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Moment of Flange Area about Neutral Axis Formula

GoMoment of Inertia of Section given Shear Stress at Junction of Top of Web Formula

GoMoment of Inertia of I-Section given Maximum Shear Stress and Force Formula

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Moment of Inertia of Area of Section is the second moment of the area of the section about the neutral axis. Check FAQs

I = \frac{B \cdot (D^{2} - d^{2})}{8}

I - Moment of Inertia of Area of Section?B - Width of Beam Section?D - Outer Depth of I section?d - Inner Depth of I Section?

Moment of Flange Area about Neutral Axis Example

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Here is how the Moment of Flange Area about Neutral Axis equation looks like with Values.

Here is how the Moment of Flange Area about Neutral Axis equation looks like with Units.

Here is how the Moment of Flange Area about Neutral Axis equation looks like.

1.01 = \frac{100 \cdot (9000^{2} - 450^{2})}{8}

1.01m⁴ = \frac{100mm \cdot ({9000mm}^{2} - {450mm}^{2})}{8}

1.01 = \frac{100 \cdot (9000^{2} - 450^{2})}{8}

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Moment of Flange Area about Neutral Axis Solution

Follow our step by step solution on how to calculate Moment of Flange Area about Neutral Axis?

FIRST Step Consider the formula

I = \frac{B \cdot (D^{2} - d^{2})}{8}

Next Step Substitute values of Variables

∴

I = \frac{100mm \cdot ({9000mm}^{2} - {450mm}^{2})}{8}

Next Step Convert Units

∴

I = \frac{0.1m \cdot ({9m}^{2} - {0.45m}^{2})}{8}

Next Step Prepare to Evaluate

∴

I = \frac{0.1 \cdot (9^{2} - {0.45}^{2})}{8}

Next Step Evaluate

∴

I = 1.00996875m⁴

LAST Step Rounding Answer

∴

I = 1.01m⁴

Moment of Flange Area about Neutral Axis Formula Elements

Variables

Moment of Inertia of Area of Section

Moment of Inertia of Area of Section is the second moment of the area of the section about the neutral axis.

Symbol: I

Measurement: Second Moment of AreaUnit: m⁴

Note: Value should be greater than 0.

Formulas to find Moment of Inertia of Area of Section

Width of Beam Section

Width of Beam Section is the width of the rectangular cross-section of the beam parallel to the axis in consideration.

Symbol: B

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Beam Section

Outer Depth of I section

The Outer Depth of I section is a measure of distance, the distance between the outer bars of the I-section.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Depth of I section

Inner Depth of I Section

Inner Depth of I Section is a measure of distance, the distance between the inner bars of the I-section.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Depth of I Section

Other Formulas to find Moment of Inertia of Area of Section

Go Moment of Inertia of Section given Shear Stress at Junction of Top of Web

I = \frac{F s \cdot B \cdot (D^{2} - d^{2})}{8 \cdot 𝜏 beam \cdot b}

Go Moment of Inertia of I-Section given Maximum Shear Stress and Force

I = \frac{F s}{𝜏 beam \cdot b} \cdot (\frac{B \cdot (D^{2} - d^{2})}{8} + \frac{b \cdot d^{2}}{8})

Go Moment of Inertia of I-Section given Shear Stress of Web

I = \frac{F s}{𝜏 beam \cdot b} \cdot (\frac{B}{8} \cdot (D^{2} - d^{2}) + \frac{b}{2} \cdot (\frac{d^{2}}{4} - y^{2}))

Go Moment of Shaded Area of Web about Neutral Axis

I = \frac{b}{2} \cdot (\frac{d^{2}}{4} - y^{2})

Other formulas in Shear Stress Distribution in Web category

Go Thickness of Web given Shear Stress at Junction of Top of Web

b = \frac{F s \cdot B \cdot (D^{2} - d^{2})}{8 \cdot I \cdot 𝜏 beam}

Go Width of Section given Shear Stress at Junction of Top of Web

B = \frac{𝜏 beam \cdot 8 \cdot I \cdot b}{F s \cdot (D^{2} - d^{2})}

Go Shear Force at Junction of Top of Web

F s = \frac{8 \cdot I \cdot b \cdot 𝜏 beam}{B \cdot (D^{2} - d^{2})}

Go Shear Stress at Junction of Top of Web

𝜏 beam = \frac{F s \cdot B \cdot (D^{2} - d^{2})}{8 \cdot I \cdot b}

How to Evaluate Moment of Flange Area about Neutral Axis?

