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Compressive radial strain for thick spherical shells Formula

GoCompressive radial strain given Poisson's ratio for thick spherical shell Formula

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

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

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

Compressive radial strain for thick spherical shells Example

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Here is how the Compressive radial strain for thick spherical shells equation looks like with Values.

Here is how the Compressive radial strain for thick spherical shells equation looks like with Units.

Here is how the Compressive radial strain for thick spherical shells equation looks like.

0.0014 = \frac{0.014 + (2 \cdot \frac{0.002}{35.45})}{10}

0.0014 = \frac{0.014MPa/m² + (2 \cdot \frac{0.002MPa}{35.45kg})}{10MPa}

0.0014 = \frac{0.014 + (2 \cdot \frac{0.002}{35.45})}{10}

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Compressive radial strain for thick spherical shells Solution

Follow our step by step solution on how to calculate Compressive radial strain for thick spherical shells?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ε compressive = \frac{0.014MPa/m² + (2 \cdot \frac{0.002MPa}{35.45kg})}{10MPa}

Next Step Convert Units

∴

ε compressive = \frac{14000Pa/m² + (2 \cdot \frac{2000Pa}{35.45kg})}{1E+7Pa}

Next Step Prepare to Evaluate

∴

ε compressive = \frac{14000 + (2 \cdot \frac{2000}{35.45})}{1E+7}

Next Step Evaluate

∴

ε compressive = 0.00141128349788434

LAST Step Rounding Answer

∴

ε compressive = 0.0014

Compressive radial strain for thick spherical shells Formula Elements

Variables

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

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

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

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

Other Formulas to find Compressive Strain

Go Compressive radial strain given Poisson's ratio for thick spherical shell

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

Other formulas in Thick Spherical Shells category

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}

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}

How to Evaluate Compressive radial strain for thick spherical shells?

Compressive radial strain for thick spherical shells evaluator uses Compressive Strain = (Radial Pressure+(2*Hoop Stress on thick shell/Mass Of Shell))/Adjusted design value to evaluate the Compressive Strain, Compressive radial strain for thick spherical shells formula is defined as a measure of the deformation experienced by a thick spherical shell under internal pressure and external forces. It helps in understanding the material behavior and structural integrity of spherical shells in engineering applications. Compressive Strain is denoted by ε_compressive symbol.

How to evaluate Compressive radial strain for thick spherical shells using this online evaluator? To use this online evaluator for Compressive radial strain for thick spherical shells, enter Radial Pressure (P_v), Hoop Stress on thick shell (σ_θ), Mass Of Shell (M) & Adjusted design value (F'_c) and hit the calculate button.

FAQs on Compressive radial strain for thick spherical shells

What is the formula to find Compressive radial strain for thick spherical shells?

The formula of Compressive radial strain for thick spherical shells is expressed as Compressive Strain = (Radial Pressure+(2*Hoop Stress on thick shell/Mass Of Shell))/Adjusted design value. Here is an example- 0.001411 = (14000+(2*2000/35.45))/10000000.

How to calculate Compressive radial strain for thick spherical shells?

With Radial Pressure (P_v), Hoop Stress on thick shell (σ_θ), Mass Of Shell (M) & Adjusted design value (F'_c) we can find Compressive radial strain for thick spherical shells using the formula - Compressive Strain = (Radial Pressure+(2*Hoop Stress on thick shell/Mass Of Shell))/Adjusted design value.

What are the other ways to Calculate Compressive Strain?

Here are the different ways to Calculate Compressive Strain-

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

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Compressive radial strain for thick spherical shells Formula

​GoCompressive radial strain given Poisson's ratio for thick spherical shell Formula

Compressive radial strain for thick spherical shells Example

Compressive radial strain for thick spherical shells Solution

Compressive radial strain for thick spherical shells Formula Elements

Other Formulas to find Compressive Strain

Other formulas in Thick Spherical Shells category

How to Evaluate Compressive radial strain for thick spherical shells?

FAQs on Compressive radial strain for thick spherical shells

Variable Name

GoCompressive radial strain given Poisson's ratio for thick spherical shell Formula