Moment of Inertia about Neutral Axis given Section Modulus Calculator

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Bending Stress In Beam

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Section Modulus

Section Modulus for Various Beams or Shape Sections

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✖Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members.ⓘ Section Modulus [Z]			+10% -10%
✖Distance b/w outermost and neutral layer is a numerical measurement of how far apart objects or points are.ⓘ Distance b/w Outermost and Neutral Layer [Y_max]			+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 about Neutral Axis given Section Modulus [I_circular]

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Formula

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Moment of Inertia about Neutral Axis given Section Modulus

Formula

`"I"_{"circular"} = "Z"*"Y"_{"max"}`

Example

`"1.9E^8mm⁴"="25000mm³"*"7500mm"`

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Moment of Inertia about Neutral Axis given Section Modulus Solution

STEP 0: Pre-Calculation Summary

Formula Used

MOI of Area of Circular Section = Section Modulus*Distance b/w Outermost and Neutral Layer
I_circular = Z*Y_max
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.
Section Modulus - (Measured in Cubic Meter) - Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members.
Distance b/w Outermost and Neutral Layer - (Measured in Meter) - Distance b/w outermost and neutral layer is a numerical measurement of how far apart objects or points are.

STEP 1: Convert Input(s) to Base Unit

Section Modulus: 25000 Cubic Millimeter --> 2.5E-05 Cubic Meter (Check conversion here)
Distance b/w Outermost and Neutral Layer: 7500 Millimeter --> 7.5 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_circular = Z*Y_max --> 2.5E-05*7.5

Evaluating ... ...

I_circular = 0.0001875

STEP 3: Convert Result to Output's Unit

0.0001875 Meter⁴ -->187500000 Millimeter⁴ (Check conversion here)

FINAL ANSWER

187500000 ≈ 1.9E+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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< 11 Section Modulus Calculators

Distance of Outermost Layer from Neutral Axis given Maximum Moment of Resistance

Go Distance b/w Outermost and Neutral Layer = (Maximum Stress in Layer*MOI of Area of Circular Section)/Maximum Moment of Resistance

Moment of Inertia of Neutral axis given Maximum Moment of Resistance

Go MOI of Area of Circular Section = (Maximum Moment of Resistance*Distance b/w Outermost and Neutral Layer)/Maximum Stress in Layer

Maximum Stress given Maximum Moment of Resistance

Go Maximum Stress in Layer = (Maximum Moment of Resistance*Distance b/w Outermost and Neutral Layer)/MOI of Area of Circular Section

Maximum Moment of Resistance

Go Maximum Moment of Resistance = (Maximum Stress in Layer*MOI of Area of Circular Section)/Distance b/w Outermost and Neutral Layer

Distance of Outermost Layer from Neutral Axis using Section Modulus

Go Distance b/w Outermost and Neutral Layer = MOI of Area of Circular Section/Section Modulus

Section Modulus given Distance between Outermost and Neutral Layer

Go Section Modulus = MOI of Area of Circular Section/Distance b/w Outermost and Neutral Layer

Moment of Inertia about Neutral Axis given Section Modulus

Go MOI of Area of Circular Section = Section Modulus*Distance b/w Outermost and Neutral Layer

Maximum Stress given Maximum Moment of Resistance and Section Modulus

Go Maximum Stress in Layer = Maximum Moment of Resistance/Section Modulus

Section Modulus given Maximum Moment of Resistance

Go Section Modulus = Maximum Moment of Resistance/Maximum Stress in Layer

Maximum Moment of Resistance given Section Modulus

Go Maximum Moment of Resistance = Section Modulus*Maximum Stress in Layer

Section Modulus of Square Section

Go Section Modulus = ((Side of Square^3)/6)

Moment of Inertia about Neutral Axis given Section Modulus Formula

MOI of Area of Circular Section = Section Modulus*Distance b/w Outermost and Neutral Layer
I_circular = Z*Y_max

Define section modulus and it's significance.

The section modulus of the cross-sectional shape is of significant importance in designing beams. It is a direct measure of the strength of the beam. A beam that has a larger section modulus than another will be stronger and capable of supporting greater loads.

How to Calculate Moment of Inertia about Neutral Axis given Section Modulus?

Moment of Inertia about Neutral Axis given Section Modulus calculator uses MOI of Area of Circular Section = Section Modulus*Distance b/w Outermost and Neutral Layer to calculate the MOI of Area of Circular Section, The Moment of Inertia about Neutral Axis given Section Modulus formula is defined as the quantity expressed by the body resisting angular acceleration which is the sum of the product of the mass of every particle with its square of a distance from the axis of rotation. MOI of Area of Circular Section is denoted by I_circular symbol.

How to calculate Moment of Inertia about Neutral Axis given Section Modulus using this online calculator? To use this online calculator for Moment of Inertia about Neutral Axis given Section Modulus, enter Section Modulus (Z) & Distance b/w Outermost and Neutral Layer (Y_max) and hit the calculate button. Here is how the Moment of Inertia about Neutral Axis given Section Modulus calculation can be explained with given input values -> 1.9E+20 = 2.5E-05*7.5.

FAQ

What is Moment of Inertia about Neutral Axis given Section Modulus?

The Moment of Inertia about Neutral Axis given Section Modulus formula is defined as the quantity expressed by the body resisting angular acceleration which is the sum of the product of the mass of every particle with its square of a distance from the axis of rotation and is represented as I_circular = Z*Y_max or MOI of Area of Circular Section = Section Modulus*Distance b/w Outermost and Neutral Layer. Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members & Distance b/w outermost and neutral layer is a numerical measurement of how far apart objects or points are.

How to calculate Moment of Inertia about Neutral Axis given Section Modulus?

The Moment of Inertia about Neutral Axis given Section Modulus formula is defined as the quantity expressed by the body resisting angular acceleration which is the sum of the product of the mass of every particle with its square of a distance from the axis of rotation is calculated using MOI of Area of Circular Section = Section Modulus*Distance b/w Outermost and Neutral Layer. To calculate Moment of Inertia about Neutral Axis given Section Modulus, you need Section Modulus (Z) & Distance b/w Outermost and Neutral Layer (Y_max). With our tool, you need to enter the respective value for Section Modulus & Distance b/w Outermost and Neutral Layer and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate MOI of Area of Circular Section?

In this formula, MOI of Area of Circular Section uses Section Modulus & Distance b/w Outermost and Neutral Layer. We can use 1 other way(s) to calculate the same, which is/are as follows -

MOI of Area of Circular Section = (Maximum Moment of Resistance*Distance b/w Outermost and Neutral Layer)/Maximum Stress in Layer

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