Moment of Inertia of Longitudinal Stiffeners Calculator

✖The clear distance between flanges is the support length of the web of an I-section.ⓘ Clear Distance between Flanges [D]			+10% -10%
✖Web Thickness is the thickness of the web of the I-section of any beam or column which is between the flanges.ⓘ Web Thickness [t]			+10% -10%
✖The actual distance between transverse stiffeners is the distance between which are aligned normal to the span direction of the beam.ⓘ Actual Distance between Transverse Stiffeners [A_o]			+10% -10%

✖The moment of inertia is the quantity expressed by the body resisting angular acceleration, which is the sum of the product of the mass with its square of the distance from the axis of rotation.ⓘ Moment of Inertia of Longitudinal Stiffeners [I]

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Formula

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Moment of Inertia of Longitudinal Stiffeners

Formula

`"I" = "D"*"t"^3*(2.4*("A"_{"o"}^2/"D"^2)-0.13)`

Example

`"14640mm⁴"="45mm"*("20mm")^3*(2.4*(("12mm")^2/("45mm")^2)-0.13)`

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Download Connectors and Stiffeners in Bridges Formulas PDF

Moment of Inertia of Longitudinal Stiffeners Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia = Clear Distance between Flanges*Web Thickness^3*(2.4*(Actual Distance between Transverse Stiffeners^2/Clear Distance between Flanges^2)-0.13)
I = D*t^3*(2.4*(A_o^2/D^2)-0.13)
This formula uses 4 Variables

Variables Used

Moment of Inertia - (Measured in Meter⁴) - The moment of inertia is the quantity expressed by the body resisting angular acceleration, which is the sum of the product of the mass with its square of the distance from the axis of rotation.
Clear Distance between Flanges - (Measured in Meter) - The clear distance between flanges is the support length of the web of an I-section.
Web Thickness - (Measured in Meter) - Web Thickness is the thickness of the web of the I-section of any beam or column which is between the flanges.
Actual Distance between Transverse Stiffeners - (Measured in Meter) - The actual distance between transverse stiffeners is the distance between which are aligned normal to the span direction of the beam.

STEP 1: Convert Input(s) to Base Unit

Clear Distance between Flanges: 45 Millimeter --> 0.045 Meter (Check conversion here)
Web Thickness: 20 Millimeter --> 0.02 Meter (Check conversion here)
Actual Distance between Transverse Stiffeners: 12 Millimeter --> 0.012 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = D*t^3*(2.4*(A_o^2/D^2)-0.13) --> 0.045*0.02^3*(2.4*(0.012^2/0.045^2)-0.13)

Evaluating ... ...

I = 1.464E-08

STEP 3: Convert Result to Output's Unit

1.464E-08 Meter⁴ -->14640 Millimeter⁴ (Check conversion here)

FINAL ANSWER

14640 Millimeter⁴ <-- Moment of Inertia

(Calculation completed in 00.004 seconds)

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< 2 Longitudinal Stiffeners Calculators

Web Thickness given Moment of Inertia of Longitudinal Stiffeners

Go Web Thickness = (Moment of Inertia/(Clear Distance between Flanges*(2.4*(Actual Distance between Transverse Stiffeners^2/Clear Distance between Flanges^2)-0.13)))^(1/3)

Moment of Inertia of Longitudinal Stiffeners

Go Moment of Inertia = Clear Distance between Flanges*Web Thickness^3*(2.4*(Actual Distance between Transverse Stiffeners^2/Clear Distance between Flanges^2)-0.13)

Moment of Inertia of Longitudinal Stiffeners Formula

Moment of Inertia = Clear Distance between Flanges*Web Thickness^3*(2.4*(Actual Distance between Transverse Stiffeners^2/Clear Distance between Flanges^2)-0.13)
I = D*t^3*(2.4*(A_o^2/D^2)-0.13)

What is Moment of Inertia?

The area moment of inertia is a property of a two-dimensional plane shape which characterizes its deflection under loading. It is also known as the second moment of area or second moment of inertia. The area moment of inertia has dimensions of length to the fourth power.

How to Calculate Moment of Inertia of Longitudinal Stiffeners?

Moment of Inertia of Longitudinal Stiffeners calculator uses Moment of Inertia = Clear Distance between Flanges*Web Thickness^3*(2.4*(Actual Distance between Transverse Stiffeners^2/Clear Distance between Flanges^2)-0.13) to calculate the Moment of Inertia, The Moment of Inertia of Longitudinal Stiffeners formula is defined as the second moment of area or moment of the centroid of the area which is placed with the center of gravity of the fastener's h/5 from the toe, or inner face, of the compression flange. Moment of Inertia is denoted by I symbol.

How to calculate Moment of Inertia of Longitudinal Stiffeners using this online calculator? To use this online calculator for Moment of Inertia of Longitudinal Stiffeners, enter Clear Distance between Flanges (D), Web Thickness (t) & Actual Distance between Transverse Stiffeners (A_o) and hit the calculate button. Here is how the Moment of Inertia of Longitudinal Stiffeners calculation can be explained with given input values -> 1.5E+16 = 0.045*0.02^3*(2.4*(0.012^2/0.045^2)-0.13).

FAQ

What is Moment of Inertia of Longitudinal Stiffeners?

The Moment of Inertia of Longitudinal Stiffeners formula is defined as the second moment of area or moment of the centroid of the area which is placed with the center of gravity of the fastener's h/5 from the toe, or inner face, of the compression flange and is represented as I = D*t^3*(2.4*(A_o^2/D^2)-0.13) or Moment of Inertia = Clear Distance between Flanges*Web Thickness^3*(2.4*(Actual Distance between Transverse Stiffeners^2/Clear Distance between Flanges^2)-0.13). The clear distance between flanges is the support length of the web of an I-section, Web Thickness is the thickness of the web of the I-section of any beam or column which is between the flanges & The actual distance between transverse stiffeners is the distance between which are aligned normal to the span direction of the beam.

How to calculate Moment of Inertia of Longitudinal Stiffeners?

The Moment of Inertia of Longitudinal Stiffeners formula is defined as the second moment of area or moment of the centroid of the area which is placed with the center of gravity of the fastener's h/5 from the toe, or inner face, of the compression flange is calculated using Moment of Inertia = Clear Distance between Flanges*Web Thickness^3*(2.4*(Actual Distance between Transverse Stiffeners^2/Clear Distance between Flanges^2)-0.13). To calculate Moment of Inertia of Longitudinal Stiffeners, you need Clear Distance between Flanges (D), Web Thickness (t) & Actual Distance between Transverse Stiffeners (A_o). With our tool, you need to enter the respective value for Clear Distance between Flanges, Web Thickness & Actual Distance between Transverse Stiffeners and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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