Moment of Inertia of Hollow Circular Section Calculator

✖Outer Diameter of Hollow Circular Section is the measurement of the total width of the circular section from one outside edge to the opposite outside edge, passing through the center.ⓘ Outer Diameter of Hollow Circular Section [d_o]			+10% -10%
✖Inner Diameter of Hollow Circular Section is the distance measured across the interior of the hollow section, passing through its center.ⓘ Inner Diameter of Hollow Circular Section [d_i]			+10% -10%

✖MOI of Area of Circular Section is the second moment of the area of the section about the neutral axis.ⓘ Moment of Inertia of Hollow Circular Section [I_circular]

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Moment of Inertia of Hollow Circular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

MOI of Area of Circular Section = pi/64*(Outer Diameter of Hollow Circular Section^4-Inner Diameter of Hollow Circular Section^4)
I_circular = pi/64*(d_o^4-d_i^4)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

MOI of Area of Circular Section - (Measured in Meter⁴) - MOI of Area of Circular Section is the second moment of the area of the section about the neutral axis.
Outer Diameter of Hollow Circular Section - (Measured in Meter) - Outer Diameter of Hollow Circular Section is the measurement of the total width of the circular section from one outside edge to the opposite outside edge, passing through the center.
Inner Diameter of Hollow Circular Section - (Measured in Meter) - Inner Diameter of Hollow Circular Section is the distance measured across the interior of the hollow section, passing through its center.

STEP 1: Convert Input(s) to Base Unit

Outer Diameter of Hollow Circular Section: 240 Millimeter --> 0.24 Meter (Check conversion here)
Inner Diameter of Hollow Circular Section: 15 Millimeter --> 0.015 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_circular = pi/64*(d_o^4-d_i^4) --> pi/64*(0.24^4-0.015^4)

Evaluating ... ...

I_circular = 0.000162857678113218

STEP 3: Convert Result to Output's Unit

0.000162857678113218 Meter⁴ -->162857678.113218 Millimeter⁴ (Check conversion here)

FINAL ANSWER

162857678.113218 ≈ 1.6E+8 Millimeter⁴ <-- MOI of Area of Circular Section

(Calculation completed in 00.020 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Hollow Circular Section Calculators

Inner Diameter of Hollow Circular Section given Section Modulus

LaTeX Go Inner Diameter of Hollow Circular Section = (Outer Diameter of Hollow Circular Section^4-(32*Outer Diameter of Hollow Circular Section*Section Modulus)/pi)^(1/4)

Section Modulus of Hollow Circular Section

LaTeX Go Section Modulus = pi/(32*Outer Diameter of Hollow Circular Section)*(Outer Diameter of Hollow Circular Section^4-Inner Diameter of Hollow Circular Section^4)

Distance of Outermost Layer from Neutral Axis in Hollow Circular Section

LaTeX Go Distance b/w Outermost and Neutral Layer = Outer Diameter of Hollow Circular Section/2

Outer Diameter of Hollow Circular Section

LaTeX Go Outer Diameter of Hollow Circular Section = 2*Distance b/w Outermost and Neutral Layer

Moment of Inertia of Hollow Circular Section Formula

LaTeX Go

MOI of Area of Circular Section = pi/64*(Outer Diameter of Hollow Circular Section^4-Inner Diameter of Hollow Circular Section^4)
I_circular = pi/64*(d_o^4-d_i^4)

What is Moment of Inertia?

The Moment of Inertia (I), also known as the second moment of area, is a geometric property of a cross-section that quantifies its resistance to bending and torsion. It plays a crucial role in structural and mechanical engineering, particularly in analyzing beams and other load-bearing structures.

How to Calculate Moment of Inertia of Hollow Circular Section?

Moment of Inertia of Hollow Circular Section calculator uses MOI of Area of Circular Section = pi/64*(Outer Diameter of Hollow Circular Section^4-Inner Diameter of Hollow Circular Section^4) to calculate the MOI of Area of Circular Section, The Moment of Inertia of Hollow Circular Section formula is defined as a measure of the resistance of a hollow circular section to bending or torsion, which is a critical parameter in the design and analysis of beams and other structural elements subjected to external loads. MOI of Area of Circular Section is denoted by I_circular symbol.

How to calculate Moment of Inertia of Hollow Circular Section using this online calculator? To use this online calculator for Moment of Inertia of Hollow Circular Section, enter Outer Diameter of Hollow Circular Section (d_o) & Inner Diameter of Hollow Circular Section (d_i) and hit the calculate button. Here is how the Moment of Inertia of Hollow Circular Section calculation can be explained with given input values -> 1.6E+20 = pi/64*(0.24^4-0.015^4).

FAQ

What is Moment of Inertia of Hollow Circular Section?

The Moment of Inertia of Hollow Circular Section formula is defined as a measure of the resistance of a hollow circular section to bending or torsion, which is a critical parameter in the design and analysis of beams and other structural elements subjected to external loads and is represented as I_circular = pi/64*(d_o^4-d_i^4) or MOI of Area of Circular Section = pi/64*(Outer Diameter of Hollow Circular Section^4-Inner Diameter of Hollow Circular Section^4). Outer Diameter of Hollow Circular Section is the measurement of the total width of the circular section from one outside edge to the opposite outside edge, passing through the center & Inner Diameter of Hollow Circular Section is the distance measured across the interior of the hollow section, passing through its center.

How to calculate Moment of Inertia of Hollow Circular Section?

The Moment of Inertia of Hollow Circular Section formula is defined as a measure of the resistance of a hollow circular section to bending or torsion, which is a critical parameter in the design and analysis of beams and other structural elements subjected to external loads is calculated using MOI of Area of Circular Section = pi/64*(Outer Diameter of Hollow Circular Section^4-Inner Diameter of Hollow Circular Section^4). To calculate Moment of Inertia of Hollow Circular Section, you need Outer Diameter of Hollow Circular Section (d_o) & Inner Diameter of Hollow Circular Section (d_i). With our tool, you need to enter the respective value for Outer Diameter of Hollow Circular Section & Inner Diameter of Hollow Circular Section 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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