on thick shell (σ_θ), Poisson's Ratio (𝛎) & Compressive Strain (ε_compressive) we can find Modulus of elasticity given compressive radial strain and Poisson's ratio using the formula - Adjusted design value = (Radial Pressure+(2*Hoop Stress on thick shell*Poisson's Ratio))/Compressive Strain.

What are the other ways to Calculate Adjusted design value?

Here are the different ways to Calculate Adjusted design value-

Adjusted design value=(Radial Pressure+(2*Hoop Stress on thick shell/Mass Of Shell))/Compressive Strain
Adjusted design value=((Radial Pressure+(2*Hoop Stress on thick shell/Mass Of Shell))/Tensile Strain)
Adjusted design value=((Radial Pressure+(2*Hoop Stress on thick shell*Poisson's Ratio))/Tensile Strain)

Can the Modulus of elasticity given compressive radial strain and Poisson's ratio be negative?

No, the Modulus of elasticity given compressive radial strain and Poisson's ratio, measured in Pressure cannot be negative.

Which unit is used to measure Modulus of elasticity given compressive radial strain and Poisson's ratio?

Modulus of elasticity given compressive radial strain and Poisson's ratio 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 compressive radial strain and Poisson's ratio can be measured.

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Modulus of elasticity given compressive radial strain and Poisson's ratio Formula

​GoModulus of elasticity for thick spherical shell given compressive radial strain Formula

​GoModulus of elasticity thick spherical shell given tensile radial strain Formula

Modulus of elasticity given compressive radial strain and Poisson's ratio Example

Modulus of elasticity given compressive radial strain and Poisson's ratio Solution

Modulus of elasticity given compressive radial strain and Poisson's ratio Formula Elements

Other Formulas to find Adjusted design value

Other formulas in Thick Spherical Shells category

How to Evaluate Modulus of elasticity given compressive radial strain and Poisson's ratio?

FAQs on Modulus of elasticity given compressive radial strain and Poisson's ratio

Variable Name

GoModulus of elasticity for thick spherical shell given compressive radial strain Formula

GoModulus of elasticity thick spherical shell given tensile radial strain Formula