Minimum Moment of Inertia of Transverse Stiffener Calculator

✖The actual stiffener spacing is the distance between two stiffeners which is placed either longitudinal (aligned in the span) or transverse (normal to the span).ⓘ Actual Stiffener Spacing [a_o]			+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 clear distance between flanges is the support length of the web of an I-section.ⓘ Clear Distance between Flanges [D]			+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.ⓘ Minimum Moment of Inertia of Transverse Stiffener [I]

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Minimum Moment of Inertia of Transverse Stiffener Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia = Actual Stiffener Spacing*Web Thickness^3*(2.5*(Clear Distance between Flanges^2/Actual Stiffener Spacing^2)-2)
I = a_o*t^3*(2.5*(D^2/a_o^2)-2)
This formula uses 4 Variables

Variables Used

Moment of Inertia - (Measured in Millimeter⁴) - 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.
Actual Stiffener Spacing - (Measured in Millimeter) - The actual stiffener spacing is the distance between two stiffeners which is placed either longitudinal (aligned in the span) or transverse (normal to the span).
Web Thickness - (Measured in Millimeter) - Web Thickness is the thickness of the web of the I-section of any beam or column which is between the flanges.
Clear Distance between Flanges - (Measured in Millimeter) - The clear distance between flanges is the support length of the web of an I-section.

STEP 1: Convert Input(s) to Base Unit

Actual Stiffener Spacing: 50 Millimeter --> 50 Millimeter No Conversion Required
Web Thickness: 20 Millimeter --> 20 Millimeter No Conversion Required
Clear Distance between Flanges: 45 Millimeter --> 45 Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = a_o*t^3*(2.5*(D^2/a_o^2)-2) --> 50*20^3*(2.5*(45^2/50^2)-2)

Evaluating ... ...

I = 10000.0000000001

STEP 3: Convert Result to Output's Unit

1.00000000000001E-08 Meter⁴ -->10000.0000000001 Millimeter⁴ (Check conversion here)

FINAL ANSWER

10000.0000000001 ≈ 10000 Millimeter⁴ <-- Moment of Inertia

(Calculation completed in 00.004 seconds)

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< Stiffeners on Bridge Girders Calculators

Web Thickness for Minimum Moment of Inertia of Transverse Stiffener

LaTeX Go Web Thickness = (Moment of Inertia/(Actual Stiffener Spacing*((2.5*Clear Distance between Flanges^2/Actual Stiffener Spacing^2)-2)))^(1/3)

Minimum Moment of Inertia of Transverse Stiffener

LaTeX Go Moment of Inertia = Actual Stiffener Spacing*Web Thickness^3*(2.5*(Clear Distance between Flanges^2/Actual Stiffener Spacing^2)-2)

Actual Stiffener Spacing for Minimum Moment of Inertia of Transverse Stiffener

LaTeX Go Actual Stiffener Spacing = Moment of Inertia/(Web Thickness^3*Constant)

Minimum Moment of Inertia of Transverse Stiffener Formula

LaTeX Go

Moment of Inertia = Actual Stiffener Spacing*Web Thickness^3*(2.5*(Clear Distance between Flanges^2/Actual Stiffener Spacing^2)-2)
I = a_o*t^3*(2.5*(D^2/a_o^2)-2)

What is Moment of Inertia?

The second moment of area, also known as area moment of inertia, is a geometrical property of an area which reflects how its points are distributed with regard to an arbitrary axis. If the piece is thin, however, the mass moment of inertia equals the area density times the area moment of inertia

How to Calculate Minimum Moment of Inertia of Transverse Stiffener?

Minimum Moment of Inertia of Transverse Stiffener calculator uses Moment of Inertia = Actual Stiffener Spacing*Web Thickness^3*(2.5*(Clear Distance between Flanges^2/Actual Stiffener Spacing^2)-2) to calculate the Moment of Inertia, The Minimum Moment of Inertia of Transverse Stiffener formula is defined as the second moment of the area of a transverse stiffener which is the minimum. Moment of Inertia is denoted by I symbol.

How to calculate Minimum Moment of Inertia of Transverse Stiffener using this online calculator? To use this online calculator for Minimum Moment of Inertia of Transverse Stiffener, enter Actual Stiffener Spacing (a_o), Web Thickness (t) & Clear Distance between Flanges (D) and hit the calculate button. Here is how the Minimum Moment of Inertia of Transverse Stiffener calculation can be explained with given input values -> 1E+16 = 0.05*0.02^3*(2.5*(0.045^2/0.05^2)-2).

FAQ

What is Minimum Moment of Inertia of Transverse Stiffener?

The Minimum Moment of Inertia of Transverse Stiffener formula is defined as the second moment of the area of a transverse stiffener which is the minimum and is represented as I = a_o*t^3*(2.5*(D^2/a_o^2)-2) or Moment of Inertia = Actual Stiffener Spacing*Web Thickness^3*(2.5*(Clear Distance between Flanges^2/Actual Stiffener Spacing^2)-2). The actual stiffener spacing is the distance between two stiffeners which is placed either longitudinal (aligned in the span) or transverse (normal to the span), Web Thickness is the thickness of the web of the I-section of any beam or column which is between the flanges & The clear distance between flanges is the support length of the web of an I-section.

How to calculate Minimum Moment of Inertia of Transverse Stiffener?

The Minimum Moment of Inertia of Transverse Stiffener formula is defined as the second moment of the area of a transverse stiffener which is the minimum is calculated using Moment of Inertia = Actual Stiffener Spacing*Web Thickness^3*(2.5*(Clear Distance between Flanges^2/Actual Stiffener Spacing^2)-2). To calculate Minimum Moment of Inertia of Transverse Stiffener, you need Actual Stiffener Spacing (a_o), Web Thickness (t) & Clear Distance between Flanges (D). With our tool, you need to enter the respective value for Actual Stiffener Spacing, Web Thickness & Clear Distance between Flanges 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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