Moment of Flange Area about Neutral Axis evaluator uses Moment of Inertia of Area of Section = (Width of Beam Section*(Outer Depth of I section^2-Inner Depth of I Section^2))/8 to evaluate the Moment of Inertia of Area of Section, The Moment of Flange Area about Neutral Axis formula is defined as a measure of the flange area's resistance to bending or twisting forces around the neutral axis in an I-section beam, providing a critical calculation in shear stress analysis. Moment of Inertia of Area of Section is denoted by I symbol.

How to evaluate Moment of Flange Area about Neutral Axis using this online evaluator? To use this online evaluator for Moment of Flange Area about Neutral Axis, enter Width of Beam Section (B), Outer Depth of I section (D) & Inner Depth of I Section (d) and hit the calculate button.

FAQs on Moment of Flange Area about Neutral Axis

What is the formula to find Moment of Flange Area about Neutral Axis?

The formula of Moment of Flange Area about Neutral Axis is expressed as Moment of Inertia of Area of Section = (Width of Beam Section*(Outer Depth of I section^2-Inner Depth of I Section^2))/8. Here is an example- 1.009969 = (0.1*(9^2-0.45^2))/8.

How to calculate Moment of Flange Area about Neutral Axis?

With Width of Beam Section (B), Outer Depth of I section (D) & Inner Depth of I Section (d) we can find Moment of Flange Area about Neutral Axis using the formula - Moment of Inertia of Area of Section = (Width of Beam Section*(Outer Depth of I section^2-Inner Depth of I Section^2))/8.

What are the other ways to Calculate Moment of Inertia of Area of Section?

Here are the different ways to Calculate Moment of Inertia of Area of Section-

Moment of Inertia of Area of Section=(Shear Force on Beam*Width of Beam Section*(Outer Depth of I section^2-Inner Depth of I Section^2))/(8*Shear Stress in Beam*Thickness of Beam Web)
Moment of Inertia of Area of Section=Shear Force on Beam/(Shear Stress in Beam*Thickness of Beam Web)*((Width of Beam Section*(Outer Depth of I section^2-Inner Depth of I Section^2))/8+(Thickness of Beam Web*Inner Depth of I Section^2)/8)
Moment of Inertia of Area of Section=Shear Force on Beam/(Shear Stress in Beam*Thickness of Beam Web)*(Width of Beam Section/8*(Outer Depth of I section^2-Inner Depth of I Section^2)+Thickness of Beam Web/2*(Inner Depth of I Section^2/4-Distance from Neutral Axis^2))

Can the Moment of Flange Area about Neutral Axis be negative?

No, the Moment of Flange Area about Neutral Axis, measured in Second Moment of Area cannot be negative.

Which unit is used to measure Moment of Flange Area about Neutral Axis?

Moment of Flange Area about Neutral Axis is usually measured using the Meter⁴[m⁴] for Second Moment of Area. Centimeter⁴[m⁴], Millimeter⁴[m⁴] are the few other units in which Moment of Flange Area about Neutral Axis can be measured.

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Moment of Flange Area about Neutral Axis Formula

​GoMoment of Inertia of Section given Shear Stress at Junction of Top of Web Formula

​GoMoment of Inertia of I-Section given Maximum Shear Stress and Force Formula

Moment of Flange Area about Neutral Axis Example

Moment of Flange Area about Neutral Axis Solution

Moment of Flange Area about Neutral Axis Formula Elements

Other Formulas to find Moment of Inertia of Area of Section

Other formulas in Shear Stress Distribution in Web category

How to Evaluate Moment of Flange Area about Neutral Axis?

FAQs on Moment of Flange Area about Neutral Axis

Variable Name

GoMoment of Inertia of Section given Shear Stress at Junction of Top of Web Formula

GoMoment of Inertia of I-Section given Maximum Shear Stress and Force Formula