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

GoMoment of Inertia about Neutral Axis given Section Modulus 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 = \frac{M r \cdot Y max}{σ max}

I_circular - MOI of Area of Circular Section?M_r - Maximum Moment of Resistance?Y_max - Distance b/w Outermost and Neutral Layer?σ_max - Maximum Stress in Layer?

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

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Here is how the Moment of Inertia of Neutral axis given Maximum Moment of Resistance equation looks like with Values.

Here is how the Moment of Inertia of Neutral axis given Maximum Moment of Resistance equation looks like with Units.

Here is how the Moment of Inertia of Neutral axis given Maximum Moment of Resistance equation looks like.

103.125 = \frac{2.2E+8 \cdot 7500}{16}

103.125mm⁴ = \frac{2.2E+8mm⁴ \cdot 7500mm}{16MPa}

103.125 = \frac{2.2E+8 \cdot 7500}{16}

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

Follow our step by step solution on how to calculate Moment of Inertia of Neutral axis given Maximum Moment of Resistance?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

I circular = \frac{2.2E+8mm⁴ \cdot 7500mm}{16MPa}

Next Step Convert Units

∴

I circular = \frac{0.0002m⁴ \cdot 7.5m}{1.6E+7Pa}

Next Step Prepare to Evaluate

∴

I circular = \frac{0.0002 \cdot 7.5}{1.6E+7}

Next Step Evaluate

∴

I circular = 1.03125E-10m⁴

LAST Step Convert to Output's Unit

∴

I circular = 103.125mm⁴

Moment of Inertia of Neutral axis given Maximum Moment of Resistance 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

Maximum Moment of Resistance

Maximum moment of resistance is the highest internal moment that a structural section can withstand before failure.

Symbol: M_r

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find Maximum Moment of Resistance

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

Maximum Stress in Layer

Maximum stress in layer is the highest stress experienced at the outermost fibers of a material or structural element under load crucial in the analysis of beams.

Symbol: σ_max

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Maximum Stress in Layer

Other Formulas to find MOI of Area of Circular Section

Go Moment of Inertia about Neutral Axis given Section Modulus

I circular = Z \cdot Y 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 of Neutral axis given Maximum Moment of Resistance?

Moment of Inertia of Neutral axis given Maximum Moment of Resistance evaluator uses MOI of Area of Circular Section = (Maximum Moment of Resistance*Distance b/w Outermost and Neutral Layer)/Maximum Stress in Layer to evaluate the MOI of Area of Circular Section, Moment of Inertia of Neutral axis given Maximum Moment of Resistance formula is defined as a measure of the ability of a cross-section to resist bending, which is essential in determining the stress and strain on a beam under load, providing critical information for structural engineers and designers. MOI of Area of Circular Section is denoted by I_circular symbol.

How to evaluate Moment of Inertia of Neutral axis given Maximum Moment of Resistance using this online evaluator? To use this online evaluator for Moment of Inertia of Neutral axis given Maximum Moment of Resistance, enter Maximum Moment of Resistance (M_r), Distance b/w Outermost and Neutral Layer (Y_max) & Maximum Stress in Layer (σ_max) and hit the calculate button.

FAQs on Moment of Inertia of Neutral axis given Maximum Moment of Resistance

What is the formula to find Moment of Inertia of Neutral axis given Maximum Moment of Resistance?

The formula of Moment of Inertia of Neutral axis given Maximum Moment of Resistance is expressed as MOI of Area of Circular Section = (Maximum Moment of Resistance*Distance b/w Outermost and Neutral Layer)/Maximum Stress in Layer. Here is an example- 1E+14 = (0.00022*7.5)/16000000.

How to calculate Moment of Inertia of Neutral axis given Maximum Moment of Resistance?

With Maximum Moment of Resistance (M_r), Distance b/w Outermost and Neutral Layer (Y_max) & Maximum Stress in Layer (σ_max) we can find Moment of Inertia of Neutral axis given Maximum Moment of Resistance using the formula - MOI of Area of Circular Section = (Maximum Moment of Resistance*Distance b/w Outermost and Neutral Layer)/Maximum Stress in 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=Section Modulus*Distance b/w Outermost and Neutral Layer

Can the Moment of Inertia of Neutral axis given Maximum Moment of Resistance be negative?

No, the Moment of Inertia of Neutral axis given Maximum Moment of Resistance, measured in Second Moment of Area cannot be negative.

Which unit is used to measure Moment of Inertia of Neutral axis given Maximum Moment of Resistance?

Moment of Inertia of Neutral axis given Maximum Moment of Resistance 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 Neutral axis given Maximum Moment of Resistance can be measured.

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

​GoMoment of Inertia about Neutral Axis given Section Modulus Formula

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

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

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

Other Formulas to find MOI of Area of Circular Section

Other formulas in Section Modulus category

How to Evaluate Moment of Inertia of Neutral axis given Maximum Moment of Resistance?

FAQs on Moment of Inertia of Neutral axis given Maximum Moment of Resistance

Variable Name

GoMoment of Inertia about Neutral Axis given Section Modulus Formula