Moment of Flange Area about Neutral Axis Calculator

✖Width of Beam Section is the width of the rectangular cross-section of the beam parallel to the axis in consideration.ⓘ Width of Beam Section [B]			+10% -10%
✖The Outer Depth of I section is a measure of distance, the distance between the outer bars of the I-section.ⓘ Outer Depth of I section [D]			+10% -10%
✖Inner Depth of I Section is a measure of distance, the distance between the inner bars of the I-section.ⓘ Inner Depth of I Section [d]			+10% -10%

✖Moment of Inertia of Area of Section is the second moment of the area of the section about the neutral axis.ⓘ Moment of Flange Area about Neutral Axis [I]

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Moment of Flange Area about Neutral Axis Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia of Area of Section = (Width of Beam Section*(Outer Depth of I section^2-Inner Depth of I Section^2))/8
I = (B*(D^2-d^2))/8
This formula uses 4 Variables

Variables Used

Moment of Inertia of Area of Section - (Measured in Meter⁴) - Moment of Inertia of Area of Section is the second moment of the area of the section about the neutral axis.
Width of Beam Section - (Measured in Meter) - Width of Beam Section is the width of the rectangular cross-section of the beam parallel to the axis in consideration.
Outer Depth of I section - (Measured in Meter) - The Outer Depth of I section is a measure of distance, the distance between the outer bars of the I-section.
Inner Depth of I Section - (Measured in Meter) - Inner Depth of I Section is a measure of distance, the distance between the inner bars of the I-section.

STEP 1: Convert Input(s) to Base Unit

Width of Beam Section: 100 Millimeter --> 0.1 Meter (Check conversion here)
Outer Depth of I section: 9000 Millimeter --> 9 Meter (Check conversion here)
Inner Depth of I Section: 450 Millimeter --> 0.45 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = (B*(D^2-d^2))/8 --> (0.1*(9^2-0.45^2))/8

Evaluating ... ...

I = 1.00996875

STEP 3: Convert Result to Output's Unit

1.00996875 Meter⁴ --> No Conversion Required

FINAL ANSWER

1.00996875 ≈ 1.009969 Meter⁴ <-- Moment of Inertia of Area of Section

(Calculation completed in 00.020 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Shear Stress Distribution in Web Calculators

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

LaTeX Go 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)

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

LaTeX Go Thickness of Beam Web = (Shear Force on Beam*Width of Beam Section*(Outer Depth of I section^2-Inner Depth of I Section^2))/(8*Moment of Inertia of Area of Section*Shear Stress in Beam)

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

LaTeX Go Width of Beam Section = (Shear Stress in Beam*8*Moment of Inertia of Area of Section*Thickness of Beam Web)/(Shear Force on Beam*(Outer Depth of I section^2-Inner Depth of I Section^2))

Shear Force at Junction of Top of Web

LaTeX Go Shear Force on Beam = (8*Moment of Inertia of Area of Section*Thickness of Beam Web*Shear Stress in Beam)/(Width of Beam Section*(Outer Depth of I section^2-Inner Depth of I Section^2))

Moment of Flange Area about Neutral Axis Formula

LaTeX Go

Moment of Inertia of Area of Section = (Width of Beam Section*(Outer Depth of I section^2-Inner Depth of I Section^2))/8
I = (B*(D^2-d^2))/8

What is Moment of Flange Area?

The moment of the flange area is a measure used in structural engineering and mechanics to describe how the area of a flange contributes to the overall resistance of a structural member (such as an I-beam) to bending and shear forces. This concept is particularly important when analyzing I-beams, where the flanges (the horizontal parts of the I) play a crucial role in carrying bending moments.

How to Calculate Moment of Flange Area about Neutral Axis?

Moment of Flange Area about Neutral Axis calculator 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 calculate 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 calculate Moment of Flange Area about Neutral Axis using this online calculator? To use this online calculator 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. Here is how the Moment of Flange Area about Neutral Axis calculation can be explained with given input values -> 1.009969 = (0.1*(9^2-0.45^2))/8.

FAQ

What is Moment of Flange Area about Neutral Axis?

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 and is represented as I = (B*(D^2-d^2))/8 or Moment of Inertia of Area of Section = (Width of Beam Section*(Outer Depth of I section^2-Inner Depth of I Section^2))/8. Width of Beam Section is the width of the rectangular cross-section of the beam parallel to the axis in consideration, The Outer Depth of I section is a measure of distance, the distance between the outer bars of the I-section & Inner Depth of I Section is a measure of distance, the distance between the inner bars of the I-section.

How to calculate Moment of Flange Area about Neutral Axis?

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 is calculated using 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 calculate Moment of Flange Area about Neutral Axis, you need Width of Beam Section (B), Outer Depth of I section (D) & Inner Depth of I Section (d). With our tool, you need to enter the respective value for Width of Beam Section, Outer Depth of I section & Inner Depth of I Section 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 Moment of Inertia of Area of Section?

In this formula, Moment of Inertia of Area of Section uses Width of Beam Section, Outer Depth of I section & Inner Depth of I Section. We can use 3 other way(s) to calculate the same, which is/are as follows -

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))

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