FormulaDen.com

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

Moment of Inertia given Longitudinal Shear Stress at lower edge in Flange of I beam Formula

GoMoment of Inertia given Longitudinal Shear Stress in Web for I beam Formula

GoMoment of Inertia given Maximum Longitudinal Shear Stress in Web for I beam Formula

Fx Copy

LaTeX Copy

Area Moment of Inertia is a moment about the centroidal axis without considering mass. Check FAQs

I = (\frac{V}{8 \cdot τ}) \cdot (D^{2} - {d w}^{2})

I - Area Moment of Inertia?V - Shear Force?τ - Shear Stress?D - Overall Depth of I Beam?d_w - Depth of Web?

Moment of Inertia given Longitudinal Shear Stress at lower edge in Flange of I beam Example

With values

With units

Only example

Here is how the Moment of Inertia given Longitudinal Shear Stress at lower edge in Flange of I beam equation looks like with Values.

Here is how the Moment of Inertia given Longitudinal Shear Stress at lower edge in Flange of I beam equation looks like with Units.

Here is how the Moment of Inertia given Longitudinal Shear Stress at lower edge in Flange of I beam equation looks like.

3.6E+7 = (\frac{24.8}{8 \cdot 55}) \cdot (800^{2} - 15^{2})

3.6E+7mm⁴ = (\frac{24.8kN}{8 \cdot 55MPa}) \cdot ({800mm}^{2} - {15mm}^{2})

3.6E+7 = (\frac{24.8}{8 \cdot 55}) \cdot (800^{2} - 15^{2})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Strength of Materials » fx Moment of Inertia given Longitudinal Shear Stress at lower edge in Flange of I beam

Moment of Inertia given Longitudinal Shear Stress at lower edge in Flange of I beam Solution

Follow our step by step solution on how to calculate Moment of Inertia given Longitudinal Shear Stress at lower edge in Flange of I beam?

FIRST Step Consider the formula

I = (\frac{V}{8 \cdot τ}) \cdot (D^{2} - {d w}^{2})

Next Step Substitute values of Variables

∴

I = (\frac{24.8kN}{8 \cdot 55MPa}) \cdot ({800mm}^{2} - {15mm}^{2})

Next Step Convert Units

∴

I = (\frac{24800N}{8 \cdot 5.5E+7Pa}) \cdot ({0.8m}^{2} - {0.015m}^{2})

Next Step Prepare to Evaluate

∴

I = (\frac{24800}{8 \cdot 5.5E+7}) \cdot ({0.8}^{2} - {0.015}^{2})

Next Step Evaluate

∴

I = 3.60600454545455E-05m⁴

Next Step Convert to Output's Unit

∴

I = 36060045.4545455mm⁴

LAST Step Rounding Answer

∴

I = 3.6E+7mm⁴

Moment of Inertia given Longitudinal Shear Stress at lower edge in Flange of I beam Formula Elements

Variables

Area Moment of Inertia

Area Moment of Inertia is a moment about the centroidal axis without considering mass.

Symbol: I

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find Area Moment of Inertia

Shear Force

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

Symbol: V

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Shear Force

Shear Stress

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

Symbol: τ

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear Stress

Overall Depth of I Beam

Overall Depth of I Beam is the total height or depth of the I-section from the top fiber of the top flange to the bottom fiber of the bottom flange.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Overall Depth of I Beam

Depth of Web

Depth of Web is the dimension of the web measured perpendicular to the neutral axis.

Symbol: d_w

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of Web

Other Formulas to find Area Moment of Inertia

Go Moment of Inertia given Longitudinal Shear Stress in Web for I beam

I = (\frac{b f \cdot V}{8 \cdot τ \cdot b w}) \cdot (D^{2} - {d w}^{2})

Go Moment of Inertia given Maximum Longitudinal Shear Stress in Web for I beam

I = \frac{(\frac{b f \cdot V}{8 \cdot b w}) \cdot (D^{2} - {d w}^{2})}{τ max} + \frac{\frac{V \cdot {d w}^{2}}{8}}{τ max}

Other formulas in I Beam category

Go Longitudinal Shear Stress in Flange at Lower Depth of I beam

τ = (\frac{V}{8 \cdot I}) \cdot (D^{2} - {d w}^{2})

Go Transverse Shear given Longitudinal Shear Stress in Flange for I beam

V = \frac{8 \cdot I \cdot τ}{D^{2} - {d w}^{2}}

Go Breadth of Web given Longitudinal Shear Stress in Web for I beam

b w = (\frac{b f \cdot V}{8 \cdot τ \cdot I}) \cdot (D^{2} - {d w}^{2})

Go Breadth of Flange Given Longitudinal Shear Stress in Web for I beam

b f = \frac{8 \cdot I \cdot τ \cdot b w}{V \cdot (D^{2} - {d w}^{2})}

How to Evaluate Moment of Inertia given Longitudinal Shear Stress at lower edge in Flange of I beam?

