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 00.004 seconds)

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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))

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

​LaTeX ​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)
B = (8*I)/(D^2-d^2)

What is Width of Section?

The width of the section in structural engineering refers to the horizontal measurement across the cross-section of a structural member, such as a beam or column. This measurement is crucial for various calculations and design considerations in the analysis of structural components.

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 a measure of the width of a section in an I-shaped beam, which is essential in calculating the shear stress and moment of inertia of the flange area about the neutral axis in structural analysis. 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 a measure of the width of a section in an I-shaped beam, which is essential in calculating the shear stress and moment of inertia of the flange area about the neutral axis in structural analysis 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 a measure of the width of a section in an I-shaped beam, which is essential in calculating the shear stress and moment of inertia of the flange area about the neutral axis in structural analysis 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))
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