Moment of Inertia about Neutral Axis for Circular Section Calculator

✖Diameter of Circular Section is the diameter of the circular cross-section of the beam.ⓘ Diameter of Circular Section [d_c]

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✖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 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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National Institute Of Technology (NIT), Hamirpur

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< Circular Section Calculators

Diameter of Circular Section given Section Modulus

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

Section Modulus for Circular Section

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

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

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

Distance of Outermost Layer from Neutral Layer in Circular Sections

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

Moment of Inertia about Neutral Axis for Circular Section Formula

LaTeX Go

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

What is Moment of Inertia about Neutral Axis?

The Moment of Inertia (also known as the second moment of area) about the Neutral Axis is a measure of an object's resistance to bending or deflection. It's an essential concept in structural engineering, particularly for beams and other load-bearing members. The neutral axis is the axis along the length of a beam where the material is neither in compression nor tension when it is subjected to bending.

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, The Moment of Inertia about Neutral Axis for Circular Section formula is defined as a measure of the tendency of an object to resist changes in its rotation, specifically for circular sections, which is crucial in calculating bending stress in beams. 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?

The Moment of Inertia about Neutral Axis for Circular Section formula is defined as a measure of the tendency of an object to resist changes in its rotation, specifically for circular sections, which is crucial in calculating bending stress in beams 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?

The Moment of Inertia about Neutral Axis for Circular Section formula is defined as a measure of the tendency of an object to resist changes in its rotation, specifically for circular sections, which is crucial in calculating bending stress in beams 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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