Moment of Inertia about Neutral Axis for Circular Section Calculator

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

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Moment of Inertia about Neutral Axis for Circular Section

Formula

`"I"_{"circular"} = pi/64*"d"_{"c"}^4`

Example

`"8.2E^8mm⁴"=pi/64*("360mm")^4`

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Moment of Inertia about Neutral Axis for Circular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

MOI of Area of Circular Section = pi/64*Diameter of Circular section^4
I_circular = pi/64*d_c^4
This formula uses 1 Constants, 2 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.
Diameter of Circular section - (Measured in Meter) - Diameter of Circular section is the diameter of the circular cross-section of the beam.

STEP 1: Convert Input(s) to Base Unit

Diameter of Circular section: 360 Millimeter --> 0.36 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_circular = pi/64*d_c^4 --> pi/64*0.36^4

Evaluating ... ...

I_circular = 0.000824479576008105

STEP 3: Convert Result to Output's Unit

0.000824479576008105 Meter⁴ -->824479576.008105 Millimeter⁴ (Check conversion here)

FINAL ANSWER

824479576.008105 ≈ 8.2E+8 Millimeter⁴ <-- MOI of Area of Circular Section

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Bending Stress In Beam » Section Modulus for Various Beams or Shape Sections » Circular Section » Moment of Inertia about Neutral Axis for Circular Section

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Indian Institute of Information Technology (IIIT), Guwahati

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< 6 Circular Section Calculators

Diameter of Circular Section given Moment of Inertia about Neutral Axis

Go Diameter of Circular section = ((64*MOI of Area of Circular Section)/(pi))^(1/4)

Moment of Inertia about Neutral Axis for Circular Section

Go MOI of Area of Circular Section = pi/64*Diameter of Circular section^4

Diameter of Circular Section given Section Modulus

Go Diameter of Circular section = ((32*Section Modulus)/pi)^(1/3)

Section Modulus for Circular Section

Go Section Modulus = pi/32*Diameter of Circular section^3

Diameter of Circular Section given Distance of Outermost Layer from Neutral Layer

Go Diameter of Circular section = 2*Distance b/w Outermost and Neutral Layer

Distance of Outermost Layer from Neutral Layer in Circular Sections

Go Distance b/w Outermost and Neutral Layer = Diameter of Circular section/2

Moment of Inertia about Neutral Axis for Circular Section Formula

MOI of Area of Circular Section = pi/64*Diameter of Circular section^4
I_circular = pi/64*d_c^4

What is the difference between elastic and plastic section modulus?

The elastic section modulus assumes the section remains elastic. The plastic section modulus assumes the entire section yields. Elastic modulus is the steel modulus based on the stress strain curve before yielding.

How to Calculate Moment of Inertia about Neutral Axis for Circular Section?

Moment of Inertia about Neutral Axis for Circular Section calculator uses MOI of Area of Circular Section = pi/64*Diameter of Circular section^4 to calculate the MOI of Area of Circular Section, Moment of inertia about Neutral axis for Circular section is defined as a geometrical property of an area that reflects how its points are distributed with regard to an arbitrary axis. MOI of Area of Circular Section is denoted by I_circular symbol.

How to calculate Moment of Inertia about Neutral Axis for Circular Section using this online calculator? To use this online calculator for Moment of Inertia about Neutral Axis for Circular Section, enter Diameter of Circular section (d_c) and hit the calculate button. Here is how the Moment of Inertia about Neutral Axis for Circular Section calculation can be explained with given input values -> 8.2E+20 = pi/64*0.36^4.

FAQ

What is Moment of Inertia about Neutral Axis for Circular Section?

Moment of inertia about Neutral axis for Circular section is defined as a geometrical property of an area that reflects how its points are distributed with regard to an arbitrary axis and is represented as I_circular = pi/64*d_c^4 or MOI of Area of Circular Section = pi/64*Diameter of Circular section^4. Diameter of Circular section is the diameter of the circular cross-section of the beam.

How to calculate Moment of Inertia about Neutral Axis for Circular Section?

Moment of inertia about Neutral axis for Circular section is defined as a geometrical property of an area that reflects how its points are distributed with regard to an arbitrary axis is calculated using MOI of Area of Circular Section = pi/64*Diameter of Circular section^4. To calculate Moment of Inertia about Neutral Axis for Circular Section, you need Diameter of Circular section (d_c). With our tool, you need to enter the respective value for Diameter of 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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