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Moment of Inertia of I section given Shear Stress in Lower Edge of Flange Formula

GoMoment of Inertia of Section for I-section 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{F s}{8 \cdot 𝜏 beam} \cdot (D^{2} - d^{2})

I - Moment of Inertia of Area of Section?F_s - Shear Force on Beam?𝜏_beam - Shear Stress in Beam?D - Outer Depth of I section?d - Inner Depth of I Section?

Moment of Inertia of I section given Shear Stress in Lower Edge of Flange Example

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Here is how the Moment of Inertia of I section given Shear Stress in Lower Edge of Flange equation looks like with Values.

Here is how the Moment of Inertia of I section given Shear Stress in Lower Edge of Flange equation looks like with Units.

Here is how the Moment of Inertia of I section given Shear Stress in Lower Edge of Flange equation looks like.

0.0081 = \frac{4.8}{8 \cdot 6} \cdot (9000^{2} - 450^{2})

0.0081m⁴ = \frac{4.8kN}{8 \cdot 6MPa} \cdot ({9000mm}^{2} - {450mm}^{2})

0.0081 = \frac{4.8}{8 \cdot 6} \cdot (9000^{2} - 450^{2})

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Moment of Inertia of I section given Shear Stress in Lower Edge of Flange Solution

Follow our step by step solution on how to calculate Moment of Inertia of I section given Shear Stress in Lower Edge of Flange?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

I = \frac{4.8kN}{8 \cdot 6MPa} \cdot ({9000mm}^{2} - {450mm}^{2})

Next Step Convert Units

∴

I = \frac{4800N}{8 \cdot 6E+6Pa} \cdot ({9m}^{2} - {0.45m}^{2})

Next Step Prepare to Evaluate

∴

I = \frac{4800}{8 \cdot 6E+6} \cdot (9^{2} - {0.45}^{2})

Next Step Evaluate

∴

I = 0.00807975m⁴

LAST Step Rounding Answer

∴

I = 0.0081m⁴

Moment of Inertia of I section given Shear Stress in Lower Edge of Flange 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

Shear Force on Beam

Shear Force on Beam is the force which causes shear deformation to occur in the shear plane.

Symbol: F_s

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Shear Force on Beam

Shear Stress in Beam

Shear Stress in Beam is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

Symbol: 𝜏_beam

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear Stress in Beam

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 Moment of Inertia of Area of Section

Go Moment of Inertia of Section for I-section

I = \frac{F s}{2 \cdot 𝜏 beam} \cdot (\frac{D^{2}}{2} - y^{2})

Other formulas in Shear Stress Distribution in Flange category

Go Inner Depth of I-section given Shear Stress in Lower Edge of Flange

d = \sqrt{D^{2} - \frac{8 \cdot I}{F s} \cdot 𝜏 beam}

Go Outer Depth of I section given Shear Stress in Lower Edge of Flange

D = \sqrt{\frac{8 \cdot I}{F s} \cdot 𝜏 beam + d^{2}}

Go Shear Force in Lower Edge of Flange in I-section

F s = \frac{8 \cdot I \cdot 𝜏 beam}{D^{2} - d^{2}}

Go Shear Stress in Lower Edge of Flange of I-section

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

How to Evaluate Moment of Inertia of I section given Shear Stress in Lower Edge of Flange?

Moment of Inertia of I section given Shear Stress in Lower Edge of Flange evaluator uses Moment of Inertia of Area of Section = Shear Force on Beam/(8*Shear Stress in Beam)*(Outer Depth of I section^2-Inner Depth of I Section^2) to evaluate the Moment of Inertia of Area of Section, Moment of Inertia of I section given Shear Stress in Lower Edge of Flange formula is defined as a measure of the tendency of an I-shaped section to resist deformation due to shear stress applied to the lower edge of the flange, providing a critical parameter in structural analysis and design. Moment of Inertia of Area of Section is denoted by I symbol.

How to evaluate Moment of Inertia of I section given Shear Stress in Lower Edge of Flange using this online evaluator? To use this online evaluator for Moment of Inertia of I section given Shear Stress in Lower Edge of Flange, enter Shear Force on Beam (F_s), Shear Stress in Beam (𝜏_beam), Outer Depth of I section (D) & Inner Depth of I Section (d) and hit the calculate button.

FAQs on Moment of Inertia of I section given Shear Stress in Lower Edge of Flange

What is the formula to find Moment of Inertia of I section given Shear Stress in Lower Edge of Flange?

The formula of Moment of Inertia of I section given Shear Stress in Lower Edge of Flange is expressed as Moment of Inertia of Area of Section = Shear Force on Beam/(8*Shear Stress in Beam)*(Outer Depth of I section^2-Inner Depth of I Section^2). Here is an example- 0.00808 = 4800/(8*6000000)*(9^2-0.45^2).

How to calculate Moment of Inertia of I section given Shear Stress in Lower Edge of Flange?

With Shear Force on Beam (F_s), Shear Stress in Beam (𝜏_beam), Outer Depth of I section (D) & Inner Depth of I Section (d) we can find Moment of Inertia of I section given Shear Stress in Lower Edge of Flange using the formula - Moment of Inertia of Area of Section = Shear Force on Beam/(8*Shear Stress in Beam)*(Outer Depth of I section^2-Inner Depth of I Section^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/(2*Shear Stress in Beam)*((Outer Depth of I section^2)/2-Distance from Neutral Axis^2)

Can the Moment of Inertia of I section given Shear Stress in Lower Edge of Flange be negative?

No, the Moment of Inertia of I section given Shear Stress in Lower Edge of Flange, measured in Second Moment of Area cannot be negative.

Which unit is used to measure Moment of Inertia of I section given Shear Stress in Lower Edge of Flange?

Moment of Inertia of I section given Shear Stress in Lower Edge of Flange 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 Inertia of I section given Shear Stress in Lower Edge of Flange can be measured.

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Moment of Inertia of I section given Shear Stress in Lower Edge of Flange Formula

​GoMoment of Inertia of Section for I-section Formula

Moment of Inertia of I section given Shear Stress in Lower Edge of Flange Example

Moment of Inertia of I section given Shear Stress in Lower Edge of Flange Solution

Moment of Inertia of I section given Shear Stress in Lower Edge of Flange Formula Elements

Other Formulas to find Moment of Inertia of Area of Section

Other formulas in Shear Stress Distribution in Flange category

How to Evaluate Moment of Inertia of I section given Shear Stress in Lower Edge of Flange?

FAQs on Moment of Inertia of I section given Shear Stress in Lower Edge of Flange

Variable Name

GoMoment of Inertia of Section for I-section Formula