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Moment of Inertia about Neutral Axis for Circular Section Formula

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MOI of Area of Circular Section is the second moment of the area of the section about the neutral axis. Check FAQs

I circular = \frac{π}{64} \cdot {d c}^{4}

I_circular - MOI of Area of Circular Section?d_c - Diameter of Circular Section?π - Archimedes' constant?

Moment of Inertia about Neutral Axis for Circular Section Example

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Here is how the Moment of Inertia about Neutral Axis for Circular Section equation looks like with Values.

Here is how the Moment of Inertia about Neutral Axis for Circular Section equation looks like with Units.

Here is how the Moment of Inertia about Neutral Axis for Circular Section equation looks like.

8.2E+8 = \frac{3.1416}{64} \cdot 360^{4}

8.2E+8mm⁴ = \frac{3.1416}{64} \cdot {360mm}^{4}

8.2E+8 = \frac{3.1416}{64} \cdot 360^{4}

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Moment of Inertia about Neutral Axis for Circular Section Solution

Follow our step by step solution on how to calculate Moment of Inertia about Neutral Axis for Circular Section?

FIRST Step Consider the formula

I circular = \frac{π}{64} \cdot {d c}^{4}

Next Step Substitute values of Variables

∴

I circular = \frac{π}{64} \cdot {360mm}^{4}

Next Step Substitute values of Constants

∴

I circular = \frac{3.1416}{64} \cdot {360mm}^{4}

Next Step Convert Units

∴

I circular = \frac{3.1416}{64} \cdot {0.36m}^{4}

Next Step Prepare to Evaluate

∴

I circular = \frac{3.1416}{64} \cdot {0.36}^{4}

Next Step Evaluate

∴

I circular = 0.000824479576008105m⁴

Next Step Convert to Output's Unit

∴

I circular = 824479576.008105mm⁴

LAST Step Rounding Answer

∴

I circular = 8.2E+8mm⁴

Moment of Inertia about Neutral Axis for Circular Section Formula Elements

Variables

Constants

MOI of Area of Circular Section

MOI of Area of Circular Section is the second moment of the area of the section about the neutral axis.

Symbol: I_circular

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find MOI of Area of Circular Section

Diameter of Circular Section

Diameter of Circular Section is the diameter of the circular cross-section of the beam.

Symbol: d_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Circular Section

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Circular Section category

Go Diameter of Circular Section given Section Modulus

d c = {(\frac{32 \cdot Z}{π})}^{\frac{1}{3}}

Go Section Modulus for Circular Section

Z = \frac{π}{32} \cdot {d c}^{3}

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

d c = 2 \cdot Y max

Go Distance of Outermost Layer from Neutral Layer in Circular Sections

Y max = \frac{d c}{2}

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

Moment of Inertia about Neutral Axis for Circular Section evaluator uses MOI of Area of Circular Section = pi/64*Diameter of Circular Section^4 to evaluate 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 evaluate Moment of Inertia about Neutral Axis for Circular Section using this online evaluator? To use this online evaluator for Moment of Inertia about Neutral Axis for Circular Section, enter Diameter of Circular Section (d_c) and hit the calculate button.

FAQs on Moment of Inertia about Neutral Axis for Circular Section

What is the formula to find Moment of Inertia about Neutral Axis for Circular Section?

The formula of Moment of Inertia about Neutral Axis for Circular Section is expressed as MOI of Area of Circular Section = pi/64*Diameter of Circular Section^4. Here is an example- 8.2E+20 = pi/64*0.36^4.

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

With Diameter of Circular Section (d_c) we can find Moment of Inertia about Neutral Axis for Circular Section using the formula - MOI of Area of Circular Section = pi/64*Diameter of Circular Section^4. This formula also uses Archimedes' constant .

Can the Moment of Inertia about Neutral Axis for Circular Section be negative?

No, the Moment of Inertia about Neutral Axis for Circular Section, measured in Second Moment of Area cannot be negative.

Which unit is used to measure Moment of Inertia about Neutral Axis for Circular Section?

Moment of Inertia about Neutral Axis for Circular Section is usually measured using the Millimeter⁴[mm⁴] for Second Moment of Area. Meter⁴[mm⁴], Centimeter⁴[mm⁴] are the few other units in which Moment of Inertia about Neutral Axis for Circular Section can be measured.

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