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

GoWidth of Section given Shear Stress at Junction of Top of Web Formula

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

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

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

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

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

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

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

0.1663 = \frac{8 \cdot 0.0017}{9000^{2} - 450^{2}}

0.1663mm = \frac{8 \cdot 0.0017m⁴}{{9000mm}^{2} - {450mm}^{2}}

0.1663 = \frac{8 \cdot 0.0017}{9000^{2} - 450^{2}}

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Strength of Materials » fx Width of Section given Moment of Flange Area about Neutral Axis

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

B = \frac{8 \cdot 0.0017m⁴}{{9000mm}^{2} - {450mm}^{2}}

Next Step Convert Units

∴

B = \frac{8 \cdot 0.0017m⁴}{{9m}^{2} - {0.45m}^{2}}

Next Step Prepare to Evaluate

∴

B = \frac{8 \cdot 0.0017}{9^{2} - {0.45}^{2}}

Next Step Evaluate

∴

B = 0.000166341780376868m

Next Step Convert to Output's Unit

∴

B = 0.166341780376868mm

LAST Step Rounding Answer

∴

B = 0.1663mm

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

Variables

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

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

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 Width of Beam Section

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})}

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

Width of Section given Moment of Flange Area about Neutral Axis evaluator 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 evaluate 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 evaluate Width of Section given Moment of Flange Area about Neutral Axis using this online evaluator? To use this online evaluator 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.

FAQs on Width of Section given Moment of Flange Area about Neutral Axis

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

The formula of Width of Section given Moment of Flange Area about Neutral Axis is expressed as Width of Beam Section = (8*Moment of Inertia of Area of Section)/(Outer Depth of I section^2-Inner Depth of I Section^2). Here is an example- 166.3418 = (8*0.00168)/(9^2-0.45^2).

How to calculate Width of Section given Moment of Flange Area about Neutral Axis?

With Moment of Inertia of Area of Section (I), Outer Depth of I section (D) & Inner Depth of I Section (d) we can find Width of Section given Moment of Flange Area about Neutral Axis using the 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).

What are the other ways to Calculate Width of Beam Section?

Here are the different ways to Calculate Width of Beam Section-

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))

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

Yes, the Width of Section given Moment of Flange Area about Neutral Axis, measured in Length can be negative.

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

Width of Section given Moment of Flange Area about Neutral Axis is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Width of Section given Moment of Flange Area about Neutral Axis can be measured.

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

​GoWidth of Section given Shear Stress at Junction of Top of Web Formula

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

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

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

Other Formulas to find Width of Beam Section

Other formulas in Shear Stress Distribution in Web category

How to Evaluate Width of Section given Moment of Flange Area about Neutral Axis?

FAQs on Width of Section given Moment of Flange Area about Neutral Axis

Variable Name

GoWidth of Section given Shear Stress at Junction of Top of Web Formula