FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Moment of Inertia of Section for I-section Formula

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

Fx Copy

LaTeX Copy

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}{2 \cdot 𝜏 beam} \cdot (\frac{D^{2}}{2} - y^{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?y - Distance from Neutral Axis?

Moment of Inertia of Section for I-section Example

With values

With units

Only example

Here is how the Moment of Inertia of Section for I-section equation looks like with Values.

Here is how the Moment of Inertia of Section for I-section equation looks like with Units.

Here is how the Moment of Inertia of Section for I-section equation looks like.

0.0162 = \frac{4.8}{2 \cdot 6} \cdot (\frac{9000^{2}}{2} - 5^{2})

0.0162m⁴ = \frac{4.8kN}{2 \cdot 6MPa} \cdot (\frac{{9000mm}^{2}}{2} - {5mm}^{2})

0.0162 = \frac{4.8}{2 \cdot 6} \cdot (\frac{9000^{2}}{2} - 5^{2})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Strength of Materials » fx Moment of Inertia of Section for I-section

Moment of Inertia of Section for I-section Solution

Follow our step by step solution on how to calculate Moment of Inertia of Section for I-section?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

I = \frac{4.8kN}{2 \cdot 6MPa} \cdot (\frac{{9000mm}^{2}}{2} - {5mm}^{2})

Next Step Convert Units

∴

I = \frac{4800N}{2 \cdot 6E+6Pa} \cdot (\frac{{9m}^{2}}{2} - {0.005m}^{2})

Next Step Prepare to Evaluate

∴

I = \frac{4800}{2 \cdot 6E+6} \cdot (\frac{9^{2}}{2} - {0.005}^{2})

Next Step Evaluate

∴

I = 0.01619999m⁴

LAST Step Rounding Answer

∴

I = 0.0162m⁴

Moment of Inertia of Section for I-section 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

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 I section given Shear Stress in Lower Edge of Flange

I = \frac{F s}{8 \cdot 𝜏 beam} \cdot (D^{2} - d^{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 Section for I-section?

Moment of Inertia of Section for I-section evaluator uses 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) to evaluate the Moment of Inertia of Area of Section, The Moment of Inertia of Section for I-section formula is defined as a measure of the tendency of an I-shaped section to resist deformation due to external torque, providing a crucial parameter in calculating shear stress and beam deflection in structural analysis. Moment of Inertia of Area of Section is denoted by I symbol.

How to evaluate Moment of Inertia of Section for I-section using this online evaluator? To use this online evaluator for Moment of Inertia of Section for I-section, enter Shear Force on Beam (F_s), Shear Stress in Beam (𝜏_beam), Outer Depth of I section (D) & Distance from Neutral Axis (y) and hit the calculate button.

FAQs on Moment of Inertia of Section for I-section

What is the formula to find Moment of Inertia of Section for I-section?

The formula of Moment of Inertia of Section for I-section is expressed as 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). Here is an example- 0.0162 = 4800/(2*6000000)*((9^2)/2-0.005^2).

How to calculate Moment of Inertia of Section for I-section?

With Shear Force on Beam (F_s), Shear Stress in Beam (𝜏_beam), Outer Depth of I section (D) & Distance from Neutral Axis (y) we can find Moment of Inertia of Section for I-section using the formula - 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).

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/(8*Shear Stress in Beam)*(Outer Depth of I section^2-Inner Depth of I Section^2)

Can the Moment of Inertia of Section for I-section be negative?

No, the Moment of Inertia of Section for I-section, measured in Second Moment of Area cannot be negative.

Which unit is used to measure Moment of Inertia of Section for I-section?

Moment of Inertia of Section for I-section 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 Section for I-section can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Moment of Inertia of Section for I-section Formula

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

Moment of Inertia of Section for I-section Example

Moment of Inertia of Section for I-section Solution

Moment of Inertia of Section for I-section 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 Section for I-section?

FAQs on Moment of Inertia of Section for I-section

Variable Name

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