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Moment of Inertia of Stiffening Ring per Unit Length Formula

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Moment of Inertia of Stiffening Ring per Unit Length is the measure of the resistance of a body to angular acceleration about a given axis per unit length. Check FAQs

I = (\frac{p external \cdot ({OD Vessel}^{3})}{24 \cdot E})

I - Moment of Inertia of Stiffening Ring?p_external - External Pressure?OD_Vessel - Outer Diameter of Vessel?E - Young's Modulus?

Moment of Inertia of Stiffening Ring per Unit Length Example

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Here is how the Moment of Inertia of Stiffening Ring per Unit Length equation looks like with Values.

Here is how the Moment of Inertia of Stiffening Ring per Unit Length equation looks like with Units.

Here is how the Moment of Inertia of Stiffening Ring per Unit Length equation looks like.

4.3E+11 = (\frac{0.1023 \cdot (1000^{3})}{24 \cdot 1E-5})

4.3E+11mm⁴/mm = (\frac{0.1023N/mm² \cdot ({1000mm}^{3})}{24 \cdot 1E-5N/mm²})

4.3E+11 = (\frac{0.1023 \cdot (1000^{3})}{24 \cdot 1E-5})

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Moment of Inertia of Stiffening Ring per Unit Length Solution

Follow our step by step solution on how to calculate Moment of Inertia of Stiffening Ring per Unit Length?

FIRST Step Consider the formula

I = (\frac{p external \cdot ({OD Vessel}^{3})}{24 \cdot E})

Next Step Substitute values of Variables

∴

I = (\frac{0.1023N/mm² \cdot ({1000mm}^{3})}{24 \cdot 1E-5N/mm²})

Next Step Convert Units

∴

I = (\frac{102338.25Pa \cdot ({1m}^{3})}{24 \cdot 10Pa})

Next Step Prepare to Evaluate

∴

I = (\frac{102338.25 \cdot (1^{3})}{24 \cdot 10})

Next Step Evaluate

∴

I = 426.409375m⁴/m

Next Step Convert to Output's Unit

∴

I = 426409375000mm⁴/mm

LAST Step Rounding Answer

∴

I = 4.3E+11mm⁴/mm

Moment of Inertia of Stiffening Ring per Unit Length Formula Elements

Variables

Moment of Inertia of Stiffening Ring

Moment of Inertia of Stiffening Ring per Unit Length is the measure of the resistance of a body to angular acceleration about a given axis per unit length.

Symbol: I

Measurement: Moment of Inertia per Unit LengthUnit: mm⁴/mm

Note: Value should be greater than 0.

Formulas to find Moment of Inertia of Stiffening Ring

External Pressure

External pressure is the amount of energy that is applied from the outside of the system.

Symbol: p_external

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find External Pressure

Outer Diameter of Vessel

Outer Diameter of Vessel is the distance from one outside edge of the vessel to the opposite outside edge, measuring straight across the face of the vessel.

Symbol: OD_Vessel

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Diameter of Vessel

Young's Modulus

Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

Symbol: E

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Young's Modulus

Other formulas in Design of Vessels Subjected to External Pressure category

Go Critical Distance between Stiffeners

L c = 1.11 \cdot OD Vessel \cdot {(\frac{OD Vessel}{t})}^{0.5}

Go Length of Conical Head

L = (\frac{D l}{2}) \cdot (\tan (A))

Go Width of Gasket

N = \frac{G o - G i}{2}

Go Thickness of Flange

t f = (G) \cdot (\sqrt{\frac{p}{k \cdot f}}) + c

How to Evaluate Moment of Inertia of Stiffening Ring per Unit Length?

Moment of Inertia of Stiffening Ring per Unit Length evaluator uses Moment of Inertia of Stiffening Ring = ((External Pressure*(Outer Diameter of Vessel^3))/(24*Young's Modulus)) to evaluate the Moment of Inertia of Stiffening Ring, Moment of Inertia of Stiffening Ring per Unit Length is the cross-sectional area of the ring stiffener by itself around its neutral axis parallel to the shell axis. Moment of Inertia of Stiffening Ring is denoted by I symbol.

How to evaluate Moment of Inertia of Stiffening Ring per Unit Length using this online evaluator? To use this online evaluator for Moment of Inertia of Stiffening Ring per Unit Length, enter External Pressure (p_external), Outer Diameter of Vessel (OD_Vessel) & Young's Modulus (E) and hit the calculate button.

FAQs on Moment of Inertia of Stiffening Ring per Unit Length

What is the formula to find Moment of Inertia of Stiffening Ring per Unit Length?

The formula of Moment of Inertia of Stiffening Ring per Unit Length is expressed as Moment of Inertia of Stiffening Ring = ((External Pressure*(Outer Diameter of Vessel^3))/(24*Young's Modulus)). Here is an example- 4.3E+20 = ((102338.25*(1^3))/(24*10)).

How to calculate Moment of Inertia of Stiffening Ring per Unit Length?

With External Pressure (p_external), Outer Diameter of Vessel (OD_Vessel) & Young's Modulus (E) we can find Moment of Inertia of Stiffening Ring per Unit Length using the formula - Moment of Inertia of Stiffening Ring = ((External Pressure*(Outer Diameter of Vessel^3))/(24*Young's Modulus)).

Can the Moment of Inertia of Stiffening Ring per Unit Length be negative?

No, the Moment of Inertia of Stiffening Ring per Unit Length, measured in Moment of Inertia per Unit Length cannot be negative.

Which unit is used to measure Moment of Inertia of Stiffening Ring per Unit Length?

Moment of Inertia of Stiffening Ring per Unit Length is usually measured using the Millimeter⁴ per Millimeter[mm⁴/mm] for Moment of Inertia per Unit Length. Meter⁴ per Meter[mm⁴/mm], Centimeter⁴ per Micrometer[mm⁴/mm], Centimeter⁴ per Centimeter[mm⁴/mm] are the few other units in which Moment of Inertia of Stiffening Ring per Unit Length can be measured.

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Moment of Inertia of Stiffening Ring per Unit Length Formula

Moment of Inertia of Stiffening Ring per Unit Length Example

Moment of Inertia of Stiffening Ring per Unit Length Solution

Moment of Inertia of Stiffening Ring per Unit Length Formula Elements

Other formulas in Design of Vessels Subjected to External Pressure category

How to Evaluate Moment of Inertia of Stiffening Ring per Unit Length?

FAQs on Moment of Inertia of Stiffening Ring per Unit Length

Variable Name