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Tensile circumferential strain for thick spherical shell Formula

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Circumferential strain represents the change in length. Check FAQs

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

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

Tensile circumferential strain for thick spherical shell Example

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Here is how the Tensile circumferential strain for thick spherical shell equation looks like with Values.

Here is how the Tensile circumferential strain for thick spherical shell equation looks like with Units.

Here is how the Tensile circumferential strain for thick spherical shell equation looks like.

0.0002 = \frac{0.002 \cdot (\frac{35.45 - 1}{35.45}) + (\frac{0.014}{35.45})}{10}

0.0002 = \frac{0.002MPa \cdot (\frac{35.45kg - 1}{35.45kg}) + (\frac{0.014MPa/m²}{35.45kg})}{10MPa}

0.0002 = \frac{0.002 \cdot (\frac{35.45 - 1}{35.45}) + (\frac{0.014}{35.45})}{10}

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Tensile circumferential strain for thick spherical shell Solution

Follow our step by step solution on how to calculate Tensile circumferential strain for thick spherical shell?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

e 1 = \frac{0.002MPa \cdot (\frac{35.45kg - 1}{35.45kg}) + (\frac{0.014MPa/m²}{35.45kg})}{10MPa}

Next Step Convert Units

∴

e 1 = \frac{2000Pa \cdot (\frac{35.45kg - 1}{35.45kg}) + (\frac{14000Pa/m²}{35.45kg})}{1E+7Pa}

Next Step Prepare to Evaluate

∴

e 1 = \frac{2000 \cdot (\frac{35.45 - 1}{35.45}) + (\frac{14000}{35.45})}{1E+7}

Next Step Evaluate

∴

e 1 = 0.000233850493653032

LAST Step Rounding Answer

∴

e 1 = 0.0002

Tensile circumferential strain for thick spherical shell Formula Elements

Variables

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

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

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 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 Tensile circumferential strain for thick spherical shell?

Tensile circumferential strain for thick spherical shell evaluator uses Circumferential Strain = (Hoop Stress on thick shell*((Mass Of Shell-1)/Mass Of Shell)+(Radial Pressure/Mass Of Shell))/Adjusted design value to evaluate the Circumferential Strain, Tensile circumferential strain for thick spherical shell formula is defined as a measure of the deformation experienced by a thick spherical shell under internal pressure. It quantifies how much the material stretches in the circumferential direction, which is crucial for assessing structural integrity and performance. Circumferential Strain is denoted by e₁ symbol.

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

FAQs on Tensile circumferential strain for thick spherical shell

What is the formula to find Tensile circumferential strain for thick spherical shell?

The formula of Tensile circumferential strain for thick spherical shell is expressed as Circumferential Strain = (Hoop Stress on thick shell*((Mass Of Shell-1)/Mass Of Shell)+(Radial Pressure/Mass Of Shell))/Adjusted design value. Here is an example- 0.000234 = (2000*((35.45-1)/35.45)+(14000/35.45))/10000000.

How to calculate Tensile circumferential strain for thick spherical shell?

With Hoop Stress on thick shell (σ_θ), Mass Of Shell (M), Radial Pressure (P_v) & Adjusted design value (F'_c) we can find Tensile circumferential strain for thick spherical shell using the formula - Circumferential Strain = (Hoop Stress on thick shell*((Mass Of Shell-1)/Mass Of Shell)+(Radial Pressure/Mass Of Shell))/Adjusted design value.

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Tensile circumferential strain for thick spherical shell Formula

Tensile circumferential strain for thick spherical shell Example

Tensile circumferential strain for thick spherical shell Solution

Tensile circumferential strain for thick spherical shell Formula Elements

Other formulas in Thick Spherical Shells category

How to Evaluate Tensile circumferential strain for thick spherical shell?

FAQs on Tensile circumferential strain for thick spherical shell

Variable Name