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Moment of Shaded Area of Web about Neutral Axis Formula

GoMoment of Inertia of Section given Shear Stress at Junction of Top of Web Formula

GoMoment of Inertia of I-Section given Maximum Shear Stress and Force Formula

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Moment of Inertia of Area of Section is the second moment of the area of the section about the neutral axis. Check FAQs

I = \frac{b}{2} \cdot (\frac{d^{2}}{4} - y^{2})

I - Moment of Inertia of Area of Section?b - Thickness of Beam Web?d - Inner Depth of I Section?y - Distance from Neutral Axis?

Moment of Shaded Area of Web about Neutral Axis Example

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Here is how the Moment of Shaded Area of Web about Neutral Axis equation looks like with Values.

Here is how the Moment of Shaded Area of Web about Neutral Axis equation looks like with Units.

Here is how the Moment of Shaded Area of Web about Neutral Axis equation looks like.

0.0002 = \frac{7}{2} \cdot (\frac{450^{2}}{4} - 5^{2})

0.0002m⁴ = \frac{7mm}{2} \cdot (\frac{{450mm}^{2}}{4} - {5mm}^{2})

0.0002 = \frac{7}{2} \cdot (\frac{450^{2}}{4} - 5^{2})

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Moment of Shaded Area of Web about Neutral Axis Solution

Follow our step by step solution on how to calculate Moment of Shaded Area of Web about Neutral Axis?

FIRST Step Consider the formula

I = \frac{b}{2} \cdot (\frac{d^{2}}{4} - y^{2})

Next Step Substitute values of Variables

∴

I = \frac{7mm}{2} \cdot (\frac{{450mm}^{2}}{4} - {5mm}^{2})

Next Step Convert Units

∴

I = \frac{0.007m}{2} \cdot (\frac{{0.45m}^{2}}{4} - {0.005m}^{2})

Next Step Prepare to Evaluate

∴

I = \frac{0.007}{2} \cdot (\frac{{0.45}^{2}}{4} - {0.005}^{2})

Next Step Evaluate

∴

I = 0.0001771m⁴

LAST Step Rounding Answer

∴

I = 0.0002m⁴

Moment of Shaded Area of Web about Neutral Axis Formula Elements

Variables

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

Thickness of Beam Web

Thickness of Beam Web is the thickness of the vertical piece that connects the two flanges.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Beam Web

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

Distance from Neutral Axis

Distance from Neutral Axis is the distance of the considered layer from the neutral layer.

Symbol: y

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Distance from Neutral Axis

Other Formulas to find Moment of Inertia of Area of Section

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 Moment of Inertia of I-Section given Maximum Shear Stress and Force

I = \frac{F s}{𝜏 beam \cdot b} \cdot (\frac{B \cdot (D^{2} - d^{2})}{8} + \frac{b \cdot d^{2}}{8})

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

I = \frac{F s}{𝜏 beam \cdot b} \cdot (\frac{B}{8} \cdot (D^{2} - d^{2}) + \frac{b}{2} \cdot (\frac{d^{2}}{4} - y^{2}))

Go Moment of Flange Area about Neutral Axis

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

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 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})}

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 Moment of Shaded Area of Web about Neutral Axis?

Moment of Shaded Area of Web about Neutral Axis evaluator uses Moment of Inertia of Area of Section = Thickness of Beam Web/2*(Inner Depth of I Section^2/4-Distance from Neutral Axis^2) to evaluate the Moment of Inertia of Area of Section, The Moment of Shaded Area of Web about Neutral Axis formula is defined as a measure of the distribution of area around the neutral axis in an I-section, which is essential in calculating the shear stress and understanding the structural properties of the section. Moment of Inertia of Area of Section is denoted by I symbol.

How to evaluate Moment of Shaded Area of Web about Neutral Axis using this online evaluator? To use this online evaluator for Moment of Shaded Area of Web about Neutral Axis, enter Thickness of Beam Web (b), Inner Depth of I Section (d) & Distance from Neutral Axis (y) and hit the calculate button.

FAQs on Moment of Shaded Area of Web about Neutral Axis

What is the formula to find Moment of Shaded Area of Web about Neutral Axis?

The formula of Moment of Shaded Area of Web about Neutral Axis is expressed as Moment of Inertia of Area of Section = Thickness of Beam Web/2*(Inner Depth of I Section^2/4-Distance from Neutral Axis^2). Here is an example- 0.000177 = 0.007/2*(0.45^2/4-0.005^2).

How to calculate Moment of Shaded Area of Web about Neutral Axis?

With Thickness of Beam Web (b), Inner Depth of I Section (d) & Distance from Neutral Axis (y) we can find Moment of Shaded Area of Web about Neutral Axis using the formula - Moment of Inertia of Area of Section = Thickness of Beam Web/2*(Inner Depth of I Section^2/4-Distance from Neutral Axis^2).

What are the other ways to Calculate Moment of Inertia of Area of Section?

Here are the different ways to Calculate Moment of Inertia of Area of Section-

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))

Can the Moment of Shaded Area of Web about Neutral Axis be negative?

No, the Moment of Shaded Area of Web about Neutral Axis, measured in Second Moment of Area cannot be negative.

Which unit is used to measure Moment of Shaded Area of Web about Neutral Axis?

Moment of Shaded Area of Web about Neutral Axis is usually measured using the Meter⁴[m⁴] for Second Moment of Area. Centimeter⁴[m⁴], Millimeter⁴[m⁴] are the few other units in which Moment of Shaded Area of Web about Neutral Axis can be measured.

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Moment of Shaded Area of Web about Neutral Axis Formula

​GoMoment of Inertia of Section given Shear Stress at Junction of Top of Web Formula

​GoMoment of Inertia of I-Section given Maximum Shear Stress and Force Formula

Moment of Shaded Area of Web about Neutral Axis Example

Moment of Shaded Area of Web about Neutral Axis Solution

Moment of Shaded Area of Web about Neutral Axis Formula Elements

Other Formulas to find Moment of Inertia of Area of Section

Other formulas in Shear Stress Distribution in Web category

How to Evaluate Moment of Shaded Area of Web about Neutral Axis?

FAQs on Moment of Shaded Area of Web about Neutral Axis

Variable Name

GoMoment of Inertia of Section given Shear Stress at Junction of Top of Web Formula

GoMoment of Inertia of I-Section given Maximum Shear Stress and Force Formula