Moment of Inertia given Longitudinal Shear Stress at lower edge in Flange of I beam evaluator uses Area Moment of Inertia = (Shear Force/(8*Shear Stress))*(Overall Depth of I Beam^2-Depth of Web^2) to evaluate the Area Moment of Inertia, Moment of Inertia given Longitudinal Shear Stress at lower edge in Flange of I beam is defined as the moment of inertia of the cross-section undergoing shearing. Area Moment of Inertia is denoted by I symbol.

How to evaluate Moment of Inertia given Longitudinal Shear Stress at lower edge in Flange of I beam using this online evaluator? To use this online evaluator for Moment of Inertia given Longitudinal Shear Stress at lower edge in Flange of I beam, enter Shear Force (V), Shear Stress (τ), Overall Depth of I Beam (D) & Depth of Web (d_w) and hit the calculate button.

FAQs on Moment of Inertia given Longitudinal Shear Stress at lower edge in Flange of I beam

What is the formula to find Moment of Inertia given Longitudinal Shear Stress at lower edge in Flange of I beam?

The formula of Moment of Inertia given Longitudinal Shear Stress at lower edge in Flange of I beam is expressed as Area Moment of Inertia = (Shear Force/(8*Shear Stress))*(Overall Depth of I Beam^2-Depth of Web^2). Here is an example- 3.6E-5 = (24800/(8*55000000))*(0.8^2-0.015^2).

How to calculate Moment of Inertia given Longitudinal Shear Stress at lower edge in Flange of I beam?

With Shear Force (V), Shear Stress (τ), Overall Depth of I Beam (D) & Depth of Web (d_w) we can find Moment of Inertia given Longitudinal Shear Stress at lower edge in Flange of I beam using the formula - Area Moment of Inertia = (Shear Force/(8*Shear Stress))*(Overall Depth of I Beam^2-Depth of Web^2).

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

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

Area Moment of Inertia=((Width of Flange*Shear Force)/(8*Shear Stress*Width of Web))*(Overall Depth of I Beam^2-Depth of Web^2)
Area Moment of Inertia=(((Width of Flange*Shear Force)/(8*Width of Web))*(Overall Depth of I Beam^2-Depth of Web^2))/Maximum Shear Stress+((Shear Force*Depth of Web^2)/8)/Maximum Shear Stress

Can the Moment of Inertia given Longitudinal Shear Stress at lower edge in Flange of I beam be negative?

No, the Moment of Inertia given Longitudinal Shear Stress at lower edge in Flange of I beam, measured in Second Moment of Area cannot be negative.

Which unit is used to measure Moment of Inertia given Longitudinal Shear Stress at lower edge in Flange of I beam?

Moment of Inertia given Longitudinal Shear Stress at lower edge in Flange of I beam is usually measured using the Millimeter⁴[mm⁴] for Second Moment of Area. Meter⁴[mm⁴], Centimeter⁴[mm⁴] are the few other units in which Moment of Inertia given Longitudinal Shear Stress at lower edge in Flange of I beam can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Moment of Inertia given Longitudinal Shear Stress at lower edge in Flange of I beam Formula

​GoMoment of Inertia given Longitudinal Shear Stress in Web for I beam Formula

​GoMoment of Inertia given Maximum Longitudinal Shear Stress in Web for I beam Formula

Moment of Inertia given Longitudinal Shear Stress at lower edge in Flange of I beam Example

Moment of Inertia given Longitudinal Shear Stress at lower edge in Flange of I beam Solution

Moment of Inertia given Longitudinal Shear Stress at lower edge in Flange of I beam Formula Elements

Other Formulas to find Area Moment of Inertia

Other formulas in I Beam category

How to Evaluate Moment of Inertia given Longitudinal Shear Stress at lower edge in Flange of I beam?

FAQs on Moment of Inertia given Longitudinal Shear Stress at lower edge in Flange of I beam

Variable Name

GoMoment of Inertia given Longitudinal Shear Stress in Web for I beam Formula

GoMoment of Inertia given Maximum Longitudinal Shear Stress in Web for I beam Formula