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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Formula

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Moment of Flange Area about Neutral Axis

Formula

`"I" = ("B"*("D"^2-"d"^2))/8`

Example

`"1.009969m⁴"=("100mm"*(("9000mm")^2-("450mm")^2))/8`

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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 00.004 seconds)

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Home » Physics » Strength of Materials » Shear Stress In Beam » Shear Stress Distribution for Different Sections » Shear Stress in I Section » Shear Stress Distribution in Web » Moment of Flange Area about Neutral Axis

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National Institute Of Technology (NIT), Hamirpur

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Indian Institute of Information Technology (IIIT), Guwahati

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< 18 Shear Stress Distribution in Web Calculators

Shear Force in Web

Go Shear Force on Beam = (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))/8+Thickness of Beam Web/2*(Inner Depth of I Section^2/4-Distance from Neutral Axis^2))

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

Go 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))

Shear Stress in Web

Go Shear Stress in Beam = Shear Force on Beam/(Moment of Inertia of Area of Section*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))

Thickness of Web given Shear Stress of Web

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-Shear Force on Beam*(Inner Depth of I Section^2-4*Distance from Neutral Axis^2))

Maximum Shear Stress in I Section

Go Maximum Shear Stress on Beam = Shear Force on Beam/(Moment of Inertia of Area of Section*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)

Maximum Shear Force in I Section

Go Shear Force on Beam = (Maximum Shear Stress on Beam*Moment of Inertia of Area of Section*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 I-Section given Maximum Shear Stress and Force

Go 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)

Thickness of Web given Maximum Shear Stress and Force

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

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

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

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

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 Stress at Junction of Top of Web

Go Shear Stress in Beam = (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*Thickness of Beam Web)

Shear Force at Junction of Top of Web

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))

Thickness of Web

Go Thickness of Beam Web = (2*Moment of Inertia of Area of Section)/((Inner Depth of I Section^2)/4-Distance from Neutral Axis^2)

Moment of Shaded Area of Web about Neutral Axis

Go Moment of Inertia of Area of Section = Thickness of Beam Web/2*(Inner Depth of I Section^2/4-Distance from Neutral Axis^2)

Width of Section given Moment of Flange Area about Neutral Axis

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

Moment of Flange Area about Neutral Axis

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

Distance of Considered Level from Neutral Axis at Junction of Top of Web

Go Distance from Neutral Axis = Inner Depth of I Section/2

Moment of Flange Area about Neutral Axis 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
I = (B*(D^2-d^2))/8

Why shear stress is maximum at neutral axis?

The maximum shear stress is located at the neutral axis. As the point moves further from the neutral axis, the value of the shear stress is reduced until it reaches zero at both extremes. On the other hand, if the member is subjected to an axial load, shear stress varies with rotating the element.

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 geometrical property of an area which reflects how its points are distributed with regard to an arbitrary axis. 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 geometrical property of an area which reflects how its points are distributed with regard to an arbitrary axis 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 geometrical property of an area which reflects how its points are distributed with regard to an arbitrary axis 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 4 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))
Moment of Inertia of Area of Section = Thickness of Beam Web/2*(Inner Depth of I Section^2/4-Distance from Neutral Axis^2)

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