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Modulus of elasticity given tensile 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 tensile})

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

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

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

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

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

0.0253 = (\frac{0.014 + (2 \cdot 0.002 \cdot 0.3)}{0.6})

0.0253MPa = (\frac{0.014MPa/m² + (2 \cdot 0.002MPa \cdot 0.3)}{0.6})

0.0253 = (\frac{0.014 + (2 \cdot 0.002 \cdot 0.3)}{0.6})

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

F' c = (\frac{0.014MPa/m² + (2 \cdot 0.002MPa \cdot 0.3)}{0.6})

Next Step Convert Units

∴

F' c = (\frac{14000Pa/m² + (2 \cdot 2000Pa \cdot 0.3)}{0.6})

Next Step Prepare to Evaluate

∴

F' c = (\frac{14000 + (2 \cdot 2000 \cdot 0.3)}{0.6})

Next Step Evaluate

∴

F' c = 25333.3333333333Pa

Next Step Convert to Output's Unit

∴

F' c = 0.0253333333333333MPa

LAST Step Rounding Answer

∴

F' c = 0.0253MPa

Modulus of elasticity given tensile 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

Tensile Strain

Tensile Strain is the ratio of change in length to original length.

Symbol: ε_tensile

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Tensile 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 compressive radial strain and Poisson's ratio

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

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 tensile radial strain and Poisson's ratio?

Modulus of elasticity given tensile radial strain and Poisson's ratio evaluator uses Adjusted design value = ((Radial Pressure+(2*Hoop Stress on thick shell*Poisson's Ratio))/Tensile Strain) to evaluate the Adjusted design value, Modulus of elasticity given tensile radial strain and Poisson's ratio formula is defined as a relationship that quantifies the material's ability to deform elastically when subjected to tensile stress, incorporating the effects of radial strain and Poisson's ratio to provide insights into material behavior under load. Adjusted design value is denoted by F'_c symbol.

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

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

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

The formula of Modulus of elasticity given tensile radial strain and Poisson's ratio is expressed as Adjusted design value = ((Radial Pressure+(2*Hoop Stress on thick shell*Poisson's Ratio))/Tensile Strain). Here is an example- 2.5E-8 = ((14000+(2*2000*0.3))/0.6).

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

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

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

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

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

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

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

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

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

FAQs on Modulus of elasticity given tensile 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