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Modulus of elasticity given tensile circumferential strain for thick spherical shell 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{σ θ \cdot (\frac{M - 1}{M}) + (\frac{P v}{M})}{e 1}

F'_c - Adjusted design value?σ_θ - Hoop Stress on thick shell?M - Mass Of Shell?P_v - Radial Pressure?e₁ - Circumferential Strain?

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

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Here is how the Modulus of elasticity given tensile circumferential strain for thick spherical shell equation looks like with Values.

Here is how the Modulus of elasticity given tensile circumferential strain for thick spherical shell equation looks like with Units.

Here is how the Modulus of elasticity given tensile circumferential strain for thick spherical shell equation looks like.

0.0009 = \frac{0.002 \cdot (\frac{35.45 - 1}{35.45}) + (\frac{0.014}{35.45})}{2.5}

0.0009MPa = \frac{0.002MPa \cdot (\frac{35.45kg - 1}{35.45kg}) + (\frac{0.014MPa/m²}{35.45kg})}{2.5}

0.0009 = \frac{0.002 \cdot (\frac{35.45 - 1}{35.45}) + (\frac{0.014}{35.45})}{2.5}

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

Follow our step by step solution on how to calculate Modulus of elasticity given tensile circumferential strain for thick spherical shell?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

F' c = \frac{0.002MPa \cdot (\frac{35.45kg - 1}{35.45kg}) + (\frac{0.014MPa/m²}{35.45kg})}{2.5}

Next Step Convert Units

∴

F' c = \frac{2000Pa \cdot (\frac{35.45kg - 1}{35.45kg}) + (\frac{14000Pa/m²}{35.45kg})}{2.5}

Next Step Prepare to Evaluate

∴

F' c = \frac{2000 \cdot (\frac{35.45 - 1}{35.45}) + (\frac{14000}{35.45})}{2.5}

Next Step Evaluate

∴

F' c = 935.40197461213Pa

Next Step Convert to Output's Unit

∴

F' c = 0.00093540197461213MPa

LAST Step Rounding Answer

∴

F' c = 0.0009MPa

Modulus of elasticity given tensile circumferential strain for thick spherical shell 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

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

Mass Of Shell

Mass Of Shell is the quantity of matter in a body regardless of its volume or of any forces acting on it.

Symbol: M

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass Of Shell

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

Circumferential Strain

Circumferential strain represents the change in length.

Symbol: e₁

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Circumferential 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 radial strain and Poisson's ratio

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

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 circumferential strain for thick spherical shell?

Modulus of elasticity given tensile circumferential strain for thick spherical shell evaluator uses Adjusted design value = (Hoop Stress on thick shell*((Mass Of Shell-1)/Mass Of Shell)+(Radial Pressure/Mass Of Shell))/Circumferential Strain to evaluate the Adjusted design value, Modulus of elasticity given tensile circumferential strain for thick spherical shell formula is defined as a measure of the material's ability to deform elastically when subjected to tensile stress. It reflects the relationship between stress and strain in thick spherical shells under load conditions. Adjusted design value is denoted by F'_c symbol.

How to evaluate Modulus of elasticity given tensile circumferential strain for thick spherical shell using this online evaluator? To use this online evaluator for Modulus of elasticity given tensile circumferential strain for thick spherical shell, enter Hoop Stress on thick shell (σ_θ), Mass Of Shell (M), Radial Pressure (P_v) & Circumferential Strain (e₁) and hit the calculate button.

FAQs on Modulus of elasticity given tensile circumferential strain for thick spherical shell

What is the formula to find Modulus of elasticity given tensile circumferential strain for thick spherical shell?

The formula of Modulus of elasticity given tensile circumferential strain for thick spherical shell is expressed as Adjusted design value = (Hoop Stress on thick shell*((Mass Of Shell-1)/Mass Of Shell)+(Radial Pressure/Mass Of Shell))/Circumferential Strain. Here is an example- 9.4E-10 = (2000*((35.45-1)/35.45)+(14000/35.45))/2.5.

How to calculate Modulus of elasticity given tensile circumferential strain for thick spherical shell?

With Hoop Stress on thick shell (σ_θ), Mass Of Shell (M), Radial Pressure (P_v) & Circumferential Strain (e₁) we can find Modulus of elasticity given tensile circumferential strain for thick spherical shell using the formula - Adjusted design value = (Hoop Stress on thick shell*((Mass Of Shell-1)/Mass Of Shell)+(Radial Pressure/Mass Of Shell))/Circumferential 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 circumferential strain for thick spherical shell be negative?

No, the Modulus of elasticity given tensile circumferential strain for thick spherical shell, measured in Pressure cannot be negative.

Which unit is used to measure Modulus of elasticity given tensile circumferential strain for thick spherical shell?

Modulus of elasticity given tensile circumferential strain for thick spherical shell 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 circumferential strain for thick spherical shell can be measured.

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

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

Modulus of elasticity given tensile circumferential strain for thick spherical shell Formula Elements

Other Formulas to find Adjusted design value

Other formulas in Thick Spherical Shells category

How to Evaluate Modulus of elasticity given tensile circumferential strain for thick spherical shell?

FAQs on Modulus of elasticity given tensile circumferential strain for thick spherical shell

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