Width of Section given Moment of Flange Area about Neutral Axis Calculator

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

✖Width of Beam Section is the width of the rectangular cross-section of the beam parallel to the axis in consideration.ⓘ Width of Section given Moment of Flange Area about Neutral Axis [B]

⎘ Copy

👎

Formula

✖

Width of Section given Moment of Flange Area about Neutral Axis

Formula

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

Example

`"0.166342mm"=(8*"0.00168m⁴")/(("9000mm")^2-("450mm")^2)`

Calculator

LaTeX

Reset

👍

Download Shear Stress in I Section Formulas PDF

Width of Section given Moment of Flange Area about Neutral Axis Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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

Moment of Inertia of Area of Section: 0.00168 Meter⁴ --> 0.00168 Meter⁴ No Conversion Required
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

B = (8*I)/(D^2-d^2) --> (8*0.00168)/(9^2-0.45^2)

Evaluating ... ...

B = 0.000166341780376868

STEP 3: Convert Result to Output's Unit

0.000166341780376868 Meter -->0.166341780376868 Millimeter (Check conversion here)

FINAL ANSWER

0.166341780376868 ≈ 0.166342 Millimeter <-- Width of Beam Section

(Calculation completed in 00.020 seconds)

You are here -

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 » Width of Section given Moment of Flange Area about Neutral Axis

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Dipto Mandal

Indian Institute of Information Technology (IIIT), Guwahati

Dipto Mandal has verified this Calculator and 400+ more calculators!

< 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

Width of Section given Moment of Flange Area about Neutral Axis Formula

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

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 Width of Section given Moment of Flange Area about Neutral Axis?

Width of Section given Moment of Flange Area about Neutral Axis calculator uses Width of Beam Section = (8*Moment of Inertia of Area of Section)/(Outer Depth of I section^2-Inner Depth of I Section^2) to calculate the Width of Beam Section, The Width of section given moment of flange area about neutral axis formula is defined as the value of how wide the section is. Width of Beam Section is denoted by B symbol.

How to calculate Width of Section given Moment of Flange Area about Neutral Axis using this online calculator? To use this online calculator for Width of Section given Moment of Flange Area about Neutral Axis, enter Moment of Inertia of Area of Section (I), Outer Depth of I section (D) & Inner Depth of I Section (d) and hit the calculate button. Here is how the Width of Section given Moment of Flange Area about Neutral Axis calculation can be explained with given input values -> 166.3418 = (8*0.00168)/(9^2-0.45^2).

FAQ

What is Width of Section given Moment of Flange Area about Neutral Axis?

The Width of section given moment of flange area about neutral axis formula is defined as the value of how wide the section is and is represented as B = (8*I)/(D^2-d^2) or 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 Inertia of Area of Section is the second moment of the area of the section about the neutral axis, 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 Width of Section given Moment of Flange Area about Neutral Axis?

The Width of section given moment of flange area about neutral axis formula is defined as the value of how wide the section is is calculated using Width of Beam Section = (8*Moment of Inertia of Area of Section)/(Outer Depth of I section^2-Inner Depth of I Section^2). To calculate Width of Section given Moment of Flange Area about Neutral Axis, you need Moment of Inertia of Area of Section (I), Outer Depth of I section (D) & Inner Depth of I Section (d). With our tool, you need to enter the respective value for Moment of Inertia of Area of 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 Width of Beam Section?

In this formula, Width of Beam Section uses Moment of Inertia of Area of Section, Outer Depth of I section & Inner Depth of I Section. We can use 1 other way(s) to calculate the same, which is/are as follows -

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))

Home

FREE PDFs

🔍 Search