Moment of Inertia about Neutral Axis given Section Modulus Calculator

✖Section modulus is a geometric property of a cross-section used in the design of beams and other flexural members is a measure of the strength of a section and its ability to resist bending.ⓘ Section Modulus [Z]			+10% -10%
✖Distance b/w outermost and neutral layer is a numerical measurement of how far apart objects or points are used to calculate bending stresses in beams.ⓘ Distance b/w Outermost and Neutral Layer [Y_max]			+10% -10%

✖MOI of area of circular section also known as the second moment of area, is a measure of an object’s resistance to bending or deflection around a specific axis.ⓘ Moment of Inertia about Neutral Axis given Section Modulus [I_circular]

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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 also known as the second moment of area, is a measure of an object’s resistance to bending or deflection around a specific axis.
Section Modulus - (Measured in Cubic Meter) - Section modulus is a geometric property of a cross-section used in the design of beams and other flexural members is a measure of the strength of a section and its ability to resist bending.
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 used to calculate bending stresses in beams.

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 00.020 seconds)

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< Section Modulus Calculators

Moment of Inertia of Neutral axis given Maximum Moment of Resistance

LaTeX 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 and Section Modulus

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

Section Modulus given Maximum Moment of Resistance

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

Maximum Moment of Resistance given Section Modulus

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

Moment of Inertia about Neutral Axis given Section Modulus Formula

LaTeX Go

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, Moment of Inertia about Neutral Axis given Section Modulus formula is defined as a measure of the tendency of an object to resist changes in its rotation, providing a way to calculate the bending stress in a beam by considering the section modulus and other factors. 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?

Moment of Inertia about Neutral Axis given Section Modulus formula is defined as a measure of the tendency of an object to resist changes in its rotation, providing a way to calculate the bending stress in a beam by considering the section modulus and other factors 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 of a cross-section used in the design of beams and other flexural members is a measure of the strength of a section and its ability to resist bending & Distance b/w outermost and neutral layer is a numerical measurement of how far apart objects or points are used to calculate bending stresses in beams.

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

Moment of Inertia about Neutral Axis given Section Modulus formula is defined as a measure of the tendency of an object to resist changes in its rotation, providing a way to calculate the bending stress in a beam by considering the section modulus and other factors 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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