Moment of inertia of column section about neutral axis Calculator

✖Depth of Column is the distance from the top or surface to the bottom of something.ⓘ Depth of Column [h]			+10% -10%
✖Width of column is describing how wide the column is.ⓘ Width of column [b]			+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 column section about neutral axis [I_circular]

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Formula

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Moment of inertia of column section about neutral axis

Formula

`"I"_{"circular"} = ("h"*("b"^3))/12`

Example

`"5.4E^10mm⁴"=("3000mm"*(("600mm")^3))/12`

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Moment of inertia of column section about neutral axis Solution

STEP 0: Pre-Calculation Summary

Formula Used

MOI of Area of Circular Section = (Depth of Column*(Width of column^3))/12
I_circular = (h*(b^3))/12
This formula uses 3 Variables

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.
Depth of Column - (Measured in Meter) - Depth of Column is the distance from the top or surface to the bottom of something.
Width of column - (Measured in Meter) - Width of column is describing how wide the column is.

STEP 1: Convert Input(s) to Base Unit

Depth of Column: 3000 Millimeter --> 3 Meter (Check conversion here)
Width of column: 600 Millimeter --> 0.6 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_circular = (h*(b^3))/12 --> (3*(0.6^3))/12

Evaluating ... ...

I_circular = 0.054

STEP 3: Convert Result to Output's Unit

0.054 Meter⁴ -->54000000000 Millimeter⁴ (Check conversion here)

FINAL ANSWER

54000000000 ≈ 5.4E+10 Millimeter⁴ <-- MOI of Area of Circular Section

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Direct And Bending Stress » Resultant Stress » Rectangular Section Is Subjected To Eccentric Load » Moment of inertia of column section about neutral axis

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National Institute Of Technology (NIT), Hamirpur

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Indian Institute of Information Technology (IIIT), Guwahati

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< 22 Rectangular Section Is Subjected To Eccentric Load Calculators

Maximum stress when subjected to eccentric axial load

Go Maximum Stress on Column Section = (Eccentric load on column/Column Cross Sectional Area)+((Eccentric load on column*Eccentricity of Loading*Distance of Outer Fibre from Neutral Axis)/Moment of Inertia about y-y axis)

Width of Column using Bending Stress and Eccentric load

Go Width of column = sqrt((6*Eccentric load on column*Eccentricity of Loading)/(Depth of Column*Bending Stress in Column))

Maximum Stress given Eccentric Load and Eccentricity

Go Maximum Stress on Column Section = (Eccentric load on column*(1+(6*Eccentricity of Loading/Width of column)))/(Column Cross Sectional Area)

Eccentric Load using Maximum Stress

Go Eccentric load on column = (Maximum Stress on Column Section*Column Cross Sectional Area)/(1+(6*Eccentricity of Loading/Width of column))

Eccentricity using Maximum Stress

Go Eccentricity of Loading = ((Maximum Stress on Column Section*Column Cross Sectional Area/Eccentric load on column)-1)*(Width of column/6)

Minimum Stress using Eccentric Load and Eccentricity

Go Minimum Stress Value = (Eccentric load on column*(1-(6*Eccentricity of Loading/Width of column)))/(Column Cross Sectional Area)

Eccentric Load using Minimum Stress

Go Eccentric load on column = (Minimum Stress Value*Column Cross Sectional Area)/(1-(6*Eccentricity of Loading/Width of column))

Eccentricity using Minimum Stress

Go Eccentricity of Loading = (1-(Minimum Stress Value*Column Cross Sectional Area/Eccentric load on column))*(Width of column/6)

Eccentric Load using Bending Stress

Go Eccentric load on column = (Bending Stress in Column*(Depth of Column*(Width of column^2)))/(6*Eccentricity of Loading)

Eccentricity using Bending Stress

Go Eccentricity of Loading = (Bending Stress in Column*(Depth of Column*(Width of column^2)))/(6*Eccentric load on column)

Depth of Column using Bending Stress and Eccentric load

Go Depth of Column = (6*Eccentric load on column*Eccentricity of Loading)/(Bending Stress in Column*(Width of column^2))

Bending Stress using Eccentric Load and Eccentricity

Go Bending Stress in Column = (6*Eccentric load on column*Eccentricity of Loading)/(Depth of Column*(Width of column^2))

Width of Column given Bending Stress and Moment due to Load

Go Width of column = sqrt((6*Moment due to eccentric load)/(Depth of Column*Bending Stress in Column))

Depth of Column using Bending Stress and Moment Due to Load

Go Depth of Column = (6*Moment due to eccentric load)/(Bending Stress in Column*(Width of column^2))

Moment Due to Load given Bending Stress

Go Moment due to eccentric load = (Bending Stress in Column*(Depth of Column*(Width of column^2)))/6

Bending Stress given Moment due to Load

Go Bending Stress in Column = (6*Moment due to eccentric load)/(Depth of Column*(Width of column^2))

Eccentricity for given moment due to eccentric load

Go Eccentricity of Loading = Moment due to eccentric load/Eccentric load on column

Load given Moment due to Eccentric Load

Go Eccentric load on column = Moment due to eccentric load/Eccentricity of Loading

Moment due to eccentric load

Go Moment due to eccentric load = Eccentric load on column*Eccentricity of Loading

Maximum stress

Go Maximum Stress on Column Section = (Direct stress+Bending Stress in Column)

Moment of inertia of column section about neutral axis

Go MOI of Area of Circular Section = (Depth of Column*(Width of column^3))/12

Minimum stress

Go Minimum Stress Value = (Direct Stress-Bending Stress in Column)

Moment of inertia of column section about neutral axis Formula

MOI of Area of Circular Section = (Depth of Column*(Width of column^3))/12
I_circular = (h*(b^3))/12

What type of stress is developed due to bending?

In torsion of a circular shaft, the action was all shear; contiguous cross sections sheared over one another in their rotation about the axis of the shaft. Here, the major stresses induced due to bending are normal stresses of tension and compression.

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

Moment of inertia of column section about neutral axis calculator uses MOI of Area of Circular Section = (Depth of Column*(Width of column^3))/12 to calculate the MOI of Area of Circular Section, The Moment of inertia of column section about neutral axis formula 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 of column section about neutral axis using this online calculator? To use this online calculator for Moment of inertia of column section about neutral axis, enter Depth of Column (h) & Width of column (b) and hit the calculate button. Here is how the Moment of inertia of column section about neutral axis calculation can be explained with given input values -> 5.4E+22 = (3*(0.6^3))/12.

FAQ

What is Moment of inertia of column section about neutral axis?

The Moment of inertia of column section about neutral axis formula 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 = (h*(b^3))/12 or MOI of Area of Circular Section = (Depth of Column*(Width of column^3))/12. Depth of Column is the distance from the top or surface to the bottom of something & Width of column is describing how wide the column is.

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

The Moment of inertia of column section about neutral axis formula 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 = (Depth of Column*(Width of column^3))/12. To calculate Moment of inertia of column section about neutral axis, you need Depth of Column (h) & Width of column (b). With our tool, you need to enter the respective value for Depth of Column & Width of column 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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