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Moment of Inertia about Neutral Axis given Section Modulus Formula

GoMoment of Inertia of Neutral axis given Maximum Moment of Resistance Formula

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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. Check FAQs

I circular = Z \cdot Y max

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

Moment of Inertia about Neutral Axis given Section Modulus Example

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

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

Here is how the Moment of Inertia about Neutral Axis given Section Modulus equation looks like.

1.9E+8 = 25000 \cdot 7500

1.9E+8mm⁴ = 25000mm³ \cdot 7500mm

1.9E+8 = 25000 \cdot 7500

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Moment of Inertia about Neutral Axis given Section Modulus Solution

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

FIRST Step Consider the formula

I circular = Z \cdot Y max

Next Step Substitute values of Variables

∴

I circular = 25000mm³ \cdot 7500mm

Next Step Convert Units

∴

I circular = 2.5E-5m³ \cdot 7.5m

Next Step Prepare to Evaluate

∴

I circular = 2.5E-5 \cdot 7.5

Next Step Evaluate

∴

I circular = 0.0001875m⁴

Next Step Convert to Output's Unit

∴

I circular = 187500000mm⁴

LAST Step Rounding Answer

∴

I circular = 1.9E+8mm⁴

Moment of Inertia about Neutral Axis given Section Modulus Formula Elements

Variables

MOI of Area of Circular Section

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.

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

Section Modulus

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.

Symbol: Z

Measurement: VolumeUnit: mm³

Note: Value should be greater than 0.

Formulas to find Section Modulus

Distance b/w Outermost and Neutral Layer

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.

Symbol: Y_max

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance b/w Outermost and Neutral Layer

Other Formulas to find MOI of Area of Circular Section

Go Moment of Inertia of Neutral axis given Maximum Moment of Resistance

I circular = \frac{M r \cdot Y max}{σ max}

Other formulas in Section Modulus category

Go Section Modulus given Maximum Moment of Resistance

Z = \frac{M r}{σ max}

Go Maximum Stress given Maximum Moment of Resistance and Section Modulus

σ max = \frac{M r}{Z}

Go Maximum Moment of Resistance given Section Modulus

M r = Z \cdot σ max

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

Y max = \frac{σ max \cdot I circular}{M r}

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

Moment of Inertia about Neutral Axis given Section Modulus evaluator uses MOI of Area of Circular Section = Section Modulus*Distance b/w Outermost and Neutral Layer to evaluate 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 evaluate Moment of Inertia about Neutral Axis given Section Modulus using this online evaluator? To use this online evaluator 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.

FAQs on Moment of Inertia about Neutral Axis given Section Modulus

What is the formula to find Moment of Inertia about Neutral Axis given Section Modulus?

The formula of Moment of Inertia about Neutral Axis given Section Modulus is expressed as MOI of Area of Circular Section = Section Modulus*Distance b/w Outermost and Neutral Layer. Here is an example- 1.9E+20 = 2.5E-05*7.5.

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

With Section Modulus (Z) & Distance b/w Outermost and Neutral Layer (Y_max) we can find Moment of Inertia about Neutral Axis given Section Modulus using the formula - MOI of Area of Circular Section = Section Modulus*Distance b/w Outermost and Neutral Layer.

What are the other ways to Calculate MOI of Area of Circular Section?

Here are the different ways to Calculate MOI of Area of Circular Section-

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

Can the Moment of Inertia about Neutral Axis given Section Modulus be negative?

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

Which unit is used to measure Moment of Inertia about Neutral Axis given Section Modulus?

Moment of Inertia about Neutral Axis given Section Modulus 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 given Section Modulus can be measured.

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Moment of Inertia about Neutral Axis given Section Modulus Formula

​GoMoment of Inertia of Neutral axis given Maximum Moment of Resistance Formula

Moment of Inertia about Neutral Axis given Section Modulus Example

Moment of Inertia about Neutral Axis given Section Modulus Solution

Moment of Inertia about Neutral Axis given Section Modulus Formula Elements

Other Formulas to find MOI of Area of Circular Section

Other formulas in Section Modulus category

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

FAQs on Moment of Inertia about Neutral Axis given Section Modulus

Variable Name

GoMoment of Inertia of Neutral axis given Maximum Moment of Resistance Formula