Moment of Inertia of Stiffening Ring per Unit Length Calculator

✖External pressure is the amount of energy that is applied from the outside of the system.ⓘ External Pressure [p_external]			+10% -10%
✖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.ⓘ Outer Diameter of Vessel [OD_Vessel]			+10% -10%
✖Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus [E]			+10% -10%

✖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.ⓘ Moment of Inertia of Stiffening Ring per Unit Length [I]

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Moment of Inertia of Stiffening Ring per Unit Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia of Stiffening Ring = ((External Pressure*(Outer Diameter of Vessel^3))/(24*Young's Modulus))
I = ((p_external*(OD_Vessel^3))/(24*E))
This formula uses 4 Variables

Variables Used

Moment of Inertia of Stiffening Ring - (Measured in Meter⁴ per Meter) - 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.
External Pressure - (Measured in Pascal) - External pressure is the amount of energy that is applied from the outside of the system.
Outer Diameter of Vessel - (Measured in Meter) - 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.
Young's Modulus - (Measured in Pascal) - Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

STEP 1: Convert Input(s) to Base Unit

External Pressure: 0.10233825 Newton per Square Millimeter --> 102338.25 Pascal (Check conversion here)
Outer Diameter of Vessel: 1000 Millimeter --> 1 Meter (Check conversion here)
Young's Modulus: 1E-05 Newton per Square Millimeter --> 10 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = ((p_external*(OD_Vessel^3))/(24*E)) --> ((102338.25*(1^3))/(24*10))

Evaluating ... ...

I = 426.409375

STEP 3: Convert Result to Output's Unit

426.409375 Meter⁴ per Meter -->426409375000 Millimeter⁴ per Millimeter (Check conversion here)

FINAL ANSWER

426409375000 ≈ 4.3E+11 Millimeter⁴ per Millimeter <-- Moment of Inertia of Stiffening Ring

(Calculation completed in 00.020 seconds)

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< Design of Vessels Subjected to External Pressure Calculators

Critical Distance between Stiffeners

LaTeX Go Critical Distance between Stiffeners = 1.11*Outer Diameter of Vessel*(Outer Diameter of Vessel/Wall Thickness)^0.5

Moment of Inertia of Stiffening Ring per Unit Length

LaTeX Go Moment of Inertia of Stiffening Ring = ((External Pressure*(Outer Diameter of Vessel^3))/(24*Young's Modulus))

Length of Conical Head

LaTeX Go Length of Conical Head = (Outside Diameter at Larger End of Cone/2)*(tan(Apex Angle))

Width of Gasket

LaTeX Go Width of Gasket = (Outside Diameter of Gasket-Inside Diameter of Gasket)/2

Moment of Inertia of Stiffening Ring per Unit Length Formula

LaTeX Go

Moment of Inertia of Stiffening Ring = ((External Pressure*(Outer Diameter of Vessel^3))/(24*Young's Modulus))
I = ((p_external*(OD_Vessel^3))/(24*E))

What is Moment of Inertia?

Moment of inertia is defined as the quantity expressed by the body resisting angular acceleration which is the sum of the product of the mass of every particle with its square of a distance from the axis of rotation. Or in more simple terms, it can be described as a quantity that decides the amount of torque needed for a specific angular acceleration in a rotational axis. Moment of Inertia is also known as the angular mass or rotational inertia. The SI unit of moment of inertia is kg m2.

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

Moment of Inertia of Stiffening Ring per Unit Length calculator uses Moment of Inertia of Stiffening Ring = ((External Pressure*(Outer Diameter of Vessel^3))/(24*Young's Modulus)) to calculate 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 calculate Moment of Inertia of Stiffening Ring per Unit Length using this online calculator? To use this online calculator 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. Here is how the Moment of Inertia of Stiffening Ring per Unit Length calculation can be explained with given input values -> 4.3E+20 = ((102338.25*(1^3))/(24*10)).

FAQ

What is Moment of Inertia of Stiffening Ring per Unit Length?

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 and is represented as I = ((p_external*(OD_Vessel^3))/(24*E)) or Moment of Inertia of Stiffening Ring = ((External Pressure*(Outer Diameter of Vessel^3))/(24*Young's Modulus)). External pressure is the amount of energy that is applied from the outside of the system, 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 & Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

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

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 is calculated using Moment of Inertia of Stiffening Ring = ((External Pressure*(Outer Diameter of Vessel^3))/(24*Young's Modulus)). To calculate Moment of Inertia of Stiffening Ring per Unit Length, you need External Pressure (p_external), Outer Diameter of Vessel (OD_Vessel) & Young's Modulus (E). With our tool, you need to enter the respective value for External Pressure, Outer Diameter of Vessel & Young's Modulus and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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