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Moment of inertia of column section about neutral axis 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{h \cdot (b^{3})}{12}

I_circular - MOI of Area of Circular Section?h - Depth of Column?b - Width of Column?

Moment of inertia of column section about neutral axis Example

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Here is how the Moment of inertia of column section about neutral axis equation looks like with Values.

Here is how the Moment of inertia of column section about neutral axis equation looks like with Units.

Here is how the Moment of inertia of column section about neutral axis equation looks like.

5.4E+10 = \frac{3000 \cdot (600^{3})}{12}

5.4E+10mm⁴ = \frac{3000mm \cdot ({600mm}^{3})}{12}

5.4E+10 = \frac{3000 \cdot (600^{3})}{12}

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Moment of inertia of column section about neutral axis Solution

Follow our step by step solution on how to calculate Moment of inertia of column section about neutral axis?

FIRST Step Consider the formula

I circular = \frac{h \cdot (b^{3})}{12}

Next Step Substitute values of Variables

∴

I circular = \frac{3000mm \cdot ({600mm}^{3})}{12}

Next Step Convert Units

∴

I circular = \frac{3m \cdot ({0.6m}^{3})}{12}

Next Step Prepare to Evaluate

∴

I circular = \frac{3 \cdot ({0.6}^{3})}{12}

Next Step Evaluate

∴

I circular = 0.054m⁴

Next Step Convert to Output's Unit

∴

I circular = 54000000000mm⁴

LAST Step Rounding Answer

∴

I circular = 5.4E+10mm⁴

Moment of inertia of column section about neutral axis Formula Elements

Variables

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

Depth of Column

Depth of Column is the distance from the top or surface to the bottom of something.

Symbol: h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of Column

Width of Column

Width of Column is describe that how wide the column is.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Column

Other formulas in Rectangular Section Is Subjected to Eccentric Load category

Go Eccentricity using Minimum Stress

e load = (1 - (σ min \cdot \frac{A sectional}{P})) \cdot (\frac{b}{6})

Go Eccentric Load using Minimum Stress

P = \frac{σ min \cdot A sectional}{1 - (6 \cdot \frac{e load}{b})}

Go Minimum Stress using Eccentric Load and Eccentricity

σ min = \frac{P \cdot (1 - (6 \cdot \frac{e load}{b}))}{A sectional}

Go Minimum Stress

σ min = (σ - σ b)

How to Evaluate Moment of inertia of column section about neutral axis?

Moment of inertia of column section about neutral axis evaluator uses MOI of Area of Circular Section = (Depth of Column*(Width of Column^3))/12 to evaluate the MOI of Area of Circular Section, The Moment of inertia of column section about neutral axiss formula is defined as a measure of the resistance of a cross-section to bending, providing a way to calculate the stiffness of a column section, which is essential in structural analysis and design to ensure the stability and safety of buildings and bridges. MOI of Area of Circular Section is denoted by I_circular symbol.

How to evaluate Moment of inertia of column section about neutral axis using this online evaluator? To use this online evaluator for Moment of inertia of column section about neutral axis, enter Depth of Column (h) & Width of Column (b) and hit the calculate button.

FAQs on Moment of inertia of column section about neutral axis

What is the formula to find Moment of inertia of column section about neutral axis?

The formula of Moment of inertia of column section about neutral axis is expressed as MOI of Area of Circular Section = (Depth of Column*(Width of Column^3))/12. Here is an example- 5.4E+22 = (3*(0.6^3))/12.

How to calculate Moment of inertia of column section about neutral axis?

With Depth of Column (h) & Width of Column (b) we can find Moment of inertia of column section about neutral axis using the formula - MOI of Area of Circular Section = (Depth of Column*(Width of Column^3))/12.

Can the Moment of inertia of column section about neutral axis be negative?

No, the Moment of inertia of column section about neutral axis, measured in Second Moment of Area cannot be negative.

Which unit is used to measure Moment of inertia of column section about neutral axis?

Moment of inertia of column section about neutral axis 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 of column section about neutral axis can be measured.

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Moment of inertia of column section about neutral axis Formula

Moment of inertia of column section about neutral axis Example

Moment of inertia of column section about neutral axis Solution

Moment of inertia of column section about neutral axis Formula Elements

Other formulas in Rectangular Section Is Subjected to Eccentric Load category

How to Evaluate Moment of inertia of column section about neutral axis?

FAQs on Moment of inertia of column section about neutral axis

Variable Name